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1,803.01667 | The high voltage system for the novel MPGD-based photon detectors of
COMPASS RICH-1 | The architecture of the novel MPGD-based photon detectors of COMPASS RICH-1
consists in a large-size hybrid MPGD multilayer layout combining two layers of
Thick-GEMs and a bulk resistive MICROMEGAS. Concerning biasing voltage, the
Thick-GEMs are segmented in order to reduce the energy released in case of
occasional discharges, while the MICROMEGAS anode is segmented in pads
individually biased at positive voltage, while the micromesh is grounded. In
total, there are ten different electrode types and more than 20000 electrodes
supplied by more than 100 HV channels. Commercial power supply units are used.
The original elements of the power supply system are the architecture of the
voltage distribution net, the compensation, by voltage adjustment, of the
effects of pressure and temperature variation affecting the detector gain and a
sophisticated control software, which allows to protect the detectors against
errors by the operator, to monitor and log voltages and current at 1 Hz rate
and to automatically react to detector misbehaviors. The HV system and its
performance are described in detail as well as the electrical stability of the
detector during the operation at COMPASS.
| physics.ins-det hep-ex nucl-ex | the architecture of the novel mpgdbased photon detectors of compass rich1 consists in a largesize hybrid mpgd multilayer layout combining two layers of thickgems and a bulk resistive micromegas concerning biasing voltage the thickgems are segmented in order to reduce the energy released in case of occasional discharges while the micromegas anode is segmented in pads individually biased at positive voltage while the micromesh is grounded in total there are ten different electrode types and more than 20000 electrodes supplied by more than 100 hv channels commercial power supply units are used the original elements of the power supply system are the architecture of the voltage distribution net the compensation by voltage adjustment of the effects of pressure and temperature variation affecting the detector gain and a sophisticated control software which allows to protect the detectors against errors by the operator to monitor and log voltages and current at 1 hz rate and to automatically react to detector misbehaviors the hv system and its performance are described in detail as well as the electrical stability of the detector during the operation at compass | [['the', 'architecture', 'of', 'the', 'novel', 'mpgdbased', 'photon', 'detectors', 'of', 'compass', 'rich1', 'consists', 'in', 'a', 'largesize', 'hybrid', 'mpgd', 'multilayer', 'layout', 'combining', 'two', 'layers', 'of', 'thickgems', 'and', 'a', 'bulk', 'resistive', 'micromegas', 'concerning', 'biasing', 'voltage', 'the', 'thickgems', 'are', 'segmented', 'in', 'order', 'to', 'reduce', 'the', 'energy', 'released', 'in', 'case', 'of', 'occasional', 'discharges', 'while', 'the', 'micromegas', 'anode', 'is', 'segmented', 'in', 'pads', 'individually', 'biased', 'at', 'positive', 'voltage', 'while', 'the', 'micromesh', 'is', 'grounded', 'in', 'total', 'there', 'are', 'ten', 'different', 'electrode', 'types', 'and', 'more', 'than', '20000', 'electrodes', 'supplied', 'by', 'more', 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1,803.01668 | Dynamics and formation of obscuring tori in AGNs | We considered the evolution of a self-gravitating clumpy torus in the
gravitational field of the central mass of an active galactic nucleus (AGN) in
the framework of the N-body problem. The initial conditions take into account
winds with different opening angles. Results of our N-body simulations show
that the clouds moving on orbits with a spread in inclinations and
eccentricities form a toroidal region. The velocity of the clouds at the inner
boundary of the torus is lower than in a disk model that can explain the
observed rotation curves. We discuss the scenario of torus formation related
with the beginning of the AGN stage.
| astro-ph.GA | we considered the evolution of a selfgravitating clumpy torus in the gravitational field of the central mass of an active galactic nucleus agn in the framework of the nbody problem the initial conditions take into account winds with different opening angles results of our nbody simulations show that the clouds moving on orbits with a spread in inclinations and eccentricities form a toroidal region the velocity of the clouds at the inner boundary of the torus is lower than in a disk model that can explain the observed rotation curves we discuss the scenario of torus formation related with the beginning of the agn stage | [['we', 'considered', 'the', 'evolution', 'of', 'a', 'selfgravitating', 'clumpy', 'torus', 'in', 'the', 'gravitational', 'field', 'of', 'the', 'central', 'mass', 'of', 'an', 'active', 'galactic', 'nucleus', 'agn', 'in', 'the', 'framework', 'of', 'the', 'nbody', 'problem', 'the', 'initial', 'conditions', 'take', 'into', 'account', 'winds', 'with', 'different', 'opening', 'angles', 'results', 'of', 'our', 'nbody', 'simulations', 'show', 'that', 'the', 'clouds', 'moving', 'on', 'orbits', 'with', 'a', 'spread', 'in', 'inclinations', 'and', 'eccentricities', 'form', 'a', 'toroidal', 'region', 'the', 'velocity', 'of', 'the', 'clouds', 'at', 'the', 'inner', 'boundary', 'of', 'the', 'torus', 'is', 'lower', 'than', 'in', 'a', 'disk', 'model', 'that', 'can', 'explain', 'the', 'observed', 'rotation', 'curves', 'we', 'discuss', 'the', 'scenario', 'of', 'torus', 'formation', 'related', 'with', 'the', 'beginning', 'of', 'the', 'agn', 'stage']] | [-0.165272720468541, 0.10318411699221802, -0.11057369522306891, 0.08361799930377553, -0.03559594109787473, -0.017464785135927655, -0.015727939708657296, 0.3700716740318707, -0.1971233850832851, -0.29340603787984165, 0.05657003281105842, -0.19928569557987863, -0.03784158689280351, 0.1941788973619363, -0.018247757566305586, -0.03382458003858725, 0.05843101994223183, -0.04172703711914697, -0.05465099522123291, -0.2310806011692399, 0.3747724217939235, 0.07235435667846885, 0.10674819073506764, -0.02224096112456339, 0.08285770303170596, -0.08340149496105455, -0.013315564957225606, -0.012445088307417574, -0.17962975266370146, 0.07044185114292693, 0.16705083992509615, 0.09042297484619277, 0.23993438296463518, -0.42621714423100154, -0.23993692952873452, 0.05931945309220325, 0.17980685801733107, 0.08406757109665446, -0.07766888069898067, -0.24888468667687405, 0.03480383337342313, -0.20987830386452733, -0.23305060374772266, 0.07684150608699947, 0.03361018216348297, 0.02974204613960215, -0.24101852123581227, 0.0905516609904312, 0.07295474849996113, 0.05499830919184855, -0.14294489086383866, -0.06913627018885952, -0.08765736843370611, 0.09566276021235223, 0.06119554211008584, 0.04645535022996011, 0.20272331627396245, -0.17035476281529383, -0.05783700842765115, 0.43269400832553706, -0.024795698967257824, -0.11513731926901355, 0.2047413019729512, -0.24671806310791344, -0.12261060224402519, 0.16653028723029864, 0.22295885747742086, 0.12567469058558345, -0.0591186495320428, 0.030791875621902623, -0.10888828835560985, 0.15940878332725594, 0.03005868020201368, -0.0272962798142717, 0.3340516975592999, 0.12096912671057951, 0.05060927162523426, 0.13508833104278892, -0.186050386802249, -0.1375476785270231, -0.2904768700312291, -0.0905270185232872, -0.11455016325538357, 0.05859548802975388, -0.16318940393878922, -0.11741160849286687, 0.3600158259693888, 0.11013395511766984, 0.2668053778509299, 0.036361916393451835, 0.3170988902671351, 0.07278033885883078, 0.08443063426141938, 0.1479684065894357, 0.3084574645473844, 0.13867980280802364, 0.06631293342493119, -0.27731084591442984, 0.044758123873422546, 0.04647998706925483] |
1,803.01669 | Affine Differential Invariants for Invariant Feature Point Detection | Image feature points are detected as pixels which locally maximize a detector
function, two commonly used examples of which are the (Euclidean) image
gradient and the Harris-Stephens corner detector. A major limitation of these
feature detectors are that they are only Euclidean-invariant. In this work we
demonstrate the application of a 2D affine-invariant image feature point
detector based on differential invariants as derived through the equivariant
method of moving frames. The fundamental equi-affine differential invariants
for 3D image volumes are also computed.
| cs.CV math.GR | image feature points are detected as pixels which locally maximize a detector function two commonly used examples of which are the euclidean image gradient and the harrisstephens corner detector a major limitation of these feature detectors are that they are only euclideaninvariant in this work we demonstrate the application of a 2d affineinvariant image feature point detector based on differential invariants as derived through the equivariant method of moving frames the fundamental equiaffine differential invariants for 3d image volumes are also computed | [['image', 'feature', 'points', 'are', 'detected', 'as', 'pixels', 'which', 'locally', 'maximize', 'a', 'detector', 'function', 'two', 'commonly', 'used', 'examples', 'of', 'which', 'are', 'the', 'euclidean', 'image', 'gradient', 'and', 'the', 'harrisstephens', 'corner', 'detector', 'a', 'major', 'limitation', 'of', 'these', 'feature', 'detectors', 'are', 'that', 'they', 'are', 'only', 'euclideaninvariant', 'in', 'this', 'work', 'we', 'demonstrate', 'the', 'application', 'of', 'a', '2d', 'affineinvariant', 'image', 'feature', 'point', 'detector', 'based', 'on', 'differential', 'invariants', 'as', 'derived', 'through', 'the', 'equivariant', 'method', 'of', 'moving', 'frames', 'the', 'fundamental', 'equiaffine', 'differential', 'invariants', 'for', '3d', 'image', 'volumes', 'are', 'also', 'computed']] | [-0.0729239908279851, 0.019257061119424178, -0.07605847935192286, 0.0741660408952157, -0.040720408974448216, -0.1456433996267151, -0.064116198812917, 0.4406060826033354, -0.2918221793952398, -0.31051044766791164, 0.14545179345441284, -0.3310313466005027, -0.19206940634758213, 0.20205702117818874, -0.11298702172935009, 0.14234934271080418, 0.10042691630369519, 0.04406982923974283, -0.1122697560043889, -0.2467026309150242, 0.35103322714567187, 0.012379649770446121, 0.30183170293457806, -0.01107718181447126, 0.18005245104141068, -0.05756386300199665, -0.08009872865513898, 0.023888586775865406, -0.05292448852896996, 0.1529705640859902, 0.34395758451428265, 0.10940299741341733, 0.17919327425770462, -0.4010993080213666, -0.19043429829180242, 0.07746302816085518, 0.13364971915143542, 0.0681307138846023, -0.09065721330262022, -0.3205646543065086, 0.10025396711425856, -0.09279636312858201, -0.04070963800186291, -0.0674512903788127, -0.030805012391647325, 0.03250483176088892, -0.22344568998087197, 0.022088266751597984, 0.07252072494302411, 0.07909118273528293, -0.04101932519697584, -0.098203759547323, -0.04542837550980039, 0.13384617910487578, -0.014279186475323512, 0.06296840272261761, 0.1936357918631984, -0.13802979403117205, -0.10217249070992693, 0.36829911209642885, -0.030852805380709468, -0.27327541549457235, 0.15374433317920194, -0.09867727459641173, -0.08758881909307092, 0.13830086220987142, 0.2016640918853227, 0.18401604417490489, -0.15275611847173423, 0.04369618124255794, -0.05221088780090213, 0.10913956008917011, 0.09001865195459686, 0.04262444477644749, 0.20577280567085837, 0.12453390525188297, 0.08344122709240764, 0.14190567363839363, -0.19516915179265198, -0.06205345338094048, -0.3422848082147539, -0.19996498241671362, -0.2174866263725562, -0.015351490210741758, -0.09373733339580212, -0.1753973918966949, 0.4024962470284663, 0.1392303358297795, 0.24202903981786222, 0.025653525328380056, 0.32538643903099, 0.07553820035827812, 0.12543534378055482, 0.019566719734575598, 0.22439256131183355, 0.05787923039970337, 0.03174892278566403, -0.11454124761366984, 0.0006374948308803142, 0.16628540655365215] |
1,803.0167 | Sub-TeV Quintuplet Minimal Dark Matter with Left-Right Symmetry | A detailed study of a fermionic quintuplet dark matter in a left-right
symmetric scenario is performed in this article. The minimal quintuplet dark
matter model is highly constrained from the WMAP dark matter relic density (RD)
data. To elevate this constraint, an extra singlet scalar is introduced. It
introduces a host of new annihilation and co-annihilation channels for the dark
matter, allowing even sub-TeV masses. The phenomenology of this singlet scalar
is studied in detail in the context of the Large Hadron Collider (LHC)
experiment. The production and decay of this singlet scalar at the LHC give
rise to interesting resonant di-Higgs or diphoton final states. We also
constrain the RD allowed parameter space of this model in light of the ATLAS
bounds on the resonant di-Higgs and diphoton cross-sections.
| hep-ph | a detailed study of a fermionic quintuplet dark matter in a leftright symmetric scenario is performed in this article the minimal quintuplet dark matter model is highly constrained from the wmap dark matter relic density rd data to elevate this constraint an extra singlet scalar is introduced it introduces a host of new annihilation and coannihilation channels for the dark matter allowing even subtev masses the phenomenology of this singlet scalar is studied in detail in the context of the large hadron collider lhc experiment the production and decay of this singlet scalar at the lhc give rise to interesting resonant dihiggs or diphoton final states we also constrain the rd allowed parameter space of this model in light of the atlas bounds on the resonant dihiggs and diphoton crosssections | [['a', 'detailed', 'study', 'of', 'a', 'fermionic', 'quintuplet', 'dark', 'matter', 'in', 'a', 'leftright', 'symmetric', 'scenario', 'is', 'performed', 'in', 'this', 'article', 'the', 'minimal', 'quintuplet', 'dark', 'matter', 'model', 'is', 'highly', 'constrained', 'from', 'the', 'wmap', 'dark', 'matter', 'relic', 'density', 'rd', 'data', 'to', 'elevate', 'this', 'constraint', 'an', 'extra', 'singlet', 'scalar', 'is', 'introduced', 'it', 'introduces', 'a', 'host', 'of', 'new', 'annihilation', 'and', 'coannihilation', 'channels', 'for', 'the', 'dark', 'matter', 'allowing', 'even', 'subtev', 'masses', 'the', 'phenomenology', 'of', 'this', 'singlet', 'scalar', 'is', 'studied', 'in', 'detail', 'in', 'the', 'context', 'of', 'the', 'large', 'hadron', 'collider', 'lhc', 'experiment', 'the', 'production', 'and', 'decay', 'of', 'this', 'singlet', 'scalar', 'at', 'the', 'lhc', 'give', 'rise', 'to', 'interesting', 'resonant', 'dihiggs', 'or', 'diphoton', 'final', 'states', 'we', 'also', 'constrain', 'the', 'rd', 'allowed', 'parameter', 'space', 'of', 'this', 'model', 'in', 'light', 'of', 'the', 'atlas', 'bounds', 'on', 'the', 'resonant', 'dihiggs', 'and', 'diphoton', 'crosssections']] | [-0.1204454148761355, 0.2387275886875264, -0.1075575141576477, 0.18806283639009613, -0.11710575701525579, -0.17681616818389068, -0.020119521179451393, 0.2649515428687804, -0.18803376029961957, -0.31603280851760734, -0.004626480413851543, -0.2622113027753165, 0.00497551524402717, 0.10212832344875027, 0.06838244896811935, 0.05826615049199273, 0.03640217915750467, 0.0096004085507817, -0.01569465936627239, -0.2885045182389709, 0.3000201853619029, 0.06685269328837211, 0.16274086534260557, 0.12608782164931584, 0.038174869439815386, 0.007962270922815571, -0.05229931199484361, -0.14081446380520132, -0.17045510185595888, 0.0989468978838816, 0.20356380125650994, 0.09556208537318385, 0.11097146765185663, -0.3610905380346454, -0.15057504567174385, 0.24503687444644479, 0.17450186685802271, 0.0948957988813233, -0.12332849955419078, -0.36815382998006846, 0.06090639436756296, -0.2732759516972762, -0.12399114023965711, -0.0027114436173668274, -0.05542298118368937, -0.16226786887452294, -0.3201465456316677, 0.10244137656028705, -0.07565077783253331, -0.03914355530152814, -0.04273207459840565, -0.12790202249844487, -0.0710946451048725, -0.10611893189175484, 0.12497405654285103, -0.015446530384584689, 0.20908113340847195, -0.23684409678591273, -0.1446366463501293, 0.3690247024427383, -0.12911558446223634, -0.1480976636772259, 0.1622772967013029, -0.19115185749788696, -0.188113455592583, 0.14399929666318573, 0.22316972398414062, 0.06091899210587144, -0.18967585572256493, 0.22525387650507933, -0.07785754115231192, 0.1699832775639012, 0.05376700832723425, 0.09578156231078677, 0.31425942054618367, 0.23549322367001038, 0.08440555615637164, 0.0991458525093129, -0.10699789373096652, -0.07593184381795044, -0.4443673155843638, -0.14471872069944555, -0.0789458494919997, -0.028806937771598595, -0.037837821115905314, -0.08160614454312823, 0.42166040966717094, 0.08256665442783673, 0.2563980256923689, -0.023833973662784468, 0.3251759009525323, 0.05009418716654181, 0.04269323417169149, 0.0017387597520540181, 0.3260890243861538, 0.17304587810515212, 0.14115684959106148, -0.24064473486684548, -0.029347247791548188, -0.03507933668756428] |
1,803.01671 | Do thermodynamically stable rigid solids exist? | Customarily, crystalline solids are defined to be {\em rigid} since they
resist changes of shape determined by their boundaries. However, rigid solids
cannot exist in the thermodynamic limit where boundaries become irrelevant.
Particles in the solid may rearrange to adjust to shape changes eliminating
stress without destroying crystalline order. Rigidity is therefore valid only
in the {\em metastable} state that emerges because these particle
rearrangements in response to a deformation, or strain, are associated with
slow collective processes. Here, we show that a thermodynamic collective
variable may be used to quantify particle rearrangements that occur as a solid
is deformed at zero strain rate. Advanced Monte Carlo simulation techniques are
then employed to obtain the equilibrium free energy as a function of this
variable. Our results lead to a new view on rigidity: While at zero strain a
rigid crystal coexists with one that responds to infinitesimal strain by
rearranging particles and expelling stress, at finite strain the rigid crystal
is metastable, associated with a free energy barrier that decreases with
increasing strain. The rigid phase becomes thermodynamically stable by
switching on an external field, which penalises particle rearrangements. This
produces a line of first-order phase transitions in the field - strain plane
that intersects the origin. Failure of a solid once strained beyond its elastic
limit is associated with kinetic decay processes of the metastable rigid
crystal deformed with a finite strain rate. These processes can be understood
in quantitative detail using our computed phase diagram as reference.
| cond-mat.mtrl-sci cond-mat.soft cond-mat.stat-mech | customarily crystalline solids are defined to be em rigid since they resist changes of shape determined by their boundaries however rigid solids cannot exist in the thermodynamic limit where boundaries become irrelevant particles in the solid may rearrange to adjust to shape changes eliminating stress without destroying crystalline order rigidity is therefore valid only in the em metastable state that emerges because these particle rearrangements in response to a deformation or strain are associated with slow collective processes here we show that a thermodynamic collective variable may be used to quantify particle rearrangements that occur as a solid is deformed at zero strain rate advanced monte carlo simulation techniques are then employed to obtain the equilibrium free energy as a function of this variable our results lead to a new view on rigidity while at zero strain a rigid crystal coexists with one that responds to infinitesimal strain by rearranging particles and expelling stress at finite strain the rigid crystal is metastable associated with a free energy barrier that decreases with increasing strain the rigid phase becomes thermodynamically stable by switching on an external field which penalises particle rearrangements this produces a line of firstorder phase transitions in the field strain plane that intersects the origin failure of a solid once strained beyond its elastic limit is associated with kinetic decay processes of the metastable rigid crystal deformed with a finite strain rate these processes can be understood in quantitative detail using our computed phase diagram as reference | [['customarily', 'crystalline', 'solids', 'are', 'defined', 'to', 'be', 'em', 'rigid', 'since', 'they', 'resist', 'changes', 'of', 'shape', 'determined', 'by', 'their', 'boundaries', 'however', 'rigid', 'solids', 'can', 'not', 'exist', 'in', 'the', 'thermodynamic', 'limit', 'where', 'boundaries', 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1,803.01672 | On the observer dependence of the Hilbert space near the horizon of
black holes | One of the pronounced characteristics of gravity, distinct from other
interactions, is that there are no local observables which are independent of
the choice of the spacetime coordinates. This property acquires crucial
importance in the quantum domain in that the structure of the Hilbert space
pertinent to different observers can be drastically different. Such intriguing
phenomena as the Hawking radiation and the Unruh effect are all rooted in this
feature. As in these examples, the quantum effect due to such
observer-dependence is most conspicuous in the presence of an event horizon and
there are still many questions to be clarified in such a situation. In this
paper, we perform a comprehensive and explicit study of the observer dependence
of the quantum Hilbert space of a massless scalar field in the vicinity of the
horizon of the Schwarzschild black holes in four dimensions, both in the
eternal (two-sided) case and in the physical (one-sided) case created by
collapsing matter. Specifically, we compare and relate the Hilbert spaces of
the three types of observers, namely (i) the freely falling observer, (ii) the
observer who stays at a fixed proper distance outside of the horizon and (iii)
the natural observer inside of the horizon analytically continued from outside.
The concrete results we obtain have a number of important implications on black
hole complementarity pertinent to the quantum equivalence principle and the
related firewall phenomenon, on the number of degrees of freedom seen by each
type of observer, and on the "thermal-type" spectrum of particles realized in a
pure state.
| hep-th gr-qc | one of the pronounced characteristics of gravity distinct from other interactions is that there are no local observables which are independent of the choice of the spacetime coordinates this property acquires crucial importance in the quantum domain in that the structure of the hilbert space pertinent to different observers can be drastically different such intriguing phenomena as the hawking radiation and the unruh effect are all rooted in this feature as in these examples the quantum effect due to such observerdependence is most conspicuous in the presence of an event horizon and there are still many questions to be clarified in such a situation in this paper we perform a comprehensive and explicit study of the observer dependence of the quantum hilbert space of a massless scalar field in the vicinity of the horizon of the schwarzschild black holes in four dimensions both in the eternal twosided case and in the physical onesided case created by collapsing matter specifically we compare and relate the hilbert spaces of the three types of observers namely i the freely falling observer ii the observer who stays at a fixed proper distance outside of the horizon and iii the natural observer inside of the horizon analytically continued from outside the concrete results we obtain have a number of important implications on black hole complementarity pertinent to the quantum equivalence principle and the related firewall phenomenon on the number of degrees of freedom seen by each type of observer and on the thermaltype spectrum of particles realized in a pure state | [['one', 'of', 'the', 'pronounced', 'characteristics', 'of', 'gravity', 'distinct', 'from', 'other', 'interactions', 'is', 'that', 'there', 'are', 'no', 'local', 'observables', 'which', 'are', 'independent', 'of', 'the', 'choice', 'of', 'the', 'spacetime', 'coordinates', 'this', 'property', 'acquires', 'crucial', 'importance', 'in', 'the', 'quantum', 'domain', 'in', 'that', 'the', 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1,803.01673 | Generalized Bernstein operators on the classical polynomial spaces | We study generalizations of the classical Bernstein operators on polynomial
spaces, where instead of fixing $\mathbf{1}$ and $x$, we require that
$\mathbf{1}$ and a strictly increasing polynomial $f_1$ be fixed. Via several
examples, we exhibit the diversity of behaviours in this more general setting.
We also prove that for sufficiently large dimensions, there always exist
generalized Bernstein operators fixing $\mathbf{1}$ and $f_1$, and converging
to the identity.
| math.CA | we study generalizations of the classical bernstein operators on polynomial spaces where instead of fixing mathbf1 and x we require that mathbf1 and a strictly increasing polynomial f_1 be fixed via several examples we exhibit the diversity of behaviours in this more general setting we also prove that for sufficiently large dimensions there always exist generalized bernstein operators fixing mathbf1 and f_1 and converging to the identity | [['we', 'study', 'generalizations', 'of', 'the', 'classical', 'bernstein', 'operators', 'on', 'polynomial', 'spaces', 'where', 'instead', 'of', 'fixing', 'mathbf1', 'and', 'x', 'we', 'require', 'that', 'mathbf1', 'and', 'a', 'strictly', 'increasing', 'polynomial', 'f_1', 'be', 'fixed', 'via', 'several', 'examples', 'we', 'exhibit', 'the', 'diversity', 'of', 'behaviours', 'in', 'this', 'more', 'general', 'setting', 'we', 'also', 'prove', 'that', 'for', 'sufficiently', 'large', 'dimensions', 'there', 'always', 'exist', 'generalized', 'bernstein', 'operators', 'fixing', 'mathbf1', 'and', 'f_1', 'and', 'converging', 'to', 'the', 'identity']] | [-0.13929401338969205, 0.13562006454692402, -0.04590541573324755, 0.09329322666284252, -0.06780010915305744, -0.16540966713245012, 0.02598809963787225, 0.35542106303150084, -0.2833356203705962, -0.1659880022365433, 0.1148822555290674, -0.2650556334836492, -0.1900102655445017, 0.2006806676178726, -0.06745401969346315, 0.006024417342312301, 0.02140935483986317, 0.04391411387486689, -0.13313364900592992, -0.27479930379108264, 0.39257637849216587, -0.08231278276244706, 0.18666154671627194, 0.039462162508392955, 0.09534554372875215, 0.00546507962020253, 0.003360090798128452, 0.004697212921594506, -0.15488955010282077, 0.11470370955153633, 0.25866728187052174, 0.15128591057232846, 0.27966920708987253, -0.37356794633860907, -0.12576429651521925, 0.24821032649045116, 0.1724033838749599, 0.0033988795476034284, -0.038641903779874275, -0.22266703949712996, 0.13395029299461575, -0.1586581778073155, -0.14797864618030057, -0.13417522334007184, 0.03150796742915218, 0.052998589959913, -0.3393589160683106, 0.03908215298746546, 0.12149223935470652, 0.08744596678819229, -0.01881549460118386, -0.12855646200304321, -0.0015841122410857856, 0.06261828834357769, 0.04096719836503434, 0.07232445747758359, 0.015371421657836259, -0.08995350936441612, -0.08687140288373539, 0.32137815076023785, -0.07042094838367637, -0.30856201619799456, 0.1790634546526221, -0.1904224973039896, -0.2044461172963701, 0.05691014100978179, 0.1290672315743321, 0.16732039914202335, -0.034999475758800754, 0.14994691573291904, -0.10702912195988779, 0.12090047612897496, 0.17168570692136662, 0.05602867205005223, 0.07725149131755331, 0.008822530813848794, 0.12779238904868043, 0.1243657048134856, 0.04813099744618495, -0.08633050203250388, -0.3559968631658981, -0.1670518679016117, -0.14269479042363922, 0.09386761615803438, -0.1473716781048952, -0.15622264600477057, 0.37182122259053274, 0.1175915191546013, 0.20427471568891362, 0.13125142437030576, 0.19827784225344658, 0.15244848863569213, 0.06463755729761142, 0.08876238140597273, 0.12793226575708266, 0.11286559224184324, 0.03580198945032794, -0.15237156246743624, 0.009378635929202411, 0.11402203385898871] |
1,803.01674 | Existence and stability of periodic solutions of an impulsive
differential equation and application to CD8 T-cell differentiation | Unequal partitioning of the molecular content at cell division has been shown
to be a source of heterogeneity in a cell population. We propose to model this
phenomenon with the help of a scalar, nonlinear impulsive differential equation
(IDE). In a first part, we consider a general autonomous IDE with fixed times
of impulse and a specific form of impulse function. We establish properties of
the solutions of that equation, most of them obtained under the hypothesis that
impulses occur periodically. In particular, we show how to investigate the
existence of periodic solutions and their stability by studying the flow of an
autonomous differential equation. A second part is dedicated to the analysis of
the convexity of this flow. Finally, we apply those results to an IDE
describing the concentration of the protein Tbet in a CD8 T-cell, where
impulses are associated to cell division, to study the effect of molecular
partitioning at cell division on the effector/memory cell-fate decision in a
CD8 T-cell lineage. We show that the degree of asymmetry in the molecular
partitioning can affect the process of cell differentiation and the
phenotypical heterogeneity of a cell population.
| math.DS q-bio.SC | unequal partitioning of the molecular content at cell division has been shown to be a source of heterogeneity in a cell population we propose to model this phenomenon with the help of a scalar nonlinear impulsive differential equation ide in a first part we consider a general autonomous ide with fixed times of impulse and a specific form of impulse function we establish properties of the solutions of that equation most of them obtained under the hypothesis that impulses occur periodically in particular we show how to investigate the existence of periodic solutions and their stability by studying the flow of an autonomous differential equation a second part is dedicated to the analysis of the convexity of this flow finally we apply those results to an ide describing the concentration of the protein tbet in a cd8 tcell where impulses are associated to cell division to study the effect of molecular partitioning at cell division on the effectormemory cellfate decision in a cd8 tcell lineage we show that the degree of asymmetry in the molecular partitioning can affect the process of cell differentiation and the phenotypical heterogeneity of a cell population | [['unequal', 'partitioning', 'of', 'the', 'molecular', 'content', 'at', 'cell', 'division', 'has', 'been', 'shown', 'to', 'be', 'a', 'source', 'of', 'heterogeneity', 'in', 'a', 'cell', 'population', 'we', 'propose', 'to', 'model', 'this', 'phenomenon', 'with', 'the', 'help', 'of', 'a', 'scalar', 'nonlinear', 'impulsive', 'differential', 'equation', 'ide', 'in', 'a', 'first', 'part', 'we', 'consider', 'a', 'general', 'autonomous', 'ide', 'with', 'fixed', 'times', 'of', 'impulse', 'and', 'a', 'specific', 'form', 'of', 'impulse', 'function', 'we', 'establish', 'properties', 'of', 'the', 'solutions', 'of', 'that', 'equation', 'most', 'of', 'them', 'obtained', 'under', 'the', 'hypothesis', 'that', 'impulses', 'occur', 'periodically', 'in', 'particular', 'we', 'show', 'how', 'to', 'investigate', 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1,803.01675 | Towards chemically neutral carbon cleaning processes: Plasma cleaning of
Ni, Rh, and Al reflective optical coatings and thin Al filters for Free
Electron Lasers and synchrotron beamline applications | The choice of a reflective optical coating or filter material has to be
adapted to the intended field of application. This is mainly determined by the
required photon energy range or by the required reflection angle. Among various
materials, nickel and rhodium are standard materials used as reflective
coatings for synchrotron mirrors. Conversely, Aluminum is one of the most
commonly used materials for extreme ultraviolet (EUV) and soft X-ray filters.
However, both of these types of optics are subject to carbon contamination,
being increasingly problematic for the operation of the high-performance free
electron laser (FEL) and synchrotron beamlines. For this reason, an inductively
coupled plasma (ICP) source has been used in conjunction with N2/O2/H2 and
N2/H2 feedstock gas plasmas. Results from the chemical surface analysis of the
above materials before and after plasma treatment using X-ray photoelectron
spectroscopy (XPS) are reported. We conclude that a favorable combination of an
N2/H2 plasma feedstock gas mixture leads to the best chemical surface
preservation of Ni, Rh, and Al while removing the carbon contaminations.
However, this feedstock gas mixture does not remove C contaminations as rapidly
as, e.g., a N2/O2/H2 plasma which induces the surface formation of NiO and
NiOOH in Ni and RhOOH in Rh foils. As an applied case, we demonstrate the
successful carbon removal from ultrathin Al filters previously used at the
FERMI FEL1 using a N2/H2 plasma.
| cond-mat.mtrl-sci | the choice of a reflective optical coating or filter material has to be adapted to the intended field of application this is mainly determined by the required photon energy range or by the required reflection angle among various materials nickel and rhodium are standard materials used as reflective coatings for synchrotron mirrors conversely aluminum is one of the most commonly used materials for extreme ultraviolet euv and soft xray filters however both of these types of optics are subject to carbon contamination being increasingly problematic for the operation of the highperformance free electron laser fel and synchrotron beamlines for this reason an inductively coupled plasma icp source has been used in conjunction with n2o2h2 and n2h2 feedstock gas plasmas results from the chemical surface analysis of the above materials before and after plasma treatment using xray photoelectron spectroscopy xps are reported we conclude that a favorable combination of an n2h2 plasma feedstock gas mixture leads to the best chemical surface preservation of ni rh and al while removing the carbon contaminations however this feedstock gas mixture does not remove c contaminations as rapidly as eg a n2o2h2 plasma which induces the surface formation of nio and niooh in ni and rhooh in rh foils as an applied case we demonstrate the successful carbon removal from ultrathin al filters previously used at the fermi fel1 using a n2h2 plasma | [['the', 'choice', 'of', 'a', 'reflective', 'optical', 'coating', 'or', 'filter', 'material', 'has', 'to', 'be', 'adapted', 'to', 'the', 'intended', 'field', 'of', 'application', 'this', 'is', 'mainly', 'determined', 'by', 'the', 'required', 'photon', 'energy', 'range', 'or', 'by', 'the', 'required', 'reflection', 'angle', 'among', 'various', 'materials', 'nickel', 'and', 'rhodium', 'are', 'standard', 'materials', 'used', 'as', 'reflective', 'coatings', 'for', 'synchrotron', 'mirrors', 'conversely', 'aluminum', 'is', 'one', 'of', 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1,803.01676 | Triaxiality Inhibitors in N-Body Simulations | Numerous previous studies have investigated the phenomenon wherein initially
spherical N-body systems are distorted to triaxial shapes. We report on an
investigation of a previously described orbital instability that should oppose
triaxiality. After verifying the instability with numerical orbit integrations
that extend the original analysis, we search for evidence of the instability in
N-body systems that become triaxial. Our results highlight the difficulty in
separating dynamical process from finite-N effects. While we argue that our
analysis points to the presence of the instability in simulated triaxial
systems, discreteness appears to play a role in mimicking the instability. This
suggests that predicting the shapes of real-world systems, such as dark matter
halos around galaxies, based on such simulations involves more uncertainty than
previously thought.
| astro-ph.GA | numerous previous studies have investigated the phenomenon wherein initially spherical nbody systems are distorted to triaxial shapes we report on an investigation of a previously described orbital instability that should oppose triaxiality after verifying the instability with numerical orbit integrations that extend the original analysis we search for evidence of the instability in nbody systems that become triaxial our results highlight the difficulty in separating dynamical process from finiten effects while we argue that our analysis points to the presence of the instability in simulated triaxial systems discreteness appears to play a role in mimicking the instability this suggests that predicting the shapes of realworld systems such as dark matter halos around galaxies based on such simulations involves more uncertainty than previously thought | [['numerous', 'previous', 'studies', 'have', 'investigated', 'the', 'phenomenon', 'wherein', 'initially', 'spherical', 'nbody', 'systems', 'are', 'distorted', 'to', 'triaxial', 'shapes', 'we', 'report', 'on', 'an', 'investigation', 'of', 'a', 'previously', 'described', 'orbital', 'instability', 'that', 'should', 'oppose', 'triaxiality', 'after', 'verifying', 'the', 'instability', 'with', 'numerical', 'orbit', 'integrations', 'that', 'extend', 'the', 'original', 'analysis', 'we', 'search', 'for', 'evidence', 'of', 'the', 'instability', 'in', 'nbody', 'systems', 'that', 'become', 'triaxial', 'our', 'results', 'highlight', 'the', 'difficulty', 'in', 'separating', 'dynamical', 'process', 'from', 'finiten', 'effects', 'while', 'we', 'argue', 'that', 'our', 'analysis', 'points', 'to', 'the', 'presence', 'of', 'the', 'instability', 'in', 'simulated', 'triaxial', 'systems', 'discreteness', 'appears', 'to', 'play', 'a', 'role', 'in', 'mimicking', 'the', 'instability', 'this', 'suggests', 'that', 'predicting', 'the', 'shapes', 'of', 'realworld', 'systems', 'such', 'as', 'dark', 'matter', 'halos', 'around', 'galaxies', 'based', 'on', 'such', 'simulations', 'involves', 'more', 'uncertainty', 'than', 'previously', 'thought']] | [-0.15166094747269754, 0.07473578917658112, -0.14749975982538568, 0.10519915918885682, -0.049942141708755126, -0.04143758841725899, -0.025113142962469075, 0.33884187460672566, -0.18065150437414706, -0.3266591633844182, 0.07335437475741516, -0.2517053471817597, -0.1769864346919112, 0.22398750252105537, 0.0012807236710843455, 0.03730919893937019, 0.0923539782851571, -0.06753884646776549, -0.04943086415703401, -0.2133136180237057, 0.3368135056064684, 0.08875155311226428, 0.20252095260543795, -0.05390271336612541, 0.001097014741744937, -0.002266906322987099, -0.02241293976189402, 0.012338401757301838, -0.15737920073463205, 0.020643217913140128, 0.20824129905597102, 0.07292396031940977, 0.27935615924141577, -0.4394239268939548, -0.278052768732016, 0.09551668757709061, 0.2299849247612907, 0.1692132164896428, -0.11893496787749568, -0.2988995673575976, 0.08124953880148932, -0.17247154957773844, -0.19712164685720715, -0.07293033498735452, 0.04395306508654986, 0.016648267236314865, -0.20799573857386452, 0.1446144601634923, 0.1104412730695676, 0.062375380771189204, -0.10009043099646403, -0.11616615868245471, -0.05146352100996225, 0.05013953224752038, 0.08145125267049487, -0.014494944712131972, 0.19848455391385086, -0.10540513302638703, -0.09784671014015812, 0.4302046084000419, 0.012240831257857769, -0.15791865822523588, 0.22929416126874466, -0.15784948755328249, -0.18335733880720487, 0.12051060646431656, 0.1832059525384954, 0.092382215942082, -0.0742495008365713, 0.00021475664065721088, -0.028730392401159658, 0.18889938206109028, 0.03812873354030213, -0.013780361158788447, 0.29735296586816146, 0.19268519521408858, -0.0007262901247789463, 0.1258907587536255, -0.07463449138648263, -0.16141043499308994, -0.24419636861989047, -0.07055050980184242, -0.13360417138300534, 0.013140704999800877, -0.04813919038837397, -0.16141972236895585, 0.32384171979350407, 0.19116793140556995, 0.19897624989214346, 0.01872146281799892, 0.3024986644040763, 0.05372022341168296, 0.07710750562061246, 0.049471954979774795, 0.329709689556886, 0.09579505180425155, 0.03367666463079915, -0.2562725189193038, 0.061821855279064274, -0.0067842079523375365] |
1,803.01677 | Media Education as Theoretical and Practical Paradigm for Digital
Literacy: An Interdisciplinary Analysis | In this article we offer an analysis of the practical and theoretical
paradigm of media education as a fundamental pedagogical model for the adequate
development of the current methods of digital literacy. In a society dominated
by the flow of information and communicative processes - in which
digitalization has led to techno-media convergence, the complete uniting of ICT
novelties and traditional media - it is essential to use all the vast
experience of basic principles, pedagogical theories and practice which this
educational paradigm has offered during decades. The current techno-media
society is not an altruistic system; the communicative processes continue to be
dominated by economic, political and social elites whose main interest is to
influence and control the population. In this context -conceiving education as
the only way to achieve the full and democratic development of our society, for
its growth in values and solidarity - an analysis of reality starting in school
is essential by forming a citizenship conscious of the power and influence of
the ICT and its true meaning in the world. An authentic digital literacy should
include the correct understanding of the new techno-media languages, and cannot
simply be reduced to a formation of a technical and instrumental kind.
| physics.ed-ph cs.CY | in this article we offer an analysis of the practical and theoretical paradigm of media education as a fundamental pedagogical model for the adequate development of the current methods of digital literacy in a society dominated by the flow of information and communicative processes in which digitalization has led to technomedia convergence the complete uniting of ict novelties and traditional media it is essential to use all the vast experience of basic principles pedagogical theories and practice which this educational paradigm has offered during decades the current technomedia society is not an altruistic system the communicative processes continue to be dominated by economic political and social elites whose main interest is to influence and control the population in this context conceiving education as the only way to achieve the full and democratic development of our society for its growth in values and solidarity an analysis of reality starting in school is essential by forming a citizenship conscious of the power and influence of the ict and its true meaning in the world an authentic digital literacy should include the correct understanding of the new technomedia languages and cannot simply be reduced to a formation of a technical and instrumental kind | [['in', 'this', 'article', 'we', 'offer', 'an', 'analysis', 'of', 'the', 'practical', 'and', 'theoretical', 'paradigm', 'of', 'media', 'education', 'as', 'a', 'fundamental', 'pedagogical', 'model', 'for', 'the', 'adequate', 'development', 'of', 'the', 'current', 'methods', 'of', 'digital', 'literacy', 'in', 'a', 'society', 'dominated', 'by', 'the', 'flow', 'of', 'information', 'and', 'communicative', 'processes', 'in', 'which', 'digitalization', 'has', 'led', 'to', 'technomedia', 'convergence', 'the', 'complete', 'uniting', 'of', 'ict', 'novelties', 'and', 'traditional', 'media', 'it', 'is', 'essential', 'to', 'use', 'all', 'the', 'vast', 'experience', 'of', 'basic', 'principles', 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1,803.01678 | A primer to numerical simulations: The perihelion motion of Mercury | Numerical simulations are playing an increasingly important role in modern
science. In this work it is suggested to use a numerical study of the famous
perihelion motion of the planet Mercury (one of the prime observables
supporting Einsteins General Relativity) as a test case to teach numerical
simulations to high school students. The paper includes details about the
development of the code as well as a discussion of the visualization of the
results. In addition a method is discussed that allows one to estimate the size
of the effect as well as the uncertainty of the approach a priori. At the same
time this enables the students to double check the results found numerically.
The course is structured into a basic block and two further refinements which
aim at more advanced students.
| physics.ed-ph | numerical simulations are playing an increasingly important role in modern science in this work it is suggested to use a numerical study of the famous perihelion motion of the planet mercury one of the prime observables supporting einsteins general relativity as a test case to teach numerical simulations to high school students the paper includes details about the development of the code as well as a discussion of the visualization of the results in addition a method is discussed that allows one to estimate the size of the effect as well as the uncertainty of the approach a priori at the same time this enables the students to double check the results found numerically the course is structured into a basic block and two further refinements which aim at more advanced students | [['numerical', 'simulations', 'are', 'playing', 'an', 'increasingly', 'important', 'role', 'in', 'modern', 'science', 'in', 'this', 'work', 'it', 'is', 'suggested', 'to', 'use', 'a', 'numerical', 'study', 'of', 'the', 'famous', 'perihelion', 'motion', 'of', 'the', 'planet', 'mercury', 'one', 'of', 'the', 'prime', 'observables', 'supporting', 'einsteins', 'general', 'relativity', 'as', 'a', 'test', 'case', 'to', 'teach', 'numerical', 'simulations', 'to', 'high', 'school', 'students', 'the', 'paper', 'includes', 'details', 'about', 'the', 'development', 'of', 'the', 'code', 'as', 'well', 'as', 'a', 'discussion', 'of', 'the', 'visualization', 'of', 'the', 'results', 'in', 'addition', 'a', 'method', 'is', 'discussed', 'that', 'allows', 'one', 'to', 'estimate', 'the', 'size', 'of', 'the', 'effect', 'as', 'well', 'as', 'the', 'uncertainty', 'of', 'the', 'approach', 'a', 'priori', 'at', 'the', 'same', 'time', 'this', 'enables', 'the', 'students', 'to', 'double', 'check', 'the', 'results', 'found', 'numerically', 'the', 'course', 'is', 'structured', 'into', 'a', 'basic', 'block', 'and', 'two', 'further', 'refinements', 'which', 'aim', 'at', 'more', 'advanced', 'students']] | [-0.05776473742496984, 0.06089992734886244, -0.10868102380526111, 0.10244403522599234, -0.10988913558487018, -0.10381557330423896, 0.003269794528464307, 0.31462407894926425, -0.2298616568423864, -0.35767561150714755, 0.11801551066596541, -0.2454359831067312, -0.16719347716063954, 0.2446101265121604, -0.06062379655795115, 0.05574436208663621, 0.07950620646641421, 0.0632021778728813, -0.06026166518638616, -0.27035967934044136, 0.28975690712016355, 0.16425245672915922, 0.22308556814536903, 0.042715278612873095, 0.06708609004338294, 0.01185502728207432, -0.05672268527489381, 0.001029932381105468, -0.12336469481190514, 0.11594485104874228, 0.289297147907994, 0.12960995565112116, 0.3553087825915127, -0.4189886308105832, -0.1777957511614218, -0.001991937282692754, 0.11659949110815598, 0.1437487208747894, -0.05961992731902159, -0.2513377135407857, 0.060143630732923295, -0.1732377034654333, -0.186736448660888, -0.055779280656045586, 0.006103248880897423, -0.006303281086102839, -0.24276653904411377, 0.00832775425321112, 0.0757363436154485, 0.06892557817539482, -0.02891002304959605, -0.11842925716932355, 0.01847048916952741, 0.17285260010799958, 0.08612235498113671, 0.024243308973823194, 0.105658358633236, -0.1150534915011094, -0.13388515377918145, 0.4401028524858482, -0.01853617792243533, -0.16128738744142043, 0.20163671059223512, -0.14396115663023948, -0.1378183071113502, 0.060922001432063, 0.19221287143459034, 0.1342281938302745, -0.12940673245060624, 0.0291905087153392, -0.03599374424525057, 0.16847533693142008, 0.041275463846625025, -0.019813874557836574, 0.223900942117766, 0.19323433934936696, 0.018534027152892315, 0.12159343463523935, -0.06968973126354147, -0.11502521110444584, -0.3321931819911256, -0.21045464692129331, -0.15842117020634539, 0.024740619958858148, -0.06524667167093756, -0.13151484828796872, 0.3931899024244172, 0.17851650798128862, 0.13138652033398324, 0.02014871710068264, 0.31441264380841993, 0.06560002623706224, 0.050030762858858165, 0.041870805586575334, 0.23668484451164576, 0.14303651522972027, 0.13528473820593773, -0.2018307081836445, 0.06293853084119319, 0.03266912967382902] |
1,803.01679 | Non-forking w-good frames | We introduce the notion of a w-good $\lambda$-frame which is a weakening of
Shelah's notion of a good $\lambda$-frame. Existence of a w-good
$\lambda$-frame implies existence of a model of size $\lambda^{++}$. Tameness
and amalgamation imply extension of a w-good $\lambda$-frame to larger models.
As an application we show:
$\textbf{Theorem}$ Suppose $2^{\lambda}< 2^{\lambda^{+}} < 2^{\lambda^{++}}$
and $2^{\lambda^{+}} > \lambda^{++}$. If $I(K, \lambda) = I(K, \lambda^{+}) = 1
\leq I(K, \lambda^{++}) < 2^{\lambda^{++}}$ and $K$ is $(\lambda,
\lambda^+)$-tame, then $K_{\lambda^{+++}} \neq \emptyset$.
The proof presented clarifies some of the details of the main theorem of
[Sh576] and avoids using the heavy set-theoretic machinery of [Sh: h \S VII] by
replacing it with tameness.
| math.LO | we introduce the notion of a wgood lambdaframe which is a weakening of shelahs notion of a good lambdaframe existence of a wgood lambdaframe implies existence of a model of size lambda tameness and amalgamation imply extension of a wgood lambdaframe to larger models as an application we show textbftheorem suppose 2lambda 2lambda 2lambda and 2lambda lambda if ik lambda ik lambda 1 leq ik lambda 2lambda and k is lambda lambdatame then k_lambda neq emptyset the proof presented clarifies some of the details of the main theorem of sh576 and avoids using the heavy settheoretic machinery of sh h s vii by replacing it with tameness | [['we', 'introduce', 'the', 'notion', 'of', 'a', 'wgood', 'lambdaframe', 'which', 'is', 'a', 'weakening', 'of', 'shelahs', 'notion', 'of', 'a', 'good', 'lambdaframe', 'existence', 'of', 'a', 'wgood', 'lambdaframe', 'implies', 'existence', 'of', 'a', 'model', 'of', 'size', 'lambda', 'tameness', 'and', 'amalgamation', 'imply', 'extension', 'of', 'a', 'wgood', 'lambdaframe', 'to', 'larger', 'models', 'as', 'an', 'application', 'we', 'show', 'textbftheorem', 'suppose', '2lambda', '2lambda', '2lambda', 'and', '2lambda', 'lambda', 'if', 'ik', 'lambda', 'ik', 'lambda', '1', 'leq', 'ik', 'lambda', '2lambda', 'and', 'k', 'is', 'lambda', 'lambdatame', 'then', 'k_lambda', 'neq', 'emptyset', 'the', 'proof', 'presented', 'clarifies', 'some', 'of', 'the', 'details', 'of', 'the', 'main', 'theorem', 'of', 'sh576', 'and', 'avoids', 'using', 'the', 'heavy', 'settheoretic', 'machinery', 'of', 'sh', 'h', 's', 'vii', 'by', 'replacing', 'it', 'with', 'tameness']] | [-0.16462193503754124, 0.11331703787616876, -0.08597857025230214, 0.058209029374466766, -0.09651375108487195, -0.18416357707132452, 0.0006663731521084196, 0.31224667713755655, -0.30402963920718146, -0.18183147814124823, 0.03812857716388646, -0.2736587518582209, -0.040568435402764454, 0.09886872208943324, -0.07707117414323701, -0.06766867960049283, 0.03684259600759972, 0.06673628557916908, 0.023939560548890206, -0.1684719093920042, 0.351360761939681, -0.042041902004608084, 0.12700785864144565, 0.08601496358446423, 0.10015485719999387, -0.017051454755433258, 0.0002453040533943013, 0.02208295822853134, -0.26740155620943934, 0.08969585421339919, 0.1791777129123234, 0.1820929345164803, 0.28784711973830346, -0.2802004954910704, -0.12630063668780384, 0.18192622586641283, 0.09365775837075142, -0.023746142692730895, 0.03152527934206384, -0.21326650632767097, 0.19251171116318022, -0.1592823248888765, -0.18741863696126357, -0.01582895095149676, 0.1440135756064029, 0.01781450152764245, -0.32012173362253676, 0.018870284281937138, 0.2324495978476036, 0.11919865035230205, -0.02393519597660218, -0.183141848977123, -0.05679374505388772, -0.034242076102998995, -0.0035761015456435936, 0.05146354441309259, 0.03315233685564072, -0.11520141630123058, -0.05288155151176311, 0.367683996402082, -0.113696571732206, -0.11671944120455356, 0.1311107659091552, -0.1134500692687219, -0.1980176467271078, 0.09271376969381458, -0.054041941588123636, 0.14226914206519722, -0.013900193341431163, 0.2681170766397069, -0.16103334014769644, 0.21351946294751195, 0.1297581713824045, 0.06557322651025883, 0.09415503925022979, 0.13868846809935, 0.042269539897374454, 0.11783868858224845, -0.004620089630285899, 0.030915063034210887, -0.40953901946722043, -0.18538240055952754, -0.10875605057392801, 0.17506336457583876, -0.13270987038933008, -0.1617804475001148, 0.25326508773224693, 0.12396103309999619, 0.18693731786638854, 0.12423776989647498, 0.17637742803919884, 0.0520112314383455, 0.04401982410234355, 0.05467771574233969, 0.10069093195239215, 0.21565483216240647, 0.003554664286119597, -0.15925754900423011, 0.018833480145604837, 0.12185429221107846] |
1,803.0168 | Learning Historical and Chronological Time: Practical Applications | In the present article the necessity of introducing the teaching of time from
the first educative stages is defended through a didactic process in which a
feedback is produced between its chronological dimension (perception and
measuring of physical time) and the historical (knowledge of time in the
history of humanity). It has as its fundamental objectives the offering of
pedagogical strategies which will contribute to the development of this
competence in children, forming the basis of their future education as well as
revising the classic educative theories about the learning of time. In
particular, in relation to historical time where the employment of hyper-media
timelines and the most original technology of improved virtual reality and 3D
systems can contribute to an approach being given to their introduction for
comprehension at an earlier age. Concurrently, the correct integration of those
novel tools and telematic and computational systems in education, especially
from the humanistic and analytical viewpoint, will permit the adoption of
critical attitudes in the school with regard to the fictitious and virtual
reality produced. It will contribute, in this manner, to facilitating a better
comprehension of the modern world and the presence and functions that these
play in society, in a constructivist context of the development of knowledge,
science and culture.
| physics.ed-ph physics.hist-ph | in the present article the necessity of introducing the teaching of time from the first educative stages is defended through a didactic process in which a feedback is produced between its chronological dimension perception and measuring of physical time and the historical knowledge of time in the history of humanity it has as its fundamental objectives the offering of pedagogical strategies which will contribute to the development of this competence in children forming the basis of their future education as well as revising the classic educative theories about the learning of time in particular in relation to historical time where the employment of hypermedia timelines and the most original technology of improved virtual reality and 3d systems can contribute to an approach being given to their introduction for comprehension at an earlier age concurrently the correct integration of those novel tools and telematic and computational systems in education especially from the humanistic and analytical viewpoint will permit the adoption of critical attitudes in the school with regard to the fictitious and virtual reality produced it will contribute in this manner to facilitating a better comprehension of the modern world and the presence and functions that these play in society in a constructivist context of the development of knowledge science and culture | [['in', 'the', 'present', 'article', 'the', 'necessity', 'of', 'introducing', 'the', 'teaching', 'of', 'time', 'from', 'the', 'first', 'educative', 'stages', 'is', 'defended', 'through', 'a', 'didactic', 'process', 'in', 'which', 'a', 'feedback', 'is', 'produced', 'between', 'its', 'chronological', 'dimension', 'perception', 'and', 'measuring', 'of', 'physical', 'time', 'and', 'the', 'historical', 'knowledge', 'of', 'time', 'in', 'the', 'history', 'of', 'humanity', 'it', 'has', 'as', 'its', 'fundamental', 'objectives', 'the', 'offering', 'of', 'pedagogical', 'strategies', 'which', 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1,803.01681 | The Fourth Double-Layer Potential for a Generalized Bi-Axially Symmetric
Helmholtz Equation | The double-layer potential plays an important role in solving boundary value
problems for elliptic equations, and in the study of which for a certain
equation, the properties of the fundamental solutions of the given equation are
used. All the fundamental solutions of the generalized bi-axially symmetric
Helmholts equation were known, and only for the first one was constructed the
theory of potential. Here, in this paper, we aim at constructing theory of
double-layer potentials corresponding to the fourth fundamental solution.
| math.AP | the doublelayer potential plays an important role in solving boundary value problems for elliptic equations and in the study of which for a certain equation the properties of the fundamental solutions of the given equation are used all the fundamental solutions of the generalized biaxially symmetric helmholts equation were known and only for the first one was constructed the theory of potential here in this paper we aim at constructing theory of doublelayer potentials corresponding to the fourth fundamental solution | [['the', 'doublelayer', 'potential', 'plays', 'an', 'important', 'role', 'in', 'solving', 'boundary', 'value', 'problems', 'for', 'elliptic', 'equations', 'and', 'in', 'the', 'study', 'of', 'which', 'for', 'a', 'certain', 'equation', 'the', 'properties', 'of', 'the', 'fundamental', 'solutions', 'of', 'the', 'given', 'equation', 'are', 'used', 'all', 'the', 'fundamental', 'solutions', 'of', 'the', 'generalized', 'biaxially', 'symmetric', 'helmholts', 'equation', 'were', 'known', 'and', 'only', 'for', 'the', 'first', 'one', 'was', 'constructed', 'the', 'theory', 'of', 'potential', 'here', 'in', 'this', 'paper', 'we', 'aim', 'at', 'constructing', 'theory', 'of', 'doublelayer', 'potentials', 'corresponding', 'to', 'the', 'fourth', 'fundamental', 'solution']] | [-0.12191594504055721, 0.03641475226654217, -0.07002455521893652, 0.03333910104753803, -0.05220089232714116, -0.10546430233347265, -0.04013439998932513, 0.26151466080801017, -0.2847289310744669, -0.2748530407589448, 0.12143213802482933, -0.28809188840368505, -0.20025155646137044, 0.2058184468482114, -0.010093773284903433, 0.12099024225497924, -0.00023215374308107773, 0.06440619914497756, -0.08254475747765619, -0.22290592809219525, 0.4052993917036094, -0.008709014589379577, 0.2544087053488798, 0.08515872905337357, 0.1202264732881626, 0.0008489472579352464, 0.01927992699172678, -0.0038887697295580483, -0.17658459470619128, 0.16103137246203386, 0.23940102296256566, 0.03338391457601816, 0.2832330928856059, -0.4261877890912038, -0.20236416209394795, 0.09674917860693429, 0.12813031734733643, 0.1290241204647206, -0.09764105884381864, -0.21371898378092277, 0.10295880508691638, -0.0972335677641102, -0.24003789654072327, -0.030322533274729606, 0.025858195279017563, 0.04981444712692895, -0.2378576711480376, 0.09809058054668617, 0.051319291296450395, -0.010376280223762122, -0.17815145830729906, -0.11620440849256289, 0.003038066486486151, 0.14384569663295074, 0.022950533521066928, 0.011541008516037954, 0.003430494861795178, -0.1868118551424174, -0.08070707278726977, 0.42198159904042376, -0.04674186261630134, -0.24433960025257703, 0.1254926907323018, -0.09096540498865556, -0.13937923742481803, 0.07198303681503557, 0.17264581570708298, 0.19735007693024376, -0.1911726431520302, 0.12412692016857099, -0.04053898382772798, 0.12842014845596225, 0.0884240202641091, -0.022121898912459234, 0.16664731602738553, 0.15966540131765075, 0.04806578135165044, 0.1266546754720562, -0.011716369807696607, -0.14192300113625353, -0.34820872520485635, -0.17039356769734545, -0.14233333273360482, 0.052534293946279564, -0.09029894675786866, -0.1870696553370998, 0.43035471091589217, 0.12875330792386322, 0.11560842644753336, -0.040300743935830136, 0.2109683421499367, 0.21934534974184028, 0.018792512272543544, 0.03958475890368977, 0.25987101098687587, 0.1960185241378561, 0.09985404133891003, -0.22194494627183303, 0.02283566382041649, 0.13702135976356797] |
1,803.01682 | Beyond Greedy Ranking: Slate Optimization via List-CVAE | The conventional solution to the recommendation problem greedily ranks
individual document candidates by prediction scores. However, this method fails
to optimize the slate as a whole, and hence, often struggles to capture biases
caused by the page layout and document interdepedencies. The slate
recommendation problem aims to directly find the optimally ordered subset of
documents (i.e. slates) that best serve users' interests. Solving this problem
is hard due to the combinatorial explosion in all combinations of document
candidates and their display positions on the page. Therefore we propose a
paradigm shift from the traditional viewpoint of solving a ranking problem to a
direct slate generation framework. In this paper, we introduce List Conditional
Variational Auto-Encoders (List-CVAE), which learns the joint distribution of
documents on the slate conditioned on user responses, and directly generates
full slates. Experiments on simulated and real-world data show that List-CVAE
outperforms popular comparable ranking methods consistently on various scales
of documents corpora.
| stat.ML cs.LG | the conventional solution to the recommendation problem greedily ranks individual document candidates by prediction scores however this method fails to optimize the slate as a whole and hence often struggles to capture biases caused by the page layout and document interdepedencies the slate recommendation problem aims to directly find the optimally ordered subset of documents ie slates that best serve users interests solving this problem is hard due to the combinatorial explosion in all combinations of document candidates and their display positions on the page therefore we propose a paradigm shift from the traditional viewpoint of solving a ranking problem to a direct slate generation framework in this paper we introduce list conditional variational autoencoders listcvae which learns the joint distribution of documents on the slate conditioned on user responses and directly generates full slates experiments on simulated and realworld data show that listcvae outperforms popular comparable ranking methods consistently on various scales of documents corpora | [['the', 'conventional', 'solution', 'to', 'the', 'recommendation', 'problem', 'greedily', 'ranks', 'individual', 'document', 'candidates', 'by', 'prediction', 'scores', 'however', 'this', 'method', 'fails', 'to', 'optimize', 'the', 'slate', 'as', 'a', 'whole', 'and', 'hence', 'often', 'struggles', 'to', 'capture', 'biases', 'caused', 'by', 'the', 'page', 'layout', 'and', 'document', 'interdepedencies', 'the', 'slate', 'recommendation', 'problem', 'aims', 'to', 'directly', 'find', 'the', 'optimally', 'ordered', 'subset', 'of', 'documents', 'ie', 'slates', 'that', 'best', 'serve', 'users', 'interests', 'solving', 'this', 'problem', 'is', 'hard', 'due', 'to', 'the', 'combinatorial', 'explosion', 'in', 'all', 'combinations', 'of', 'document', 'candidates', 'and', 'their', 'display', 'positions', 'on', 'the', 'page', 'therefore', 'we', 'propose', 'a', 'paradigm', 'shift', 'from', 'the', 'traditional', 'viewpoint', 'of', 'solving', 'a', 'ranking', 'problem', 'to', 'a', 'direct', 'slate', 'generation', 'framework', 'in', 'this', 'paper', 'we', 'introduce', 'list', 'conditional', 'variational', 'autoencoders', 'listcvae', 'which', 'learns', 'the', 'joint', 'distribution', 'of', 'documents', 'on', 'the', 'slate', 'conditioned', 'on', 'user', 'responses', 'and', 'directly', 'generates', 'full', 'slates', 'experiments', 'on', 'simulated', 'and', 'realworld', 'data', 'show', 'that', 'listcvae', 'outperforms', 'popular', 'comparable', 'ranking', 'methods', 'consistently', 'on', 'various', 'scales', 'of', 'documents', 'corpora']] | [-0.033103800451784744, -0.012030218853432612, -0.04679275004899287, 0.10750231747074186, -0.1949051640885182, -0.13786619559867808, 0.11289562851729273, 0.4164623297823995, -0.3016797269704399, -0.36622079193981644, 0.04530117462778744, -0.32947740201333087, -0.14825288152316085, 0.15443556141519152, -0.1052439726807909, 0.054741318037830826, 0.11455458735254308, 0.05458877638006717, -0.06941816507563037, -0.30355178220410606, 0.32590554533769783, 0.06765370150674986, 0.37085528665045703, 0.01212230978801457, 0.11679841879107745, 0.019408207213250445, -0.07671301754943272, 0.011650015228714039, -0.07188210493226435, 0.15757764460902443, 0.3486217116827474, 0.22958756479879025, 0.3119398464442663, -0.35927620613521416, -0.16192980995553918, 0.08488337454702584, 0.13026143424973818, 0.10255312534989607, -0.0244962821168265, -0.3292003445223802, 0.08908570884860857, -0.16654635213461577, 0.03169630115450013, -0.08800839471137699, -0.023696958723484107, 0.0038905935004365697, -0.27675728051424076, 0.03548004367279217, 0.05009839794099379, -0.009093922590289046, -0.057898189014225616, -0.12979648489310266, 0.04276469961764425, 0.14916105086921283, 0.06118432324824039, 0.025581143292738428, 0.13373219517129625, -0.13439517359103204, -0.16707083584247706, 0.43854348476537885, -0.017999394766353313, -0.20319735148641604, 0.15571123283064248, -0.01848524500877639, -0.13949533666672756, 0.10133325473521075, 0.2259586123700917, 0.1375171387331481, -0.17373195061691446, -0.0036891705095554927, -0.07502797390851709, 0.19220561932793703, 0.040786359055893, -0.011278223085028478, 0.2248127912019008, 0.19148649753138325, 0.058275162753667314, 0.13058364583982848, -0.07688640884513315, -0.06843767451804156, -0.18828279620608668, -0.09311172760584775, -0.21164923128778468, -0.025023758590976202, -0.07832489857989214, -0.19004199713212894, 0.4138009542008874, 0.24337695615086097, 0.20585580044760812, 0.08574229838201788, 0.3166442915821582, 0.032311297008871205, 0.07380432761548196, 0.07340681013876414, 0.10175862952798995, -0.024578398828595586, 0.1446381333296254, -0.16533743503375672, 0.14055771902020947, 0.07424237111315521] |
1,803.01683 | Investigating the Evolvability of Web Page Load Time | Client-side Javascript execution environments (browsers) allow anonymous
functions and event-based programming concepts such as callbacks. We
investigate whether a mutate-and-test approach can be used to optimise web page
load time in these environments. First, we characterise a web page load issue
in a benchmark web page and derive performance metrics from page load event
traces. We parse Javascript source code to an AST and make changes to method
calls which appear in a web page load event trace. We present an operator based
solely on code deletion and evaluate an existing "community-contributed"
performance optimising code transform. By exploring Javascript code changes and
exploiting combinations of non-destructive changes, we can optimise page load
time by 41% in our benchmark web page.
| cs.SE cs.NE | clientside javascript execution environments browsers allow anonymous functions and eventbased programming concepts such as callbacks we investigate whether a mutateandtest approach can be used to optimise web page load time in these environments first we characterise a web page load issue in a benchmark web page and derive performance metrics from page load event traces we parse javascript source code to an ast and make changes to method calls which appear in a web page load event trace we present an operator based solely on code deletion and evaluate an existing communitycontributed performance optimising code transform by exploring javascript code changes and exploiting combinations of nondestructive changes we can optimise page load time by 41 in our benchmark web page | [['clientside', 'javascript', 'execution', 'environments', 'browsers', 'allow', 'anonymous', 'functions', 'and', 'eventbased', 'programming', 'concepts', 'such', 'as', 'callbacks', 'we', 'investigate', 'whether', 'a', 'mutateandtest', 'approach', 'can', 'be', 'used', 'to', 'optimise', 'web', 'page', 'load', 'time', 'in', 'these', 'environments', 'first', 'we', 'characterise', 'a', 'web', 'page', 'load', 'issue', 'in', 'a', 'benchmark', 'web', 'page', 'and', 'derive', 'performance', 'metrics', 'from', 'page', 'load', 'event', 'traces', 'we', 'parse', 'javascript', 'source', 'code', 'to', 'an', 'ast', 'and', 'make', 'changes', 'to', 'method', 'calls', 'which', 'appear', 'in', 'a', 'web', 'page', 'load', 'event', 'trace', 'we', 'present', 'an', 'operator', 'based', 'solely', 'on', 'code', 'deletion', 'and', 'evaluate', 'an', 'existing', 'communitycontributed', 'performance', 'optimising', 'code', 'transform', 'by', 'exploring', 'javascript', 'code', 'changes', 'and', 'exploiting', 'combinations', 'of', 'nondestructive', 'changes', 'we', 'can', 'optimise', 'page', 'load', 'time', 'by', '41', 'in', 'our', 'benchmark', 'web', 'page']] | [-0.13105335109472527, -0.057932135002451784, -0.05247261186260572, 0.10082208817840506, -0.15304781749086865, -0.1810933468918616, 0.12632851452977098, 0.45003224582553414, -0.2875120778848275, -0.39522856781732735, 0.10993756828987497, -0.2769113947495313, -0.10339904980639279, 0.21867873709277896, -0.12895412199688538, 0.07665064709134779, 0.10183221593072986, -0.004228106693964515, -0.05151056607206494, -0.3217955367655446, 0.28499672561883926, 0.12496015672587742, 0.3060526819801021, 0.09011676576051672, 0.03877566608410897, 0.0009667079548461963, -0.13375915227442095, -0.0268520020990301, -0.08872197696670764, 0.05502660851722131, 0.352691016933423, 0.31023476257430926, 0.21507288027807311, -0.444488274564935, -0.12259325715594814, 0.04027696655494934, 0.12051148418242395, 0.09197495799532389, -0.024272630694598528, -0.3012495993368201, 0.11039230619730839, -0.2603797954586098, 0.0031008914555028335, -0.0866319114594894, 0.023926265239794502, 0.03962805395614419, -0.220146104780231, -0.07719674573863967, -0.010814201020659343, 0.08030777568218567, -0.006083467112996189, -0.004959222393986469, 0.00623338777074685, 0.18457506038643168, 0.007854156913354173, 0.04048681024746117, 0.2734682034697163, -0.08874820072051696, -0.20179258440068717, 0.38364929494732136, -0.0680071594671078, -0.1700678757486581, 0.15292442613083995, 0.05293860591127206, -0.1609128733793021, 0.06034705752775199, 0.28285137226142115, 0.13133769088732553, -0.22280631627950628, 0.06473672614675567, 0.030374823586020807, 0.26126467824866206, 0.12070383635049654, -0.02348542492935371, 0.19220980210624383, 0.16667407307521268, 0.02939125040735481, 0.19645769538069777, -0.03124824605716424, -0.04564912772887402, -0.22821330902624434, -0.21458430027084077, -0.15327972522542133, 0.016274740376857, -0.13397969969612905, -0.20385116186797997, 0.38720415115072315, 0.23903399248118118, 0.10950946306288874, 0.06641743996010904, 0.3409259020335088, 0.001772690656145056, 0.12319847292629844, 0.21854676598667214, 0.027909540050363137, -0.09872618418036944, 0.2223363912751172, -0.14635617178430685, 0.136108783282383, 0.0855189338296857] |
1,803.01684 | Axial anomaly in multi-Weyl and triple-point semimetals | We derive the expression of the abelian axial anomaly in the so-called
multi-Weyl and triple-point crossing semimetals. No simplifying restrictions
are assumed on the symmetry of the spectrum. Three different computation
methods are considered: the perturbative quantum field theory procedure which
is based on the evaluation of the one-loop Feynman diagrams, the
Nielsen-Ninomiya method, and the Atiyah-Singer index argument. It is shown that
the functional form of the axial anomaly does not depend on the Lorentz
symmetry, but it is determined by the gauge structure group. We discuss the
stability of the anomaly - stemming from the quantisation of the anomaly
coefficient - under smooth modifications of the lagrangian parameters.
| cond-mat.str-el cond-mat.mes-hall cond-mat.quant-gas hep-th quant-ph | we derive the expression of the abelian axial anomaly in the socalled multiweyl and triplepoint crossing semimetals no simplifying restrictions are assumed on the symmetry of the spectrum three different computation methods are considered the perturbative quantum field theory procedure which is based on the evaluation of the oneloop feynman diagrams the nielsenninomiya method and the atiyahsinger index argument it is shown that the functional form of the axial anomaly does not depend on the lorentz symmetry but it is determined by the gauge structure group we discuss the stability of the anomaly stemming from the quantisation of the anomaly coefficient under smooth modifications of the lagrangian parameters | [['we', 'derive', 'the', 'expression', 'of', 'the', 'abelian', 'axial', 'anomaly', 'in', 'the', 'socalled', 'multiweyl', 'and', 'triplepoint', 'crossing', 'semimetals', 'no', 'simplifying', 'restrictions', 'are', 'assumed', 'on', 'the', 'symmetry', 'of', 'the', 'spectrum', 'three', 'different', 'computation', 'methods', 'are', 'considered', 'the', 'perturbative', 'quantum', 'field', 'theory', 'procedure', 'which', 'is', 'based', 'on', 'the', 'evaluation', 'of', 'the', 'oneloop', 'feynman', 'diagrams', 'the', 'nielsenninomiya', 'method', 'and', 'the', 'atiyahsinger', 'index', 'argument', 'it', 'is', 'shown', 'that', 'the', 'functional', 'form', 'of', 'the', 'axial', 'anomaly', 'does', 'not', 'depend', 'on', 'the', 'lorentz', 'symmetry', 'but', 'it', 'is', 'determined', 'by', 'the', 'gauge', 'structure', 'group', 'we', 'discuss', 'the', 'stability', 'of', 'the', 'anomaly', 'stemming', 'from', 'the', 'quantisation', 'of', 'the', 'anomaly', 'coefficient', 'under', 'smooth', 'modifications', 'of', 'the', 'lagrangian', 'parameters']] | [-0.20169074780036075, 0.12042012730509871, -0.12386625682443587, 0.09002455410060335, -0.11999436188489199, -0.11077352174281797, 0.03196589458255201, 0.32744230309482963, -0.2080287966355509, -0.2910842712175239, 0.09687442578164067, -0.2366919741983077, -0.19649051856766972, 0.1467709556691935, -0.01770669511164737, 0.0410411129878075, -0.019233979562866606, 0.1021087798031254, -0.12775074200342512, -0.21261443065574254, 0.36262022061445925, 0.007993575303030579, 0.3387620477695708, 0.1136702340181391, 0.08774800070009574, 0.018700928345357103, -0.05623470009865101, -0.0002203397840882341, -0.10796722635354349, 0.10544909914972743, 0.1414899806302317, 0.04139537966154792, 0.1242152481982312, -0.3980216953765463, -0.20728139706059462, 0.06544533942791599, 0.09644669827711941, 0.11567898272618617, -0.013987091386095725, -0.2911652826544553, 0.07529879381844592, -0.14187043641383448, -0.13523780149828074, -0.09549361760555594, -0.04461848183375507, -0.06973450962040159, -0.22384389103832222, 0.09615065700684984, 0.047865819858594075, 0.08015416007213018, -0.059769717905308224, -0.11649888583579687, -0.045709125805404725, 0.08743739227712569, 0.1328293640032859, -0.010788541325988868, 0.15105464950816153, -0.16322340179855624, -0.11064451566414425, 0.43136735501940604, -0.055879769318616365, -0.2239795023027303, 0.11332388340573137, -0.12913499561276426, -0.1656144519327898, 0.13620719948300608, 0.06673399633210567, 0.12630669932157076, -0.12996550071909074, 0.19055438256731982, -0.04230380907258088, 0.0913937354764332, 0.06391739719806032, -0.009112817783952105, 0.15953357478914162, 0.04789599557234733, 0.040712970413517686, 0.08448095837418267, -0.054758474763258604, -0.1052751589945897, -0.41249921307381654, -0.13714165772587336, -0.1730721974141758, 0.042931015415821026, -0.09885071896213857, -0.19940613455939996, 0.40673865704512635, 0.13078625398446564, 0.158207712092176, 0.011757471026309455, 0.2723040529181836, 0.18611318038138389, 0.14580628506114912, 0.04137047111591393, 0.2654779100169738, 0.17056025537506989, 0.03574262564156756, -0.286672149476578, 0.017824620131351467, 0.1562799932262688] |
1,803.01685 | Prony Scenarios and Error Amplification in a Noisy Spike-Train
Reconstruction | The paper is devoted to the characterization of the geometry of Prony curves
arising from spike-train signals. We give a sufficient condition which
guarantees the blowing up of the amplitudes of a Prony curve S in case where
some of its nodes tend to collide. We also give sufficient conditions on S
which guarantee a certain asymptotic behavior of its nodes near infinity.
| eess.SP | the paper is devoted to the characterization of the geometry of prony curves arising from spiketrain signals we give a sufficient condition which guarantees the blowing up of the amplitudes of a prony curve s in case where some of its nodes tend to collide we also give sufficient conditions on s which guarantee a certain asymptotic behavior of its nodes near infinity | [['the', 'paper', 'is', 'devoted', 'to', 'the', 'characterization', 'of', 'the', 'geometry', 'of', 'prony', 'curves', 'arising', 'from', 'spiketrain', 'signals', 'we', 'give', 'a', 'sufficient', 'condition', 'which', 'guarantees', 'the', 'blowing', 'up', 'of', 'the', 'amplitudes', 'of', 'a', 'prony', 'curve', 's', 'in', 'case', 'where', 'some', 'of', 'its', 'nodes', 'tend', 'to', 'collide', 'we', 'also', 'give', 'sufficient', 'conditions', 'on', 's', 'which', 'guarantee', 'a', 'certain', 'asymptotic', 'behavior', 'of', 'its', 'nodes', 'near', 'infinity']] | [-0.21218261016266687, 0.05265844192001082, -0.14193004188645217, 0.03386680510759886, -0.08291237265063775, -0.14862587161746527, 0.0887448443413993, 0.29804432282726917, -0.2663445204112028, -0.2300210524320839, 0.1390965353339053, -0.2648070459328001, -0.1549694349800813, 0.1801291179976293, -0.09302314030863935, 0.03982901054116646, 0.06347748861160307, 0.1338391290563676, -0.0941625526710783, -0.2848566816084915, 0.3137024646358831, 0.025311581790447235, 0.2210976471163569, 0.053023919817947206, 0.08920770789411599, -0.03695128606041036, 0.014293161213457112, -0.005058771761555579, -0.21074496625020864, 0.09115026863144031, 0.24535963898672472, 0.13516738723283486, 0.22191669584664475, -0.46107847707730437, -0.14022564519906328, 0.19583027200802924, 0.12119364803509107, 0.08237958997709766, 0.00934237492869475, -0.25507865842830924, 0.12410491021231763, -0.09098467768894301, -0.22796522376556244, -0.041763117418639244, -0.000557284772632614, 0.07608792133673671, -0.28187208463038715, 0.009519560376666339, 0.13292802484439953, 0.07337909153411312, -0.0317660953354327, -0.037402531741896554, -0.030882711108360026, 0.10547596257593897, 0.07988371816463768, -0.03052904744750805, 0.03180184840254249, -0.1191544101410915, -0.02516452551242851, 0.3633532371216764, -0.026534184126094693, -0.1749754977959489, 0.18684113836876812, -0.16112362917157866, -0.09415774128680664, 0.1847867644096296, 0.21831737945063245, 0.1544147827736442, -0.13030674404627274, 0.11411856624874331, -0.027133492671603723, 0.06610802475303884, 0.11693538547981353, 0.048676416824852665, 0.13037383327231047, 0.08149857898908001, 0.11797684243333245, 0.18557745633861197, -0.07044298424651581, -0.021863860048590197, -0.39611255116150934, -0.1286391341626378, -0.13474414383785593, 0.09486509872866529, -0.10778749222675013, -0.17804367450021563, 0.4336655100600587, 0.09403566788468096, 0.27435228264047984, 0.07459963595361582, 0.23716936591598722, 0.11995040410057833, -0.01227280095918104, 0.08227410205152064, 0.18922554643405232, 0.17988196397495884, 0.08380604846521265, -0.1950772156502815, 0.06363298491175685, 0.08367877449500301] |
1,803.01686 | On Extended Long Short-term Memory and Dependent Bidirectional Recurrent
Neural Network | In this work, we first analyze the memory behavior in three recurrent neural
networks (RNN) cells; namely, the simple RNN (SRN), the long short-term memory
(LSTM) and the gated recurrent unit (GRU), where the memory is defined as a
function that maps previous elements in a sequence to the current output. Our
study shows that all three of them suffer rapid memory decay. Then, to
alleviate this effect, we introduce trainable scaling factors that act like an
attention mechanism to adjust memory decay adaptively. The new design is called
the extended LSTM (ELSTM). Finally, to design a system that is robust to
previous erroneous predictions, we propose a dependent bidirectional recurrent
neural network (DBRNN). Extensive experiments are conducted on different
language tasks to demonstrate the superiority of the proposed ELSTM and DBRNN
solutions. The ELTSM has achieved up to 30% increase in the labeled attachment
score (LAS) as compared to LSTM and GRU in the dependency parsing (DP) task.
Our models also outperform other state-of-the-art models such as bi-attention
and convolutional sequence to sequence (convseq2seq) by close to 10% in the
LAS. The code is released as an open source
(https://github.com/yuanhangsu/ELSTM-DBRNN)
| cs.LG cs.CL cs.NE stat.ML | in this work we first analyze the memory behavior in three recurrent neural networks rnn cells namely the simple rnn srn the long shortterm memory lstm and the gated recurrent unit gru where the memory is defined as a function that maps previous elements in a sequence to the current output our study shows that all three of them suffer rapid memory decay then to alleviate this effect we introduce trainable scaling factors that act like an attention mechanism to adjust memory decay adaptively the new design is called the extended lstm elstm finally to design a system that is robust to previous erroneous predictions we propose a dependent bidirectional recurrent neural network dbrnn extensive experiments are conducted on different language tasks to demonstrate the superiority of the proposed elstm and dbrnn solutions the eltsm has achieved up to 30 increase in the labeled attachment score las as compared to lstm and gru in the dependency parsing dp task our models also outperform other stateoftheart models such as biattention and convolutional sequence to sequence convseq2seq by close to 10 in the las the code is released as an open source httpsgithubcomyuanhangsuelstmdbrnn | [['in', 'this', 'work', 'we', 'first', 'analyze', 'the', 'memory', 'behavior', 'in', 'three', 'recurrent', 'neural', 'networks', 'rnn', 'cells', 'namely', 'the', 'simple', 'rnn', 'srn', 'the', 'long', 'shortterm', 'memory', 'lstm', 'and', 'the', 'gated', 'recurrent', 'unit', 'gru', 'where', 'the', 'memory', 'is', 'defined', 'as', 'a', 'function', 'that', 'maps', 'previous', 'elements', 'in', 'a', 'sequence', 'to', 'the', 'current', 'output', 'our', 'study', 'shows', 'that', 'all', 'three', 'of', 'them', 'suffer', 'rapid', 'memory', 'decay', 'then', 'to', 'alleviate', 'this', 'effect', 'we', 'introduce', 'trainable', 'scaling', 'factors', 'that', 'act', 'like', 'an', 'attention', 'mechanism', 'to', 'adjust', 'memory', 'decay', 'adaptively', 'the', 'new', 'design', 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1,803.01687 | ViS-HuD: Using Visual Saliency to Improve Human Detection with
Convolutional Neural Networks | The paper presents a technique to improve human detection in still images
using deep learning. Our novel method, ViS-HuD, computes visual saliency map
from the image. Then the input image is multiplied by the map and product is
fed to the Convolutional Neural Network (CNN) which detects humans in the
image. A visual saliency map is generated using ML-Net and human detection is
carried out using DetectNet. ML-Net is pre-trained on SALICON while, DetectNet
is pre-trained on ImageNet database for visual saliency detection and image
classification respectively. The CNNs of ViS-HuD were trained on two
challenging databases - Penn Fudan and TUD-Brussels Benchmark. Experimental
results demonstrate that the proposed method achieves state-of-the-art
performance on Penn Fudan Dataset with 91.4% human detection accuracy and it
achieves average miss-rate of 53% on the TUDBrussels benchmark.
| cs.CV | the paper presents a technique to improve human detection in still images using deep learning our novel method vishud computes visual saliency map from the image then the input image is multiplied by the map and product is fed to the convolutional neural network cnn which detects humans in the image a visual saliency map is generated using mlnet and human detection is carried out using detectnet mlnet is pretrained on salicon while detectnet is pretrained on imagenet database for visual saliency detection and image classification respectively the cnns of vishud were trained on two challenging databases penn fudan and tudbrussels benchmark experimental results demonstrate that the proposed method achieves stateoftheart performance on penn fudan dataset with 914 human detection accuracy and it achieves average missrate of 53 on the tudbrussels benchmark | [['the', 'paper', 'presents', 'a', 'technique', 'to', 'improve', 'human', 'detection', 'in', 'still', 'images', 'using', 'deep', 'learning', 'our', 'novel', 'method', 'vishud', 'computes', 'visual', 'saliency', 'map', 'from', 'the', 'image', 'then', 'the', 'input', 'image', 'is', 'multiplied', 'by', 'the', 'map', 'and', 'product', 'is', 'fed', 'to', 'the', 'convolutional', 'neural', 'network', 'cnn', 'which', 'detects', 'humans', 'in', 'the', 'image', 'a', 'visual', 'saliency', 'map', 'is', 'generated', 'using', 'mlnet', 'and', 'human', 'detection', 'is', 'carried', 'out', 'using', 'detectnet', 'mlnet', 'is', 'pretrained', 'on', 'salicon', 'while', 'detectnet', 'is', 'pretrained', 'on', 'imagenet', 'database', 'for', 'visual', 'saliency', 'detection', 'and', 'image', 'classification', 'respectively', 'the', 'cnns', 'of', 'vishud', 'were', 'trained', 'on', 'two', 'challenging', 'databases', 'penn', 'fudan', 'and', 'tudbrussels', 'benchmark', 'experimental', 'results', 'demonstrate', 'that', 'the', 'proposed', 'method', 'achieves', 'stateoftheart', 'performance', 'on', 'penn', 'fudan', 'dataset', 'with', '914', 'human', 'detection', 'accuracy', 'and', 'it', 'achieves', 'average', 'missrate', 'of', '53', 'on', 'the', 'tudbrussels', 'benchmark']] | [0.0060299568477469355, -0.09887707735548994, -0.06333037671026621, -0.005345509030184773, -0.0708777826178328, -0.1733253797400714, -0.003391806986507808, 0.48120439038142676, -0.1963271857708577, -0.3622265089259938, 0.06808140636205154, -0.3256001992281093, -0.20515108689965406, 0.25471331959936855, -0.17636445906850717, 0.11441178685559551, 0.22444385680001835, 0.09734387363689814, -0.03962904232366429, -0.3290302695475461, 0.27238476235065756, 0.05579244024675274, 0.3646053446153569, 0.039386555270919964, 0.2105108118803753, -0.10002229770992038, -0.08584444241980885, -0.07367158403314195, -0.019670768347020574, 0.19062400197063378, 0.2846936039471378, 0.23469606790215122, 0.2585337848308705, -0.3231798949716396, -0.17674893091880362, 0.03446154119880047, 0.10863623725495829, 0.05589879886156973, -0.022845589708313057, -0.46541100510850897, 0.13659363491424584, -0.13628339553035276, 0.15878809362021817, -0.15786914464606103, -0.034739157526984865, -0.08858342574189179, -0.2949646742682355, 0.0660515833905963, 0.05163173406392105, 0.1227547041638646, -0.08098832746406352, -0.1228688198914246, -0.017504431520292695, 0.19830563452903383, -0.039514260177045714, 0.14537255977850783, 0.1996314829727996, -0.25542534389641397, -0.12902104156858887, 0.3428673412968484, -0.13021220834276012, -0.19547515675378602, 0.1850236294910225, 0.004087104884431113, -0.144688650424224, 0.11401279664836651, 0.2221865717307195, 0.1248173568859812, -0.11763167009479547, -0.01355231299413397, -0.100953162416758, 0.2381452205554806, 0.09241325727369737, -0.09893445115059961, 0.17017725635547365, 0.3461316531422988, -0.016812736868800582, 0.16629234797369993, -0.2636156457696514, -0.019174125235051263, -0.13456335660185695, -0.06324972098967595, -0.22427868450334829, -0.045024713735969724, -0.098293022385617, -0.08182510390495087, 0.4206069372305574, 0.2675104578379397, 0.18693960592323958, 0.16208200846246423, 0.3857063017785549, -0.017254426471650774, 0.13138135354027383, 0.08800096638038639, 0.19652191792477586, -0.05340280654197631, 0.09336375766126945, -0.17148438077456093, 0.061396622093567665, 0.12454432984922341] |
1,803.01688 | Estimation in emerging epidemics: biases and remedies | When analysing new emerging infectious disease outbreaks one typically has
observational data over a limited period of time and several parameters to
estimate, such as growth rate, R0, serial or generation interval distribution,
latent and incubation times or case fatality rates. Also parameters describing
the temporal relations between appearance of symptoms, notification, death and
recovery/discharge will be of interest. These parameters form the basis for
predicting the future outbreak, planning preventive measures and monitoring the
progress of the disease. We study the problem of making inference during the
emerging phase of an outbreak and point out potential sources of bias related
to contact tracing, replacing generation times by serial intervals, multiple
potential infectors or truncation effects amplified by exponential growth.
These biases directly affect the estimation of e.g. the generation time
distribution and the case fatality rate, but can then propagate to other
estimates, e.g. of R0 and growth rate. Many of the traditionally used
estimation methods in disease epidemiology may suffer from these biases when
applied to the emerging disease outbreak situation. We show how to avoid these
biases based on proper statistical modelling. We illustrate the theory by
numerical examples and simulations based on the recent 2014-15 Ebola outbreak
to quantify possible estimation biases, which may be up to 20% underestimation
of R0, if the epidemic growth rate is fitted to observed data or, conversely,
up to 62% overestimation of the growth rate if the correct R0 is used in
conjunction with the Euler-Lotka equation.
| stat.AP | when analysing new emerging infectious disease outbreaks one typically has observational data over a limited period of time and several parameters to estimate such as growth rate r0 serial or generation interval distribution latent and incubation times or case fatality rates also parameters describing the temporal relations between appearance of symptoms notification death and recoverydischarge will be of interest these parameters form the basis for predicting the future outbreak planning preventive measures and monitoring the progress of the disease we study the problem of making inference during the emerging phase of an outbreak and point out potential sources of bias related to contact tracing replacing generation times by serial intervals multiple potential infectors or truncation effects amplified by exponential growth these biases directly affect the estimation of eg the generation time distribution and the case fatality rate but can then propagate to other estimates eg of r0 and growth rate many of the traditionally used estimation methods in disease epidemiology may suffer from these biases when applied to the emerging disease outbreak situation we show how to avoid these biases based on proper statistical modelling we illustrate the theory by numerical examples and simulations based on the recent 201415 ebola outbreak to quantify possible estimation biases which may be up to 20 underestimation of r0 if the epidemic growth rate is fitted to observed data or conversely up to 62 overestimation of the growth rate if the correct r0 is used in conjunction with the eulerlotka equation | [['when', 'analysing', 'new', 'emerging', 'infectious', 'disease', 'outbreaks', 'one', 'typically', 'has', 'observational', 'data', 'over', 'a', 'limited', 'period', 'of', 'time', 'and', 'several', 'parameters', 'to', 'estimate', 'such', 'as', 'growth', 'rate', 'r0', 'serial', 'or', 'generation', 'interval', 'distribution', 'latent', 'and', 'incubation', 'times', 'or', 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1,803.01689 | The level of distribution of the Thue--Morse sequence | The level of distribution of a complex valued sequence $b$ measures "how well
$b$ behaves" on arithmetic progressions $nd+a$. Determining whether $\theta$ is
a level of distribution for $b$ involves summing a certain error over $d\leq
D$, where $D$ depends on $\theta$, this error is given by comparing a finite
sum of $b$ along $nd+a$ and the expected value of the sum. We prove that the
Thue--Morse sequence has level of distribution $1$, which is essentially best
possible. More precisely, this sequence gives one of the first nontrivial
examples of a sequence satisfying a Bombieri--Vinogradov type theorem for each
exponent $\theta<1$. In particular, this result improves on the level of
distribution $2/3$ obtained by M\"ullner and the author.
As an application of our method, we show that the subsequence of the
Thue--Morse sequence indexed by $\lfloor n^c\rfloor$, where $1<c<2$, is simply
normal. That is, each of the two symbols appears with asymptotic frequency
$1/2$ in this subsequence. This result improves on the range $1<c<3/2$ obtained
by M\"ullner and the author and closes the gap that appeared when Mauduit and
Rivat proved (in particular) that the Thue--Morse sequence along the squares is
simply normal. In the proofs, we reduce both problems to an estimate of a
certain Gowers uniformity norm of the Thue--Morse sequence similar to that
given by Konieczny (2017).
| math.NT | the level of distribution of a complex valued sequence b measures how well b behaves on arithmetic progressions nda determining whether theta is a level of distribution for b involves summing a certain error over dleq d where d depends on theta this error is given by comparing a finite sum of b along nda and the expected value of the sum we prove that the thuemorse sequence has level of distribution 1 which is essentially best possible more precisely this sequence gives one of the first nontrivial examples of a sequence satisfying a bombierivinogradov type theorem for each exponent theta1 in particular this result improves on the level of distribution 23 obtained by mullner and the author as an application of our method we show that the subsequence of the thuemorse sequence indexed by lfloor ncrfloor where 1c2 is simply normal that is each of the two symbols appears with asymptotic frequency 12 in this subsequence this result improves on the range 1c32 obtained by mullner and the author and closes the gap that appeared when mauduit and rivat proved in particular that the thuemorse sequence along the squares is simply normal in the proofs we reduce both problems to an estimate of a certain gowers uniformity norm of the thuemorse sequence similar to that given by konieczny 2017 | [['the', 'level', 'of', 'distribution', 'of', 'a', 'complex', 'valued', 'sequence', 'b', 'measures', 'how', 'well', 'b', 'behaves', 'on', 'arithmetic', 'progressions', 'nda', 'determining', 'whether', 'theta', 'is', 'a', 'level', 'of', 'distribution', 'for', 'b', 'involves', 'summing', 'a', 'certain', 'error', 'over', 'dleq', 'd', 'where', 'd', 'depends', 'on', 'theta', 'this', 'error', 'is', 'given', 'by', 'comparing', 'a', 'finite', 'sum', 'of', 'b', 'along', 'nda', 'and', 'the', 'expected', 'value', 'of', 'the', 'sum', 'we', 'prove', 'that', 'the', 'thuemorse', 'sequence', 'has', 'level', 'of', 'distribution', '1', 'which', 'is', 'essentially', 'best', 'possible', 'more', 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1,803.0169 | New Ideas for Brain Modelling 5 | This paper describes a process for combining patterns and features, to guide
a search process and make predictions. It is based on the functionality that a
human brain might have, which is a highly distributed network of simple
neuronal components that can apply some level of matching and cross-referencing
over retrieved patterns. The process uses memory in a dynamic way and it is
directed through the pattern matching. The paper firstly describes the
mechanisms for neuronal search, memory and prediction. The paper then presents
a formal language for defining cognitive processes, that is, pattern-based
sequences and transitions. The language can define an outer framework for
concept sets that are linked to perform the cognitive act. The language also
has a mathematical basis, allowing for the rule construction to be consistent.
Now, both static memory and dynamic process hierarchies can be built as tree
structures. The new information can also be used to further integrate the
cognitive model and the ensemble-hierarchy structure becomes an essential part.
A theory about linking can suggest that nodes in different regions link
together when generally they represent the same thing.
| cs.AI | this paper describes a process for combining patterns and features to guide a search process and make predictions it is based on the functionality that a human brain might have which is a highly distributed network of simple neuronal components that can apply some level of matching and crossreferencing over retrieved patterns the process uses memory in a dynamic way and it is directed through the pattern matching the paper firstly describes the mechanisms for neuronal search memory and prediction the paper then presents a formal language for defining cognitive processes that is patternbased sequences and transitions the language can define an outer framework for concept sets that are linked to perform the cognitive act the language also has a mathematical basis allowing for the rule construction to be consistent now both static memory and dynamic process hierarchies can be built as tree structures the new information can also be used to further integrate the cognitive model and the ensemblehierarchy structure becomes an essential part a theory about linking can suggest that nodes in different regions link together when generally they represent the same thing | [['this', 'paper', 'describes', 'a', 'process', 'for', 'combining', 'patterns', 'and', 'features', 'to', 'guide', 'a', 'search', 'process', 'and', 'make', 'predictions', 'it', 'is', 'based', 'on', 'the', 'functionality', 'that', 'a', 'human', 'brain', 'might', 'have', 'which', 'is', 'a', 'highly', 'distributed', 'network', 'of', 'simple', 'neuronal', 'components', 'that', 'can', 'apply', 'some', 'level', 'of', 'matching', 'and', 'crossreferencing', 'over', 'retrieved', 'patterns', 'the', 'process', 'uses', 'memory', 'in', 'a', 'dynamic', 'way', 'and', 'it', 'is', 'directed', 'through', 'the', 'pattern', 'matching', 'the', 'paper', 'firstly', 'describes', 'the', 'mechanisms', 'for', 'neuronal', 'search', 'memory', 'and', 'prediction', 'the', 'paper', 'then', 'presents', 'a', 'formal', 'language', 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1,803.01691 | Theory of magnetoelastic resonance in a mono-axial chiral helimagnet | We study magnetoelastic resonance phenomena in a mono-axial chiral helimagnet
belonging to hexagonal crystal class. By computing the spectrum of coupled
elastic wave and spin wave, it is demonstrated how hybridization occurs
depending on their chirality. Specific features of the magnetoelastic resonance
are discussed for the conical phase and the soliton lattice phase stabilized in
the mono-axial chiral helimagnet. The former phase exhibits appreciable
non-reciprocity of the spectrum, the latter is characterized by a
multi-resonance behavior. We propose that the non-reciprocal spin wave around
the forced-ferromagnetic state has potential capability to convert the linearly
polarized elastic wave to circularly polarized one with the chirality opposite
to the spin wave chirality.
| cond-mat.mtrl-sci cond-mat.str-el | we study magnetoelastic resonance phenomena in a monoaxial chiral helimagnet belonging to hexagonal crystal class by computing the spectrum of coupled elastic wave and spin wave it is demonstrated how hybridization occurs depending on their chirality specific features of the magnetoelastic resonance are discussed for the conical phase and the soliton lattice phase stabilized in the monoaxial chiral helimagnet the former phase exhibits appreciable nonreciprocity of the spectrum the latter is characterized by a multiresonance behavior we propose that the nonreciprocal spin wave around the forcedferromagnetic state has potential capability to convert the linearly polarized elastic wave to circularly polarized one with the chirality opposite to the spin wave chirality | [['we', 'study', 'magnetoelastic', 'resonance', 'phenomena', 'in', 'a', 'monoaxial', 'chiral', 'helimagnet', 'belonging', 'to', 'hexagonal', 'crystal', 'class', 'by', 'computing', 'the', 'spectrum', 'of', 'coupled', 'elastic', 'wave', 'and', 'spin', 'wave', 'it', 'is', 'demonstrated', 'how', 'hybridization', 'occurs', 'depending', 'on', 'their', 'chirality', 'specific', 'features', 'of', 'the', 'magnetoelastic', 'resonance', 'are', 'discussed', 'for', 'the', 'conical', 'phase', 'and', 'the', 'soliton', 'lattice', 'phase', 'stabilized', 'in', 'the', 'monoaxial', 'chiral', 'helimagnet', 'the', 'former', 'phase', 'exhibits', 'appreciable', 'nonreciprocity', 'of', 'the', 'spectrum', 'the', 'latter', 'is', 'characterized', 'by', 'a', 'multiresonance', 'behavior', 'we', 'propose', 'that', 'the', 'nonreciprocal', 'spin', 'wave', 'around', 'the', 'forcedferromagnetic', 'state', 'has', 'potential', 'capability', 'to', 'convert', 'the', 'linearly', 'polarized', 'elastic', 'wave', 'to', 'circularly', 'polarized', 'one', 'with', 'the', 'chirality', 'opposite', 'to', 'the', 'spin', 'wave', 'chirality']] | [-0.25726006555567504, 0.26808763574808836, -0.041526677061316616, -0.0047344262391294635, -0.14422893867221312, -0.10485522449870996, -0.0017029727454545027, 0.4290997227653861, -0.2667615242439126, -0.20511640355935098, 0.023589057510359845, -0.29356673141992695, -0.17832046414836558, 0.12101305443622651, 0.1235295475007744, 0.037600643146748935, -0.07164726077382444, 0.020227545667268813, -0.06263226939476343, -0.10605020737360923, 0.31601208762838207, -0.023103158275912934, 0.34951203528347363, 0.06961550314509131, 0.07195545943163403, 0.02909095999314834, 0.13504220827251945, -0.03694421988527436, -0.11434797252937692, 0.03325474773610541, 0.2386313052933424, -0.0811854434507224, 0.11360640811024729, -0.44658400066231096, -0.22230945424168208, 0.045686268303201556, 0.1275931037236176, 0.18471469417419456, -0.06099608156044002, -0.32288251866783024, 0.021925991554872706, -0.13532451563301162, -0.21417979742272183, -0.10164806192074347, -0.017231978877626973, 0.0002044523604761023, -0.2076653911894478, 0.09707323199462727, 0.0804469440358802, 0.02215959019788088, -0.061041747262581776, -0.07911435207736534, -0.14289483673648412, 0.009034638763020892, 0.0989059375539217, 0.07078576376106283, 0.1106470739639817, -0.13412890229117844, -0.12994544944136377, 0.3928063214166996, -0.0755199122610032, -0.14610045357103194, 0.10907117684517022, -0.19480867976207422, -0.03454035258031698, 0.21369300879444073, 0.17371484936255568, 0.08219617249768808, -0.08526900163029295, 0.04068657282393836, -0.01600739335437805, 0.1741728244259646, 0.09892017092478864, 0.0734930170140306, 0.28200376793366233, 0.19025466914519396, 0.035401792842211253, 0.18019774520274148, -0.13036841307681293, -0.09571853575484673, -0.22085822117301301, -0.10354669483532326, -0.24173288741106286, 0.03278778033497115, -0.030831100412488512, -0.16730388732404883, 0.46883641706284035, 0.08987703693215202, 0.13734243321446105, -0.091944135298286, 0.2407852214923419, 0.1208393045470392, 0.07245322261133803, -0.00733751745535693, 0.33289757517909785, 0.222329155281357, 0.14826518189110752, -0.36417404307402806, 0.0053083424439329075, 0.0017532814665774414] |
1,803.01692 | Charm Program of NA61/SHINE: Motivation and Measurements | Recently, the NA61/SHINE experiment at the CERN SPS has extended its program
on physics of strong interactions by measurements of charm hadron production in
nucleus-nucleus collisions. This charm program is here briefly summarized.
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1,803.01693 | Strain-induced nonlinear spin Hall effect in topological Dirac semimetal | We show that an electric field applied to a strained topological Dirac
semimetal, such as Na3Bi and Cd3As2, induces a spin Hall current that is
quadratic in the electric field. By regarding the strain as an effective "axial
magnetic field" for the Dirac electrons, we investigate the electron and spin
transport semiclassically in terms of the chiral kinetic theory. The nonlinear
spin Hall effect arises as the cross effect between the regular Hall effect
driven by the axial magnetic field and the anomalous Hall effect coming from
the momentum-space topology. It provides an efficient way to generate a fully
spin-polarized and rectified spin current out of an alternating electric field,
which is sufficiently large and can be directly tuned by the gate voltage and
the strain.
| cond-mat.mes-hall | we show that an electric field applied to a strained topological dirac semimetal such as na3bi and cd3as2 induces a spin hall current that is quadratic in the electric field by regarding the strain as an effective axial magnetic field for the dirac electrons we investigate the electron and spin transport semiclassically in terms of the chiral kinetic theory the nonlinear spin hall effect arises as the cross effect between the regular hall effect driven by the axial magnetic field and the anomalous hall effect coming from the momentumspace topology it provides an efficient way to generate a fully spinpolarized and rectified spin current out of an alternating electric field which is sufficiently large and can be directly tuned by the gate voltage and the strain | [['we', 'show', 'that', 'an', 'electric', 'field', 'applied', 'to', 'a', 'strained', 'topological', 'dirac', 'semimetal', 'such', 'as', 'na3bi', 'and', 'cd3as2', 'induces', 'a', 'spin', 'hall', 'current', 'that', 'is', 'quadratic', 'in', 'the', 'electric', 'field', 'by', 'regarding', 'the', 'strain', 'as', 'an', 'effective', 'axial', 'magnetic', 'field', 'for', 'the', 'dirac', 'electrons', 'we', 'investigate', 'the', 'electron', 'and', 'spin', 'transport', 'semiclassically', 'in', 'terms', 'of', 'the', 'chiral', 'kinetic', 'theory', 'the', 'nonlinear', 'spin', 'hall', 'effect', 'arises', 'as', 'the', 'cross', 'effect', 'between', 'the', 'regular', 'hall', 'effect', 'driven', 'by', 'the', 'axial', 'magnetic', 'field', 'and', 'the', 'anomalous', 'hall', 'effect', 'coming', 'from', 'the', 'momentumspace', 'topology', 'it', 'provides', 'an', 'efficient', 'way', 'to', 'generate', 'a', 'fully', 'spinpolarized', 'and', 'rectified', 'spin', 'current', 'out', 'of', 'an', 'alternating', 'electric', 'field', 'which', 'is', 'sufficiently', 'large', 'and', 'can', 'be', 'directly', 'tuned', 'by', 'the', 'gate', 'voltage', 'and', 'the', 'strain']] | [-0.19566772347833547, 0.25079606692648554, -0.03226862970503077, 0.019440757114410637, -0.07774866896770186, -0.11169852984196965, -0.0002357850326151247, 0.3602722615210546, -0.32499960913426346, -0.30447001555114095, -0.011597928020083123, -0.23867294823543894, -0.17894825844892434, 0.22267653052473352, 0.04348635123229571, 0.0023796173507377267, -0.08436780309836779, -0.010458658242391216, -0.08941307272725103, -0.18267721988792932, 0.30168801493247943, 0.015377920899828453, 0.32193455808160326, 0.10562919353556242, 0.1056721839769226, 0.03929393357109456, 0.10594782421350597, 0.12480935705308285, -0.07600270767221763, 0.03147868980794021, 0.1981242232852512, -0.13387051900841354, 0.17255974171446667, -0.49516507238149643, -0.16115158100035928, -0.001631310335286553, 0.10983849324596424, 0.19731906874914698, -0.10974317418027019, -0.31407268110307907, 0.04863554080449311, -0.1821377077398615, -0.11494784185381991, -0.12503891037814024, 0.006391361194093608, -0.05467533291500461, -0.29210117108203354, 0.08930638192811914, 0.06929210079686036, 0.06610451944704566, -0.07395448014953189, -0.10184373076458181, -0.0938934424877285, 0.07295155059199758, 0.08772343171331735, 0.105480859876566, 0.2035872587778916, -0.18834600154364053, -0.17862312098787653, 0.34111123841019375, -0.09731048864445516, -0.18288143813639643, 0.08668498665515688, -0.1871363068228617, -0.0019211539581033682, 0.1288482127563348, 0.1321486483535005, 0.07450868752193711, -0.14048205387024654, 0.12252102501501906, -0.03412876025004874, 0.08709159948667215, 0.0032938863668176862, 0.023315177605827412, 0.33345084600446245, 0.1284341628530196, 0.11224464655646847, 0.14082655904810906, -0.15816787686125036, 0.004969122287418161, -0.24992915149778128, -0.18701601848893223, -0.22500424881997919, 0.15625228796667967, -0.047467262893665714, -0.20391077070593064, 0.4408652074339371, 0.17120949616507877, 0.15094971638320695, -0.08170166177885785, 0.2935239174551079, 0.20220929492608689, 0.08778654333085768, 0.045148287678048724, 0.2669684667480252, 0.22582419769328443, 0.13655304399481605, -0.35091464242173565, 0.004191443224304489, 0.015144007147422858] |
1,803.01694 | Global Robust Practical Output Regulation for Nonlinear Systems in
Output Feedback Form by Output-Based Event-Triggered Control | In this paper, we study the event-triggered global robust practical output
regulation problem for a class of nonlinear systems in output feedback form
with any relative degree. Our approach consists of the following three steps.
First, we design an internal model and an observer to form the so-called
extended augmented system. Second, we convert the original problem into the
event-triggered global robust practical stabilization problem of the extended
augmented system. Third, we design an output-based event-triggered control law
and a Zeno-free output-based event-triggered mechanism to solve the
stabilization problem, which in turn leads to the solvability of the original
problem. Finally, we apply our main result to the tracking problem of the
controlled hyper-chaotic Lorenz systems.
| math.OC | in this paper we study the eventtriggered global robust practical output regulation problem for a class of nonlinear systems in output feedback form with any relative degree our approach consists of the following three steps first we design an internal model and an observer to form the socalled extended augmented system second we convert the original problem into the eventtriggered global robust practical stabilization problem of the extended augmented system third we design an outputbased eventtriggered control law and a zenofree outputbased eventtriggered mechanism to solve the stabilization problem which in turn leads to the solvability of the original problem finally we apply our main result to the tracking problem of the controlled hyperchaotic lorenz systems | [['in', 'this', 'paper', 'we', 'study', 'the', 'eventtriggered', 'global', 'robust', 'practical', 'output', 'regulation', 'problem', 'for', 'a', 'class', 'of', 'nonlinear', 'systems', 'in', 'output', 'feedback', 'form', 'with', 'any', 'relative', 'degree', 'our', 'approach', 'consists', 'of', 'the', 'following', 'three', 'steps', 'first', 'we', 'design', 'an', 'internal', 'model', 'and', 'an', 'observer', 'to', 'form', 'the', 'socalled', 'extended', 'augmented', 'system', 'second', 'we', 'convert', 'the', 'original', 'problem', 'into', 'the', 'eventtriggered', 'global', 'robust', 'practical', 'stabilization', 'problem', 'of', 'the', 'extended', 'augmented', 'system', 'third', 'we', 'design', 'an', 'outputbased', 'eventtriggered', 'control', 'law', 'and', 'a', 'zenofree', 'outputbased', 'eventtriggered', 'mechanism', 'to', 'solve', 'the', 'stabilization', 'problem', 'which', 'in', 'turn', 'leads', 'to', 'the', 'solvability', 'of', 'the', 'original', 'problem', 'finally', 'we', 'apply', 'our', 'main', 'result', 'to', 'the', 'tracking', 'problem', 'of', 'the', 'controlled', 'hyperchaotic', 'lorenz', 'systems']] | [-0.17453607341178276, 0.001985125451781265, -0.05226658957464428, 0.011676967313617533, -0.07641816164109984, -0.15824996965840973, 0.044434516271174854, 0.3109773954874354, -0.35680677782712056, -0.2803399275771567, 0.1200396660183444, -0.1823001768588538, -0.21391463935563887, 0.18072002058937053, -0.13869502587075314, 0.10437325265354894, 0.017853548152147437, -0.006004956709461865, -0.011345203897658864, -0.23383754220538258, 0.3229745864940422, 0.031679683550590136, 0.2644393484445353, -0.030166122917856635, 0.16973957980999016, 0.023099148269654413, 0.03158293383051481, 0.014723813238529617, -0.08513368640179296, 0.1448051783372648, 0.2075551582082849, 0.1383524096635138, 0.3507066573626522, -0.40276306957520286, -0.17698764060784516, 0.13245086076444593, 0.13145583975610547, 0.15600004940241544, -0.05734538440271441, -0.2820320705570088, 0.10794552918202405, -0.18771671460741218, -0.1410457552571235, -0.0431091133505106, -0.038458234642568076, -0.012118799489787212, -0.32882033082945594, 0.020620675990357995, 0.10647609266122564, 0.0016628566021420833, -0.16569601438722797, -0.029431785771960456, 0.034037481519746886, 0.14221959851344984, -0.013766775374373036, -0.010038125900760421, 0.09226628923628094, -0.074707057638142, -0.1497299526296235, 0.3708044249275378, 0.001001244073167668, -0.23251811853320947, 0.14033597327190742, -0.009016112833894018, -0.16348541932630128, 0.10453369496550796, 0.24339433897342855, 0.1307932019913253, -0.1810042159752278, 0.02959630982689399, -0.04195117247531768, 0.2233627114669773, -0.008499573558922214, -0.0021726804913888716, 0.12279795339042, 0.21812079734759052, 0.1656170417233531, 0.22527316976579484, -0.0008958285350296326, -0.15048140280173514, -0.31579674401416863, -0.10931517674932899, -0.10815787367956263, 0.012103411513541279, -0.050764853949407676, -0.13888088174180352, 0.43392555699442864, 0.21307421609727217, 0.15901767383008425, 0.08839981660652295, 0.3471318082000803, 0.16747886283074281, -0.01192639788847561, 0.049320825407731125, 0.2374921901039137, 0.11429021867184803, 0.13551115174777806, -0.2876905155117756, 0.034083739629593386, 0.11810792240731675] |
1,803.01695 | String Attractors: Verification and Optimization | String attractors [STOC 2018] are combinatorial objects recently introduced
to unify all known dictionary compression techniques in a single theory. A set
$\Gamma\subseteq [1..n]$ is a $k$-attractor for a string $S\in[1..\sigma]^n$ if
and only if every distinct substring of $S$ of length at most $k$ has an
occurrence straddling at least one of the positions in $\Gamma$. Finding the
smallest $k$-attractor is NP-hard for $k\geq3$, but polylogarithmic
approximations can be found using reductions from dictionary compressors. It is
easy to reduce the $k$-attractor problem to a set-cover instance where string's
positions are interpreted as sets of substrings. The main result of this paper
is a much more powerful reduction based on the truncated suffix tree. Our new
characterization of the problem leads to more efficient algorithms for string
attractors: we show how to check the validity and minimality of a $k$-attractor
in near-optimal time and how to quickly compute exact and approximate
solutions. For example, we prove that a minimum $3$-attractor can be found in
optimal $O(n)$ time when $\sigma\in O(\sqrt[3+\epsilon]{\log n})$ for any
constant $\epsilon>0$, and $2.45$-approximation can be computed in $O(n)$ time
on general alphabets. To conclude, we introduce and study the complexity of the
closely-related sharp-$k$-attractor problem: to find the smallest set of
positions capturing all distinct substrings of length exactly $k$. We show that
the problem is in P for $k=1,2$ and is NP-complete for constant $k\geq 3$.
| cs.DS | string attractors stoc 2018 are combinatorial objects recently introduced to unify all known dictionary compression techniques in a single theory a set gammasubseteq 1n is a kattractor for a string sin1sigman if and only if every distinct substring of s of length at most k has an occurrence straddling at least one of the positions in gamma finding the smallest kattractor is nphard for kgeq3 but polylogarithmic approximations can be found using reductions from dictionary compressors it is easy to reduce the kattractor problem to a setcover instance where strings positions are interpreted as sets of substrings the main result of this paper is a much more powerful reduction based on the truncated suffix tree our new characterization of the problem leads to more efficient algorithms for string attractors we show how to check the validity and minimality of a kattractor in nearoptimal time and how to quickly compute exact and approximate solutions for example we prove that a minimum 3attractor can be found in optimal on time when sigmain osqrt3epsilonlog n for any constant epsilon0 and 245approximation can be computed in on time on general alphabets to conclude we introduce and study the complexity of the closelyrelated sharpkattractor problem to find the smallest set of positions capturing all distinct substrings of length exactly k we show that the problem is in p for k12 and is npcomplete for constant kgeq 3 | [['string', 'attractors', 'stoc', '2018', 'are', 'combinatorial', 'objects', 'recently', 'introduced', 'to', 'unify', 'all', 'known', 'dictionary', 'compression', 'techniques', 'in', 'a', 'single', 'theory', 'a', 'set', 'gammasubseteq', '1n', 'is', 'a', 'kattractor', 'for', 'a', 'string', 'sin1sigman', 'if', 'and', 'only', 'if', 'every', 'distinct', 'substring', 'of', 's', 'of', 'length', 'at', 'most', 'k', 'has', 'an', 'occurrence', 'straddling', 'at', 'least', 'one', 'of', 'the', 'positions', 'in', 'gamma', 'finding', 'the', 'smallest', 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1,803.01696 | Positive Announcements | Arbitrary public announcement logic (APAL) reasons about how the knowledge of
a set of agents changes after true public announcements and after arbitrary
announcements of true epistemic formulas. We consider a variant of arbitrary
public announcement logic called positive arbitrary public announcement logic
(APAL+), which restricts arbitrary public announcements to announcement of
positive formulas. Positive formulas prohibit statements about the ignorance of
agents. The positive formulas correspond to the universal fragment in
first-order logic. As two successive announcements of positive formulas need
not correspond to the announcement of a positive formula, APAL+ is rather
different from APAL. We show that APAL+ is more expressive than public
announcement logic PAL, and that APAL+ is incomparable with APAL. We also
provide a sound and complete infinitary axiomatisation.
| cs.LO | arbitrary public announcement logic apal reasons about how the knowledge of a set of agents changes after true public announcements and after arbitrary announcements of true epistemic formulas we consider a variant of arbitrary public announcement logic called positive arbitrary public announcement logic apal which restricts arbitrary public announcements to announcement of positive formulas positive formulas prohibit statements about the ignorance of agents the positive formulas correspond to the universal fragment in firstorder logic as two successive announcements of positive formulas need not correspond to the announcement of a positive formula apal is rather different from apal we show that apal is more expressive than public announcement logic pal and that apal is incomparable with apal we also provide a sound and complete infinitary axiomatisation | [['arbitrary', 'public', 'announcement', 'logic', 'apal', 'reasons', 'about', 'how', 'the', 'knowledge', 'of', 'a', 'set', 'of', 'agents', 'changes', 'after', 'true', 'public', 'announcements', 'and', 'after', 'arbitrary', 'announcements', 'of', 'true', 'epistemic', 'formulas', 'we', 'consider', 'a', 'variant', 'of', 'arbitrary', 'public', 'announcement', 'logic', 'called', 'positive', 'arbitrary', 'public', 'announcement', 'logic', 'apal', 'which', 'restricts', 'arbitrary', 'public', 'announcements', 'to', 'announcement', 'of', 'positive', 'formulas', 'positive', 'formulas', 'prohibit', 'statements', 'about', 'the', 'ignorance', 'of', 'agents', 'the', 'positive', 'formulas', 'correspond', 'to', 'the', 'universal', 'fragment', 'in', 'firstorder', 'logic', 'as', 'two', 'successive', 'announcements', 'of', 'positive', 'formulas', 'need', 'not', 'correspond', 'to', 'the', 'announcement', 'of', 'a', 'positive', 'formula', 'apal', 'is', 'rather', 'different', 'from', 'apal', 'we', 'show', 'that', 'apal', 'is', 'more', 'expressive', 'than', 'public', 'announcement', 'logic', 'pal', 'and', 'that', 'apal', 'is', 'incomparable', 'with', 'apal', 'we', 'also', 'provide', 'a', 'sound', 'and', 'complete', 'infinitary', 'axiomatisation']] | [-0.15961379184108226, 0.06751554418355227, -0.10040120133385062, 0.16897488900925964, -0.21151983320713044, -0.22385754626244306, 0.09976127362437547, 0.3443693444468081, -0.20860769886896013, -0.2958691804409027, 0.11952566015254706, -0.27016302925348284, -0.09344145639799535, 0.18118443675758317, -0.1510766111992998, -0.0025023111030459404, 0.020315135898068548, 0.1015213323442731, -0.03248361055925488, -0.3308952180016786, 0.29603513159044087, -0.05964227536320686, 0.18695314814150332, 0.11660825514048338, 0.12469693963229657, 0.10307365788146854, -0.07045994544029235, 0.03761169919371605, -0.1260264903648058, 0.1456673115338781, 0.3517140337880701, 0.28657298712432383, 0.31580377674102783, -0.4266578941196203, -0.04974325989652425, 0.14593248142488302, 0.0110578188970685, 0.14320128067117185, 0.027066425417899154, -0.35361285638064144, 0.06057374266255647, -0.2871705158352852, -0.10913058711215853, -0.09942630833014846, 0.1461086769849062, -0.0014801999032497406, -0.23094750623963772, -0.0024880364111159, 0.23170428866147996, 0.15099347913078964, -0.03869797062873841, -0.10998809270560742, -0.005312814494594932, 0.1068581408187747, 0.015313482736237347, -0.016283569818362594, 0.054270655928179624, -0.060782808892428875, -0.25572839530557395, 0.28001829907298087, -0.06387804978585336, -0.1320819522589445, 0.0548472954230383, -0.12024782904237509, -0.1359143636096269, 0.09687355440855026, 0.10435266320221126, 0.1178088880762225, -0.09168624254316092, 0.08786827546590939, -0.11333387957513333, 0.24006255827099085, 0.184923525871709, 0.04296676660329103, 0.2041119612045586, 0.041424565322697164, 0.07222307733446359, 0.15099556716531515, 0.09872128400579094, -0.1611877942159772, -0.3710616485700011, -0.1294052780326456, -0.04969953711889684, 0.05168455753207672, -0.041290598827996294, -0.14184077239781617, 0.3110158978886902, 0.1840665614679456, 0.08316372835636139, 0.17712828660104424, 0.2952304305434227, 0.04502664516412187, 0.04564115833491087, 0.05240839741379023, 0.09882976661622524, 0.1107100229933858, 0.14330793118476867, -0.08401982062868774, 0.23358200679719449, 0.03857327366061509] |
1,803.01697 | Long-time asymptotics for nonlocal porous medium equation with
absorption or convection | In this paper, the long-time asymptotic behaviours of nonlocal porous medium
equations with absorption or convection are studied. In the parameter regimes
when the nonlocal diffusion is dominant, the entropy method is adapted in this
context to derive the exponential convergence of relative entropy of solutions
in similarity variables.
| math.AP | in this paper the longtime asymptotic behaviours of nonlocal porous medium equations with absorption or convection are studied in the parameter regimes when the nonlocal diffusion is dominant the entropy method is adapted in this context to derive the exponential convergence of relative entropy of solutions in similarity variables | [['in', 'this', 'paper', 'the', 'longtime', 'asymptotic', 'behaviours', 'of', 'nonlocal', 'porous', 'medium', 'equations', 'with', 'absorption', 'or', 'convection', 'are', 'studied', 'in', 'the', 'parameter', 'regimes', 'when', 'the', 'nonlocal', 'diffusion', 'is', 'dominant', 'the', 'entropy', 'method', 'is', 'adapted', 'in', 'this', 'context', 'to', 'derive', 'the', 'exponential', 'convergence', 'of', 'relative', 'entropy', 'of', 'solutions', 'in', 'similarity', 'variables']] | [-0.11368534749145714, 0.09923369768170678, -0.11502846041504218, 0.06712617675241615, -0.012778105252251332, -0.11252584350200331, -0.016515046108647118, 0.29791682859768676, -0.30844837251803553, -0.2263634967408618, 0.08110578708844829, -0.283442529716662, -0.11952557706046013, 0.11001304229151229, -0.06731371271747108, 0.08190300384042215, 0.02049580464443686, 0.016798726335281924, -0.03935351932649406, -0.21776685536820062, 0.3508759916840805, 0.005291493267429118, 0.2737393285128839, 0.012586476442841242, 0.0631530864582378, -0.08159533154447468, -0.045574194675653566, 0.06712305971554347, -0.20412989382689095, 0.08388706494350823, 0.25219722525501737, 0.0263086698037021, 0.2883812719480876, -0.39606394025744224, -0.26720426695383326, 0.10381732516142787, 0.19362278205665703, 0.10514622881096236, 0.004911390560850197, -0.24442443981462594, 0.022229657617720718, -0.14082570628700208, -0.1653695440071882, -0.0639947200840225, 0.04684548349860979, 0.08014461082615415, -0.2958670087462785, 0.20921865229171757, 0.0892547634010006, 0.03355291920086863, -0.08286516184975602, -0.034711849628662576, -0.006832196035099273, 0.061329689003379866, 0.11904919275310727, -0.07722391177691063, 0.09825115076893447, -0.160914161613173, -0.03882623053326899, 0.35189069552841235, -0.12701069281379485, -0.261567373969117, 0.19081266520887005, -0.1651464002777119, -0.07701837253395696, 0.13977549698355854, 0.19833459763084443, 0.1870472926779517, -0.21379225759687406, 0.10981204489017932, -0.023501207291775822, 0.12047697827980226, 0.06881846201473049, 0.05977498031012258, 0.07819076211248734, 0.17700042569420624, 0.06375392285004562, 0.17414828230227744, -0.04620633051939765, -0.1684431359456966, -0.311077282288853, -0.17632419260560858, -0.1439488959707776, 0.04530000481611992, -0.17510086613498171, -0.18672869363989758, 0.36375943312839587, 0.14614061039055184, 0.14832686305958398, 0.017209671323700826, 0.26681528338326177, 0.197281720458853, -0.01842683887261213, 0.09940735813113266, 0.276930804031768, 0.191346344309954, 0.18597816384150362, -0.291570746092772, 0.14177803914252746, 0.149893939343034] |
1,803.01698 | Profiling MOOCs from viewing perspective | We profiled three aspects of MOOCs from the perspective of viewing behaviors,
the most prominent and common ones of MOOC learning. They were learner
classification, course attraction, teaching order and learning order. Based on
viewing behavior data, we provided a non-parametric algorithm to categorize
learners, which helped to narrow the scope of finding potential all-rounders,
and a method to measure the correlations between teaching order and learning
order, which helped to assign teaching contents. Using information entropy, we
provided an index to measure course attraction, which integrated the viewing
time invested on courses and the number of viewed course videos. This index
describes the diminishing marginal utility of repeated viewing and the
increasing information of viewing new videos. It has potential to be an
auxiliary method of assessing course achievements.
| physics.ed-ph physics.soc-ph | we profiled three aspects of moocs from the perspective of viewing behaviors the most prominent and common ones of mooc learning they were learner classification course attraction teaching order and learning order based on viewing behavior data we provided a nonparametric algorithm to categorize learners which helped to narrow the scope of finding potential allrounders and a method to measure the correlations between teaching order and learning order which helped to assign teaching contents using information entropy we provided an index to measure course attraction which integrated the viewing time invested on courses and the number of viewed course videos this index describes the diminishing marginal utility of repeated viewing and the increasing information of viewing new videos it has potential to be an auxiliary method of assessing course achievements | [['we', 'profiled', 'three', 'aspects', 'of', 'moocs', 'from', 'the', 'perspective', 'of', 'viewing', 'behaviors', 'the', 'most', 'prominent', 'and', 'common', 'ones', 'of', 'mooc', 'learning', 'they', 'were', 'learner', 'classification', 'course', 'attraction', 'teaching', 'order', 'and', 'learning', 'order', 'based', 'on', 'viewing', 'behavior', 'data', 'we', 'provided', 'a', 'nonparametric', 'algorithm', 'to', 'categorize', 'learners', 'which', 'helped', 'to', 'narrow', 'the', 'scope', 'of', 'finding', 'potential', 'allrounders', 'and', 'a', 'method', 'to', 'measure', 'the', 'correlations', 'between', 'teaching', 'order', 'and', 'learning', 'order', 'which', 'helped', 'to', 'assign', 'teaching', 'contents', 'using', 'information', 'entropy', 'we', 'provided', 'an', 'index', 'to', 'measure', 'course', 'attraction', 'which', 'integrated', 'the', 'viewing', 'time', 'invested', 'on', 'courses', 'and', 'the', 'number', 'of', 'viewed', 'course', 'videos', 'this', 'index', 'describes', 'the', 'diminishing', 'marginal', 'utility', 'of', 'repeated', 'viewing', 'and', 'the', 'increasing', 'information', 'of', 'viewing', 'new', 'videos', 'it', 'has', 'potential', 'to', 'be', 'an', 'auxiliary', 'method', 'of', 'assessing', 'course', 'achievements']] | [-0.03463874757831353, 0.04272341550090494, -0.13851984899649902, 0.0738433137014436, -0.1588307077700431, -0.1535990657916567, 0.049537772226125695, 0.4228881042046371, -0.2854737291850742, -0.37923463498234977, 0.06814790115143035, -0.29611929153749184, -0.1275671075058509, 0.17067630099161535, -0.11895179004921008, 0.023628122076688175, 0.030506346432506576, 0.058915211710818975, -0.04668393595118884, -0.3276075177732133, 0.31919972070803243, 0.08059018238108287, 0.3075851108481775, 0.0370675958295952, 0.10663921972772814, 0.041295265703093866, -0.06885017790333477, 0.043916919748768095, -0.10081571998262359, 0.1867519713533941, 0.3359588212279473, 0.2222096260470995, 0.4013413258236219, -0.3504641021605466, -0.15629168178221975, 0.07917066930627176, 0.11374733414926906, 0.06673015132203496, -0.06303988674081602, -0.34122945348075195, 0.006677331568947596, -0.17667648975571343, -0.08590967899780402, -0.09569064780434434, 0.010104204396276857, -0.017529229772486544, -0.2432759751443022, -0.02413266435511006, 0.04066599318180089, 0.12958846876917537, -0.053532985854865045, -0.12986007537837177, 0.026419260004867415, 0.23000004040005134, 0.13702026527201713, 0.019808417977584713, 0.15339999525381845, -0.16059581534222683, -0.14131465256520973, 0.35822088691557563, -0.02259430389981284, -0.14073511070838962, 0.21963204806056885, -0.1029720905105143, -0.09116966009515431, 0.11055809694392853, 0.26884490020515384, 0.10860693025178919, -0.14493996260124584, -0.018541790266131418, 0.03407841588031183, 0.19833447438910198, 0.03638312693003045, 0.00995370304002607, 0.19501129828768876, 0.1840416879154915, 0.013973175013769967, 0.0962752750415947, -0.0796940536418742, -0.12758451543185254, -0.2601914781636681, -0.16747654222543965, -0.18066275484369013, 0.017152546204684316, -0.10170523562335929, -0.12447584686031955, 0.41959117387616357, 0.1841088866599738, 0.1507080092091229, 0.048416335416358515, 0.24907472732570746, 0.0822571157008525, 0.07169953458076127, 0.07960161465299569, 0.17031095247686834, 0.0391808827100827, 0.15671976675214463, -0.15917188501483653, 0.09566390084810267, 0.04749835142504799] |
1,803.01699 | Banded Spatio-Temporal Autoregressions | We propose a new class of spatio-temporal models with unknown and banded
autoregressive coefficient matrices. The setting represents a sparse structure
for high-dimensional spatial panel dynamic models when panel members represent
economic (or other type) individuals at many different locations. The structure
is practically meaningful when the order of panel members is arranged
appropriately. Note that the implied autocovariance matrices are unlikely to be
banded, and therefore, the proposal is radically different from the existing
literature on the inference for high-dimensional banded covariance matrices.
Due to the innate endogeneity, we apply the least squares method based on a
Yule-Walker equation to estimate autoregressive coefficient matrices. The
estimators based on multiple Yule-Walker equations are also studied. A
ratio-based method for determining the bandwidth of autoregressive matrices is
also proposed. Some asymptotic properties of the inference methods are
established. The proposed methodology is further illustrated using both
simulated and real data sets.
| stat.ME | we propose a new class of spatiotemporal models with unknown and banded autoregressive coefficient matrices the setting represents a sparse structure for highdimensional spatial panel dynamic models when panel members represent economic or other type individuals at many different locations the structure is practically meaningful when the order of panel members is arranged appropriately note that the implied autocovariance matrices are unlikely to be banded and therefore the proposal is radically different from the existing literature on the inference for highdimensional banded covariance matrices due to the innate endogeneity we apply the least squares method based on a yulewalker equation to estimate autoregressive coefficient matrices the estimators based on multiple yulewalker equations are also studied a ratiobased method for determining the bandwidth of autoregressive matrices is also proposed some asymptotic properties of the inference methods are established the proposed methodology is further illustrated using both simulated and real data sets | [['we', 'propose', 'a', 'new', 'class', 'of', 'spatiotemporal', 'models', 'with', 'unknown', 'and', 'banded', 'autoregressive', 'coefficient', 'matrices', 'the', 'setting', 'represents', 'a', 'sparse', 'structure', 'for', 'highdimensional', 'spatial', 'panel', 'dynamic', 'models', 'when', 'panel', 'members', 'represent', 'economic', 'or', 'other', 'type', 'individuals', 'at', 'many', 'different', 'locations', 'the', 'structure', 'is', 'practically', 'meaningful', 'when', 'the', 'order', 'of', 'panel', 'members', 'is', 'arranged', 'appropriately', 'note', 'that', 'the', 'implied', 'autocovariance', 'matrices', 'are', 'unlikely', 'to', 'be', 'banded', 'and', 'therefore', 'the', 'proposal', 'is', 'radically', 'different', 'from', 'the', 'existing', 'literature', 'on', 'the', 'inference', 'for', 'highdimensional', 'banded', 'covariance', 'matrices', 'due', 'to', 'the', 'innate', 'endogeneity', 'we', 'apply', 'the', 'least', 'squares', 'method', 'based', 'on', 'a', 'yulewalker', 'equation', 'to', 'estimate', 'autoregressive', 'coefficient', 'matrices', 'the', 'estimators', 'based', 'on', 'multiple', 'yulewalker', 'equations', 'are', 'also', 'studied', 'a', 'ratiobased', 'method', 'for', 'determining', 'the', 'bandwidth', 'of', 'autoregressive', 'matrices', 'is', 'also', 'proposed', 'some', 'asymptotic', 'properties', 'of', 'the', 'inference', 'methods', 'are', 'established', 'the', 'proposed', 'methodology', 'is', 'further', 'illustrated', 'using', 'both', 'simulated', 'and', 'real', 'data', 'sets']] | [-0.058392864124228554, 0.049533989187330006, -0.055707553783431646, 0.10839975989190861, -0.09699818348512053, -0.17248216036707162, -0.0021685233091314634, 0.4167042899876833, -0.272921874281019, -0.25928424145715934, 0.17003936907742173, -0.265993690105776, -0.2067314110265579, 0.17954126335214823, -0.07994946685309211, 0.10108395335148089, 0.04552524123590653, 0.014350832017759482, -0.0816094316226857, -0.28057148469612003, 0.32074205042173465, 0.06118859202601015, 0.30295783166463175, -0.07504678011250993, 0.13781222846126184, -0.014453627134983738, -0.08147708418158194, 0.009121506406615177, -0.057451582500022295, 0.15379118331863234, 0.26472433797457295, 0.13605047620444868, 0.31029799829237165, -0.37601427524040143, -0.22273508748660484, 0.11659068511798978, 0.12023507385514677, 0.07784441211881737, 0.0061446718700851, -0.2965510462069263, 0.06607226592488587, -0.16817004210160424, -0.11910987219152351, -0.09583322632436951, -0.029115064771225056, 0.01431141309440136, -0.37132255292575184, 0.11531223621801473, 0.025404648582140605, 0.048687648037448523, -0.03934422430892785, -0.19559266118643184, 0.036086831307038665, 0.07602537450400026, 0.06253168597196539, -0.09322365518659353, 0.09299541961285286, -0.05826440563114981, -0.09876578974847992, 0.3118147970425586, -0.00978127317270264, -0.25397244285792114, 0.17806845743209124, -0.1262200445930163, -0.14786837307115397, 0.09669623989922305, 0.24239621638320386, 0.08773162382033964, -0.18801551846341075, 0.0588679312406263, -0.0817459923401475, 0.16669217824935914, 0.024930878191565475, -0.022466331319883466, 0.14678958240896464, 0.17368933450896293, 0.06406115963395374, 0.10167631358490326, -0.11480152776620041, -0.11203028791118413, -0.24882580780462982, -0.08587184029631317, -0.2020653609621028, -0.022411543416480224, -0.19415668508319261, -0.21875309999876966, 0.40717672956486545, 0.17722828490659595, 0.19597013431911667, 0.10038552220910787, 0.2677831601165235, 0.11213850816090902, 0.037135514366285254, 0.10563623806151251, 0.13223300098228113, 0.15394477068757018, 0.05405209187263002, -0.15680351560469716, 0.16592468629280727, 0.06762008458686372] |
1,803.017 | Spiral attractors as the root of a new type of "bursting activity" in
the Rosenzweig-MacArthur model | We study the peculiarities of spiral attractors in the Rosenzweig-MacArthur
model, that describes dynamics in a food chain "prey-predator-superpredator".
It is well-known that spiral attractors having a "teacup" geometry are typical
for this model at certain values of parameters for which the system can be
considered as slow-fast system. We show that these attractors appear due to the
Shilnikov scenario, the first step in which is associated with a supercritical
Andronov-Hopf bifurcation and the last step leads to the appearance of a
homoclinic attractor containing a homoclinic loop to a saddle-focus equilibrium
with two-dimension unstable manifold. It is shown that the homoclinic spiral
attractors together with the slow-fast behavior give rise to a new type of
bursting activity in this system. Intervals of fast oscillations for such type
of bursting alternate with slow motions of two types: small amplitude
oscillations near a saddle-focus equilibrium and motions near a stable slow
manifold of a fast subsystem. We demonstrate that such type of bursting
activity can be either chaotic or regular.
| nlin.CD | we study the peculiarities of spiral attractors in the rosenzweigmacarthur model that describes dynamics in a food chain preypredatorsuperpredator it is wellknown that spiral attractors having a teacup geometry are typical for this model at certain values of parameters for which the system can be considered as slowfast system we show that these attractors appear due to the shilnikov scenario the first step in which is associated with a supercritical andronovhopf bifurcation and the last step leads to the appearance of a homoclinic attractor containing a homoclinic loop to a saddlefocus equilibrium with twodimension unstable manifold it is shown that the homoclinic spiral attractors together with the slowfast behavior give rise to a new type of bursting activity in this system intervals of fast oscillations for such type of bursting alternate with slow motions of two types small amplitude oscillations near a saddlefocus equilibrium and motions near a stable slow manifold of a fast subsystem we demonstrate that such type of bursting activity can be either chaotic or regular | [['we', 'study', 'the', 'peculiarities', 'of', 'spiral', 'attractors', 'in', 'the', 'rosenzweigmacarthur', 'model', 'that', 'describes', 'dynamics', 'in', 'a', 'food', 'chain', 'preypredatorsuperpredator', 'it', 'is', 'wellknown', 'that', 'spiral', 'attractors', 'having', 'a', 'teacup', 'geometry', 'are', 'typical', 'for', 'this', 'model', 'at', 'certain', 'values', 'of', 'parameters', 'for', 'which', 'the', 'system', 'can', 'be', 'considered', 'as', 'slowfast', 'system', 'we', 'show', 'that', 'these', 'attractors', 'appear', 'due', 'to', 'the', 'shilnikov', 'scenario', 'the', 'first', 'step', 'in', 'which', 'is', 'associated', 'with', 'a', 'supercritical', 'andronovhopf', 'bifurcation', 'and', 'the', 'last', 'step', 'leads', 'to', 'the', 'appearance', 'of', 'a', 'homoclinic', 'attractor', 'containing', 'a', 'homoclinic', 'loop', 'to', 'a', 'saddlefocus', 'equilibrium', 'with', 'twodimension', 'unstable', 'manifold', 'it', 'is', 'shown', 'that', 'the', 'homoclinic', 'spiral', 'attractors', 'together', 'with', 'the', 'slowfast', 'behavior', 'give', 'rise', 'to', 'a', 'new', 'type', 'of', 'bursting', 'activity', 'in', 'this', 'system', 'intervals', 'of', 'fast', 'oscillations', 'for', 'such', 'type', 'of', 'bursting', 'alternate', 'with', 'slow', 'motions', 'of', 'two', 'types', 'small', 'amplitude', 'oscillations', 'near', 'a', 'saddlefocus', 'equilibrium', 'and', 'motions', 'near', 'a', 'stable', 'slow', 'manifold', 'of', 'a', 'fast', 'subsystem', 'we', 'demonstrate', 'that', 'such', 'type', 'of', 'bursting', 'activity', 'can', 'be', 'either', 'chaotic', 'or', 'regular']] | [-0.21891962141394505, 0.14505428824728975, -0.11007195094604835, 0.08897574220775693, -0.037514224206374604, -0.1707315077073872, 0.031571343503033165, 0.2986876855249561, -0.2824794148937577, -0.22186200825187066, 0.14393439443249786, -0.24564270506102948, -0.20459333743340158, 0.20047900179495282, -0.06818269436535913, 0.005267061212136815, 0.08903005024573456, 0.05159229955807816, -0.006289433614472814, -0.15654782032582998, 0.322335920462917, -0.025001359033575726, 0.20777655554203583, -0.08851225125614465, 0.09604825344424517, -0.10646615421172187, 0.07421765713314969, 0.03451850624488933, -0.12518139267355027, 0.035877585716662, 0.1982418935229015, 0.06369662547764338, 0.23409557506342285, -0.4148532632583131, -0.23188638577093593, 0.12738358600264682, 0.19941518772698363, 0.14343923489823715, -0.026845701364003445, -0.28306598541149425, 0.07683355161307623, -0.14705473738944247, -0.2334115778046128, -0.08960325821646534, 0.07681001361370796, 0.07921247717569627, -0.25145767340880065, 0.08704807915602855, 0.11395509805221254, 0.06435518588183359, -0.07024859760644003, 0.020574331183091828, -0.08167830079106525, 0.11213151655309568, 0.05568375984148588, 0.025036995272828443, 0.11758422207674898, -0.07670043679120551, -0.09827782366690892, 0.32759886879440664, -0.07653339002198274, -0.17020647911426967, 0.262365583435721, -0.1615550262587411, -0.171897397429261, 0.19542902940329873, 0.15626938890186248, 0.07906173772477944, -0.1180237054747219, 0.01299297860255354, -0.01367685632569538, 0.14696537133394963, 0.0678261840672197, 0.002341825397230596, 0.2261792927026926, 0.21961053978053055, 0.11060007056221366, 0.155785237261582, -0.08777650942439712, -0.17070456675996648, -0.2978878209077742, -0.08286981215739313, -0.07930525326325248, 0.08198979731449592, -0.08834269780847881, -0.24075511150069706, 0.44448627336948576, 0.06563685605233006, 0.25519072863140274, 0.003147370643481346, 0.23279761865775245, 0.10161827410878946, 0.029296847392937968, 0.08795672699315696, 0.248724373146182, 0.09800122791923405, 0.10221156892865631, -0.22649257916851812, 0.043943886775066075, 0.11562313077073279] |
1,803.01701 | Gauge invariance induced relations and the equivalence between distinct
approaches to NLSM amplitudes | In this paper, we derive generalized Bern-Carrasco-Johansson relations for
color-ordered Yang-Mills amplitudes by imposing gauge invariance conditions and
dimensional reduction appropriately on the new discovered graphic expansion of
Einstein-Yang-Mills amplitudes. These relations are also satisfied by
color-ordered amplitudes in other theories such as color-scalar theory,
bi-scalar theory and nonlinear sigma model (NLSM). As an application of the
gauge invariance induced relations, we further prove that the three types of
BCJ numerators in NLSM , which are derived from Feynman rules, Abelian Z-theory
and Cachazo-He- Yuan formula respectively, produce the same total amplitudes.
In other words, the three distinct approaches to NLSM amplitudes are equivalent
to each other.
| hep-th | in this paper we derive generalized berncarrascojohansson relations for colorordered yangmills amplitudes by imposing gauge invariance conditions and dimensional reduction appropriately on the new discovered graphic expansion of einsteinyangmills amplitudes these relations are also satisfied by colorordered amplitudes in other theories such as colorscalar theory biscalar theory and nonlinear sigma model nlsm as an application of the gauge invariance induced relations we further prove that the three types of bcj numerators in nlsm which are derived from feynman rules abelian ztheory and cachazohe yuan formula respectively produce the same total amplitudes in other words the three distinct approaches to nlsm amplitudes are equivalent to each other | [['in', 'this', 'paper', 'we', 'derive', 'generalized', 'berncarrascojohansson', 'relations', 'for', 'colorordered', 'yangmills', 'amplitudes', 'by', 'imposing', 'gauge', 'invariance', 'conditions', 'and', 'dimensional', 'reduction', 'appropriately', 'on', 'the', 'new', 'discovered', 'graphic', 'expansion', 'of', 'einsteinyangmills', 'amplitudes', 'these', 'relations', 'are', 'also', 'satisfied', 'by', 'colorordered', 'amplitudes', 'in', 'other', 'theories', 'such', 'as', 'colorscalar', 'theory', 'biscalar', 'theory', 'and', 'nonlinear', 'sigma', 'model', 'nlsm', 'as', 'an', 'application', 'of', 'the', 'gauge', 'invariance', 'induced', 'relations', 'we', 'further', 'prove', 'that', 'the', 'three', 'types', 'of', 'bcj', 'numerators', 'in', 'nlsm', 'which', 'are', 'derived', 'from', 'feynman', 'rules', 'abelian', 'ztheory', 'and', 'cachazohe', 'yuan', 'formula', 'respectively', 'produce', 'the', 'same', 'total', 'amplitudes', 'in', 'other', 'words', 'the', 'three', 'distinct', 'approaches', 'to', 'nlsm', 'amplitudes', 'are', 'equivalent', 'to', 'each', 'other']] | [-0.16440669218830478, 0.22065756279796636, -0.09690001578285144, 0.16276172534764136, -0.118747508294361, -0.1429586820035743, 0.01734393618244212, 0.3211165668013004, -0.213398313846063, -0.28089745910480046, 0.019988945519659095, -0.27492931104587537, -0.2279356567081637, 0.13443992326378626, -0.025742325506423816, 0.030144634508850195, -0.012979755996359298, 0.053370237175840884, -0.12770456281130185, -0.2573320420924574, 0.312453323455814, -0.10372746147130293, 0.29666841266533506, -0.005233298396118558, 0.10772512828967032, 0.04254421885035789, -0.0771425200241188, 0.037695939043680064, -0.12411862608671352, 0.1200224683405115, 0.24421591927798894, 0.09579608607544707, 0.04857260115050639, -0.4334289059401132, -0.18684014367262045, 0.04311240258483359, 0.17598453966023114, 0.11055173243445236, 0.07184187801836882, -0.2829581575754743, 0.039809014925804846, -0.1811111438123939, -0.15261840400993465, -0.12257011505202033, 0.035546176350460604, -0.05194073327584192, -0.2647638243797701, 0.07813377695604756, 0.025736487551162448, 0.06024621101991775, -0.030793542140879884, -0.14134274360437232, -0.0851072574329849, 0.09158697111818653, 0.08668874764631394, 0.03481341107712629, 0.010976966380929718, -0.2110600061880457, -0.17594524035946682, 0.36686155247242336, -0.07329111929105309, -0.24141527934429738, 0.14362684492768424, -0.10701752252106626, -0.2605342133857238, 0.0577564387953876, 0.09759422137778109, 0.10296179491202705, -0.19737251323217955, 0.1720235957764089, -0.04348634093408831, 0.08742940039463484, 0.204641318857634, 0.06861034532910427, 0.19272404779509927, 0.006740285244841988, -0.051852660674530156, 0.11727727094582335, 0.0243353556344608, -0.07602444093656512, -0.4342830346610684, -0.07940698778167224, -0.033157949532883674, 0.03781599697182313, -0.17098795081661733, -0.13829092784838465, 0.307980005754731, 0.1326329121382934, 0.1342157586301395, 0.12889351794952886, 0.21294187743646595, 0.22839762817378728, 0.12198508971442397, 0.002984755347894791, 0.21338118276057336, 0.2141617135337303, 0.008811822693902426, -0.21092620116542093, -0.10526911863081086, 0.24699416479471928] |
1,803.01702 | Factional Brownian motion with multivariate time in a large convex area:
persistence exponents | The fractional Brownian motion of index $0 < H < 1$, H-FBM, with
d-dimensional time is considered on an expanding set TG, where G is a bounded
convex domain that contains 0 at its boundary. The main result: if 0 is a point
of smoothness of the boundary, then the log-asymptotics of probability that
H-FBM does not exceed a fixed positive level in TG is $(H - d + o(1)) \log T$,
$T\to\infty$. Some generalizations of this result to isotropic but not
self-similar Gaussian processes with stationary increments are also considered.
| math.PR | the fractional brownian motion of index 0 h 1 hfbm with ddimensional time is considered on an expanding set tg where g is a bounded convex domain that contains 0 at its boundary the main result if 0 is a point of smoothness of the boundary then the logasymptotics of probability that hfbm does not exceed a fixed positive level in tg is h d o1 log t ttoinfty some generalizations of this result to isotropic but not selfsimilar gaussian processes with stationary increments are also considered | [['the', 'fractional', 'brownian', 'motion', 'of', 'index', '0', 'h', '1', 'hfbm', 'with', 'ddimensional', 'time', 'is', 'considered', 'on', 'an', 'expanding', 'set', 'tg', 'where', 'g', 'is', 'a', 'bounded', 'convex', 'domain', 'that', 'contains', '0', 'at', 'its', 'boundary', 'the', 'main', 'result', 'if', '0', 'is', 'a', 'point', 'of', 'smoothness', 'of', 'the', 'boundary', 'then', 'the', 'logasymptotics', 'of', 'probability', 'that', 'hfbm', 'does', 'not', 'exceed', 'a', 'fixed', 'positive', 'level', 'in', 'tg', 'is', 'h', 'd', 'o1', 'log', 't', 'ttoinfty', 'some', 'generalizations', 'of', 'this', 'result', 'to', 'isotropic', 'but', 'not', 'selfsimilar', 'gaussian', 'processes', 'with', 'stationary', 'increments', 'are', 'also', 'considered']] | [-0.1332678774815995, 0.19914459883340435, -0.06961504592099922, -0.006721564676965876, -0.06930083971759625, -0.17288024839142274, 0.02470568663858134, 0.3708107296174028, -0.2835706423261556, -0.16756233134060755, 0.11199523949455041, -0.2897146589326105, -0.08393752599006583, 0.12623454247141022, -0.08262587847166705, 0.03892778030840209, 0.006046881032144201, 0.13030079108844886, -0.018332802117855727, -0.24010091246073617, 0.28466168967685823, -0.05381839544694314, 0.14431453663748742, 0.04073271273913654, 0.09756189479824455, -0.060529843417007005, 0.006129881405892472, 0.026268662927650857, -0.21259578295542467, -0.0034978576807369447, 0.20057742537438183, 0.08279468862596771, 0.29727250511019393, -0.31288388277264845, -0.21229204541639607, 0.18216529135838494, 0.12735747336677608, -0.02652293815589965, 0.02844248610634314, -0.24851065395057373, 0.13926306700912014, -0.07344081963615856, -0.18936976873390804, 0.018230010238850767, 0.1307349026460072, 0.02644065462438197, -0.3071273565452931, 0.10104369190381036, 0.1870552767496342, 0.005519104522021337, -0.05329163606283951, -0.15304750318628277, -0.07561666185796347, 0.05739693676560432, 0.025584587372368437, 0.11600746662555338, 0.11421251359085242, -0.10449051753659304, -0.09112524445136559, 0.36212417237118055, -0.12354735303777216, -0.26913241993625187, 0.1699844558573403, -0.2370993991371715, -0.13580452172813573, 0.17797722705457916, 0.10007810653669053, 0.16792492650385046, -0.07709715855990312, 0.2263003623423477, -0.07371568231008432, 0.15228962575134972, 0.11357047765826185, -0.026457854525196826, 0.08822728658694474, 0.1074458247387846, 0.16115037365227766, 0.11677395474251318, -0.05327792570326777, -0.06945945674168139, -0.41761339849781715, -0.14086051423359533, -0.26434774703249847, 0.1533477863717701, -0.14760775230396753, -0.20550085201688195, 0.27464814721232, 0.08179790944117925, 0.22572659886838203, 0.11279655224376026, 0.20276319418616337, 0.17077987294141658, -0.048769464898297844, 0.14640607340689535, 0.09986979843166807, 0.12342108862110596, 0.04865812908472686, -0.14585672768539396, 0.048371155205685856, 0.08238644686567025] |
1,803.01703 | Manifolds of magnetic ordered states and excitations in the almost
Heisenberg pyrochlore antiferromagnet MgCr2O4 | In spinels ACr2O4 (A=Mg, Zn) realisation of the classical pyrochlore
Heisenberg antiferromagnet model is complicated by a strong spin-lattice
coupling: the extensive degeneracy of the ground state is lifted by a
magneto-structural transition at TN=12.5 K. We study the resulting
low-temperature low-symmetry crystal structure by synchrotron x-ray
diffraction. The consistent features of x-ray low-temperature patterns are
explained by the tetragonal model of Ehrenberg et. al (Pow. Diff. 17, 230(
2002)), while other features depend on sample or cooling protocol. Complex
partially ordered magnetic state is studied by neutron diffraction and
spherical neutron polarimetry. Multiple magnetic domains of configuration arms
of the propagation vectors k1=(1/2 1/2 0), k2=(1 0 1/2) appear. The ordered
moment reaches 1.94(3) muB/Cr3+ for k1 and 2.08(3) muB/Cr3+ for k2, if equal
amount of the k1 and k2 phases is assumed. The magnetic arrangements have the
dominant components along the [110] and [1-10] diagonals and a smaller
c-component. By inelastic neutron scattering we investigate the spin
excitations, which comprise a mixture of dispersive spin waves propagating from
the magnetic Bragg peaks and resonance modes centered at equal energy steps of
4.5 meV. We interpret these as acoustic and optical spin wave branches, but
show that the neutron scattering cross sections of transitions within a unit of
two corner-sharing tetrahedra match the observed intensity distribution of the
resonances. The distinctive fingerprint of cluster-like excitations in the
optical spin wave branches suggests that propagating excitations are localized
by the complex crystal structure and magnetic orders.
| cond-mat.str-el | in spinels acr2o4 amg zn realisation of the classical pyrochlore heisenberg antiferromagnet model is complicated by a strong spinlattice coupling the extensive degeneracy of the ground state is lifted by a magnetostructural transition at tn125 k we study the resulting lowtemperature lowsymmetry crystal structure by synchrotron xray diffraction the consistent features of xray lowtemperature patterns are explained by the tetragonal model of ehrenberg et al pow diff 17 230 2002 while other features depend on sample or cooling protocol complex partially ordered magnetic state is studied by neutron diffraction and spherical neutron polarimetry multiple magnetic domains of configuration arms of the propagation vectors k112 12 0 k21 0 12 appear the ordered moment reaches 1943 mubcr3 for k1 and 2083 mubcr3 for k2 if equal amount of the k1 and k2 phases is assumed the magnetic arrangements have the dominant components along the 110 and 110 diagonals and a smaller ccomponent by inelastic neutron scattering we investigate the spin excitations which comprise a mixture of dispersive spin waves propagating from the magnetic bragg peaks and resonance modes centered at equal energy steps of 45 mev we interpret these as acoustic and optical spin wave branches but show that the neutron scattering cross sections of transitions within a unit of two cornersharing tetrahedra match the observed intensity distribution of the resonances the distinctive fingerprint of clusterlike excitations in the optical spin wave branches suggests that propagating excitations are localized by the complex crystal structure and magnetic orders | [['in', 'spinels', 'acr2o4', 'amg', 'zn', 'realisation', 'of', 'the', 'classical', 'pyrochlore', 'heisenberg', 'antiferromagnet', 'model', 'is', 'complicated', 'by', 'a', 'strong', 'spinlattice', 'coupling', 'the', 'extensive', 'degeneracy', 'of', 'the', 'ground', 'state', 'is', 'lifted', 'by', 'a', 'magnetostructural', 'transition', 'at', 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1,803.01704 | The inversion formula for the Volterra integral equation with the
Humbert function in the nuclear and its applications to the boundary value
problems | Many problems of applied mathematics are reduced to the solution of integral
equations with special functions in kernels, therefore the inversion formulas
for such equations play an important role in solving boundary value problems
for second-order partial differential equations. In this paper, we introduce
one degenerate hypergeometric function of two variables through which the
solution of the Volterra integral equation of the first kind studing here is
expressed.
| math.AP | many problems of applied mathematics are reduced to the solution of integral equations with special functions in kernels therefore the inversion formulas for such equations play an important role in solving boundary value problems for secondorder partial differential equations in this paper we introduce one degenerate hypergeometric function of two variables through which the solution of the volterra integral equation of the first kind studing here is expressed | [['many', 'problems', 'of', 'applied', 'mathematics', 'are', 'reduced', 'to', 'the', 'solution', 'of', 'integral', 'equations', 'with', 'special', 'functions', 'in', 'kernels', 'therefore', 'the', 'inversion', 'formulas', 'for', 'such', 'equations', 'play', 'an', 'important', 'role', 'in', 'solving', 'boundary', 'value', 'problems', 'for', 'secondorder', 'partial', 'differential', 'equations', 'in', 'this', 'paper', 'we', 'introduce', 'one', 'degenerate', 'hypergeometric', 'function', 'of', 'two', 'variables', 'through', 'which', 'the', 'solution', 'of', 'the', 'volterra', 'integral', 'equation', 'of', 'the', 'first', 'kind', 'studing', 'here', 'is', 'expressed']] | [-0.12993335270541995, 0.005443952794688384, -0.0692349168992437, 0.07454333548872348, -0.12774888620547512, -0.09757949557045803, -0.060322662608300825, 0.2697377942694241, -0.34912683045053305, -0.26284810582942825, 0.15754187666735722, -0.26719118304454775, -0.20984818517257842, 0.2311464143807397, -0.021489449522264562, 0.1087352677132003, 0.07014803907505292, 0.0052466276512645625, -0.12176279948942144, -0.24558389148168155, 0.39612462371587753, -0.06932043018476929, 0.1749365548397798, 0.01573009621214998, 0.1880163669668357, 0.002562400439808912, -0.021303696489399847, -0.010347620830597246, -0.1344184769755777, 0.09972278607379206, 0.3550189035013318, 0.07471113193177563, 0.32760554316508417, -0.46243453916052685, -0.1590642121154815, 0.09656861216268119, 0.16312647823874346, 0.07434386697851177, -0.028196078101994797, -0.23259252839831307, 0.007569705942467622, -0.11071881356388878, -0.1957025648238521, -0.06547907469383277, -0.0040830694180091515, 0.0698315294336199, -0.2821738877306309, 0.113720947465695, 0.05452671280705973, 0.03944382460801588, -0.1278674983597525, -0.14555928465800688, 0.04639606734546011, 0.07920706043403376, 0.041914241073433965, -0.02576841088011861, 0.005687670658945161, -0.1873617787290748, -0.09833100558642079, 0.37063030513715656, -0.06172388083274093, -0.32917713423204775, 0.07924333627007026, -0.10223273956216872, -0.19599469662780927, 0.1264614667144248, 0.18379205848802538, 0.22181005161666476, -0.20026734678814298, 0.0987537804963615, -0.04105881342547946, 0.10345677393557065, 0.09016904076698291, 0.009636087370488574, 0.11713858055608238, 0.09664234732661177, 0.07665679913257276, 0.1708536124377347, 0.045348386858891254, -0.1828508673557628, -0.370712605140665, -0.2138098912067054, -0.11148679389867432, 0.04535204482047394, -0.09884378763201633, -0.22993635468404083, 0.36907657630303325, 0.13542628014350638, 0.10277355575646438, -0.015804598517099616, 0.21642546410508015, 0.32911697007469176, 0.03663653918706319, 0.021366737510748756, 0.1665484925307443, 0.2032502061680562, 0.13905791521948926, -0.2061543206561028, 0.05705787920776535, 0.1880994290113449] |
1,803.01705 | Fundamental solutions of generalized bi-axially symmetric multivariable
Helmholtz equation | In the present article for the generalized bi-axially symmetric multivariable
Helmholtz equation four fundamental solutions are constructed in explicit form.
Furthermore, some properties of these solutions are shown, which will be used
for solving boundary value problems for aforementioned equation.
| math.AP | in the present article for the generalized biaxially symmetric multivariable helmholtz equation four fundamental solutions are constructed in explicit form furthermore some properties of these solutions are shown which will be used for solving boundary value problems for aforementioned equation | [['in', 'the', 'present', 'article', 'for', 'the', 'generalized', 'biaxially', 'symmetric', 'multivariable', 'helmholtz', 'equation', 'four', 'fundamental', 'solutions', 'are', 'constructed', 'in', 'explicit', 'form', 'furthermore', 'some', 'properties', 'of', 'these', 'solutions', 'are', 'shown', 'which', 'will', 'be', 'used', 'for', 'solving', 'boundary', 'value', 'problems', 'for', 'aforementioned', 'equation']] | [-0.11160142542503308, 0.036038460512645545, -0.07351259466377087, 0.07968976150732487, -0.13516568103805185, -0.15216750891413539, -0.10058191305142827, 0.31375369371380657, -0.2879290089011192, -0.23716658358462156, 0.20790354303899222, -0.24476659669307993, -0.2014530071988702, 0.27169626611284914, -0.011243954091332853, 0.15179884852841496, 0.059093771892366934, 0.03087101215496659, -0.11674878289923071, -0.23140487135387958, 0.3889150820672512, -0.09836356292071287, 0.25615766034461557, 0.04478294509463012, 0.08688460197299719, -0.0883837039815262, 0.02733396680559963, 0.041029884456656875, -0.21783703272230923, 0.1297932037501596, 0.319656025711447, 0.06936945393681526, 0.2394438276067376, -0.44731764905154703, -0.20473909042775632, 0.09281117948703468, 0.1774409382371232, 0.10402850674872752, -0.08621372843626887, -0.2381949880393222, 0.0923593081184663, -0.12380244815722108, -0.21746438791742548, -0.10529758045449852, -0.01607127473689616, 0.07798695396631956, -0.27332399601582436, 0.10256411008303985, 0.012459883640985936, -0.044792167196283116, -0.17882797156926244, -0.18787190734874457, 0.0507041102158837, 0.058894265291746704, 0.0092618950875476, -0.05266557883005589, -0.023512371315155177, -0.13518090066500008, -0.0823396798921749, 0.3818138222210109, 0.0018941839691251517, -0.3603828835301101, 0.1077128465520218, -0.05312865450978279, -0.1520023760618642, 0.08319201139966026, 0.1523340869927779, 0.17349578402936458, -0.2291168846655637, 0.12153705699602142, -0.04556923536292743, 0.09982504268118646, 0.15205695149488746, -0.006894388236105442, 0.1366663021966815, 0.055608708038926126, 0.06669486786704511, 0.16456332546367775, 0.05836825036094524, -0.16084903695154934, -0.3413383215432987, -0.17722348370589316, -0.11542569249868392, 0.07060865871608257, -0.09040664474014193, -0.17570800455505378, 0.3804120235319715, 0.11748735512373969, 0.08454220476560295, 0.03127050142211374, 0.1791981409303844, 0.2360128135420382, -0.007443913165479899, 0.08419775611255317, 0.23823830079418257, 0.15611935751512646, 0.10595206958241761, -0.174370486663247, -0.005235117336269468, 0.18216318893246353] |
1,803.01706 | Laboratory Simulations of Haze Formation in the Atmospheres of
super-Earths and mini-Neptunes: Particle Color and Size Distribution | Super-Earths and mini-Neptunes are the most abundant types of planets among
the ~3500 confirmed exoplanets, and are expected to exhibit a wide variety of
atmospheric compositions. Recent transmission spectra of super-Earths and
mini-Neptunes have demonstrated the possibility that exoplanets have haze/cloud
layers at high altitudes in their atmospheres. However, the compositions, size
distributions, and optical properties of these particles in exoplanet
atmospheres are poorly understood. Here, we present the results of experimental
laboratory investigations of photochemical haze formation within a range of
planetary atmospheric conditions, as well as observations of the color and size
of produced haze particles. We find that atmospheric temperature and
metallicity strongly affect particle color and size, thus altering the
particles' optical properties (e.g., absorptivity, scattering, etc.); on a
larger scale, this affects the atmospheric and surface temperature of the
exoplanets, and their potential habitability. Our results provide constraints
on haze formation and particle properties that can serve as critical inputs for
exoplanet atmosphere modeling, and guide future observations of super-Earths
and mini-Neptunes with the Transiting Exoplanet Survey Satellite (TESS), the
James Webb Space Telescope (JWST), and the Wide-Field Infrared Survey Telescope
(WFIRST).
| astro-ph.EP | superearths and minineptunes are the most abundant types of planets among the 3500 confirmed exoplanets and are expected to exhibit a wide variety of atmospheric compositions recent transmission spectra of superearths and minineptunes have demonstrated the possibility that exoplanets have hazecloud layers at high altitudes in their atmospheres however the compositions size distributions and optical properties of these particles in exoplanet atmospheres are poorly understood here we present the results of experimental laboratory investigations of photochemical haze formation within a range of planetary atmospheric conditions as well as observations of the color and size of produced haze particles we find that atmospheric temperature and metallicity strongly affect particle color and size thus altering the particles optical properties eg absorptivity scattering etc on a larger scale this affects the atmospheric and surface temperature of the exoplanets and their potential habitability our results provide constraints on haze formation and particle properties that can serve as critical inputs for exoplanet atmosphere modeling and guide future observations of superearths and minineptunes with the transiting exoplanet survey satellite tess the james webb space telescope jwst and the widefield infrared survey telescope wfirst | [['superearths', 'and', 'minineptunes', 'are', 'the', 'most', 'abundant', 'types', 'of', 'planets', 'among', 'the', '3500', 'confirmed', 'exoplanets', 'and', 'are', 'expected', 'to', 'exhibit', 'a', 'wide', 'variety', 'of', 'atmospheric', 'compositions', 'recent', 'transmission', 'spectra', 'of', 'superearths', 'and', 'minineptunes', 'have', 'demonstrated', 'the', 'possibility', 'that', 'exoplanets', 'have', 'hazecloud', 'layers', 'at', 'high', 'altitudes', 'in', 'their', 'atmospheres', 'however', 'the', 'compositions', 'size', 'distributions', 'and', 'optical', 'properties', 'of', 'these', 'particles', 'in', 'exoplanet', 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1,803.01707 | Neural Architectures for Open-Type Relation Argument Extraction | In this work, we introduce the task of Open-Type Relation Argument Extraction
(ORAE): Given a corpus, a query entity Q and a knowledge base relation (e.g.,"Q
authored notable work with title X"), the model has to extract an argument of
non-standard entity type (entities that cannot be extracted by a standard named
entity tagger, e.g. X: the title of a book or a work of art) from the corpus. A
distantly supervised dataset based on WikiData relations is obtained and
released to address the task.
We develop and compare a wide range of neural models for this task yielding
large improvements over a strong baseline obtained with a neural question
answering system. The impact of different sentence encoding architectures and
answer extraction methods is systematically compared. An encoder based on gated
recurrent units combined with a conditional random fields tagger gives the best
results.
| cs.CL | in this work we introduce the task of opentype relation argument extraction orae given a corpus a query entity q and a knowledge base relation egq authored notable work with title x the model has to extract an argument of nonstandard entity type entities that cannot be extracted by a standard named entity tagger eg x the title of a book or a work of art from the corpus a distantly supervised dataset based on wikidata relations is obtained and released to address the task we develop and compare a wide range of neural models for this task yielding large improvements over a strong baseline obtained with a neural question answering system the impact of different sentence encoding architectures and answer extraction methods is systematically compared an encoder based on gated recurrent units combined with a conditional random fields tagger gives the best results | [['in', 'this', 'work', 'we', 'introduce', 'the', 'task', 'of', 'opentype', 'relation', 'argument', 'extraction', 'orae', 'given', 'a', 'corpus', 'a', 'query', 'entity', 'q', 'and', 'a', 'knowledge', 'base', 'relation', 'egq', 'authored', 'notable', 'work', 'with', 'title', 'x', 'the', 'model', 'has', 'to', 'extract', 'an', 'argument', 'of', 'nonstandard', 'entity', 'type', 'entities', 'that', 'can', 'not', 'be', 'extracted', 'by', 'a', 'standard', 'named', 'entity', 'tagger', 'eg', 'x', 'the', 'title', 'of', 'a', 'book', 'or', 'a', 'work', 'of', 'art', 'from', 'the', 'corpus', 'a', 'distantly', 'supervised', 'dataset', 'based', 'on', 'wikidata', 'relations', 'is', 'obtained', 'and', 'released', 'to', 'address', 'the', 'task', 'we', 'develop', 'and', 'compare', 'a', 'wide', 'range', 'of', 'neural', 'models', 'for', 'this', 'task', 'yielding', 'large', 'improvements', 'over', 'a', 'strong', 'baseline', 'obtained', 'with', 'a', 'neural', 'question', 'answering', 'system', 'the', 'impact', 'of', 'different', 'sentence', 'encoding', 'architectures', 'and', 'answer', 'extraction', 'methods', 'is', 'systematically', 'compared', 'an', 'encoder', 'based', 'on', 'gated', 'recurrent', 'units', 'combined', 'with', 'a', 'conditional', 'random', 'fields', 'tagger', 'gives', 'the', 'best', 'results']] | [-0.07937688249471585, 0.004198664210902357, -0.05767900576736306, 0.07574159031550229, -0.1480950099534132, -0.18469461853432298, 0.09001935541983956, 0.38324569140783915, -0.2662572554791425, -0.3386953230816084, 0.019980682383953844, -0.30273705331975936, -0.11512049778633501, 0.20715921834065304, -0.10460890614440743, 0.033372602226297884, 0.15558223668354706, 0.09625559631885934, -0.07665162878668487, -0.2690961943827832, 0.3469409205996707, 0.05981768467988242, 0.33786610098929526, 0.03493828207056012, 0.17039598808281572, -0.03042989768888014, -0.0760819357754269, -0.010162635181676333, -0.08830473562367433, 0.19514531868470597, 0.2946823343029625, 0.19136813422009138, 0.30323530073789223, -0.3364828746555976, -0.2020493829819623, 0.0455059420824064, 0.11057870826078497, 0.11349550024507908, -0.002300615499491318, -0.33987688710650715, 0.10075411883274644, -0.22513882765336565, 0.04634553603139299, -0.09703332004727612, 0.014373711605464488, -0.014164166659457793, -0.2581447840497737, 0.03217467465306777, 0.1576220720889978, 0.09730584055683772, -0.044459326732182274, -0.11565976634844613, 0.07530013453477705, 0.15144778488197325, 0.023874067059725196, 0.14070788547511434, 0.11164215272112132, -0.17246589543540555, -0.19570803169233225, 0.35619881124773495, -0.10888227572317012, -0.2179541989987139, 0.1631757848089377, -0.02797563298290569, -0.16237011807970703, 0.025359882009018894, 0.20993243950799528, 0.12046642207891457, -0.18486669761928873, 0.035031275243275393, -0.10536075560240776, 0.2639242252170987, 0.07886882412286711, -0.019261644115264882, 0.18778261848607322, 0.2662429306180623, -0.04919875915568899, 0.1451993405164718, -0.0783562321366716, -0.01466868887245524, -0.22487456880798432, -0.11727681182797106, -0.17962497102201613, 0.03601737919398403, -0.0742787138069488, -0.16645105312329153, 0.3916692224652572, 0.19258819284363532, 0.25297742920704713, 0.0943952832161121, 0.27911648288054364, 0.032497842671533286, 0.0895922332985694, 0.07223338850906683, 0.11669411802415172, 0.02969799766113693, 0.15208380691244752, -0.10195386559787718, 0.08473031490411558, 0.11387369602784993] |
1,803.01708 | Potentials for a multidimensional elliptic equation with one line of
degeneration and their applications to boundary value problems | Potentials play an important role in solving boundary value problems for
elliptic equations. In the middle of the last century, a potential theory was
constructed for a two-dimensional elliptic equation with one singular
coefficient. In the study of potentials, the properties of the fundamental
solutions of the given equation are essentially used. At the present time,
fundamental solutions of a multidimensional elliptic equation with one
degeneration line are already known. In this paper, we investigate the
potentials of the double- and simple-layers for this equation, with the help of
which limit theorems are proved and integral equations containing in the kernel
the density of the above potentials are derived.
| math.AP | potentials play an important role in solving boundary value problems for elliptic equations in the middle of the last century a potential theory was constructed for a twodimensional elliptic equation with one singular coefficient in the study of potentials the properties of the fundamental solutions of the given equation are essentially used at the present time fundamental solutions of a multidimensional elliptic equation with one degeneration line are already known in this paper we investigate the potentials of the double and simplelayers for this equation with the help of which limit theorems are proved and integral equations containing in the kernel the density of the above potentials are derived | [['potentials', 'play', 'an', 'important', 'role', 'in', 'solving', 'boundary', 'value', 'problems', 'for', 'elliptic', 'equations', 'in', 'the', 'middle', 'of', 'the', 'last', 'century', 'a', 'potential', 'theory', 'was', 'constructed', 'for', 'a', 'twodimensional', 'elliptic', 'equation', 'with', 'one', 'singular', 'coefficient', 'in', 'the', 'study', 'of', 'potentials', 'the', 'properties', 'of', 'the', 'fundamental', 'solutions', 'of', 'the', 'given', 'equation', 'are', 'essentially', 'used', 'at', 'the', 'present', 'time', 'fundamental', 'solutions', 'of', 'a', 'multidimensional', 'elliptic', 'equation', 'with', 'one', 'degeneration', 'line', 'are', 'already', 'known', 'in', 'this', 'paper', 'we', 'investigate', 'the', 'potentials', 'of', 'the', 'double', 'and', 'simplelayers', 'for', 'this', 'equation', 'with', 'the', 'help', 'of', 'which', 'limit', 'theorems', 'are', 'proved', 'and', 'integral', 'equations', 'containing', 'in', 'the', 'kernel', 'the', 'density', 'of', 'the', 'above', 'potentials', 'are', 'derived']] | [-0.1305966692485122, 0.041154178477208245, -0.10145167100536465, 0.04614523453939775, -0.027985770248859707, -0.11771003178027631, -0.05736575462193556, 0.27118762602374236, -0.28666125475084064, -0.25585338859646406, 0.13476914840780577, -0.3095495881409281, -0.14433903680010526, 0.2295616448175645, -0.014372095763165917, 0.09748192897273435, 0.057442816950949944, 0.0844478856737691, -0.08535832999688056, -0.2444066972454527, 0.3958465087581081, -0.026393289953746176, 0.20012470119184367, 0.07112834850947063, 0.1033114214833067, -0.00960609230161127, -0.006820856140823, -0.012754986209242983, -0.16271139695567804, 0.14902865743971672, 0.26738686578486254, 0.003535538224847793, 0.26739185451771375, -0.4217574944616192, -0.235756745674061, 0.11399517284331119, 0.12172413697569734, 0.0916208652725564, -0.059591550604198816, -0.229101342925181, 0.06046178455667191, -0.08920394136846342, -0.25703721321446615, -0.014237247142268138, 0.02742366008977923, 0.09437154425540939, -0.24108799534884315, 0.12264384329103416, 0.04673325908542783, 0.027060585516867124, -0.12914727027614223, -0.11933852341112301, 0.0007019619741994473, 0.10641306087685128, 0.030413333956083213, -0.00034542908866165415, 0.007601565810748273, -0.190624012228067, -0.0854065953279604, 0.3883832358621509, -0.06901843733740626, -0.22846188627321412, 0.11792196296974672, -0.1228623009325626, -0.13236372314686715, 0.11229237862776413, 0.16136098225790732, 0.1746998151195132, -0.1667527564180394, 0.14579706232999107, -0.03279550151071615, 0.09616513284250956, 0.09016933535329169, -0.030732021692933306, 0.15371578278158, 0.1323078694253194, 0.04057239838530896, 0.12618358436264787, -0.013428824990384143, -0.15810903012580066, -0.33926028244335343, -0.1655946751901259, -0.12110651306445813, 0.06996332340754129, -0.08576876963289343, -0.2033466985179715, 0.4084906224851255, 0.10924475934114997, 0.17751923541503925, -0.0033783152585211036, 0.21806868990124376, 0.24660115278998596, 0.044681304789803644, 0.05286492004179982, 0.2471249035766555, 0.1974815368583357, 0.1295932155055063, -0.19090013607907436, 0.01912014088076022, 0.1618678509537993] |
1,803.01709 | On the Use of Computational Paths in Path Spaces of Homotopy Type Theory | The treatment of equality as a type in type theory gives rise to an
interesting type-theoretic structure known as `identity type'. The idea is
that, given terms $a,b$ of a type $A$, one may form the type $Id_{A}(a,b)$,
whose elements are proofs that $a$ and $b$ are equal elements of type $A$. A
term of this type, $p : Id_{A}(a,b)$, makes up for the grounds (or proof) that
establishes that $a$ is indeed equal to $b$. Based on that, a proof of equality
can be seen as a sequence of substitutions and rewrites, also known as a
`computational path'. One interesting fact is that it is possible to rewrite
computational paths using a set of reduction rules arising from an analysis of
redundancies in paths. These rules were mapped by De Oliveira in 1994 in a term
rewrite system known as $LND_{EQ}-TRS$. Here we use computational paths and
this term rewrite system to work with path spaces. In homotopy type theory, the
main technique used to define path spaces is the code-encode-decode approach.
Our objective is to propose an alternative approach based on the theory of
computational paths. We believe this new approach is simpler and more
straightforward than the code-encode-decode one. We then use our approach to
obtain two important results of homotopy type theory: the construction of the
path space of the naturals and the calculation of the fundamental group of the
circle.
| cs.LO | the treatment of equality as a type in type theory gives rise to an interesting typetheoretic structure known as identity type the idea is that given terms ab of a type a one may form the type id_aab whose elements are proofs that a and b are equal elements of type a a term of this type p id_aab makes up for the grounds or proof that establishes that a is indeed equal to b based on that a proof of equality can be seen as a sequence of substitutions and rewrites also known as a computational path one interesting fact is that it is possible to rewrite computational paths using a set of reduction rules arising from an analysis of redundancies in paths these rules were mapped by de oliveira in 1994 in a term rewrite system known as lnd_eqtrs here we use computational paths and this term rewrite system to work with path spaces in homotopy type theory the main technique used to define path spaces is the codeencodedecode approach our objective is to propose an alternative approach based on the theory of computational paths we believe this new approach is simpler and more straightforward than the codeencodedecode one we then use our approach to obtain two important results of homotopy type theory the construction of the path space of the naturals and the calculation of the fundamental group of the circle | [['the', 'treatment', 'of', 'equality', 'as', 'a', 'type', 'in', 'type', 'theory', 'gives', 'rise', 'to', 'an', 'interesting', 'typetheoretic', 'structure', 'known', 'as', 'identity', 'type', 'the', 'idea', 'is', 'that', 'given', 'terms', 'ab', 'of', 'a', 'type', 'a', 'one', 'may', 'form', 'the', 'type', 'id_aab', 'whose', 'elements', 'are', 'proofs', 'that', 'a', 'and', 'b', 'are', 'equal', 'elements', 'of', 'type', 'a', 'a', 'term', 'of', 'this', 'type', 'p', 'id_aab', 'makes', 'up', 'for', 'the', 'grounds', 'or', 'proof', 'that', 'establishes', 'that', 'a', 'is', 'indeed', 'equal', 'to', 'b', 'based', 'on', 'that', 'a', 'proof', 'of', 'equality', 'can', 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1,803.0171 | Diffuse to fuse EEG spectra -- intrinsic geometry of sleep dynamics for
classification | We propose a novel algorithm for sleep dynamics visualization and automatic
annotation by applying diffusion geometry based sensor fusion algorithm to fuse
spectral information from two electroencephalograms (EEG). The diffusion
geometry approach helps organize the nonlinear dynamical structure hidden in
the EEG signal. The visualization is achieved by the nonlinear dimension
reduction capability of the chosen diffusion geometry algorithms. For the
automatic annotation purpose, the {support vector machine} is trained to
predict the sleep stage. The prediction performance is validated on a publicly
available benchmark database, Physionet Sleep-EDF [extended] SC$^*$ {(SC =
Sleep Cassette)} and ST$^*$ {(ST = Sleep Telemetry)}, with the
leave-one-subject-out cross validation. When we have a single EEG channel
(Fpz-Cz), the overall accuracy, macro F1 and Cohen's kappa achieve
$82.72\%$,$75.91\%$ and $76.1\%$ respectively in Sleep-EDF SC$^*$ and
$78.63\%$, $73.58\%$ and $69.48\%$ in Sleep-EDF ST$^*$. This performance is
compatible {with} the state-of-the-art results. When we have two EEG channels
(Fpz-Cz and Pz-Oz), the overall accuracy, macro F1 and Cohen's kappa achieve
$84.44\%$,$78.25\%$ and $78.36\%$ respectively in Sleep-EDF SC$^*$ and
$79.05\%$, $74.73\%$ and $70.31\%$ in Sleep-EDF ST$^*$. The results suggest the
potential of the proposed algorithm in practical applications.
| eess.SP physics.data-an stat.AP | we propose a novel algorithm for sleep dynamics visualization and automatic annotation by applying diffusion geometry based sensor fusion algorithm to fuse spectral information from two electroencephalograms eeg the diffusion geometry approach helps organize the nonlinear dynamical structure hidden in the eeg signal the visualization is achieved by the nonlinear dimension reduction capability of the chosen diffusion geometry algorithms for the automatic annotation purpose the support vector machine is trained to predict the sleep stage the prediction performance is validated on a publicly available benchmark database physionet sleepedf extended sc sc sleep cassette and st st sleep telemetry with the leaveonesubjectout cross validation when we have a single eeg channel fpzcz the overall accuracy macro f1 and cohens kappa achieve 82727591 and 761 respectively in sleepedf sc and 7863 7358 and 6948 in sleepedf st this performance is compatible with the stateoftheart results when we have two eeg channels fpzcz and pzoz the overall accuracy macro f1 and cohens kappa achieve 84447825 and 7836 respectively in sleepedf sc and 7905 7473 and 7031 in sleepedf st the results suggest the potential of the proposed algorithm in practical applications | [['we', 'propose', 'a', 'novel', 'algorithm', 'for', 'sleep', 'dynamics', 'visualization', 'and', 'automatic', 'annotation', 'by', 'applying', 'diffusion', 'geometry', 'based', 'sensor', 'fusion', 'algorithm', 'to', 'fuse', 'spectral', 'information', 'from', 'two', 'electroencephalograms', 'eeg', 'the', 'diffusion', 'geometry', 'approach', 'helps', 'organize', 'the', 'nonlinear', 'dynamical', 'structure', 'hidden', 'in', 'the', 'eeg', 'signal', 'the', 'visualization', 'is', 'achieved', 'by', 'the', 'nonlinear', 'dimension', 'reduction', 'capability', 'of', 'the', 'chosen', 'diffusion', 'geometry', 'algorithms', 'for', 'the', 'automatic', 'annotation', 'purpose', 'the', 'support', 'vector', 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1,803.01711 | Resampling Forgery Detection Using Deep Learning and A-Contrario
Analysis | The amount of digital imagery recorded has recently grown exponentially, and
with the advancement of software, such as Photoshop or Gimp, it has become
easier to manipulate images. However, most images on the internet have not been
manipulated and any automated manipulation detection algorithm must carefully
control the false alarm rate. In this paper we discuss a method to
automatically detect local resampling using deep learning while controlling the
false alarm rate using a-contrario analysis. The automated procedure consists
of three primary steps. First, resampling features are calculated for image
blocks. A deep learning classifier is then used to generate a heatmap that
indicates if the image block has been resampled. We expect some of these blocks
to be falsely identified as resampled. We use a-contrario hypothesis testing to
both identify if the patterns of the manipulated blocks indicate if the image
has been tampered with and to localize the manipulation. We demonstrate that
this strategy is effective in indicating if an image has been manipulated and
localizing the manipulations.
| cs.CV | the amount of digital imagery recorded has recently grown exponentially and with the advancement of software such as photoshop or gimp it has become easier to manipulate images however most images on the internet have not been manipulated and any automated manipulation detection algorithm must carefully control the false alarm rate in this paper we discuss a method to automatically detect local resampling using deep learning while controlling the false alarm rate using acontrario analysis the automated procedure consists of three primary steps first resampling features are calculated for image blocks a deep learning classifier is then used to generate a heatmap that indicates if the image block has been resampled we expect some of these blocks to be falsely identified as resampled we use acontrario hypothesis testing to both identify if the patterns of the manipulated blocks indicate if the image has been tampered with and to localize the manipulation we demonstrate that this strategy is effective in indicating if an image has been manipulated and localizing the manipulations | [['the', 'amount', 'of', 'digital', 'imagery', 'recorded', 'has', 'recently', 'grown', 'exponentially', 'and', 'with', 'the', 'advancement', 'of', 'software', 'such', 'as', 'photoshop', 'or', 'gimp', 'it', 'has', 'become', 'easier', 'to', 'manipulate', 'images', 'however', 'most', 'images', 'on', 'the', 'internet', 'have', 'not', 'been', 'manipulated', 'and', 'any', 'automated', 'manipulation', 'detection', 'algorithm', 'must', 'carefully', 'control', 'the', 'false', 'alarm', 'rate', 'in', 'this', 'paper', 'we', 'discuss', 'a', 'method', 'to', 'automatically', 'detect', 'local', 'resampling', 'using', 'deep', 'learning', 'while', 'controlling', 'the', 'false', 'alarm', 'rate', 'using', 'acontrario', 'analysis', 'the', 'automated', 'procedure', 'consists', 'of', 'three', 'primary', 'steps', 'first', 'resampling', 'features', 'are', 'calculated', 'for', 'image', 'blocks', 'a', 'deep', 'learning', 'classifier', 'is', 'then', 'used', 'to', 'generate', 'a', 'heatmap', 'that', 'indicates', 'if', 'the', 'image', 'block', 'has', 'been', 'resampled', 'we', 'expect', 'some', 'of', 'these', 'blocks', 'to', 'be', 'falsely', 'identified', 'as', 'resampled', 'we', 'use', 'acontrario', 'hypothesis', 'testing', 'to', 'both', 'identify', 'if', 'the', 'patterns', 'of', 'the', 'manipulated', 'blocks', 'indicate', 'if', 'the', 'image', 'has', 'been', 'tampered', 'with', 'and', 'to', 'localize', 'the', 'manipulation', 'we', 'demonstrate', 'that', 'this', 'strategy', 'is', 'effective', 'in', 'indicating', 'if', 'an', 'image', 'has', 'been', 'manipulated', 'and', 'localizing', 'the', 'manipulations']] | [-0.05407042292182964, 0.04038471368711565, -0.11221199963132249, 0.038184268553467356, -0.07715328498606515, -0.1887842516743523, 0.02843167608781882, 0.4544070062830168, -0.2623836283031029, -0.3313746889340965, 0.1515993208199849, -0.26823386781136777, -0.16550033965819133, 0.2000276532759445, -0.10930499251219718, 0.0862677930505015, 0.0654667887288858, 0.04286112843410057, -0.010127088961663129, -0.3049229533144492, 0.2473017304943984, 0.031315296293606104, 0.3252928943756749, 0.003726421030895675, 0.12253528512904749, 0.004919223827720784, -0.06105847513176473, 0.002168573162463658, -0.028900107202164637, 0.12141943200652296, 0.29847007386441177, 0.2104145123390481, 0.3280738880200421, -0.4181606221724959, -0.21209684022537925, 0.13574435326325543, 0.20292201278292957, 0.15168187634279842, -0.10026966705575914, -0.3339774420731427, 0.17112953071756398, -0.14171108258819645, -0.04835519232403706, -0.13517668856040793, 0.0190522367182626, -0.012869509820388082, -0.2617940680918229, -0.005677751871681882, 0.016705570057691896, 0.0648141177247881, -0.027248174101388193, -0.05209020191310521, -0.019170910229577738, 0.19485909641473828, 0.05053926275440437, 0.056102669019909464, 0.17486176095245515, -0.13825332396766446, -0.11800108691951369, 0.31953575488399055, -0.03179625855101382, -0.18606024915215505, 0.1820726752281189, -0.06234746031422059, -0.14709914283114758, 0.1445702811881133, 0.18266892398378867, 0.12188258196829874, -0.17005682862500715, 0.016493792360073284, -0.0013421241687062908, 0.2127284161020618, 0.10277392713298254, -0.013398537447895197, 0.23517229223404737, 0.18523814754889292, 0.02923160619650255, 0.15335235214614146, -0.19125811907955828, 0.017486761266584782, -0.20567389869076363, -0.16401442318113849, -0.2131718141875942, -0.007462229363890776, -0.017782079069258865, -0.1372398819281336, 0.37406551923383685, 0.2232030324747457, 0.1851847102331436, 0.03216144219040871, 0.3298503548892982, 0.08526147671304095, 0.16489047045162059, 0.06702849420801024, 0.23057744523102883, 0.019369821900310103, 0.057728273031192226, -0.15264501470031547, 0.1308999158332453, 0.053421072949491] |
1,803.01712 | Thermodynamics in $f(\mathcal{G},T)$ Gravity | This paper explores the non-equilibrium behavior of thermodynamics at the
apparent horizon of isotropic and homogeneous universe model in
$f(\mathcal{G},T)$ gravity ($\mathcal{G}$ and $T$ represent the Gauss-Bonnet
invariant and trace of the energy-momentum tensor, respectively). We construct
the corresponding field equations and analyze the first as well as generalized
second law of thermodynamics in this scenario. It is found that an auxiliary
term corresponding to entropy production appears due to the non-equilibrium
picture of thermodynamics in first law. The universal condition for the
validity of generalized second law of thermodynamics is also obtained. Finally,
we check the validity of generalized second law of thermodynamics for the
reconstructed $f(\mathcal{G},T)$ models (de Sitter and power-law solutions). We
conclude that this law holds for suitable choices of free parameters.
| gr-qc | this paper explores the nonequilibrium behavior of thermodynamics at the apparent horizon of isotropic and homogeneous universe model in fmathcalgt gravity mathcalg and t represent the gaussbonnet invariant and trace of the energymomentum tensor respectively we construct the corresponding field equations and analyze the first as well as generalized second law of thermodynamics in this scenario it is found that an auxiliary term corresponding to entropy production appears due to the nonequilibrium picture of thermodynamics in first law the universal condition for the validity of generalized second law of thermodynamics is also obtained finally we check the validity of generalized second law of thermodynamics for the reconstructed fmathcalgt models de sitter and powerlaw solutions we conclude that this law holds for suitable choices of free parameters | [['this', 'paper', 'explores', 'the', 'nonequilibrium', 'behavior', 'of', 'thermodynamics', 'at', 'the', 'apparent', 'horizon', 'of', 'isotropic', 'and', 'homogeneous', 'universe', 'model', 'in', 'fmathcalgt', 'gravity', 'mathcalg', 'and', 't', 'represent', 'the', 'gaussbonnet', 'invariant', 'and', 'trace', 'of', 'the', 'energymomentum', 'tensor', 'respectively', 'we', 'construct', 'the', 'corresponding', 'field', 'equations', 'and', 'analyze', 'the', 'first', 'as', 'well', 'as', 'generalized', 'second', 'law', 'of', 'thermodynamics', 'in', 'this', 'scenario', 'it', 'is', 'found', 'that', 'an', 'auxiliary', 'term', 'corresponding', 'to', 'entropy', 'production', 'appears', 'due', 'to', 'the', 'nonequilibrium', 'picture', 'of', 'thermodynamics', 'in', 'first', 'law', 'the', 'universal', 'condition', 'for', 'the', 'validity', 'of', 'generalized', 'second', 'law', 'of', 'thermodynamics', 'is', 'also', 'obtained', 'finally', 'we', 'check', 'the', 'validity', 'of', 'generalized', 'second', 'law', 'of', 'thermodynamics', 'for', 'the', 'reconstructed', 'fmathcalgt', 'models', 'de', 'sitter', 'and', 'powerlaw', 'solutions', 'we', 'conclude', 'that', 'this', 'law', 'holds', 'for', 'suitable', 'choices', 'of', 'free', 'parameters']] | [-0.12121539639072522, 0.1157398167213412, -0.13099606107506487, 0.10804781096244585, -0.057488298706991216, -0.13512051375656728, -0.005073273971137251, 0.23666580481868651, -0.2561973960079726, -0.27682230654098683, 0.050057340185582964, -0.2607234598226136, -0.11871037614487466, 0.14330283133775026, -0.04232958049535574, 0.03819432782585777, -0.0600635140491206, 0.07128424361155974, -0.06311261970623737, -0.20980213538536596, 0.37375640380565844, 0.08251282510011354, 0.2951104312706443, 0.06303337644249762, 0.1389570908975743, -0.037811528617841386, -0.026601923945164013, 0.06814770787096923, -0.20579373022406972, 0.05708816662543483, 0.18553137007328918, 0.09539488632054556, 0.20460973843370403, -0.37025938129850794, -0.2149716997271984, 0.10441929819284096, 0.08820380483724413, 0.0964307180413651, -0.01939351824186151, -0.2276321390896873, 0.0691799425653049, -0.22422548982920865, -0.2194084721129565, -0.08886382913197084, 0.03639668209703698, -0.026251948551304402, -0.23127231850022717, 0.1870518375152541, 0.09836951015786903, -0.01466791038881869, -0.13841423326696728, -0.02084348771891128, -0.01795159771646713, 0.09242790802160189, 0.08681595713613437, -0.02435235585093439, 0.09475768342362864, -0.12476691784566298, -0.08519225286888993, 0.3940414120664909, -0.09976178912736017, -0.1695372230292017, 0.10920010691523434, -0.17034748915235498, -0.19323268710886912, 0.008164645026674465, 0.11410177979684834, 0.15762610974649313, -0.19255707920750692, 0.15441261136688159, 0.009261047375196266, 0.13347559559550728, 0.08428756437367863, 0.0035482822133908196, 0.22249327943704666, 0.09404824185554707, 0.0029453421750712016, 0.20632941008264583, -0.004907830821586743, -0.18074448123603823, -0.4349320251568561, -0.21398011633446293, -0.18877064436350743, 0.09925707301405805, -0.1557481656406982, -0.17347776681362165, 0.3267271219575334, 0.13052094956889512, 0.12658946954373582, 0.11138979319412823, 0.24007214836421467, 0.1594934407085742, 0.004221904645895674, 0.07436854176459805, 0.26459504172412884, 0.16519257648374944, 0.16293572515271426, -0.23659560847394576, 0.0166414811549383, 0.11780083579536055] |
1,803.01713 | The Cauchy problem for a degenerate hyperbolic equation of the second
kind | In this article the unique solution of the Cauchy problem is founded by the
Riemann method. Some relations for given here confluent hypergeometric
functions of two and three variables are used.
| math.AP | in this article the unique solution of the cauchy problem is founded by the riemann method some relations for given here confluent hypergeometric functions of two and three variables are used | [['in', 'this', 'article', 'the', 'unique', 'solution', 'of', 'the', 'cauchy', 'problem', 'is', 'founded', 'by', 'the', 'riemann', 'method', 'some', 'relations', 'for', 'given', 'here', 'confluent', 'hypergeometric', 'functions', 'of', 'two', 'and', 'three', 'variables', 'are', 'used']] | [-0.13587018120433053, 0.03655624161324193, -0.09163505197202246, 0.09150506592085285, -0.09452896709403684, -0.10280433699728982, -0.0046589912906769785, 0.29527513754944645, -0.3315592749464896, -0.22148508602573025, 0.1484685271411323, -0.29361174327711903, -0.23733098720831255, 0.25142697647454276, -0.03064404360409225, 0.16279713421939843, 0.022818074035908905, 0.0026952133423859075, -0.12120934240820427, -0.2982944959113675, 0.4406847048911356, -0.0974020297008176, 0.2230928266991771, 0.04048069542454135, 0.13201742496101126, -0.04365575684595012, -0.07175490090383156, 0.008948240308992324, -0.1296535319002766, 0.12464676205173976, 0.2795330374126112, 0.19998108349259822, 0.30263953355531537, -0.4264222235088387, -0.1192665011772225, 0.09530292361253692, 0.16040486549477903, -0.014532881158013497, -0.017726966360163306, -0.21437650543427275, 0.015990613989772334, -0.14474397885703272, -0.18375786948167988, -0.047956514202298656, -0.0018359977721927627, 0.1051837133333808, -0.21621346098160552, 0.10075561029295768, 0.05774816268333985, 0.030592911185756806, -0.11933761346904982, -0.14659695822985902, 0.04788134275605121, 0.08768721004467338, 0.09977139255422499, 0.02492802713306681, -0.03445561497562354, -0.1246356457216485, -0.08425822817990856, 0.3762764661242404, 0.012912992147668716, -0.34338814356634695, 0.1031674706647473, -0.11351146956064528, -0.18746355835408454, 0.08040913660079241, 0.10463125027355648, 0.18634234056357415, -0.2541497305876786, 0.09760757714262112, -0.10360504353358861, 0.07933365631728403, 0.1408444218067152, -0.04147321292229237, 0.17119943592396955, 0.11449583499662337, -0.015910078245665756, 0.14998119480667577, -0.004943662293014988, -0.077093351422058, -0.37944467774321955, -0.22507562962991576, -0.19881240057434152, 0.012923091439710509, -0.08495503654956983, -0.20685589517797193, 0.4483614655271653, 0.12362223563175048, 0.0900933726300155, 0.11791024651498563, 0.19268546631980327, 0.19383047593216743, -0.028572028262480613, 0.02545104528807344, 0.15375170813621802, 0.16047099180098984, 0.08049498438354462, -0.15561421024763294, 0.04992055059260418, 0.18326348619114968] |
1,803.01714 | A Fourier-based Solving Approach for the Transport of Intensity Equation
without Typical Restrictions | The Transport-of-Intensity equation (TIE) has been proven as a standard
approach for phase retrieval. Some high efficiency solving methods for the TIE,
extensively used in many works, are based on a Fourier-Transform (FT). However,
to solve the TIE by these methods several assumptions have to be made. A common
assumption is that there are no zero values for the intensity distribution
allowed. The two most widespread Fourier-based approaches have further
restrictions. One of these requires the uniformity of the intensity
distribution and the other assumes the collinearity of the intensity and phase
gradients. In this paper, we present an approach, which does not need any of
these assumptions and consequently extends the application domain of the TIE.
| physics.optics | the transportofintensity equation tie has been proven as a standard approach for phase retrieval some high efficiency solving methods for the tie extensively used in many works are based on a fouriertransform ft however to solve the tie by these methods several assumptions have to be made a common assumption is that there are no zero values for the intensity distribution allowed the two most widespread fourierbased approaches have further restrictions one of these requires the uniformity of the intensity distribution and the other assumes the collinearity of the intensity and phase gradients in this paper we present an approach which does not need any of these assumptions and consequently extends the application domain of the tie | [['the', 'transportofintensity', 'equation', 'tie', 'has', 'been', 'proven', 'as', 'a', 'standard', 'approach', 'for', 'phase', 'retrieval', 'some', 'high', 'efficiency', 'solving', 'methods', 'for', 'the', 'tie', 'extensively', 'used', 'in', 'many', 'works', 'are', 'based', 'on', 'a', 'fouriertransform', 'ft', 'however', 'to', 'solve', 'the', 'tie', 'by', 'these', 'methods', 'several', 'assumptions', 'have', 'to', 'be', 'made', 'a', 'common', 'assumption', 'is', 'that', 'there', 'are', 'no', 'zero', 'values', 'for', 'the', 'intensity', 'distribution', 'allowed', 'the', 'two', 'most', 'widespread', 'fourierbased', 'approaches', 'have', 'further', 'restrictions', 'one', 'of', 'these', 'requires', 'the', 'uniformity', 'of', 'the', 'intensity', 'distribution', 'and', 'the', 'other', 'assumes', 'the', 'collinearity', 'of', 'the', 'intensity', 'and', 'phase', 'gradients', 'in', 'this', 'paper', 'we', 'present', 'an', 'approach', 'which', 'does', 'not', 'need', 'any', 'of', 'these', 'assumptions', 'and', 'consequently', 'extends', 'the', 'application', 'domain', 'of', 'the', 'tie']] | [-0.06377196849252169, 0.0379473299364426, -0.12728308116555467, 0.06216337457776834, -0.09447166110034713, -0.1285894661465198, 0.0184335282110235, 0.428860740775927, -0.24525899538455898, -0.3018537209982164, 0.14061287984164417, -0.2467551488055187, -0.13236723868892744, 0.20617826230441913, -0.058700623595689096, 0.09569456250793361, 0.029334381485405642, 0.046650784090161324, -0.07372283936143877, -0.251989975086071, 0.34468743627349663, -0.00017761213617383415, 0.3228107813395496, 0.059708011782385856, 0.09355790431809743, -0.01834347604527178, -0.04266652916199886, 0.035911348608569205, -0.10564316318274135, 0.1253327607559279, 0.229976054885958, 0.1621868030514377, 0.3068860755899014, -0.43489369907631326, -0.2727740123294867, 0.1413524289830373, 0.1376507511545514, 0.09631791317130989, -0.06782952618673763, -0.21578524005400318, 0.08287664198786275, -0.1167676852713538, -0.09600374584571801, -0.08479876168326944, -0.009424094699768938, 0.05571102379904821, -0.2744245248623829, 0.019520840484203182, 0.09375923066439791, 0.04889022485695334, -0.03482822908892527, -0.1306596708117833, 0.03265118433767532, 0.13037226632890156, 0.08715030871546613, 0.03165184660679382, 0.06749180688435195, -0.14591748767102566, -0.1055257653650374, 0.37654597223059744, -0.04926734751201848, -0.23874475073037493, 0.21734097367252073, -0.11611397597843255, -0.17224358696426845, 0.11913503860083656, 0.08108189179060551, 0.1296335455491884, -0.15644422006339598, 0.09700186579522048, -0.014323173214195885, 0.17796466873787567, 0.07215464538615993, 0.02564464772068378, 0.1509091998768859, 0.12037599861470616, 0.07213107252475591, 0.06784585197446232, -0.12889321403713244, -0.09033017501266849, -0.2506261622835683, -0.13733107761408275, -0.17441186185082436, -0.01493559115251395, -0.07548653622892681, -0.14235647931758666, 0.38045706283141917, 0.2202840113423319, 0.19880054601762667, 0.01946717991024001, 0.3011799666465411, 0.14539463644047293, 0.0902458672480395, 0.04078160959065088, 0.2771218923434444, 0.11282028933851701, 0.10348212925028692, -0.161816014490353, 0.13070177666755378, 0.004835767046604146] |
1,803.01715 | Constant-roll approach to non-canonical inflation | The scenario of constant-roll inflation is studied where the inflaton is a
scalar field with modified kinetic term, known as non-canonical scalar field.
This modification leads to some changes in the slow-roll parameters, and also
by taking the second slow-roll parameter as a constant, the differential
equation for the Hubble parameter is altered as well. Assuming $\eta=\beta$ and
reconsidering the perturbation equations makes it clear that there should be
some modified terms in the scalar spectral index and amplitude of scalar
perturbations. After finding the exact solution, the main perturbation
parameters are obtained at the horizon crossing time. Then by plotting the
$r-n_s$ diagram it is shown that for some specific values of $\beta$ one could
find a good agreement with observational data. In addition, considering the
attractor behavior of the model leads to this result that this feature could be
appropriately satisfied.
| astro-ph.CO hep-ph | the scenario of constantroll inflation is studied where the inflaton is a scalar field with modified kinetic term known as noncanonical scalar field this modification leads to some changes in the slowroll parameters and also by taking the second slowroll parameter as a constant the differential equation for the hubble parameter is altered as well assuming etabeta and reconsidering the perturbation equations makes it clear that there should be some modified terms in the scalar spectral index and amplitude of scalar perturbations after finding the exact solution the main perturbation parameters are obtained at the horizon crossing time then by plotting the rn_s diagram it is shown that for some specific values of beta one could find a good agreement with observational data in addition considering the attractor behavior of the model leads to this result that this feature could be appropriately satisfied | [['the', 'scenario', 'of', 'constantroll', 'inflation', 'is', 'studied', 'where', 'the', 'inflaton', 'is', 'a', 'scalar', 'field', 'with', 'modified', 'kinetic', 'term', 'known', 'as', 'noncanonical', 'scalar', 'field', 'this', 'modification', 'leads', 'to', 'some', 'changes', 'in', 'the', 'slowroll', 'parameters', 'and', 'also', 'by', 'taking', 'the', 'second', 'slowroll', 'parameter', 'as', 'a', 'constant', 'the', 'differential', 'equation', 'for', 'the', 'hubble', 'parameter', 'is', 'altered', 'as', 'well', 'assuming', 'etabeta', 'and', 'reconsidering', 'the', 'perturbation', 'equations', 'makes', 'it', 'clear', 'that', 'there', 'should', 'be', 'some', 'modified', 'terms', 'in', 'the', 'scalar', 'spectral', 'index', 'and', 'amplitude', 'of', 'scalar', 'perturbations', 'after', 'finding', 'the', 'exact', 'solution', 'the', 'main', 'perturbation', 'parameters', 'are', 'obtained', 'at', 'the', 'horizon', 'crossing', 'time', 'then', 'by', 'plotting', 'the', 'rn_s', 'diagram', 'it', 'is', 'shown', 'that', 'for', 'some', 'specific', 'values', 'of', 'beta', 'one', 'could', 'find', 'a', 'good', 'agreement', 'with', 'observational', 'data', 'in', 'addition', 'considering', 'the', 'attractor', 'behavior', 'of', 'the', 'model', 'leads', 'to', 'this', 'result', 'that', 'this', 'feature', 'could', 'be', 'appropriately', 'satisfied']] | [-0.15819207516508701, 0.14704427658252314, -0.11245587808867051, 0.12015634788688875, -0.10890729466623718, -0.16328938610025379, -0.016140112302489053, 0.29190981967873136, -0.24830444188092501, -0.32319918266353265, 0.09198235342538141, -0.2227257297072612, -0.1555124589596206, 0.1757777138747616, -0.027569450982387216, 0.03223567726149988, 0.04812925971362372, 0.08481428422637179, -0.0438849578732887, -0.24189181145096958, 0.3467900065875704, 0.09606248291838966, 0.18439750845296451, 0.0033007296536799887, 0.06372364093697118, -0.04693007311442683, -0.00293909367764185, 0.04641515037215407, -0.1687840061240422, 0.009826058269001651, 0.1925085392606594, 0.09818342087370618, 0.2266047315567102, -0.3668104017179617, -0.2596311925739889, 0.13081068068850968, 0.15195799957055756, 0.11404976906897632, -0.03926330453939211, -0.2515682174470013, 0.06479675326378308, -0.14473647821914326, -0.15704058204830007, -0.08178160839359945, 0.012521082760018468, -0.017105064276133626, -0.3248500478409664, 0.10494478212642437, 0.00439181587491578, -0.027916859527131622, -0.08197607288242016, -0.07448617658827086, -0.0502860210032504, 0.055233839007330615, 0.14607378594252662, 0.0620403767524051, 0.10757200437283117, -0.15093812024266734, -0.012425033533027475, 0.3861534603031903, -0.14466370143730875, -0.18383551885629676, 0.0758375595061397, -0.133210897373534, -0.13004783817737456, 0.09155183040510706, 0.051264759756519764, 0.08418230152636452, -0.14706186511107838, 0.1560116676063585, 0.02615794573228439, 0.15912653917682842, 0.0984038462514766, 0.003615347113864887, 0.20450556398251316, 0.10770518866590631, 0.02921085074727594, 0.1330955915438326, -0.028485167528909276, -0.1455238537541525, -0.3826544672827905, -0.1130667810261079, -0.1573546644477305, 0.028748850712001745, -0.1891209199319759, -0.163263439476895, 0.4226027283765061, 0.12343736949000052, 0.22503402071650808, 0.04255835863459908, 0.2799750927599593, 0.195689740398092, 0.060983755050266396, 0.04522610908131522, 0.3224875985341012, 0.10781092807473483, 0.13486270797701264, -0.2218895055483584, 0.04035863009753676, 0.045402522946537384] |
1,803.01716 | The bungee set in quasiregular dynamics | In complex dynamics, the bungee set is defined as the set points whose orbit
is neither bounded nor tends to infinity. In this paper we study, for the first
time, the bungee set of a quasiregular map of transcendental type. We show that
this set is infinite, and shares many properties with the bungee set of a
transcendental entire function. By way of contrast, we give examples of novel
properties of this set in the quasiregular setting. In particular, we give an
example of a quasiconformal map of the plane with a non-empty bungee set; this
behaviour is impossible for an analytic homeomorphism.
| math.DS math.CV | in complex dynamics the bungee set is defined as the set points whose orbit is neither bounded nor tends to infinity in this paper we study for the first time the bungee set of a quasiregular map of transcendental type we show that this set is infinite and shares many properties with the bungee set of a transcendental entire function by way of contrast we give examples of novel properties of this set in the quasiregular setting in particular we give an example of a quasiconformal map of the plane with a nonempty bungee set this behaviour is impossible for an analytic homeomorphism | [['in', 'complex', 'dynamics', 'the', 'bungee', 'set', 'is', 'defined', 'as', 'the', 'set', 'points', 'whose', 'orbit', 'is', 'neither', 'bounded', 'nor', 'tends', 'to', 'infinity', 'in', 'this', 'paper', 'we', 'study', 'for', 'the', 'first', 'time', 'the', 'bungee', 'set', 'of', 'a', 'quasiregular', 'map', 'of', 'transcendental', 'type', 'we', 'show', 'that', 'this', 'set', 'is', 'infinite', 'and', 'shares', 'many', 'properties', 'with', 'the', 'bungee', 'set', 'of', 'a', 'transcendental', 'entire', 'function', 'by', 'way', 'of', 'contrast', 'we', 'give', 'examples', 'of', 'novel', 'properties', 'of', 'this', 'set', 'in', 'the', 'quasiregular', 'setting', 'in', 'particular', 'we', 'give', 'an', 'example', 'of', 'a', 'quasiconformal', 'map', 'of', 'the', 'plane', 'with', 'a', 'nonempty', 'bungee', 'set', 'this', 'behaviour', 'is', 'impossible', 'for', 'an', 'analytic', 'homeomorphism']] | [-0.158331849512834, 0.035568429928248095, -0.08602733572592362, 0.03085370273193688, -0.07945348557482645, -0.040114435502915706, 0.05723293044929872, 0.32934330340511014, -0.30876543415366736, -0.20217137939287622, 0.10765948862931465, -0.289570911055051, -0.18386385142260675, 0.2296842592745766, -0.10396343069060625, 0.031250508845720476, 0.028524157564038213, 0.08018111576805416, -0.054019782190929955, -0.2356892385818426, 0.3974402800328957, -0.06322005505953888, 0.16901979564680059, 0.022328834035840718, 0.1212047043474599, -0.025065215886570513, 0.01725433465744396, 0.024543713814425237, -0.16411659406596688, 0.10288474209905032, 0.24614033594872187, 0.1564996578160999, 0.2806166889489565, -0.36482645262900776, -0.16671578690988345, 0.20652000607642373, 0.14069440701379649, 0.05134029859152523, -0.04028629260228097, -0.22890593870136056, 0.10991107408427497, -0.12139950367142853, -0.19868775691556773, -0.08210328143560192, 0.0586213652639044, 0.02371943009411464, -0.26002255736768826, -0.016033101212052467, 0.11619914871034692, 0.11556214569769438, -0.04858237984183344, -0.024914042554000048, -0.019895771809953076, 0.1308363806591957, 0.003433143819492419, 0.10038801422116608, 0.06202224493524042, -0.07188904318208038, -0.08116869797514191, 0.3719317552461786, -0.06076242285271998, -0.2474733500298366, 0.2095434675354836, -0.19462411950604575, -0.1375803439471039, 0.1194533305966015, 0.13672529012688156, 0.15828588202559543, -0.14764388832399278, 0.17476121202796174, -0.15177739821645675, 0.1453914182097877, 0.05504399857221587, 0.0017332354858879326, 0.16132535421045371, 0.15829458541363406, 0.11799519529364985, 0.20605923439764862, -0.0043866881666686924, -0.043639836814797044, -0.3753178230513936, -0.15563456812710727, -0.17909065664867935, 0.09270944030974083, -0.07485772759268779, -0.24974752845043696, 0.42588288289974036, 0.10649593997276524, 0.2446269355533482, 0.1010950503563418, 0.21814673838829532, 0.11370310824897335, -0.00996529790618032, 0.08164380850650153, 0.13889462197904737, 0.07882859159568414, 0.009142175515733876, -0.1489581164307169, 0.02485847183349497, 0.11752133362164192] |
1,803.01717 | Real class sizes | In this paper, we study the structures of finite groups using some arithmetic
conditions on the sizes of real conjugacy classes. We prove that a finite group
is solvable if the prime graph on the real class sizes of the group is
disconnected. Moreover, we show that if the sizes of all non-central real
conjugacy classes of a finite group $G$ have the same $2$-part and the Sylow
$2$-subgroup of $G$ satisfies certain condition, then $G$ is solvable.
| math.GR | in this paper we study the structures of finite groups using some arithmetic conditions on the sizes of real conjugacy classes we prove that a finite group is solvable if the prime graph on the real class sizes of the group is disconnected moreover we show that if the sizes of all noncentral real conjugacy classes of a finite group g have the same 2part and the sylow 2subgroup of g satisfies certain condition then g is solvable | [['in', 'this', 'paper', 'we', 'study', 'the', 'structures', 'of', 'finite', 'groups', 'using', 'some', 'arithmetic', 'conditions', 'on', 'the', 'sizes', 'of', 'real', 'conjugacy', 'classes', 'we', 'prove', 'that', 'a', 'finite', 'group', 'is', 'solvable', 'if', 'the', 'prime', 'graph', 'on', 'the', 'real', 'class', 'sizes', 'of', 'the', 'group', 'is', 'disconnected', 'moreover', 'we', 'show', 'that', 'if', 'the', 'sizes', 'of', 'all', 'noncentral', 'real', 'conjugacy', 'classes', 'of', 'a', 'finite', 'group', 'g', 'have', 'the', 'same', '2part', 'and', 'the', 'sylow', '2subgroup', 'of', 'g', 'satisfies', 'certain', 'condition', 'then', 'g', 'is', 'solvable']] | [-0.2063350728183137, 0.15627399078594187, -0.10625999084172341, 0.04000835459625635, -0.11417761199379292, -0.09635918679384467, -0.007783830880772513, 0.3921225376230163, -0.29972870418658626, -0.22013139458468708, 0.11342876350942951, -0.24704543257562014, -0.1286389947964404, 0.21028174901715455, -0.09210618962653172, -0.031552922210465066, 0.08337619906076445, 0.1666416523213952, -0.09253252406891149, -0.33837937280865543, 0.4010422999719874, -0.14603573606851009, 0.22955520732853657, 0.061951462824184164, 0.09457623332929917, -0.016211501042095896, 0.039456189036942445, 0.06534663468408279, -0.12976049904160064, 0.041804415884260565, 0.2649589852304556, 0.08026734499099593, 0.26979398179742603, -0.3411593959451868, -0.13828200086330375, 0.2822020333021497, 0.08910096170476232, 0.0013151571918756533, -0.04756324547223556, -0.25195215365443474, 0.2394203287191116, -0.1894516127470594, -0.13198372670329916, -0.001215726268501618, 0.11382605632146199, 0.0394387057928655, -0.22872716226638892, -0.02628973034622434, 0.07498098687770274, 0.12973518492473, -0.02806673358934812, -0.1021684130283598, -0.0042750933088171175, 0.1520834137291576, -0.016186850655895587, -0.08286021379097246, 0.07079191341733512, -0.05968900475925647, -0.08808327734303208, 0.4461440190863915, -0.017139330267524108, -0.1876885985286954, 0.15789688197680965, -0.21701263384415936, -0.24829284970959029, 0.08644956015110111, 0.1442733803907266, 0.17202654724510816, -0.022744465679025803, 0.23219501166171633, -0.22598285318758243, 0.10778222876624802, 0.053574788897560954, -0.06231334493853725, 0.04166858000919605, 0.08297628286975221, 0.1129482767264096, 0.17427079144936913, 0.0425730348409464, 0.07431707989114027, -0.3861684747135792, -0.15183999575674534, -0.20196089377919307, 0.08374715595541951, -0.14149374908223622, -0.20685869118927094, 0.4532551695473301, 0.09582786230543533, 0.12457836443224014, 0.1666331759128624, 0.18834631426785237, 0.07994264650803345, 0.08341322529416245, 0.1324489843040609, 0.0521652130607832, 0.19857393331730214, -0.15694832083625862, -0.22903387264635128, 0.0067706574918702245, 0.16097770262366304] |
1,803.01718 | Mid summable sequences: an anisotropic approach | The notion of mid $p$-summable sequences was introduced by Karn and Sinha in
2014 and recently explored and expanded by Botelho, Campos and Santos in 2017.
In this paper we design a theory of mid summable sequences in the anisotropic
setting defining a new more general space called space of mid $(q,p)$-summable
sequences. As a particular case of our results, we prove an inclusion relation
between spaces of mid summable sequences. We also define classes of operators
that deals with this new space, the mid $(q,p)$-summing operators, and prove
some important results on these classes as inclusion and coincidence theorems
and a Pietsch Domination-type theorem. It is worth to mentioning that these
abovementioned results are new even in the particular case of the mid
$p$-summable environment.
| math.FA | the notion of mid psummable sequences was introduced by karn and sinha in 2014 and recently explored and expanded by botelho campos and santos in 2017 in this paper we design a theory of mid summable sequences in the anisotropic setting defining a new more general space called space of mid qpsummable sequences as a particular case of our results we prove an inclusion relation between spaces of mid summable sequences we also define classes of operators that deals with this new space the mid qpsumming operators and prove some important results on these classes as inclusion and coincidence theorems and a pietsch dominationtype theorem it is worth to mentioning that these abovementioned results are new even in the particular case of the mid psummable environment | [['the', 'notion', 'of', 'mid', 'psummable', 'sequences', 'was', 'introduced', 'by', 'karn', 'and', 'sinha', 'in', '2014', 'and', 'recently', 'explored', 'and', 'expanded', 'by', 'botelho', 'campos', 'and', 'santos', 'in', '2017', 'in', 'this', 'paper', 'we', 'design', 'a', 'theory', 'of', 'mid', 'summable', 'sequences', 'in', 'the', 'anisotropic', 'setting', 'defining', 'a', 'new', 'more', 'general', 'space', 'called', 'space', 'of', 'mid', 'qpsummable', 'sequences', 'as', 'a', 'particular', 'case', 'of', 'our', 'results', 'we', 'prove', 'an', 'inclusion', 'relation', 'between', 'spaces', 'of', 'mid', 'summable', 'sequences', 'we', 'also', 'define', 'classes', 'of', 'operators', 'that', 'deals', 'with', 'this', 'new', 'space', 'the', 'mid', 'qpsumming', 'operators', 'and', 'prove', 'some', 'important', 'results', 'on', 'these', 'classes', 'as', 'inclusion', 'and', 'coincidence', 'theorems', 'and', 'a', 'pietsch', 'dominationtype', 'theorem', 'it', 'is', 'worth', 'to', 'mentioning', 'that', 'these', 'abovementioned', 'results', 'are', 'new', 'even', 'in', 'the', 'particular', 'case', 'of', 'the', 'mid', 'psummable', 'environment']] | [-0.09729339618887753, 0.12781267117441167, -0.0816191576719284, 0.11302880355902016, -0.027067812014371157, -0.0832076216666028, -0.001310460088774562, 0.3714017194956541, -0.26358926253393294, -0.2189364477470517, 0.12067361858393998, -0.2825922529771924, -0.20941537676751615, 0.20240929672494531, -0.18350533574819564, 0.0061717222854495045, 0.06042254041880369, -0.01593800364434719, -0.06382154201157392, -0.26715119674801824, 0.37392545814439654, 0.01272430731356144, 0.1839160608947277, 0.03725069553032517, 0.0712844762019813, 0.04141127639263868, -0.08754893776774407, 0.014961965712951495, -0.18887694357021245, 0.14672176419943572, 0.2662192957252264, 0.1177997913658619, 0.2912347524613142, -0.31948447503894567, -0.1335580122359097, 0.144796317756176, 0.08838119699805976, 0.006914527997607365, -0.033751801450853235, -0.30250233360752465, 0.1012851982191205, -0.1659440878406167, -0.1004042061381042, -0.10539196626096964, 0.07900319124758244, 0.029279849868267774, -0.282493200071156, -0.002545802472392097, 0.15463561501167714, 0.06771743167657406, -0.0759845375046134, -0.11287910324614495, 0.006258704964071512, 0.0969553084783256, 0.017316368667408825, 0.08083787864074111, -0.025618701843544842, -0.07905396315082908, -0.12259993650764227, 0.3173443292975426, -0.06625147309154272, -0.15651880010962485, 0.17439603512035684, -0.15969848015159369, -0.20792335177585483, 0.03697752448171377, 0.11075259571895003, 0.16449098047614097, -0.106320645859465, 0.16148363264324145, -0.09301517809182405, 0.08139516203850508, 0.12083274220116437, 0.0796650432483293, 0.10201318648457527, 0.10157715791556984, 0.07198489295691252, 0.14910875405557453, -0.010363020977005363, -0.03920183498924598, -0.3254570008441806, -0.17667416606470943, -0.15442909425497056, 0.03865526225231588, -0.05531207935430575, -0.13196402790397405, 0.36436981858685613, 0.1270706430785358, 0.18473132860288025, 0.06454066230729222, 0.19703302779793738, 0.08892094351816922, 0.015905148721300066, 0.06950922557339072, 0.1831754453119356, 0.14589068343117834, 0.12193763605877757, -0.0991324012465775, 0.006827609591186046, 0.12803837982192637] |
1,803.01719 | How to Start Training: The Effect of Initialization and Architecture | We identify and study two common failure modes for early training in deep
ReLU nets. For each we give a rigorous proof of when it occurs and how to avoid
it, for fully connected and residual architectures. The first failure mode,
exploding/vanishing mean activation length, can be avoided by initializing
weights from a symmetric distribution with variance 2/fan-in and, for ResNets,
by correctly weighting the residual modules. We prove that the second failure
mode, exponentially large variance of activation length, never occurs in
residual nets once the first failure mode is avoided. In contrast, for fully
connected nets, we prove that this failure mode can happen and is avoided by
keeping constant the sum of the reciprocals of layer widths. We demonstrate
empirically the effectiveness of our theoretical results in predicting when
networks are able to start training. In particular, we note that many popular
initializations fail our criteria, whereas correct initialization and
architecture allows much deeper networks to be trained.
| stat.ML cs.LG | we identify and study two common failure modes for early training in deep relu nets for each we give a rigorous proof of when it occurs and how to avoid it for fully connected and residual architectures the first failure mode explodingvanishing mean activation length can be avoided by initializing weights from a symmetric distribution with variance 2fanin and for resnets by correctly weighting the residual modules we prove that the second failure mode exponentially large variance of activation length never occurs in residual nets once the first failure mode is avoided in contrast for fully connected nets we prove that this failure mode can happen and is avoided by keeping constant the sum of the reciprocals of layer widths we demonstrate empirically the effectiveness of our theoretical results in predicting when networks are able to start training in particular we note that many popular initializations fail our criteria whereas correct initialization and architecture allows much deeper networks to be trained | [['we', 'identify', 'and', 'study', 'two', 'common', 'failure', 'modes', 'for', 'early', 'training', 'in', 'deep', 'relu', 'nets', 'for', 'each', 'we', 'give', 'a', 'rigorous', 'proof', 'of', 'when', 'it', 'occurs', 'and', 'how', 'to', 'avoid', 'it', 'for', 'fully', 'connected', 'and', 'residual', 'architectures', 'the', 'first', 'failure', 'mode', 'explodingvanishing', 'mean', 'activation', 'length', 'can', 'be', 'avoided', 'by', 'initializing', 'weights', 'from', 'a', 'symmetric', 'distribution', 'with', 'variance', '2fanin', 'and', 'for', 'resnets', 'by', 'correctly', 'weighting', 'the', 'residual', 'modules', 'we', 'prove', 'that', 'the', 'second', 'failure', 'mode', 'exponentially', 'large', 'variance', 'of', 'activation', 'length', 'never', 'occurs', 'in', 'residual', 'nets', 'once', 'the', 'first', 'failure', 'mode', 'is', 'avoided', 'in', 'contrast', 'for', 'fully', 'connected', 'nets', 'we', 'prove', 'that', 'this', 'failure', 'mode', 'can', 'happen', 'and', 'is', 'avoided', 'by', 'keeping', 'constant', 'the', 'sum', 'of', 'the', 'reciprocals', 'of', 'layer', 'widths', 'we', 'demonstrate', 'empirically', 'the', 'effectiveness', 'of', 'our', 'theoretical', 'results', 'in', 'predicting', 'when', 'networks', 'are', 'able', 'to', 'start', 'training', 'in', 'particular', 'we', 'note', 'that', 'many', 'popular', 'initializations', 'fail', 'our', 'criteria', 'whereas', 'correct', 'initialization', 'and', 'architecture', 'allows', 'much', 'deeper', 'networks', 'to', 'be', 'trained']] | [-0.0871072860318236, 0.10072409131389577, -0.047127516439650206, 0.09131690613139654, -0.0589866021357011, -0.1858850169737707, 0.060512130531424194, 0.4223907798703294, -0.29416775759891606, -0.24141776133328677, 0.09239140895588208, -0.2353637562148833, -0.2090688383250381, 0.1498128225633991, -0.10513894139439799, 0.05572254214421264, 0.12838944024479132, 0.03681517821969464, -0.03195078737771837, -0.29550267504819205, 0.30287746392714326, 0.04158070422545279, 0.3183345776167698, 0.03977331829883042, 0.07943356152372871, -0.005821683569229208, 0.032440021698130296, 0.014807571202982216, -0.07375165184998878, 0.08578460862627253, 0.28358809651690536, 0.12872929248551374, 0.33383001119364053, -0.4761853765405249, -0.18976655862934422, 0.1496079750766512, 0.18344323169148993, 0.142800404256559, 0.019813583450741135, -0.23429252887726762, 0.1510407938971184, -0.1462275558966212, -0.07366312256490345, -0.10820994700188749, -0.021530696054105646, 0.00968759098177543, -0.2769808632263448, 0.07795133564723074, 0.10804718915896956, 0.019750551544711926, -0.01887448500674509, -0.09755675970782249, -0.0039221014507347714, 0.12517613975251152, 0.04648476048314478, 0.005455875016923528, 0.09669290151796303, -0.12276558447483694, -0.0948400122928433, 0.3042505694727879, -0.059557120827957985, -0.18175040403730236, 0.1533885769895278, -0.0673439530422911, -0.1337491582846269, 0.12426931421141489, 0.1736578525364166, 0.07633340714601218, -0.11944690888722106, -0.016025791934953303, 0.021604855131590738, 0.14801371237481362, 0.07898970960231963, -0.004166630867985077, 0.16273650247967453, 0.19500991975219223, 0.04401362268217781, 0.15071451441326644, -0.10498664726619608, -0.06871349206776359, -0.31456733038648965, -0.13156168435525614, -0.1987447212457482, 0.0043540536855289245, -0.07730400506934529, -0.13747709414310522, 0.40880528807174416, 0.17324130117485764, 0.2470679262711201, 0.18089452321873978, 0.30392663403763437, 0.10575448654562933, 0.14438262988021505, 0.10593066894070943, 0.25840757062396735, 0.08498231872072211, 0.047286538984189976, -0.16987058341928787, 0.10834998585924041, 0.06494557018741035] |
1,803.0172 | Pointwise convergence of Schr\"odinger solutions and multilinear refined
Strichartz estimates | We obtain partial improvement toward the pointwise convergence problem of
Schr\"odinger solutions, in the general setting of fractal measure. In
particular, we show that, for $n\geq 3$, $\lim_{t \to 0} e^{it\Delta}f(x) =
f(x)$ almost everywhere with respect to Lebesgue measure for all $f \in H^s
(\mathbb{R}^n)$ provided that $s>(n+1)/2(n+2)$. The proof uses linear refined
Strichartz estimates. We also prove a multilinear refined Strichartz using
decoupling and multilinear Kakeya.
| math.CA | we obtain partial improvement toward the pointwise convergence problem of schrodinger solutions in the general setting of fractal measure in particular we show that for ngeq 3 lim_t to 0 eitdeltafx fx almost everywhere with respect to lebesgue measure for all f in hs mathbbrn provided that sn12n2 the proof uses linear refined strichartz estimates we also prove a multilinear refined strichartz using decoupling and multilinear kakeya | [['we', 'obtain', 'partial', 'improvement', 'toward', 'the', 'pointwise', 'convergence', 'problem', 'of', 'schrodinger', 'solutions', 'in', 'the', 'general', 'setting', 'of', 'fractal', 'measure', 'in', 'particular', 'we', 'show', 'that', 'for', 'ngeq', '3', 'lim_t', 'to', '0', 'eitdeltafx', 'fx', 'almost', 'everywhere', 'with', 'respect', 'to', 'lebesgue', 'measure', 'for', 'all', 'f', 'in', 'hs', 'mathbbrn', 'provided', 'that', 'sn12n2', 'the', 'proof', 'uses', 'linear', 'refined', 'strichartz', 'estimates', 'we', 'also', 'prove', 'a', 'multilinear', 'refined', 'strichartz', 'using', 'decoupling', 'and', 'multilinear', 'kakeya']] | [-0.10648529357841295, 0.004176409237764098, -0.05763485385669452, 0.11431783436317787, -0.048099021250946505, -0.14668835086437562, 0.011575617488812317, 0.3353034968798359, -0.31874463252836105, -0.1248144626760305, 0.15133969658089688, -0.32559667623630073, -0.09769448819993572, 0.22854038660950732, -0.1073489231621903, 0.13382353958194004, 0.02676013737183177, 0.04565208924539162, -0.11784376649919784, -0.29900556207267626, 0.35542193563147023, -0.11149748455676617, 0.170404671652553, 0.06245965162066348, 0.10321130981725274, 0.01894420617485814, -0.009382720133571915, -0.038855503962347, -0.24581648651832383, 0.1365565620909558, 0.23983749381449976, 0.10610800282676902, 0.30276623557349946, -0.3675794473806904, -0.17369171414016324, 0.21065838646256563, 0.17205773610057254, -0.002854007395040808, -0.03470678188993285, -0.31451144870935066, 0.12595166567056862, -0.061237878536551514, -0.2566985641606152, -0.1304738294248554, 0.05857722030839685, 0.055990324920099796, -0.4032088035830494, 0.14028497854076594, 0.158066830837704, 0.04833757330197841, -0.17119016564648712, -0.12720577593603538, 0.012074182158385433, 0.042836441503216825, 0.0031208835372870617, 0.14341404756785117, -0.00932823933632762, -0.010387633609670129, -0.09101005268960514, 0.2681829901835458, -0.15373240779577332, -0.27060154018302757, 0.08436286539742441, -0.2288635675654267, -0.1991740673759275, 0.06567776355553757, 0.11919447959570045, 0.14949569117390749, -0.08399815838360651, 0.19965438869213825, -0.09611113281976996, 0.16356893374838613, 0.1590335414617915, 0.07031187770454297, -0.029845388426276095, 0.08214604082362105, 0.283989248924296, 0.1358942399648103, 0.006887441197636001, -0.01807617813094773, -0.3316260123286735, -0.17229766521433537, -0.16941231233949744, 0.14281343032295504, -0.1841890471337, -0.1769161750844708, 0.3124204389733319, 0.15246142513669012, 0.13278006674072734, 0.2051594040187245, 0.18489995096443276, 0.13867961635079348, -0.03475120329566187, 0.11642760230284749, 0.15952608288463319, 0.16060090194823165, 0.12816670511595227, -0.10564964127755075, 0.00156486944549463, 0.23274939948918694] |
1,803.01721 | A Si IV/O IV electron density diagnostic for the analysis of IRIS solar
spectra | Solar spectra of ultraviolet bursts and flare ribbons from the Interface
Region Imaging Spectrograph (IRIS) have suggested high electron densities of
$>10^{12}$ cm$^{-3}$ at transition region temperatures of 0.1 MK, based on
large intensity ratios of Si IV $\lambda$1402.77 to O IV $\lambda$1401.16. In
this work a rare observation of the weak O IV $\lambda$1343.51 line is reported
from an X-class flare that peaked at 21:41 UT on 2014 October 24. This line is
used to develop a theoretical prediction of the Si IV $\lambda$1402.77 to O IV
$\lambda$1401.16 ratio as a function of density that is recommended to be used
in the high density regime. The method makes use of new pressure-dependent
ionization fractions that take account of the suppression of dielectronic
recombination at high densities. It is applied to two sequences of flare kernel
observations from the October 24 flare. The first shows densities that vary
between $3\times 10^{12}$ to $3 \times 10^{13}$ cm$^{-3}$ over a seven minute
period, while the second location shows stable density values of around
$2\times 10^{12}$ cm$^{-3}$ over a three minute period.
| astro-ph.SR | solar spectra of ultraviolet bursts and flare ribbons from the interface region imaging spectrograph iris have suggested high electron densities of 1012 cm3 at transition region temperatures of 01 mk based on large intensity ratios of si iv lambda140277 to o iv lambda140116 in this work a rare observation of the weak o iv lambda134351 line is reported from an xclass flare that peaked at 2141 ut on 2014 october 24 this line is used to develop a theoretical prediction of the si iv lambda140277 to o iv lambda140116 ratio as a function of density that is recommended to be used in the high density regime the method makes use of new pressuredependent ionization fractions that take account of the suppression of dielectronic recombination at high densities it is applied to two sequences of flare kernel observations from the october 24 flare the first shows densities that vary between 3times 1012 to 3 times 1013 cm3 over a seven minute period while the second location shows stable density values of around 2times 1012 cm3 over a three minute period | [['solar', 'spectra', 'of', 'ultraviolet', 'bursts', 'and', 'flare', 'ribbons', 'from', 'the', 'interface', 'region', 'imaging', 'spectrograph', 'iris', 'have', 'suggested', 'high', 'electron', 'densities', 'of', '1012', 'cm3', 'at', 'transition', 'region', 'temperatures', 'of', '01', 'mk', 'based', 'on', 'large', 'intensity', 'ratios', 'of', 'si', 'iv', 'lambda140277', 'to', 'o', 'iv', 'lambda140116', 'in', 'this', 'work', 'a', 'rare', 'observation', 'of', 'the', 'weak', 'o', 'iv', 'lambda134351', 'line', 'is', 'reported', 'from', 'an', 'xclass', 'flare', 'that', 'peaked', 'at', '2141', 'ut', 'on', '2014', 'october', '24', 'this', 'line', 'is', 'used', 'to', 'develop', 'a', 'theoretical', 'prediction', 'of', 'the', 'si', 'iv', 'lambda140277', 'to', 'o', 'iv', 'lambda140116', 'ratio', 'as', 'a', 'function', 'of', 'density', 'that', 'is', 'recommended', 'to', 'be', 'used', 'in', 'the', 'high', 'density', 'regime', 'the', 'method', 'makes', 'use', 'of', 'new', 'pressuredependent', 'ionization', 'fractions', 'that', 'take', 'account', 'of', 'the', 'suppression', 'of', 'dielectronic', 'recombination', 'at', 'high', 'densities', 'it', 'is', 'applied', 'to', 'two', 'sequences', 'of', 'flare', 'kernel', 'observations', 'from', 'the', 'october', '24', 'flare', 'the', 'first', 'shows', 'densities', 'that', 'vary', 'between', '3times', '1012', 'to', '3', 'times', '1013', 'cm3', 'over', 'a', 'seven', 'minute', 'period', 'while', 'the', 'second', 'location', 'shows', 'stable', 'density', 'values', 'of', 'around', '2times', '1012', 'cm3', 'over', 'a', 'three', 'minute', 'period']] | [-0.06421575079597956, 0.14834474344462995, 0.004729309364020909, 0.04153663612007883, 0.01811128813477064, -0.11107132601318881, 0.06058955937227107, 0.42641313751863147, -0.1317588907523631, -0.38029113961701194, 0.048468100487794305, -0.2864943886617601, -0.03204039442591073, 0.2058141344300979, -0.008788338793237926, -0.05193271787514029, 0.035107567377219144, -0.039790924962289864, -0.0865741645505874, -0.2234816751654514, 0.20269564371780938, 0.09477070634867149, 0.2508250442254145, 0.04296196383074857, 0.06398453125571409, -0.09190290804888884, 0.005300011397511381, -0.02589955409613057, -0.13365791852150075, 0.05362893280388645, 0.23948863302674991, 0.09561623777567134, 0.23193613208026032, -0.38483251815407793, -0.17478102969735945, 0.005638479722124016, 0.11665503825431435, -0.02288779991663019, 0.016896833428869617, -0.24928099146663127, 0.07317835322729396, -0.15209332994312386, -0.11362829332409258, 0.08405013542770493, 0.1018373085085345, 0.00423721851091779, -0.2897944613783197, 0.12466633487069471, -0.042653713510265916, 0.08253535987089643, -0.07491611449222546, -0.10482137666126205, -0.036525464958024466, 0.055441094596806746, 0.026262996078003198, 0.0410704424866708, 0.17662836269300897, -0.06257241331993348, -0.036305060419677335, 0.3489927367561243, -0.12583701882646314, 0.06975384320751553, 0.18552440603194886, -0.24515269281586038, -0.17025811042350886, 0.31103019099365076, 0.13401851960010058, 0.12818264463964046, -0.08570099918076514, 0.04632218477325461, 0.01294385370287769, 0.2100435104459228, 0.07478255210100376, 0.013426633019910449, 0.22962112781930377, 0.10085642204715194, 0.03924804079261693, 0.034357965595104775, -0.267226021660132, -0.004517140730885413, -0.28785834101819835, -0.1391193033715271, -0.12402986721545775, 0.10357764415675774, -0.09601374648619557, -0.14954017536894587, 0.38620086309542373, 0.1458272874799811, 0.2730778023634974, -0.0071840266209619585, 0.23837317563646304, 0.154405995332292, 0.05415334182527493, 0.07773520040262322, 0.2544184037542436, 0.185368324287331, 0.16102847628644668, -0.20071977123751078, 0.05084976852892644, 0.04001111750552478] |
1,803.01722 | Distortion of the standard cosmology in R+R^2 theory | Universe history in $R^2$-gravity is studied from "beginning" up to the
present epoch. It is assumed that initially the curvature scalar $R$ was
sufficiently large to induce the proper duration of inflation. Gravitational
particle production by the oscillating $R(t)$ led to a graceful exit from
inflation, but the cosmological evolution in the early universe was drastically
different from the standard one till the universe age reached the value of the
order of the inverse decay rate of the oscillating curvature $R(t)$. This
deviation from the standard cosmology might have a noticeable impact on the
formation of primordial black holes and baryogenesis. At later time, after
exponential decay of the curvature oscillations, cosmology may return to
normality.
| gr-qc astro-ph.CO | universe history in r2gravity is studied from beginning up to the present epoch it is assumed that initially the curvature scalar r was sufficiently large to induce the proper duration of inflation gravitational particle production by the oscillating rt led to a graceful exit from inflation but the cosmological evolution in the early universe was drastically different from the standard one till the universe age reached the value of the order of the inverse decay rate of the oscillating curvature rt this deviation from the standard cosmology might have a noticeable impact on the formation of primordial black holes and baryogenesis at later time after exponential decay of the curvature oscillations cosmology may return to normality | [['universe', 'history', 'in', 'r2gravity', 'is', 'studied', 'from', 'beginning', 'up', 'to', 'the', 'present', 'epoch', 'it', 'is', 'assumed', 'that', 'initially', 'the', 'curvature', 'scalar', 'r', 'was', 'sufficiently', 'large', 'to', 'induce', 'the', 'proper', 'duration', 'of', 'inflation', 'gravitational', 'particle', 'production', 'by', 'the', 'oscillating', 'rt', 'led', 'to', 'a', 'graceful', 'exit', 'from', 'inflation', 'but', 'the', 'cosmological', 'evolution', 'in', 'the', 'early', 'universe', 'was', 'drastically', 'different', 'from', 'the', 'standard', 'one', 'till', 'the', 'universe', 'age', 'reached', 'the', 'value', 'of', 'the', 'order', 'of', 'the', 'inverse', 'decay', 'rate', 'of', 'the', 'oscillating', 'curvature', 'rt', 'this', 'deviation', 'from', 'the', 'standard', 'cosmology', 'might', 'have', 'a', 'noticeable', 'impact', 'on', 'the', 'formation', 'of', 'primordial', 'black', 'holes', 'and', 'baryogenesis', 'at', 'later', 'time', 'after', 'exponential', 'decay', 'of', 'the', 'curvature', 'oscillations', 'cosmology', 'may', 'return', 'to', 'normality']] | [-0.10668004075755719, 0.19711694499509858, -0.15546393092994676, 0.11407886830596092, -0.07343334528007384, -0.10944281177241998, -0.033309453116842254, 0.29187560698081705, -0.25744314331175955, -0.28730861625858933, 0.12487630724529575, -0.23670955244772907, -0.02546453134734826, 0.16171714866329145, -0.012588155431801388, 0.006669695352621633, 0.03913518297586365, 0.07933365233676058, -0.010764684638506251, -0.30135680546438126, 0.3061303087461997, 0.15688253790220438, 0.2012868816884042, -0.005843826477287401, 0.05689936321517774, -0.11276146851415778, -0.03477119304920177, -0.002441435602718386, -0.20421421013772237, -0.0016713396220564328, 0.13437126012486889, 0.14883468536547675, 0.2762864800170064, -0.4202282608502769, -0.23288743043767995, 0.17742833457405455, 0.13967134498445125, 0.15514151888883448, -0.07964787246551011, -0.2595745774050211, 0.0681190267887673, -0.151643698017418, -0.1135262576341308, 0.05418085086095179, 0.06397357338975215, -0.06765953425703378, -0.24692179894592645, 0.14725561291461103, -0.011712966237923709, -0.04445684296359982, -0.041927112944841645, -0.06757140529325939, -0.022669944008972882, 0.08306758585466265, 0.1656183381364199, 0.040070024302935804, 0.1734144934051638, -0.13463850726237006, -0.052824332436008765, 0.36559629901753865, -0.17095687000406104, -0.023756852582225513, 0.11597542107458515, -0.242815226216094, -0.09113388036474071, 0.16603727343869557, 0.12926649227176376, 0.08386521936586962, -0.1334981974696034, 0.14344364946962992, 0.11409931585738628, 0.14264908511440494, 0.16001000687287287, -0.01672209387018891, 0.3384135396476707, 0.14257358431721764, 0.01768638702422573, 0.08005811899081515, -0.06365113859345879, -0.11598397959184287, -0.3513450021413958, -0.11271184481327133, -0.17349249314002949, 0.1390205306011796, -0.15847569111529397, -0.17294723872930326, 0.4101476860794656, 0.10852836681116404, 0.17478005813860237, 0.05104925479049441, 0.2571999445686617, 0.06222710007869896, 0.05360435451188221, 0.06674326991115181, 0.3391494926803842, 0.13092505989058328, 0.19591709254470108, -0.2467698133309725, 0.08173651537649206, 0.037150591057885825] |
1,803.01723 | Optimal Substring-Equality Queries with Applications to Sparse Text
Indexing | We consider the problem of encoding a string of length $n$ from an integer
alphabet of size $\sigma$ so that access and substring equality queries (that
is, determining the equality of any two substrings) can be answered
efficiently. Any uniquely-decodable encoding supporting access must take
$n\log\sigma + \Theta(\log (n\log\sigma))$ bits. We describe a new data
structure matching this lower bound when $\sigma\leq n^{O(1)}$ while supporting
both queries in optimal $O(1)$ time. Furthermore, we show that the string can
be overwritten in-place with this structure. The redundancy of $\Theta(\log n)$
bits and the constant query time break exponentially a lower bound that is
known to hold in the read-only model. Using our new string representation, we
obtain the first in-place subquadratic (indeed, even sublinear in some cases)
algorithms for several string-processing problems in the restore model: the
input string is rewritable and must be restored before the computation
terminates. In particular, we describe the first in-place subquadratic Monte
Carlo solutions to the sparse suffix sorting, sparse LCP array construction,
and suffix selection problems. With the sole exception of suffix selection, our
algorithms are also the first running in sublinear time for small enough sets
of input suffixes. Combining these solutions, we obtain the first
sublinear-time Monte Carlo algorithm for building the sparse suffix tree in
compact space. We also show how to derandomize our algorithms using small
space. This leads to the first Las Vegas in-place algorithm computing the full
LCP array in $O(n\log n)$ time and to the first Las Vegas in-place algorithms
solving the sparse suffix sorting and sparse LCP array construction problems in
$O(n^{1.5}\sqrt{\log \sigma})$ time. Running times of these Las Vegas
algorithms hold in the worst case with high probability.
| cs.DS | we consider the problem of encoding a string of length n from an integer alphabet of size sigma so that access and substring equality queries that is determining the equality of any two substrings can be answered efficiently any uniquelydecodable encoding supporting access must take nlogsigma thetalog nlogsigma bits we describe a new data structure matching this lower bound when sigmaleq no1 while supporting both queries in optimal o1 time furthermore we show that the string can be overwritten inplace with this structure the redundancy of thetalog n bits and the constant query time break exponentially a lower bound that is known to hold in the readonly model using our new string representation we obtain the first inplace subquadratic indeed even sublinear in some cases algorithms for several stringprocessing problems in the restore model the input string is rewritable and must be restored before the computation terminates in particular we describe the first inplace subquadratic monte carlo solutions to the sparse suffix sorting sparse lcp array construction and suffix selection problems with the sole exception of suffix selection our algorithms are also the first running in sublinear time for small enough sets of input suffixes combining these solutions we obtain the first sublineartime monte carlo algorithm for building the sparse suffix tree in compact space we also show how to derandomize our algorithms using small space this leads to the first las vegas inplace algorithm computing the full lcp array in onlog n time and to the first las vegas inplace algorithms solving the sparse suffix sorting and sparse lcp array construction problems in on15sqrtlog sigma time running times of these las vegas algorithms hold in the worst case with high probability | [['we', 'consider', 'the', 'problem', 'of', 'encoding', 'a', 'string', 'of', 'length', 'n', 'from', 'an', 'integer', 'alphabet', 'of', 'size', 'sigma', 'so', 'that', 'access', 'and', 'substring', 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1,803.01724 | A single atom noise probe operating beyond the Heisenberg limit | According to the Heisenberg uncertainty principle, the energy or frequency
uncertainty of a measurement can be at the best inversely proportional to the
observation time ($T$). The observation time in an experiment using a quantum
mechanical probe is ultimately limited by the coherence time of the probe.
Therefore the inverse proportionality of the statistical uncertainty of a
frequency measurement to the observation time is also limited up to the
coherence time of the probe, provided the systematic uncertainties are well
below the statistical uncertainties. With a single laser-cooled barium ion as a
quantum probe, we show that the uncertainty in the frequency measurement for a
general time-dependent Hamiltonian scales as $1/T^{1.75\pm 0.03}$ as opposed to
$1/T$, given by the Heisenberg limit for time-independent Hamiltonian. These
measurements, based on controlled feedback Hamiltonian and implemented on a
laser cooled single ion, allowed precise measurement of noise frequency in the
kHz range. Moreover, based on the observed sensitivity of a single ion
experiment presented here, we propose the use of a similar protocol with
enhanced sensitivity as a tool to directly verify the existence of certain
types of light mass axion-like dark matter particles where no direct
measurement protocol exists.
| quant-ph hep-ex physics.atom-ph | according to the heisenberg uncertainty principle the energy or frequency uncertainty of a measurement can be at the best inversely proportional to the observation time t the observation time in an experiment using a quantum mechanical probe is ultimately limited by the coherence time of the probe therefore the inverse proportionality of the statistical uncertainty of a frequency measurement to the observation time is also limited up to the coherence time of the probe provided the systematic uncertainties are well below the statistical uncertainties with a single lasercooled barium ion as a quantum probe we show that the uncertainty in the frequency measurement for a general timedependent hamiltonian scales as 1t175pm 003 as opposed to 1t given by the heisenberg limit for timeindependent hamiltonian these measurements based on controlled feedback hamiltonian and implemented on a laser cooled single ion allowed precise measurement of noise frequency in the khz range moreover based on the observed sensitivity of a single ion experiment presented here we propose the use of a similar protocol with enhanced sensitivity as a tool to directly verify the existence of certain types of light mass axionlike dark matter particles where no direct measurement protocol exists | [['according', 'to', 'the', 'heisenberg', 'uncertainty', 'principle', 'the', 'energy', 'or', 'frequency', 'uncertainty', 'of', 'a', 'measurement', 'can', 'be', 'at', 'the', 'best', 'inversely', 'proportional', 'to', 'the', 'observation', 'time', 't', 'the', 'observation', 'time', 'in', 'an', 'experiment', 'using', 'a', 'quantum', 'mechanical', 'probe', 'is', 'ultimately', 'limited', 'by', 'the', 'coherence', 'time', 'of', 'the', 'probe', 'therefore', 'the', 'inverse', 'proportionality', 'of', 'the', 'statistical', 'uncertainty', 'of', 'a', 'frequency', 'measurement', 'to', 'the', 'observation', 'time', 'is', 'also', 'limited', 'up', 'to', 'the', 'coherence', 'time', 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1,803.01725 | Rashba proximity states in superconducting tunnel junctions | We consider a new kind of superconducting proximity effect created by the
tunneling of "spin split" Cooper pairs between two conventional superconductors
connected by a normal conductor containing a quantum dot. The difference
compared to the usual superconducting proximity effect is that the spin states
of the tunneling Cooper pairs are split into singlet and triplet components by
the electron spin-orbit coupling, which is assumed to be active in the normal
conductor only. We demonstrate that the supercurrent carried by the spin-split
Cooper pairs can be manipulated both mechanically and electrically for
strengths of the spin-orbit coupling that can realistically be achieved by
electrostatic gates.
| cond-mat.mes-hall | we consider a new kind of superconducting proximity effect created by the tunneling of spin split cooper pairs between two conventional superconductors connected by a normal conductor containing a quantum dot the difference compared to the usual superconducting proximity effect is that the spin states of the tunneling cooper pairs are split into singlet and triplet components by the electron spinorbit coupling which is assumed to be active in the normal conductor only we demonstrate that the supercurrent carried by the spinsplit cooper pairs can be manipulated both mechanically and electrically for strengths of the spinorbit coupling that can realistically be achieved by electrostatic gates | [['we', 'consider', 'a', 'new', 'kind', 'of', 'superconducting', 'proximity', 'effect', 'created', 'by', 'the', 'tunneling', 'of', 'spin', 'split', 'cooper', 'pairs', 'between', 'two', 'conventional', 'superconductors', 'connected', 'by', 'a', 'normal', 'conductor', 'containing', 'a', 'quantum', 'dot', 'the', 'difference', 'compared', 'to', 'the', 'usual', 'superconducting', 'proximity', 'effect', 'is', 'that', 'the', 'spin', 'states', 'of', 'the', 'tunneling', 'cooper', 'pairs', 'are', 'split', 'into', 'singlet', 'and', 'triplet', 'components', 'by', 'the', 'electron', 'spinorbit', 'coupling', 'which', 'is', 'assumed', 'to', 'be', 'active', 'in', 'the', 'normal', 'conductor', 'only', 'we', 'demonstrate', 'that', 'the', 'supercurrent', 'carried', 'by', 'the', 'spinsplit', 'cooper', 'pairs', 'can', 'be', 'manipulated', 'both', 'mechanically', 'and', 'electrically', 'for', 'strengths', 'of', 'the', 'spinorbit', 'coupling', 'that', 'can', 'realistically', 'be', 'achieved', 'by', 'electrostatic', 'gates']] | [-0.2376644693048937, 0.24303948545739765, -0.011299403588331881, 0.06841469651221165, -0.03685253779625609, -0.204367723595351, 0.06644974811046961, 0.3621422122986544, -0.24288685437557953, -0.29376639968139073, -0.09433504121843725, -0.29437226149297896, -0.056378528298366634, 0.2046339699688057, 0.052662465100487076, -0.05438501665457374, -0.005137886559324605, -0.03061504415458157, -0.07782992383775612, -0.25400592450806425, 0.3758571987439479, -0.07676583031480688, 0.3370906769431063, 0.07219207288608664, 0.042760079420570814, 0.013228760504474243, 0.15618103786061208, 0.0490406934615402, -0.03919209270132428, 0.07157218799250023, 0.25713183124150546, -0.11500686499334517, 0.21096968585181805, -0.4934081650028626, -0.17106927899377686, 0.0552841314868558, 0.15397948979710538, 0.14490959680794427, -0.052382719703018665, -0.35602022982424214, 0.0699763779716921, -0.1847494265308515, -0.048357239704845206, -0.07096569052054769, -0.030613943304689157, -0.0069107476799261, -0.27524497817669596, 0.052138053835369645, 0.08845772040076554, 0.0007629926094696635, 0.026491464980478798, -0.04427457064212788, -0.07742232004446643, 0.0389386290085635, -0.008268628155236088, 0.017318057193465176, 0.16233765400136776, -0.11266262256762101, -0.14364498346334412, 0.28919269756547045, -0.08490361395691122, -0.18331112206159603, 0.1326796611416198, -0.12213306026533247, 0.050878442349355846, 0.12411957501566835, 0.07606940343976021, 0.08280420757475354, -0.18209319267688054, 0.058129626954905686, -0.03142997241978134, 0.14141480537530568, 0.04888293333795099, 0.06992354554878104, 0.32618245996889617, 0.14204156427599846, 0.025852334851307595, 0.16090381220980945, -0.13808322845728807, -0.061443331314339523, -0.2597609665777002, -0.19198939580292929, -0.2571819159024883, 0.07112357239460661, 0.019408374633695488, -0.12124099589307748, 0.42165851522059666, 0.11715307219752244, 0.21356492641248873, -0.1023304579413629, 0.2911810047569729, 0.13057354386629802, 0.13664588416438728, 0.0002732981528554644, 0.28876255722272964, 0.19679612647963776, 0.0004913807890954472, -0.3532024774922147, 0.03855774479341649, 0.01647655184247664] |
1,803.01726 | An algorithm to construct the Le diagram associated to a Grassmann
necklace | Le diagrams and Grassmann necklaces both index the collection of positroids
in the nonnegative Grassmannian $Gr_{\geq 0}(k,n)$, but they excel at very
different tasks: for example, the dimension of a positroid is easily extracted
from its Le diagram, while the list of bases of a positroid is far more easily
obtained from its Grassmann necklace. Explicit bijections between the two are
therefore desirable. An algorithm for turning a Le diagram into a Grassmann
necklace already exists; in this note we give the reverse algorithm.
| math.CO | le diagrams and grassmann necklaces both index the collection of positroids in the nonnegative grassmannian gr_geq 0kn but they excel at very different tasks for example the dimension of a positroid is easily extracted from its le diagram while the list of bases of a positroid is far more easily obtained from its grassmann necklace explicit bijections between the two are therefore desirable an algorithm for turning a le diagram into a grassmann necklace already exists in this note we give the reverse algorithm | [['le', 'diagrams', 'and', 'grassmann', 'necklaces', 'both', 'index', 'the', 'collection', 'of', 'positroids', 'in', 'the', 'nonnegative', 'grassmannian', 'gr_geq', '0kn', 'but', 'they', 'excel', 'at', 'very', 'different', 'tasks', 'for', 'example', 'the', 'dimension', 'of', 'a', 'positroid', 'is', 'easily', 'extracted', 'from', 'its', 'le', 'diagram', 'while', 'the', 'list', 'of', 'bases', 'of', 'a', 'positroid', 'is', 'far', 'more', 'easily', 'obtained', 'from', 'its', 'grassmann', 'necklace', 'explicit', 'bijections', 'between', 'the', 'two', 'are', 'therefore', 'desirable', 'an', 'algorithm', 'for', 'turning', 'a', 'le', 'diagram', 'into', 'a', 'grassmann', 'necklace', 'already', 'exists', 'in', 'this', 'note', 'we', 'give', 'the', 'reverse', 'algorithm']] | [-0.12956474803483495, 0.12689092471029367, -0.11679649160310895, 0.10072367618853473, -0.0886825308573982, -0.1760882995125041, 0.053758846857467193, 0.4068982564810529, -0.3102554340050163, -0.2605863507747291, 0.08410820630603437, -0.25768120690664076, -0.15528024310885694, 0.2137327302381935, -0.07355369500681219, -0.05618547144940639, 0.059784229496965206, 0.0735218933031681, -0.10062624600081962, -0.27947880718183804, 0.29151032539645594, -0.03155633933976831, 0.20764851989224553, 0.02590919654053378, 0.11562247993424535, 0.015530378372599202, 0.004708651329828314, 0.018993078548663174, -0.16126610489046, 0.12479961555765336, 0.3094665934836649, 0.19258975322421076, 0.1682101029745606, -0.3298741823219391, -0.10995577122309212, 0.14956547021978053, 0.2186606443565653, 0.09505050996576536, -0.01099563480150768, -0.2532571524112339, 0.06843514059367309, -0.15273904725516507, -0.09766025719210415, -0.05253616607108389, 0.06039018056591053, -0.008787071731373533, -0.2446997126631708, -0.024886643637465424, 0.08780681549470468, 0.12039551490087466, 0.027567125065813224, -0.20601297765745816, -0.07146028481446297, 0.1381292985205213, -0.040342648799744356, 0.047116030321781896, 0.023330133357814635, -0.10684380309757249, -0.09198839503553617, 0.3396533523933087, 0.0461090895493167, -0.22090806855808898, 0.14886103122753191, -0.09343551081908216, -0.1842037013911429, 0.18047926283205848, 0.08138876159658588, 0.16167631536632418, -0.08855284804321197, 0.1251390365293216, -0.11965657967557929, 0.1027315328436264, 0.11961737543860652, -0.008654218918857086, 0.18807946932109365, 0.08571306328816586, 0.045096777248370225, 0.19376516232199698, -0.02502572066318917, -0.0677364913589624, -0.2972964360771409, -0.16704645637894072, -0.17500601509720626, 0.041438234835324515, -0.17682821361375384, -0.1787581237885787, 0.3571974535932742, 0.0886527317974447, 0.2160776560598036, 0.07463841428082571, 0.24274855485629201, 0.018240838334054113, 0.05983312061920493, 0.06283429867576763, 0.1250875066202807, 0.15290429674268488, 0.05037942257462945, -0.12096909231910236, -0.003484299555084253, 0.16629797105778413] |
1,803.01727 | Tensor product decomposition theorem for quantum Lakshmibai-Seshadri
paths and standard monomial theory for semi-infinite Lakshmibai-Seshadri
paths | Let $\lambda$ be a (level-zero) dominant integral weight for an untwisted
affine Lie algebra, and let $\mathrm{QLS}(\lambda)$ denote the quantum
Lakshmibai-Seshadri (QLS) paths of shape $\lambda$. For an element $w$ of a
finite Weyl group $W$, the specializations at $t = 0$ and $t = \infty$ of the
nonsymmetric Macdonald polynomial $E_{w \lambda}(q, t)$ are explicitly
described in terms of QLS paths of shape $\lambda$ and the degree function
defined on them. Also, for (level-zero) dominant integral weights $\lambda$,
$\mu$, we have an isomorphism $\Theta : \mathrm{QLS}(\lambda + \mu) \rightarrow
\mathrm{QLS}(\lambda) \otimes \mathrm{QLS}(\mu)$ of crystals. In this paper, we
study the behavior of the degree function under the isomorphism $\Theta$ of
crystals through the relationship between semi-infinite Lakshmibai-Seshadri
(LS) paths and QLS paths. As an application, we give a crystal-theoretic proof
of a recursion formula for the graded characters of generalized Weyl modules.
| math.QA math.RT | let lambda be a levelzero dominant integral weight for an untwisted affine lie algebra and let mathrmqlslambda denote the quantum lakshmibaiseshadri qls paths of shape lambda for an element w of a finite weyl group w the specializations at t 0 and t infty of the nonsymmetric macdonald polynomial e_w lambdaq t are explicitly described in terms of qls paths of shape lambda and the degree function defined on them also for levelzero dominant integral weights lambda mu we have an isomorphism theta mathrmqlslambda mu rightarrow mathrmqlslambda otimes mathrmqlsmu of crystals in this paper we study the behavior of the degree function under the isomorphism theta of crystals through the relationship between semiinfinite lakshmibaiseshadri ls paths and qls paths as an application we give a crystaltheoretic proof of a recursion formula for the graded characters of generalized weyl modules | [['let', 'lambda', 'be', 'a', 'levelzero', 'dominant', 'integral', 'weight', 'for', 'an', 'untwisted', 'affine', 'lie', 'algebra', 'and', 'let', 'mathrmqlslambda', 'denote', 'the', 'quantum', 'lakshmibaiseshadri', 'qls', 'paths', 'of', 'shape', 'lambda', 'for', 'an', 'element', 'w', 'of', 'a', 'finite', 'weyl', 'group', 'w', 'the', 'specializations', 'at', 't', '0', 'and', 't', 'infty', 'of', 'the', 'nonsymmetric', 'macdonald', 'polynomial', 'e_w', 'lambdaq', 't', 'are', 'explicitly', 'described', 'in', 'terms', 'of', 'qls', 'paths', 'of', 'shape', 'lambda', 'and', 'the', 'degree', 'function', 'defined', 'on', 'them', 'also', 'for', 'levelzero', 'dominant', 'integral', 'weights', 'lambda', 'mu', 'we', 'have', 'an', 'isomorphism', 'theta', 'mathrmqlslambda', 'mu', 'rightarrow', 'mathrmqlslambda', 'otimes', 'mathrmqlsmu', 'of', 'crystals', 'in', 'this', 'paper', 'we', 'study', 'the', 'behavior', 'of', 'the', 'degree', 'function', 'under', 'the', 'isomorphism', 'theta', 'of', 'crystals', 'through', 'the', 'relationship', 'between', 'semiinfinite', 'lakshmibaiseshadri', 'ls', 'paths', 'and', 'qls', 'paths', 'as', 'an', 'application', 'we', 'give', 'a', 'crystaltheoretic', 'proof', 'of', 'a', 'recursion', 'formula', 'for', 'the', 'graded', 'characters', 'of', 'generalized', 'weyl', 'modules']] | [-0.2058668715104352, 0.1399137601773654, -0.06493305297650016, -0.019875349953641475, -0.09970302995375908, -0.1666012016825215, 0.01587029202436743, 0.34934062469940985, -0.3976120045476586, -0.17760581503805778, 0.008558478119721921, -0.2714328963078395, -0.10005715039616492, 0.163468260821091, -0.0227932454678264, -0.030150864502741365, 0.013637064125076153, 0.08289573829702652, -0.10603592606315757, -0.2274299207581955, 0.33634556137576843, -0.021872869184594194, 0.1871303348006667, 0.03045105573637955, 0.13369051829285505, 0.07564488749519453, 0.03846069472930292, -0.05023515954389352, -0.2389207685053566, 0.07469064025225348, 0.2900990946864179, 0.013942541965847686, 0.17873446013860023, -0.32938347070267165, -0.06200178435588949, 0.18764017085905058, 0.16821857479768024, -0.06279036668503155, 0.04605386997182194, -0.2423285675391446, 0.10043744545644082, -0.16638110250928848, -0.15205920837058204, -0.014965009675055306, 0.11253822140776328, 0.016013036546616875, -0.2922252679564888, 0.017994658897221294, 0.08588834627307136, 0.11874843801432935, -0.04074427193492977, -0.18439666971727445, -0.05834038891951914, 0.0569377520944189, -0.058671138025004496, 0.05637923458652285, 0.04449126832391115, -0.13028618714595416, -0.16414634869850314, 0.33757708396381925, -0.06243904932898327, -0.22586441920376824, 0.061167657252972144, -0.13611919121446264, -0.11897458740081775, 0.1002842230504773, 0.059727530144698865, 0.15897585157930416, -0.03943583621502426, 0.24232196868198666, -0.08450863709211023, 0.06750063706413727, 0.12861812138848389, 0.014680192112433214, 0.14238270799914904, 0.06135103281886473, 0.04702493378613824, 0.16139324824070816, 0.0025268887255908445, 0.0033557778139374334, -0.3993644285811125, -0.25131023348560627, -0.16711094261599146, 0.15433708381206884, -0.16009678376496966, -0.18581715404280347, 0.3655228938390739, 0.015564628801967975, 0.20429876467117863, 0.1250352158387919, 0.12524051666531685, 0.14110260616212975, 0.06812794243808101, 0.004955313844864603, 0.06299309017150288, 0.23518832979968537, -0.0014334463567071915, -0.2135212655301566, 0.008984091432712442, 0.18303888282283162] |
1,803.01728 | Intrinsic charm contribution to the prompt atmospheric neutrino flux | In this work we investigate the impact of intrinsic charm on the prompt
atmospheric neutrino flux. The color dipole approach to heavy quark production
is generalized to include the contribution of processes initiated by charm
quarks. The prompt neutrino flux is calculated assuming the presence of
intrinsic charm in the wave function of the projetile hadron. The predictions
are compared with previous color dipole results which were obtained taking into
account only the process initiated by gluons. In addition, we estimate the
atmospheric (conventional + prompt) neutrino flux and compare our predictions
with the ICECUBE results for the astrophysical neutrino flux. Our results
demonstrate that the contribution of the charm quark initiated process is non -
negligible and that the prompt neutrino flux can be enhanced by a factor
$\approx$ 2 at large neutrino energies if an intrinsic charm component is
present in the proton wave function.
| hep-ph astro-ph.HE nucl-th | in this work we investigate the impact of intrinsic charm on the prompt atmospheric neutrino flux the color dipole approach to heavy quark production is generalized to include the contribution of processes initiated by charm quarks the prompt neutrino flux is calculated assuming the presence of intrinsic charm in the wave function of the projetile hadron the predictions are compared with previous color dipole results which were obtained taking into account only the process initiated by gluons in addition we estimate the atmospheric conventional prompt neutrino flux and compare our predictions with the icecube results for the astrophysical neutrino flux our results demonstrate that the contribution of the charm quark initiated process is non negligible and that the prompt neutrino flux can be enhanced by a factor approx 2 at large neutrino energies if an intrinsic charm component is present in the proton wave function | [['in', 'this', 'work', 'we', 'investigate', 'the', 'impact', 'of', 'intrinsic', 'charm', 'on', 'the', 'prompt', 'atmospheric', 'neutrino', 'flux', 'the', 'color', 'dipole', 'approach', 'to', 'heavy', 'quark', 'production', 'is', 'generalized', 'to', 'include', 'the', 'contribution', 'of', 'processes', 'initiated', 'by', 'charm', 'quarks', 'the', 'prompt', 'neutrino', 'flux', 'is', 'calculated', 'assuming', 'the', 'presence', 'of', 'intrinsic', 'charm', 'in', 'the', 'wave', 'function', 'of', 'the', 'projetile', 'hadron', 'the', 'predictions', 'are', 'compared', 'with', 'previous', 'color', 'dipole', 'results', 'which', 'were', 'obtained', 'taking', 'into', 'account', 'only', 'the', 'process', 'initiated', 'by', 'gluons', 'in', 'addition', 'we', 'estimate', 'the', 'atmospheric', 'conventional', 'prompt', 'neutrino', 'flux', 'and', 'compare', 'our', 'predictions', 'with', 'the', 'icecube', 'results', 'for', 'the', 'astrophysical', 'neutrino', 'flux', 'our', 'results', 'demonstrate', 'that', 'the', 'contribution', 'of', 'the', 'charm', 'quark', 'initiated', 'process', 'is', 'non', 'negligible', 'and', 'that', 'the', 'prompt', 'neutrino', 'flux', 'can', 'be', 'enhanced', 'by', 'a', 'factor', 'approx', '2', 'at', 'large', 'neutrino', 'energies', 'if', 'an', 'intrinsic', 'charm', 'component', 'is', 'present', 'in', 'the', 'proton', 'wave', 'function']] | [-0.006346479577283996, 0.2733856464079104, -0.040855207674515746, 0.17687471311862485, -0.025893432489182387, -0.020799680433103478, 0.04489075454411148, 0.356693610523103, -0.1720027146447036, -0.28394395750688595, -0.016012871460083664, -0.3242387388406011, 0.008899199117877288, 0.1638636375137139, 0.04751211866581192, 0.047366781105261505, 0.11296751394790287, -0.05115073287743144, -0.049310427621498495, -0.21943896448808825, 0.3527915904156139, 0.08494647834312571, 0.23260011736096609, 0.19192160047694212, 0.07415766063948265, -0.013120225902336339, -0.12785208209526092, -0.07060149075308193, -0.05547797827168526, 0.034799653739254505, 0.15504975745878052, 0.07233212095161434, 0.09735260229273182, -0.4199784091518571, -0.21047123656414138, 0.13624459806790887, 0.11044772306922823, 0.07837585722073628, -0.03412085590227636, -0.2789328018293923, 0.09982294799475414, -0.21200354586795178, -0.1583584786357177, -0.018468025631995663, -0.041466877026121236, -0.010613964671695916, -0.3099020876106806, 0.07175440777144912, -0.010243197191610105, -0.029213322059755836, -0.029808539362016342, -0.21366672762087546, -0.04474694679245456, 0.060424595317777455, 0.16608966226299848, 0.11064733984595579, 0.14769168937831031, -0.18035637362724324, -0.13699805702910656, 0.39124270275028217, -0.09252963189242615, -0.12860150520767397, 0.0983172641071077, -0.19703842445677663, -0.10902082317948548, 0.18651197224648464, 0.1915873904136889, 0.049047275924951665, -0.216835090968137, 0.054447876104354184, -0.04694616602238158, 0.1652844385567328, 0.018261472969445296, 0.03683477873629373, 0.24329545891184048, 0.22630870822791216, 0.0025974917548915576, 0.05678743477538875, -0.16179460174397617, -0.016309094230463315, -0.36522847145614734, -0.08806388825178146, -0.11251513195909663, 0.09509439870675528, -0.06966013307727634, -0.10463693707586369, 0.42668092254381107, 0.10728249765492769, 0.20094215168824625, -0.008409587109377349, 0.33411139617803404, 0.13735705524272313, 0.03655689775607445, 0.08974826501409755, 0.35096958645671195, 0.17034559799422924, 0.1578297373166101, -0.2998106110252492, 0.05990196743126338, 0.07552895465697576] |
1,803.01729 | Frequency-modulated continuous-wave LiDAR compressive depth-mapping | We present an inexpensive architecture for converting a frequency-modulated
continuous-wave LiDAR system into a compressive-sensing based depth-mapping
camera. Instead of raster scanning to obtain depth-maps, compressive sensing is
used to significantly reduce the number of measurements. Ideally, our approach
requires two difference detectors. % but can operate with only one at the cost
of doubling the number of measurments. Due to the large flux entering the
detectors, the signal amplification from heterodyne detection, and the effects
of background subtraction from compressive sensing, the system can obtain
higher signal-to-noise ratios over detector-array based schemes while scanning
a scene faster than is possible through raster-scanning. %Moreover, we show how
a single total-variation minimization and two fast least-squares minimizations,
instead of a single complex nonlinear minimization, can efficiently recover
high-resolution depth-maps with minimal computational overhead. Moreover, by
efficiently storing only $2m$ data points from $m<n$ measurements of an $n$
pixel scene, we can easily extract depths by solving only two linear equations
with efficient convex-optimization methods.
| eess.SP physics.app-ph physics.optics | we present an inexpensive architecture for converting a frequencymodulated continuouswave lidar system into a compressivesensing based depthmapping camera instead of raster scanning to obtain depthmaps compressive sensing is used to significantly reduce the number of measurements ideally our approach requires two difference detectors but can operate with only one at the cost of doubling the number of measurments due to the large flux entering the detectors the signal amplification from heterodyne detection and the effects of background subtraction from compressive sensing the system can obtain higher signaltonoise ratios over detectorarray based schemes while scanning a scene faster than is possible through rasterscanning moreover we show how a single totalvariation minimization and two fast leastsquares minimizations instead of a single complex nonlinear minimization can efficiently recover highresolution depthmaps with minimal computational overhead moreover by efficiently storing only 2m data points from mn measurements of an n pixel scene we can easily extract depths by solving only two linear equations with efficient convexoptimization methods | [['we', 'present', 'an', 'inexpensive', 'architecture', 'for', 'converting', 'a', 'frequencymodulated', 'continuouswave', 'lidar', 'system', 'into', 'a', 'compressivesensing', 'based', 'depthmapping', 'camera', 'instead', 'of', 'raster', 'scanning', 'to', 'obtain', 'depthmaps', 'compressive', 'sensing', 'is', 'used', 'to', 'significantly', 'reduce', 'the', 'number', 'of', 'measurements', 'ideally', 'our', 'approach', 'requires', 'two', 'difference', 'detectors', 'but', 'can', 'operate', 'with', 'only', 'one', 'at', 'the', 'cost', 'of', 'doubling', 'the', 'number', 'of', 'measurments', 'due', 'to', 'the', 'large', 'flux', 'entering', 'the', 'detectors', 'the', 'signal', 'amplification', 'from', 'heterodyne', 'detection', 'and', 'the', 'effects', 'of', 'background', 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1,803.0173 | A Predictable Rogue Wave and Generating Mechanisms | Due to the widely applications in almost all branches of science, high
dimensional KP equation is selected as universal model to describe rogue wave
phenomenon. A lump is an algebraically localized wave decayed in all space
directions and exists in all time. Starting from a special lump containing
seven arbitrary independent parameters and four constraint conditions with all
the physical properties shown, an invisible lump is found with the combination
of lump part and exponential part. Because of the domination of the exponential
part, the lump will be invisible in some special area, or the lump is cutoff by
the induced visible soliton. While the lump part remains invariant, lump will
keep its positions, path and amplitude before it is invisible. Furthermore, as
a rogue wave/instanton is a localized wave decayed in all space and time
directions, a rogue wave / instanton can also be produced by cutting a lump
between two visible solitons. The special dispersive for the visible soliton(s)
shows the soliton(s) are completely determined by the lump or the visible
soliton(s) are induced by the lumps. Because the induced soliton(s) is visible,
it is possible to give a prediction of the positions, the wave height and even
the path for such kind of rogue waves.
| nlin.SI | due to the widely applications in almost all branches of science high dimensional kp equation is selected as universal model to describe rogue wave phenomenon a lump is an algebraically localized wave decayed in all space directions and exists in all time starting from a special lump containing seven arbitrary independent parameters and four constraint conditions with all the physical properties shown an invisible lump is found with the combination of lump part and exponential part because of the domination of the exponential part the lump will be invisible in some special area or the lump is cutoff by the induced visible soliton while the lump part remains invariant lump will keep its positions path and amplitude before it is invisible furthermore as a rogue waveinstanton is a localized wave decayed in all space and time directions a rogue wave instanton can also be produced by cutting a lump between two visible solitons the special dispersive for the visible solitons shows the solitons are completely determined by the lump or the visible solitons are induced by the lumps because the induced solitons is visible it is possible to give a prediction of the positions the wave height and even the path for such kind of rogue waves | [['due', 'to', 'the', 'widely', 'applications', 'in', 'almost', 'all', 'branches', 'of', 'science', 'high', 'dimensional', 'kp', 'equation', 'is', 'selected', 'as', 'universal', 'model', 'to', 'describe', 'rogue', 'wave', 'phenomenon', 'a', 'lump', 'is', 'an', 'algebraically', 'localized', 'wave', 'decayed', 'in', 'all', 'space', 'directions', 'and', 'exists', 'in', 'all', 'time', 'starting', 'from', 'a', 'special', 'lump', 'containing', 'seven', 'arbitrary', 'independent', 'parameters', 'and', 'four', 'constraint', 'conditions', 'with', 'all', 'the', 'physical', 'properties', 'shown', 'an', 'invisible', 'lump', 'is', 'found', 'with', 'the', 'combination', 'of', 'lump', 'part', 'and', 'exponential', 'part', 'because', 'of', 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1,803.01731 | Me, My Echo Chamber, and I: Introspection on Social Media Polarization | Homophily -- our tendency to surround ourselves with others who share our
perspectives and opinions about the world -- is both a part of human nature and
an organizing principle underpinning many of our digital social networks.
However, when it comes to politics or culture, homophily can amplify tribal
mindsets and produce "echo chambers" that degrade the quality, safety, and
diversity of discourse online. While several studies have empirically proven
this point, few have explored how making users aware of the extent and nature
of their political echo chambers influences their subsequent beliefs and
actions. In this paper, we introduce Social Mirror, a social network
visualization tool that enables a sample of Twitter users to explore the
politically-active parts of their social network. We use Social Mirror to
recruit Twitter users with a prior history of political discourse to a
randomized experiment where we evaluate the effects of different treatments on
participants' i) beliefs about their network connections, ii) the political
diversity of who they choose to follow, and iii) the political alignment of the
URLs they choose to share. While we see no effects on average political
alignment of shared URLs, we find that recommending accounts of the opposite
political ideology to follow reduces participants' beliefs in the political
homogeneity of their network connections but still enhances their connection
diversity one week after treatment. Conversely, participants who enhance their
belief in the political homogeneity of their Twitter connections have less
diverse network connections 2-3 weeks after treatment. We explore the
implications of these disconnects between beliefs and actions on future efforts
to promote healthier exchanges in our digital public spheres.
| cs.CY cs.SI | homophily our tendency to surround ourselves with others who share our perspectives and opinions about the world is both a part of human nature and an organizing principle underpinning many of our digital social networks however when it comes to politics or culture homophily can amplify tribal mindsets and produce echo chambers that degrade the quality safety and diversity of discourse online while several studies have empirically proven this point few have explored how making users aware of the extent and nature of their political echo chambers influences their subsequent beliefs and actions in this paper we introduce social mirror a social network visualization tool that enables a sample of twitter users to explore the politicallyactive parts of their social network we use social mirror to recruit twitter users with a prior history of political discourse to a randomized experiment where we evaluate the effects of different treatments on participants i beliefs about their network connections ii the political diversity of who they choose to follow and iii the political alignment of the urls they choose to share while we see no effects on average political alignment of shared urls we find that recommending accounts of the opposite political ideology to follow reduces participants beliefs in the political homogeneity of their network connections but still enhances their connection diversity one week after treatment conversely participants who enhance their belief in the political homogeneity of their twitter connections have less diverse network connections 23 weeks after treatment we explore the implications of these disconnects between beliefs and actions on future efforts to promote healthier exchanges in our digital public spheres | [['homophily', 'our', 'tendency', 'to', 'surround', 'ourselves', 'with', 'others', 'who', 'share', 'our', 'perspectives', 'and', 'opinions', 'about', 'the', 'world', 'is', 'both', 'a', 'part', 'of', 'human', 'nature', 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1,803.01732 | Conforming, non-conforming and non-matching discretization couplings in
discrete fracture network simulations | Simulations of fluid flow in naturally fractured rocks have implications for
several subsurface applications, including energy storage and extraction, and
waste storage. We are interested in flow in discrete fracture networks, which
explicitly represent flow in fracture surfaces, but ignore the impact of the
surrounding host rock. Fracture networks, generated from observations or
stochastic simulations, will contain intersections of arbitrary length, and
intersection lines can further cross, forming a highly complex geometry. As the
flow exchange between fractures, thus in the network, takes place in these
intersections, an adequate representation of the geometry is critical for
simulation accuracy. In practice, the intersection dynamics must be handled by
a combination of the simulation grid, which may or may not resolve the
intersection lines, and the numerical methods applied on the grid. In this
work, we review different classes of numerical approaches proposed in recent
years, covering both methods that conform to the grid, and non-matching cases.
Specific methods considered herein include finite element, mixed and virtual
finite elements and control volume methods. We expose our methods to an
extensive set of test cases, ranging from artificial geometries designed to
test difficult configurations, to a network extruded from a real fracture
outcrop. The main outcome is guidances for choice of simulation models and
numerical discretization with a trade off on the computational cost and
solution accuracy.
| math.NA | simulations of fluid flow in naturally fractured rocks have implications for several subsurface applications including energy storage and extraction and waste storage we are interested in flow in discrete fracture networks which explicitly represent flow in fracture surfaces but ignore the impact of the surrounding host rock fracture networks generated from observations or stochastic simulations will contain intersections of arbitrary length and intersection lines can further cross forming a highly complex geometry as the flow exchange between fractures thus in the network takes place in these intersections an adequate representation of the geometry is critical for simulation accuracy in practice the intersection dynamics must be handled by a combination of the simulation grid which may or may not resolve the intersection lines and the numerical methods applied on the grid in this work we review different classes of numerical approaches proposed in recent years covering both methods that conform to the grid and nonmatching cases specific methods considered herein include finite element mixed and virtual finite elements and control volume methods we expose our methods to an extensive set of test cases ranging from artificial geometries designed to test difficult configurations to a network extruded from a real fracture outcrop the main outcome is guidances for choice of simulation models and numerical discretization with a trade off on the computational cost and solution accuracy | [['simulations', 'of', 'fluid', 'flow', 'in', 'naturally', 'fractured', 'rocks', 'have', 'implications', 'for', 'several', 'subsurface', 'applications', 'including', 'energy', 'storage', 'and', 'extraction', 'and', 'waste', 'storage', 'we', 'are', 'interested', 'in', 'flow', 'in', 'discrete', 'fracture', 'networks', 'which', 'explicitly', 'represent', 'flow', 'in', 'fracture', 'surfaces', 'but', 'ignore', 'the', 'impact', 'of', 'the', 'surrounding', 'host', 'rock', 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1,803.01733 | Orbital selectivity enhanced by nematic order in FeSe | Motivated by the recent low-tempearture experiments on bulk FeSe, we study
the electron correlation effects in a multiorbital model for this compound in
the nematic phase using the U(1) slave-spin theory. We find that a finite
nematic order helps to stabilize an orbital selective Mott phase. Moreover, we
propose that when the d- and s-wave bond nematic orders are combined with the
ferro-orbital order, there exists a surprisingly large orbital selectivity
between the xz and yz orbitals even though the associated band splitting is
relatively small. Our results explain the seemingly unusual observation of
strong orbital selectivity in the nematic phase of FeSe, and uncover new clues
on the nature of the nematic order, and sets the stage to elucidate the
interplay between superconductivity and nematicity in iron-based
superconductors.
| cond-mat.supr-con cond-mat.str-el | motivated by the recent lowtempearture experiments on bulk fese we study the electron correlation effects in a multiorbital model for this compound in the nematic phase using the u1 slavespin theory we find that a finite nematic order helps to stabilize an orbital selective mott phase moreover we propose that when the d and swave bond nematic orders are combined with the ferroorbital order there exists a surprisingly large orbital selectivity between the xz and yz orbitals even though the associated band splitting is relatively small our results explain the seemingly unusual observation of strong orbital selectivity in the nematic phase of fese and uncover new clues on the nature of the nematic order and sets the stage to elucidate the interplay between superconductivity and nematicity in ironbased superconductors | [['motivated', 'by', 'the', 'recent', 'lowtempearture', 'experiments', 'on', 'bulk', 'fese', 'we', 'study', 'the', 'electron', 'correlation', 'effects', 'in', 'a', 'multiorbital', 'model', 'for', 'this', 'compound', 'in', 'the', 'nematic', 'phase', 'using', 'the', 'u1', 'slavespin', 'theory', 'we', 'find', 'that', 'a', 'finite', 'nematic', 'order', 'helps', 'to', 'stabilize', 'an', 'orbital', 'selective', 'mott', 'phase', 'moreover', 'we', 'propose', 'that', 'when', 'the', 'd', 'and', 'swave', 'bond', 'nematic', 'orders', 'are', 'combined', 'with', 'the', 'ferroorbital', 'order', 'there', 'exists', 'a', 'surprisingly', 'large', 'orbital', 'selectivity', 'between', 'the', 'xz', 'and', 'yz', 'orbitals', 'even', 'though', 'the', 'associated', 'band', 'splitting', 'is', 'relatively', 'small', 'our', 'results', 'explain', 'the', 'seemingly', 'unusual', 'observation', 'of', 'strong', 'orbital', 'selectivity', 'in', 'the', 'nematic', 'phase', 'of', 'fese', 'and', 'uncover', 'new', 'clues', 'on', 'the', 'nature', 'of', 'the', 'nematic', 'order', 'and', 'sets', 'the', 'stage', 'to', 'elucidate', 'the', 'interplay', 'between', 'superconductivity', 'and', 'nematicity', 'in', 'ironbased', 'superconductors']] | [-0.21492532366937667, 0.2182436366612137, -0.05362099072772253, 0.06472898645006353, -0.07541172629862558, -0.13481499502449878, 0.1095021852370337, 0.3796108128881315, -0.26308458523999434, -0.2585717807924084, -0.01875755786022637, -0.3181611346772115, -0.17734164480680192, 0.0768056280194287, 0.03736233201198047, -0.01863198802311672, -0.06037751214489617, -0.062235805904492736, -0.16696898845657415, -0.23134784209742065, 0.32411003697325214, -0.009732183457344945, 0.2926610498689115, 0.08919594914186746, 0.04905383860022994, 0.007229323091451079, 0.11418563506231294, -0.005657435016473755, -0.184027449561313, 0.08129429245309439, 0.2875281083597656, -0.10877123125010257, 0.19223232944932533, -0.4441754138097167, -0.21041403598792385, 0.02686403906409396, 0.11840694862894452, 0.15040898555889726, -0.06562837081764883, -0.2681740422704024, 0.03540666602748388, -0.1799169013465871, -0.12230664362505195, -0.1599366941554763, -0.016233478216349795, -0.029678912191229756, -0.25597146785003133, 0.10917370020069939, 0.09492621534445789, 0.10425531933287857, -0.10497497833421221, -0.10620236865725019, -0.0667237349171046, 0.02433078934632249, 0.1333626779160113, 0.10167314214777434, 0.021489743755410018, -0.11710886087348626, -0.12290577994235719, 0.37934160063014133, -0.005518483342711988, -0.09086769810528494, 0.1832120188337285, -0.20134605950670448, -0.12194666781215346, 0.17361491425253917, 0.09402482526638778, 0.05587652347821859, -0.07675256651293694, 0.050959407822574576, -0.0538595538091613, 0.2469189067305706, -0.02272960383015743, 0.09896637265046593, 0.2649171916709747, 0.1959283595879242, 0.04912541341764154, 0.11642208475132065, -0.1534031638552733, -0.10359983175294474, -0.23235543471673736, -0.1645971556886252, -0.19552804053091677, -0.006520844584883889, -0.09026061715792366, -0.15007578230870422, 0.3991819074981322, 0.1742039742948691, 0.21027371403761208, -0.09384322917321697, 0.1825867390825806, 0.05389416136767977, 0.03466159438539762, 0.00489609462874796, 0.2558086698772968, 0.14871962642973813, 0.0898103880972485, -0.35349564990974613, 0.1300775112458723, 0.060245130567636807] |
1,803.01734 | On the stability of extensions of tangent sheaves on K\"ahler-Einstein
Fano / Calabi-Yau pairs | Let $S$ be a smooth projective variety and $\Delta$ a simple normal crossing
$\mathbb{Q}$-divisor with coefficients in $(0,1]$. For any ample
$\mathbb{Q}$-line bundle $L$ over $S$, we denote by $\mathscr{E}(L)$ the
extension sheaf of the orbifold tangent sheaf $T_S(-\log(\Delta))$ by the
structure sheaf $\mathcal{O}_S$ with the extension class $c_1(L)$. We show the
following two results:
(i) If $-(K_S+\Delta)$ is ample and $(S, \Delta)$ is K-semistable, then for
any $\lambda\in \mathbb{Q}_{>0}$, the extension sheaf $\mathscr{E}({\lambda
c_1(-(K_S+\Delta))})$ is slope semistable with respect to $-(K_S+\Delta)$;
(ii) If $K_S+\Delta\equiv 0$, then for any ample $\mathbb{Q}$-line bundle $L$
over $S$, $\mathscr{E}(L)$ is slope semistable with respect to $L$.
These results generalize Tian's result where $-K_S$ is ample and
$\Delta=\emptyset$. We give two applications of these results. The first is to
study a question by Borbon-Spotti about the relationship between local Euler
numbers and normalized volumes of log canonical surface singularities. We prove
that the two invariants differ only by a factor $4$ when the log canonical pair
is an orbifold cone over a marked Riemann surface. The second application is to
derive Miyaoka-Yau-type inequalities on K-semistable log-smooth Fano pairs and
Calabi-Yau pairs, which generalize some Chern-number inequalities proved by
Song-Wang.
| math.DG math.AG | let s be a smooth projective variety and delta a simple normal crossing mathbbqdivisor with coefficients in 01 for any ample mathbbqline bundle l over s we denote by mathscrel the extension sheaf of the orbifold tangent sheaf t_slogdelta by the structure sheaf mathcalo_s with the extension class c_1l we show the following two results i if k_sdelta is ample and s delta is ksemistable then for any lambdain mathbbq_0 the extension sheaf mathscrelambda c_1k_sdelta is slope semistable with respect to k_sdelta ii if k_sdeltaequiv 0 then for any ample mathbbqline bundle l over s mathscrel is slope semistable with respect to l these results generalize tians result where k_s is ample and deltaemptyset we give two applications of these results the first is to study a question by borbonspotti about the relationship between local euler numbers and normalized volumes of log canonical surface singularities we prove that the two invariants differ only by a factor 4 when the log canonical pair is an orbifold cone over a marked riemann surface the second application is to derive miyaokayautype inequalities on ksemistable logsmooth fano pairs and calabiyau pairs which generalize some chernnumber inequalities proved by songwang | [['let', 's', 'be', 'a', 'smooth', 'projective', 'variety', 'and', 'delta', 'a', 'simple', 'normal', 'crossing', 'mathbbqdivisor', 'with', 'coefficients', 'in', '01', 'for', 'any', 'ample', 'mathbbqline', 'bundle', 'l', 'over', 's', 'we', 'denote', 'by', 'mathscrel', 'the', 'extension', 'sheaf', 'of', 'the', 'orbifold', 'tangent', 'sheaf', 't_slogdelta', 'by', 'the', 'structure', 'sheaf', 'mathcalo_s', 'with', 'the', 'extension', 'class', 'c_1l', 'we', 'show', 'the', 'following', 'two', 'results', 'i', 'if', 'k_sdelta', 'is', 'ample', 'and', 's', 'delta', 'is', 'ksemistable', 'then', 'for', 'any', 'lambdain', 'mathbbq_0', 'the', 'extension', 'sheaf', 'mathscrelambda', 'c_1k_sdelta', 'is', 'slope', 'semistable', 'with', 'respect', 'to', 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1,803.01735 | Differential-recurrence properties of dual Bernstein polynomials | New differential-recurrence properties of dual Bernstein polynomials are
given which follow from relations between dual Bernstein and orthogonal Hahn
and Jacobi polynomials. Using these results, a fourth-order differential
equation satisfied by dual Bernstein polynomials has been constructed. Also, a
fourth-order recurrence relation for these polynomials has been obtained; this
result may be useful in the efficient solution of some computational problems.
| math.NA | new differentialrecurrence properties of dual bernstein polynomials are given which follow from relations between dual bernstein and orthogonal hahn and jacobi polynomials using these results a fourthorder differential equation satisfied by dual bernstein polynomials has been constructed also a fourthorder recurrence relation for these polynomials has been obtained this result may be useful in the efficient solution of some computational problems | [['new', 'differentialrecurrence', 'properties', 'of', 'dual', 'bernstein', 'polynomials', 'are', 'given', 'which', 'follow', 'from', 'relations', 'between', 'dual', 'bernstein', 'and', 'orthogonal', 'hahn', 'and', 'jacobi', 'polynomials', 'using', 'these', 'results', 'a', 'fourthorder', 'differential', 'equation', 'satisfied', 'by', 'dual', 'bernstein', 'polynomials', 'has', 'been', 'constructed', 'also', 'a', 'fourthorder', 'recurrence', 'relation', 'for', 'these', 'polynomials', 'has', 'been', 'obtained', 'this', 'result', 'may', 'be', 'useful', 'in', 'the', 'efficient', 'solution', 'of', 'some', 'computational', 'problems']] | [-0.1393395667632309, 0.052806244117253626, -0.16586738508805388, 0.07858582043096607, -0.16462236453519494, -0.17498230007400767, -0.06218641816226185, 0.3287765937437471, -0.33149503049303275, -0.19152141008220736, 0.11036002925085667, -0.2180604540483385, -0.19513393437764684, 0.2661030007923236, -0.07631828486308699, 0.1437870276420087, 0.030230294409223268, -0.0037591556835247847, -0.17035769973499854, -0.2770006521681293, 0.28671101352474726, 0.013106825181328859, 0.21416642235164515, -0.021787725648552667, 0.12011542853700821, -0.0611524862298345, -0.059942908420945046, -0.02681111367266686, -0.14309376030091625, 0.14014801888375497, 0.3153481361166131, 0.16075461656313206, 0.2489098885008821, -0.395156378506637, -0.11276947752740539, 0.1414991437961332, 0.200595527131599, 0.03261999109355336, -0.08374702513645418, -0.2577820312170709, 0.03492585256634677, -0.13466980334440032, -0.19587314242619228, -0.119430417103357, 0.0021695211590802084, 0.14893962229128743, -0.2912393323466426, 0.09483219701825397, 0.07889502449629096, 0.07122482041461912, -0.005117790949088139, -0.16770596839640228, 0.0010411963019458974, 0.008284177089140553, -0.014780331128200546, 0.008382165934279805, -0.05940715893034319, -0.06477503024507314, -0.16142118871822708, 0.3243845505334559, 0.0027408308548028354, -0.2901406354102932, 0.12056762980083462, -0.13439529770069192, -0.22389937479232178, 0.09795245984721868, 0.1123878209714274, 0.14095532375036693, -0.17652653113435038, 0.11448925719634614, -0.12308532215624315, 0.0411987905924926, 0.22209637770123902, 0.047001512476899585, 0.14574957506150985, -0.03886018416340478, 0.0008876190795639499, 0.16806072877819236, 0.08482021508646793, -0.1116376470270582, -0.28551396251213357, -0.15353469651375637, -0.18668683861061686, 0.05248619223654759, -0.18481877976675426, -0.10475431907860959, 0.3728498716945531, 0.05501444595980412, 0.10951713034425115, 0.09812254817644897, 0.18052364333120527, 0.27007501291447, 0.05521599386559158, 0.03300968449196366, 0.21901475298686, 0.2889932994349081, 0.09833978895159042, -0.19217029834246324, 0.04339529838046578, 0.2681096396714327] |
1,803.01736 | Fast and slow resonant triads in the two layer rotating shallow water
equations | In this paper we examine triad resonances in a rotating shallow water system
when there are two free interfaces. This allows for an examination in a
relatively simple model of the interplay between baroclinic and barotropic
dynamics in a context where there is also a geostrophic mode. In contrast to
the much-studied one-layer rotating shallow water system, we find that as well
as the usual slow geostrophic mode, there are now two fast waves, a barotropic
mode and a baroclinic mode. This feature permits triad resonances to occur
between three fast waves, with a mixture of barotropic and baroclinic modes, an
aspect which cannot occur in the one-layer system. There are now also two
branches of the slow geostrophic mode with a repeated branch of the dispersion
relation. The consequences are explored in a derivation of the full set of
triad interaction equations, using a multi-scale asymptotic expansion based on
a small amplitude parameter. The derived nonlinear interaction coefficients are
confirmed using energy and enstrophy conservation. These triad interaction
equations are explored with an emphasis on the parameter regime with small
Rossby and Froude numbers.
| physics.flu-dyn | in this paper we examine triad resonances in a rotating shallow water system when there are two free interfaces this allows for an examination in a relatively simple model of the interplay between baroclinic and barotropic dynamics in a context where there is also a geostrophic mode in contrast to the muchstudied onelayer rotating shallow water system we find that as well as the usual slow geostrophic mode there are now two fast waves a barotropic mode and a baroclinic mode this feature permits triad resonances to occur between three fast waves with a mixture of barotropic and baroclinic modes an aspect which cannot occur in the onelayer system there are now also two branches of the slow geostrophic mode with a repeated branch of the dispersion relation the consequences are explored in a derivation of the full set of triad interaction equations using a multiscale asymptotic expansion based on a small amplitude parameter the derived nonlinear interaction coefficients are confirmed using energy and enstrophy conservation these triad interaction equations are explored with an emphasis on the parameter regime with small rossby and froude numbers | [['in', 'this', 'paper', 'we', 'examine', 'triad', 'resonances', 'in', 'a', 'rotating', 'shallow', 'water', 'system', 'when', 'there', 'are', 'two', 'free', 'interfaces', 'this', 'allows', 'for', 'an', 'examination', 'in', 'a', 'relatively', 'simple', 'model', 'of', 'the', 'interplay', 'between', 'baroclinic', 'and', 'barotropic', 'dynamics', 'in', 'a', 'context', 'where', 'there', 'is', 'also', 'a', 'geostrophic', 'mode', 'in', 'contrast', 'to', 'the', 'muchstudied', 'onelayer', 'rotating', 'shallow', 'water', 'system', 'we', 'find', 'that', 'as', 'well', 'as', 'the', 'usual', 'slow', 'geostrophic', 'mode', 'there', 'are', 'now', 'two', 'fast', 'waves', 'a', 'barotropic', 'mode', 'and', 'a', 'baroclinic', 'mode', 'this', 'feature', 'permits', 'triad', 'resonances', 'to', 'occur', 'between', 'three', 'fast', 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1,803.01737 | Magnetic field variations associated with umbral flashes and penumbral
waves | Umbral flashes (UF) and running penumbral waves (RPWs) in sunspot
chromospheres leave a dramatic imprint in the intensity profile of the Ca II
854.2 nm line. Recent studies have focussed on also explaining the observed
polarization profiles, that show even more dramatic variations during the
passage of these shock fronts. While most of these variations can be explained
with an almost constant magnetic field as a function of time, several studies
have reported changes in the inferred magnetic field strength during UF phases.
In this study we investigate the origin of these periodic variations of the
magnetic field strength by analyzing a time-series of high temporal cadence
observations acquired in the Ca II line with the CRISP instrument at the
Swedish 1-m Solar Telescope. In particular, we analyze how the inferred
geometrical height scale changes between quiescent and UF phases, and whether
those changes are enough to explain the observed changes in $B$. We have
performed non-LTE data inversions with the NICOLE code of a time-series of very
high spatio-temporal resolution observations in the Ca II and Fe I
630.15\630.25 nm lines. Our results indicate that the Ca II line in sunspots is
greatly sensitive to magnetic fields at $\log\tau_{500}=-5$ during UFs and
quiescence. However, this optical depth value does not correspond to the same
geometrical height during the two phases. Our results indicate that during UFs
and RPWs the $\log\tau=-5$ is located at a higher geometrical height than
during quiescence. Additionally, the inferred magnetic field values are higher
in UFs (~270 G) and in RPWs (~100 G). Our results suggest that opacity changes
caused by UFs and RPWs cannot explain the observed temporal variations in the
magnetic field, as the line seems to form at higher geometrical heights where
the field is expected to be lower.
| astro-ph.SR | umbral flashes uf and running penumbral waves rpws in sunspot chromospheres leave a dramatic imprint in the intensity profile of the ca ii 8542 nm line recent studies have focussed on also explaining the observed polarization profiles that show even more dramatic variations during the passage of these shock fronts while most of these variations can be explained with an almost constant magnetic field as a function of time several studies have reported changes in the inferred magnetic field strength during uf phases in this study we investigate the origin of these periodic variations of the magnetic field strength by analyzing a timeseries of high temporal cadence observations acquired in the ca ii line with the crisp instrument at the swedish 1m solar telescope in particular we analyze how the inferred geometrical height scale changes between quiescent and uf phases and whether those changes are enough to explain the observed changes in b we have performed nonlte data inversions with the nicole code of a timeseries of very high spatiotemporal resolution observations in the ca ii and fe i 6301563025 nm lines our results indicate that the ca ii line in sunspots is greatly sensitive to magnetic fields at logtau_5005 during ufs and quiescence however this optical depth value does not correspond to the same geometrical height during the two phases our results indicate that during ufs and rpws the logtau5 is located at a higher geometrical height than during quiescence additionally the inferred magnetic field values are higher in ufs 270 g and in rpws 100 g our results suggest that opacity changes caused by ufs and rpws cannot explain the observed temporal variations in the magnetic field as the line seems to form at higher geometrical heights where the field is expected to be lower | [['umbral', 'flashes', 'uf', 'and', 'running', 'penumbral', 'waves', 'rpws', 'in', 'sunspot', 'chromospheres', 'leave', 'a', 'dramatic', 'imprint', 'in', 'the', 'intensity', 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1,803.01738 | G-games with coalitions | This paper models games where the strategies are nodes of a graph G (we
denote them as G-games) and in presence of coalition structures. The cases of
one-shot and repeated games are presented. In the latter situation, coalitions
are assumed to move from a strategy to another one under the constraint that
they are adjacent in the graph. We introduce novel concepts of pure and mixed
equilibria which are comparable with classical Nash and Berge equilibria. A
Folk Theorem for G-games of repeated type is presented. Moreover, equilibria
are proven to be described through suitably defined Markov Chains, hence
leading to a constrained Monte Carlo Markov Chain procedure.
| math.PR | this paper models games where the strategies are nodes of a graph g we denote them as ggames and in presence of coalition structures the cases of oneshot and repeated games are presented in the latter situation coalitions are assumed to move from a strategy to another one under the constraint that they are adjacent in the graph we introduce novel concepts of pure and mixed equilibria which are comparable with classical nash and berge equilibria a folk theorem for ggames of repeated type is presented moreover equilibria are proven to be described through suitably defined markov chains hence leading to a constrained monte carlo markov chain procedure | [['this', 'paper', 'models', 'games', 'where', 'the', 'strategies', 'are', 'nodes', 'of', 'a', 'graph', 'g', 'we', 'denote', 'them', 'as', 'ggames', 'and', 'in', 'presence', 'of', 'coalition', 'structures', 'the', 'cases', 'of', 'oneshot', 'and', 'repeated', 'games', 'are', 'presented', 'in', 'the', 'latter', 'situation', 'coalitions', 'are', 'assumed', 'to', 'move', 'from', 'a', 'strategy', 'to', 'another', 'one', 'under', 'the', 'constraint', 'that', 'they', 'are', 'adjacent', 'in', 'the', 'graph', 'we', 'introduce', 'novel', 'concepts', 'of', 'pure', 'and', 'mixed', 'equilibria', 'which', 'are', 'comparable', 'with', 'classical', 'nash', 'and', 'berge', 'equilibria', 'a', 'folk', 'theorem', 'for', 'ggames', 'of', 'repeated', 'type', 'is', 'presented', 'moreover', 'equilibria', 'are', 'proven', 'to', 'be', 'described', 'through', 'suitably', 'defined', 'markov', 'chains', 'hence', 'leading', 'to', 'a', 'constrained', 'monte', 'carlo', 'markov', 'chain', 'procedure']] | [-0.12801100143213878, 0.11808021041511926, -0.10192748693362721, 0.09379945778867828, -0.05743678077124059, -0.19401249131363518, 0.08630485181753822, 0.405775214580573, -0.3228159893066886, -0.29930664233441623, 0.11310352529135514, -0.24418184359311917, -0.1382703640375216, 0.10475309606079224, -0.1076331184386223, 0.006736356765031815, 0.10777999074549748, 0.03721048811643894, 0.02561898749730251, -0.265430411166305, 0.3166549357076017, 0.011101090226252124, 0.20922378540249928, -0.021153375728798256, 0.07972124593446629, -0.0031619750815531553, 0.005138682491444754, 0.10068159836097244, -0.13836847607493633, 0.09277043385510245, 0.29985864721129474, 0.14347651416330404, 0.30577201761727063, -0.44237778105614883, -0.15929543960154197, 0.1982509889639914, 0.10898436857211702, 0.11314798757227419, 0.02321561762430477, -0.2739352645651209, 0.12782703390134112, -0.18070542272004597, -0.08090610872681762, -0.055426554152531164, -0.0358543908399231, 0.06237641080581355, -0.3244682220162226, 0.010028486878101556, 0.07450619013101425, 0.0405995270571197, -0.004102816963392608, -0.12875437135544587, -0.03882016307445911, 0.11895228989580471, 0.009956485966334716, -0.026198630910893937, 0.11040346480396418, -0.1074897652197594, -0.2222510558072003, 0.37815417219304814, -0.026901712720194516, -0.20958736888572294, 0.18598780220040595, -0.06274521810151988, -0.16066312324585183, 0.10087555165420163, 0.12315787172015265, 0.2074339167683886, -0.13993477391711664, 0.0706901737299494, -0.07439726136870822, 0.09901992389097598, 0.050208065781812625, 0.011806792566412181, 0.16302242804810685, 0.11520517910698885, 0.14011878538151923, 0.18275973653609706, 0.01052159665537919, -0.21541768616012666, -0.2814135760033749, -0.11886774410080728, -0.15533712301798658, 0.02005259466208166, -0.06042052737716146, -0.18855860941814925, 0.33328614870683765, 0.09691429784646421, 0.11381407345662702, 0.09255724837059015, 0.2324797592108261, 0.10284586943013875, -0.002670599083978472, 0.10570563829749963, 0.19111698608458885, 0.15268804536218633, 0.045734623921507934, -0.1439755295583416, 0.0995228805421096, 0.09195477329194546] |
1,803.01739 | On particular families of hyperquadratic continued fractions in power
series fields of odd characteristic | We discuss the form of certain algebraic continued fractions in the field of
power series over $F_p$, where p is an odd prime number. This leads to give
explicit continued fractions in these fields, satisfying an explicit algebraic
equation of arbitrary degree $d\geq 2$ and having an irrationality measure
equal to $d$. Our results are based on a mysterious finite sequence of rational
numbers.
| math.NT | we discuss the form of certain algebraic continued fractions in the field of power series over f_p where p is an odd prime number this leads to give explicit continued fractions in these fields satisfying an explicit algebraic equation of arbitrary degree dgeq 2 and having an irrationality measure equal to d our results are based on a mysterious finite sequence of rational numbers | [['we', 'discuss', 'the', 'form', 'of', 'certain', 'algebraic', 'continued', 'fractions', 'in', 'the', 'field', 'of', 'power', 'series', 'over', 'f_p', 'where', 'p', 'is', 'an', 'odd', 'prime', 'number', 'this', 'leads', 'to', 'give', 'explicit', 'continued', 'fractions', 'in', 'these', 'fields', 'satisfying', 'an', 'explicit', 'algebraic', 'equation', 'of', 'arbitrary', 'degree', 'dgeq', '2', 'and', 'having', 'an', 'irrationality', 'measure', 'equal', 'to', 'd', 'our', 'results', 'are', 'based', 'on', 'a', 'mysterious', 'finite', 'sequence', 'of', 'rational', 'numbers']] | [-0.26144628385372926, 0.1421595359922776, -0.10044072779419366, 0.04150903958361596, -0.08505497351143276, -0.10963435678422684, 0.02901732011741842, 0.2770358870329801, -0.2615656431589741, -0.2472338775114622, 0.049004429591150256, -0.24307978732394986, -0.11131666403525742, 0.23571912421903107, -0.0726530526735587, 0.005184015330087277, -0.06137957285318407, 0.1406973525590729, -0.04591628500566003, -0.3635232102824375, 0.33623987034661695, -0.05991839192574844, 0.16053622493927833, 0.03937333796056919, 0.1066567133020726, 0.007340214600844774, -0.04115588470813236, -0.03615536344295833, -0.18348509036877658, 0.1292801528252312, 0.26497922389535233, 0.11124349464807892, 0.23392574157333001, -0.4181048520549666, -0.08341797372122528, 0.22401530019124039, 0.17822180983785074, 0.021667298060492612, -0.035213663957620156, -0.17679565845173784, 0.13246312148112338, -0.16951512364562404, -0.20549171083257534, -0.10964731800777372, 0.12805534781546157, 0.08207100254367106, -0.29921535988978576, 0.025181179313221946, 0.07432826359035971, 0.1921983315696707, -0.04334810771615594, -0.1896773456282972, 0.07043652737411321, 0.07540936313307611, 0.017805475854402175, 0.06727273207798135, 0.0032060702578746714, -0.12823729320734856, -0.09980075355269946, 0.3372229910455644, -0.01815817176247947, -0.2361060290131718, 0.11531598798683262, -0.20715420147462282, -0.13549127602163935, 0.21462395958951674, 0.16577982805029023, 0.10942870436701924, 0.008893416175851598, 0.15519775308985118, -0.09739060535503086, 0.1482206467881042, 0.1125191247483599, 0.00870418583508581, 0.15476932900492102, 0.03364001025329344, 0.03137114030687371, 0.15735948439032654, 0.02217886054495466, -0.0332577506051166, -0.3536694225585961, -0.1891658176900819, -0.14453092258190736, 0.19829424595809542, -0.15967890734441426, -0.16951832821359858, 0.3515985099184036, 0.043819161131978035, 0.20435936242574826, 0.14663568801188376, 0.2338624423427973, 0.17612306109549536, -0.02258573735707614, 0.009659801239649823, 0.08652613457525149, 0.19755205412275245, -0.009505930693194387, -0.16810275885654846, 0.0015375613729702309, 0.10568868103291607] |
1,803.0174 | Infinitely generated pseudocompact modules for finite groups and Weiss'
Theorem | One of the most beautiful results in the integral representation theory of
finite groups is a theorem of A. Weiss that detects a permutation $R$-lattice
for the finite $p$-group $G$ in terms of the restriction to a normal subgroup
$N$ and the $N$-fixed points of the lattice, where $R$ is a finite extension of
the $p$-adic integers. Using techniques from relative homological algebra, we
generalize Weiss' Theorem to the class of infinitely generated pseudocompact
lattices for a finite $p$-group, allowing $R$ to be any complete discrete
valuation ring in mixed characteristic. A related theorem of Cliff and Weiss is
also generalized to this class of modules. The existence of the permutation
cover of a pseudocompact module is proved as a special case of a more general
result. The permutation cover is explicitly described.
| math.RT | one of the most beautiful results in the integral representation theory of finite groups is a theorem of a weiss that detects a permutation rlattice for the finite pgroup g in terms of the restriction to a normal subgroup n and the nfixed points of the lattice where r is a finite extension of the padic integers using techniques from relative homological algebra we generalize weiss theorem to the class of infinitely generated pseudocompact lattices for a finite pgroup allowing r to be any complete discrete valuation ring in mixed characteristic a related theorem of cliff and weiss is also generalized to this class of modules the existence of the permutation cover of a pseudocompact module is proved as a special case of a more general result the permutation cover is explicitly described | [['one', 'of', 'the', 'most', 'beautiful', 'results', 'in', 'the', 'integral', 'representation', 'theory', 'of', 'finite', 'groups', 'is', 'a', 'theorem', 'of', 'a', 'weiss', 'that', 'detects', 'a', 'permutation', 'rlattice', 'for', 'the', 'finite', 'pgroup', 'g', 'in', 'terms', 'of', 'the', 'restriction', 'to', 'a', 'normal', 'subgroup', 'n', 'and', 'the', 'nfixed', 'points', 'of', 'the', 'lattice', 'where', 'r', 'is', 'a', 'finite', 'extension', 'of', 'the', 'padic', 'integers', 'using', 'techniques', 'from', 'relative', 'homological', 'algebra', 'we', 'generalize', 'weiss', 'theorem', 'to', 'the', 'class', 'of', 'infinitely', 'generated', 'pseudocompact', 'lattices', 'for', 'a', 'finite', 'pgroup', 'allowing', 'r', 'to', 'be', 'any', 'complete', 'discrete', 'valuation', 'ring', 'in', 'mixed', 'characteristic', 'a', 'related', 'theorem', 'of', 'cliff', 'and', 'weiss', 'is', 'also', 'generalized', 'to', 'this', 'class', 'of', 'modules', 'the', 'existence', 'of', 'the', 'permutation', 'cover', 'of', 'a', 'pseudocompact', 'module', 'is', 'proved', 'as', 'a', 'special', 'case', 'of', 'a', 'more', 'general', 'result', 'the', 'permutation', 'cover', 'is', 'explicitly', 'described']] | [-0.15895430323805407, 0.12214907761804308, -0.14967166333614537, 0.0595958937121781, -0.10989509519739923, -0.14869363778835218, 0.0246171294808543, 0.2861665438324439, -0.3370380075621969, -0.1819375151147445, 0.0955476386403792, -0.2255636107998505, -0.10139288634209978, 0.22290035819804127, -0.14093995127989206, -0.04021376274282706, 0.012408976746497281, 0.11946379154864134, -0.07157892765032804, -0.3020136854046899, 0.32874330607680324, -0.05165291158570626, 0.21880749241575936, 0.0582760595381401, 0.08896114192479714, 0.04163758185512217, -0.029094814058308573, 0.03100528649520129, -0.11960867321971763, 0.12491666677206839, 0.31437898111691925, 0.05103968483198321, 0.2601885336952171, -0.31231089282752666, -0.17488457439255647, 0.20446927872641632, 0.0785965654914352, 0.052234601829144536, -0.013473616012175406, -0.2570956909418755, 0.1874214946715669, -0.2176078458909284, -0.17185777800411664, -0.050327332531609995, 0.0932718479660142, 0.008070442903166017, -0.30731664118215896, 0.012950831182630887, 0.15553478192332754, 0.15531440690216242, -0.03792170026149093, -0.0723380871976119, -0.01684479560583096, 0.07206320623641438, -0.02155600685915543, 0.03674694147158527, 0.05709257568742032, -0.0687466553733402, -0.1372731813290474, 0.3806633664661962, -0.08105403093169584, -0.20062853561036967, 0.13026282133774436, -0.16804125116940474, -0.17173895625411673, 0.12747457043257204, 0.06709950602133617, 0.17696291335265746, -0.035533313272577347, 0.20980979560678834, -0.18581603146440379, 0.08758566776558643, 0.09724111072577987, -0.028322648156035662, 0.11602146090996085, 0.1003832615626214, 0.10665153115515943, 0.179915447748499, 0.021545486340376858, -0.014898771346038715, -0.36645762060740683, -0.16894581838454487, -0.20429739682709402, 0.10265772882848978, -0.10009790938607749, -0.20309494512868254, 0.4285893404686993, 0.06767675020576765, 0.1296189287077692, 0.10559258744416927, 0.18068420501764526, 0.0685160914779937, 0.07264642043843526, 0.0508807755840914, 0.0529457169812469, 0.2590827285947109, -0.038118532999898445, -0.15159932505004248, -0.02333017506559069, 0.19940859562660934] |
1,803.01741 | An infinite surface with the lattice property II: Dynamics of
pseudo-Anosovs | We study the behavior of hyperbolic affine automorphisms of a translation
surface which is infinite in area and genus that is obtained as a limit of
surfaces built from regular polygons studied by Veech. We find that hyperbolic
affine automorphisms are not recurrent and yet their action restricted to
cylinders satisfies a mixing-type formula with polynomial decay. Then we
consider the extent to which the action of these hyperbolic affine
automorphisms satisfy Thurston's definition of a pseudo-Anosov homeomorphism.
In particular we study the action of these automorphisms on simple closed
curves and on homology classes. These objects are exponentially attracted by
the expanding and contracting foliations but exhibit polynomial decay. We are
able to work out exact asymptotics of these limiting quantities because of
special integral formula for algebraic intersection number which is attuned to
the geometry of the surface and its deformations.
| math.DS math.GT | we study the behavior of hyperbolic affine automorphisms of a translation surface which is infinite in area and genus that is obtained as a limit of surfaces built from regular polygons studied by veech we find that hyperbolic affine automorphisms are not recurrent and yet their action restricted to cylinders satisfies a mixingtype formula with polynomial decay then we consider the extent to which the action of these hyperbolic affine automorphisms satisfy thurstons definition of a pseudoanosov homeomorphism in particular we study the action of these automorphisms on simple closed curves and on homology classes these objects are exponentially attracted by the expanding and contracting foliations but exhibit polynomial decay we are able to work out exact asymptotics of these limiting quantities because of special integral formula for algebraic intersection number which is attuned to the geometry of the surface and its deformations | [['we', 'study', 'the', 'behavior', 'of', 'hyperbolic', 'affine', 'automorphisms', 'of', 'a', 'translation', 'surface', 'which', 'is', 'infinite', 'in', 'area', 'and', 'genus', 'that', 'is', 'obtained', 'as', 'a', 'limit', 'of', 'surfaces', 'built', 'from', 'regular', 'polygons', 'studied', 'by', 'veech', 'we', 'find', 'that', 'hyperbolic', 'affine', 'automorphisms', 'are', 'not', 'recurrent', 'and', 'yet', 'their', 'action', 'restricted', 'to', 'cylinders', 'satisfies', 'a', 'mixingtype', 'formula', 'with', 'polynomial', 'decay', 'then', 'we', 'consider', 'the', 'extent', 'to', 'which', 'the', 'action', 'of', 'these', 'hyperbolic', 'affine', 'automorphisms', 'satisfy', 'thurstons', 'definition', 'of', 'a', 'pseudoanosov', 'homeomorphism', 'in', 'particular', 'we', 'study', 'the', 'action', 'of', 'these', 'automorphisms', 'on', 'simple', 'closed', 'curves', 'and', 'on', 'homology', 'classes', 'these', 'objects', 'are', 'exponentially', 'attracted', 'by', 'the', 'expanding', 'and', 'contracting', 'foliations', 'but', 'exhibit', 'polynomial', 'decay', 'we', 'are', 'able', 'to', 'work', 'out', 'exact', 'asymptotics', 'of', 'these', 'limiting', 'quantities', 'because', 'of', 'special', 'integral', 'formula', 'for', 'algebraic', 'intersection', 'number', 'which', 'is', 'attuned', 'to', 'the', 'geometry', 'of', 'the', 'surface', 'and', 'its', 'deformations']] | [-0.17558280552307573, 0.11764088852519912, -0.11292159839995675, 0.06888393173889759, -0.11952652830070445, -0.14302498880786807, -0.0008897649651797084, 0.35924853015059305, -0.3124715836907548, -0.22099315476688472, 0.1365381972528457, -0.28198577554968113, -0.1811199982640809, 0.22736420981761823, -0.14956328508255262, 0.06117697542987542, 0.045670105273822335, 0.08152524105409954, -0.11089348933786493, -0.27695589285128963, 0.3841114843824318, -0.03617260854026153, 0.21589017394031365, 0.06101726524538354, 0.12046146798240659, -0.046254564089687554, -0.017766438369228914, 0.039450945918793445, -0.1911486792578598, 0.13293016783671674, 0.25755697870431665, 0.04278085959775673, 0.1364713482757366, -0.3965706921514723, -0.1680516399667992, 0.17169943506914107, 0.16036996857582272, 0.02711583050246712, -0.029668677684531866, -0.2661423657050395, 0.07130618851429985, -0.1333940842000025, -0.19632821617700108, -0.09136577637970343, 0.06755740386987483, 0.03598586006995316, -0.1624708165141096, -0.006980943246060735, 0.13974626099046034, 0.12625151385481542, -0.056950146471593084, -0.03620672188748091, -0.06392986822541204, 0.1289356853226786, 0.06196988579878988, 0.019976712720976633, 0.12345289359507444, -0.07650630675269278, -0.07117134435883873, 0.36752241870088803, -0.039050201305767876, -0.2683645995607326, 0.15262084368981058, -0.17462252973012263, -0.18724820565862152, 0.14874672236888167, 0.16406852301695365, 0.16097321035666065, -0.08375254003135683, 0.1718386444112553, -0.09935930204883843, 0.052498265498454544, 0.12192150954665108, -0.016295191011280862, 0.15179631174778097, 0.0690004312762196, 0.0785141329385236, 0.18380236023323857, -0.0026180329276704706, -0.09875644687514336, -0.3268239921076106, -0.16235011519287823, -0.11663965099178568, 0.14725911651969598, -0.0902319558845447, -0.23870998210683986, 0.39152465050167345, 0.02881817440209272, 0.1804245564096666, 0.16845658544200257, 0.2063887266741766, 0.06318465771904164, 0.08687119105980581, 0.09971661369114385, 0.15940291116053198, 0.16096299565950786, -0.06404678316435197, -0.17660238889902438, 0.006592347374563659, 0.21910978847841076] |
1,803.01742 | Radiative effects of daily cloud cycle: general methodology and
application to cloud fraction | The daily cloud cycle (DCC) and its response to global warming are critical
to the Earth's energy budget, but their radiative effects have not been
systematically quantified. Toward this goal, here we analyze the radiation at
the top of the atmosphere and propose a measure of the DCC radiative effect
(DCCRE) as the difference between the total radiative fluxes with the full
cloud cycle and its uniformly distributed cloud counterpart. We apply it to the
cloud fraction from four climate models that participated in the second phase
of the Cloud Feedback Model Inter-comparison Project. The results allow us to
objectively compare inter-model differences in the daily cycle of cloud
fraction and their influences on the global energy balance. In particular, the
spatial patterns of the DCC response to global warming obtained in our analysis
suggest possible impacts on large-scale circulation. Such a framework can be
used for conducting a more systematic evaluation of the DCC in climate models
and observations with the goal to reduce uncertainty in climate projections.
| physics.ao-ph | the daily cloud cycle dcc and its response to global warming are critical to the earths energy budget but their radiative effects have not been systematically quantified toward this goal here we analyze the radiation at the top of the atmosphere and propose a measure of the dcc radiative effect dccre as the difference between the total radiative fluxes with the full cloud cycle and its uniformly distributed cloud counterpart we apply it to the cloud fraction from four climate models that participated in the second phase of the cloud feedback model intercomparison project the results allow us to objectively compare intermodel differences in the daily cycle of cloud fraction and their influences on the global energy balance in particular the spatial patterns of the dcc response to global warming obtained in our analysis suggest possible impacts on largescale circulation such a framework can be used for conducting a more systematic evaluation of the dcc in climate models and observations with the goal to reduce uncertainty in climate projections | [['the', 'daily', 'cloud', 'cycle', 'dcc', 'and', 'its', 'response', 'to', 'global', 'warming', 'are', 'critical', 'to', 'the', 'earths', 'energy', 'budget', 'but', 'their', 'radiative', 'effects', 'have', 'not', 'been', 'systematically', 'quantified', 'toward', 'this', 'goal', 'here', 'we', 'analyze', 'the', 'radiation', 'at', 'the', 'top', 'of', 'the', 'atmosphere', 'and', 'propose', 'a', 'measure', 'of', 'the', 'dcc', 'radiative', 'effect', 'dccre', 'as', 'the', 'difference', 'between', 'the', 'total', 'radiative', 'fluxes', 'with', 'the', 'full', 'cloud', 'cycle', 'and', 'its', 'uniformly', 'distributed', 'cloud', 'counterpart', 'we', 'apply', 'it', 'to', 'the', 'cloud', 'fraction', 'from', 'four', 'climate', 'models', 'that', 'participated', 'in', 'the', 'second', 'phase', 'of', 'the', 'cloud', 'feedback', 'model', 'intercomparison', 'project', 'the', 'results', 'allow', 'us', 'to', 'objectively', 'compare', 'intermodel', 'differences', 'in', 'the', 'daily', 'cycle', 'of', 'cloud', 'fraction', 'and', 'their', 'influences', 'on', 'the', 'global', 'energy', 'balance', 'in', 'particular', 'the', 'spatial', 'patterns', 'of', 'the', 'dcc', 'response', 'to', 'global', 'warming', 'obtained', 'in', 'our', 'analysis', 'suggest', 'possible', 'impacts', 'on', 'largescale', 'circulation', 'such', 'a', 'framework', 'can', 'be', 'used', 'for', 'conducting', 'a', 'more', 'systematic', 'evaluation', 'of', 'the', 'dcc', 'in', 'climate', 'models', 'and', 'observations', 'with', 'the', 'goal', 'to', 'reduce', 'uncertainty', 'in', 'climate', 'projections']] | [-0.09228276903533177, 0.0911415067773002, -0.07323486713548413, 0.08634581494663421, -0.02077208800862233, -0.0023639317826434436, 0.12862507653855054, 0.365250762014295, -0.258593685869571, -0.3476995985561405, 0.11874506787890346, -0.27358666424455197, -0.11735013624066985, 0.16302979889275906, -0.052206044882214406, 0.05626035251528568, 0.05463665933902597, -0.008476924802553618, -0.002979408200189937, -0.2168660224027311, 0.2828355419145997, 0.11686418176118639, 0.27103967757596237, 0.07552523255470164, 0.04150061173727625, -0.0791198705611307, -0.081399628609818, -0.0007154484497039535, -0.10488214355795901, 0.12249481655141738, 0.20499944116649463, 0.165560941470349, 0.24519573628813737, -0.4789316911982106, -0.24345280544921047, 0.13462103479486404, 0.08397094178750801, 0.07450280408929325, 0.004236484192699122, -0.2174464637812759, 0.037555877913075075, -0.20075688374968845, -0.11645426602280211, -0.05173718275147535, 0.02900942752049083, 0.009342553204695443, -0.25172833309763865, 0.0495051834344243, 0.013955511804115736, 0.10927784439852639, -0.0978899596042798, -0.10301921123062216, -0.09007606749461654, 0.18435329748206727, 0.05388805935356123, 0.024444755784878952, 0.17639871197752655, -0.1173406274215917, -0.06897870626250681, 0.41987539599427864, -0.0930225449195686, -0.15256344286414483, 0.19880784871167548, -0.17322663314795742, -0.13099892131452048, 0.12111492455144235, 0.23688853446704647, 0.06819198889535896, -0.15819364483468235, -0.001448054411628705, -0.017966260933982476, 0.1698417499199942, -0.014293637667183898, -0.013230003143516592, 0.2418712279121835, 0.17837112917914055, 0.08172138331186336, 0.12195853419515992, -0.1422167010366268, -0.13835421537216808, -0.2385914196992027, -0.12492765788365864, -0.09228179613100587, 0.01619685297893219, -0.053515885390706466, -0.12851285465460802, 0.42400637162583216, 0.20444146794588527, 0.1767170659160391, 0.035850675482790736, 0.32914133896009024, 0.07866916508508093, 0.06943218951069173, 0.09632751473968494, 0.2769357642682735, 0.09049772100323546, 0.16688020909177362, -0.2949094340218012, 0.09438685278707583, 0.01573536392035229] |
1,803.01743 | Oscillatory surface rheotaxis of swimming E. coli bacteria | Bacterial contamination of biological conducts, catheters or water resources
is a major threat to public health and can be amplified by the ability of
bacteria to swim upstream. The mechanisms of this rheotaxis, the reorientation
with respect to flow gradients, often in complex and confined environments, are
still poorly understood. Here, we follow individual E. coli bacteria swimming
at surfaces under shear flow with two complementary experimental assays, based
on 3D Lagrangian tracking and fluorescent flagellar labelling and we develop a
theoretical model for their rheotactic motion. Three transitions are identified
with increasing shear rate: Above a first critical shear rate, bacteria shift
to swimming upstream. After a second threshold, we report the discovery of an
oscillatory rheotaxis. Beyond a third transition, we further observe
coexistence of rheotaxis along the positive and negative vorticity directions.
A full theoretical analysis explains these regimes and predicts the
corresponding critical shear rates. The predicted transitions as well as the
oscillation dynamics are in good agreement with experimental observations. Our
results shed new light on bacterial transport and reveal new strategies for
contamination prevention.
| cond-mat.soft physics.bio-ph physics.flu-dyn | bacterial contamination of biological conducts catheters or water resources is a major threat to public health and can be amplified by the ability of bacteria to swim upstream the mechanisms of this rheotaxis the reorientation with respect to flow gradients often in complex and confined environments are still poorly understood here we follow individual e coli bacteria swimming at surfaces under shear flow with two complementary experimental assays based on 3d lagrangian tracking and fluorescent flagellar labelling and we develop a theoretical model for their rheotactic motion three transitions are identified with increasing shear rate above a first critical shear rate bacteria shift to swimming upstream after a second threshold we report the discovery of an oscillatory rheotaxis beyond a third transition we further observe coexistence of rheotaxis along the positive and negative vorticity directions a full theoretical analysis explains these regimes and predicts the corresponding critical shear rates the predicted transitions as well as the oscillation dynamics are in good agreement with experimental observations our results shed new light on bacterial transport and reveal new strategies for contamination prevention | [['bacterial', 'contamination', 'of', 'biological', 'conducts', 'catheters', 'or', 'water', 'resources', 'is', 'a', 'major', 'threat', 'to', 'public', 'health', 'and', 'can', 'be', 'amplified', 'by', 'the', 'ability', 'of', 'bacteria', 'to', 'swim', 'upstream', 'the', 'mechanisms', 'of', 'this', 'rheotaxis', 'the', 'reorientation', 'with', 'respect', 'to', 'flow', 'gradients', 'often', 'in', 'complex', 'and', 'confined', 'environments', 'are', 'still', 'poorly', 'understood', 'here', 'we', 'follow', 'individual', 'e', 'coli', 'bacteria', 'swimming', 'at', 'surfaces', 'under', 'shear', 'flow', 'with', 'two', 'complementary', 'experimental', 'assays', 'based', 'on', '3d', 'lagrangian', 'tracking', 'and', 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'reveal', 'new', 'strategies', 'for', 'contamination', 'prevention']] | [-0.13224668121224062, 0.17825834822538633, -0.04465545321452535, 0.02526941524184723, -0.0580352373731633, -0.14530436061322688, 0.07244122582617113, 0.38875359918715224, -0.2670506346763836, -0.2710143510552977, 0.06648060369382923, -0.2845203590424111, -0.18573021374047838, 0.19380773489020714, -0.06747882718272093, 0.04968534145090315, 0.042985823733680366, -0.027967893237817204, 0.04435934401375966, -0.17077585444603754, 0.21427351501252917, 0.059221538285621336, 0.31981871239840987, 0.0606204732330904, 0.09448356308922586, -0.06489842401950024, -0.016696047920009328, 0.023473376891989674, -0.1922149103518071, 0.09105860683193896, 0.23729531875837387, 0.06861053403247044, 0.23527220899704843, -0.4528100202480952, -0.24484731768154436, 0.0761381263028549, 0.17774678783801695, 0.15539529806830818, -0.07871033131377772, -0.2660160844692857, 0.048847700946498665, -0.10789478285910768, -0.13271512822506742, 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1,803.01744 | An It\^o type formula for the additive stochastic heat equation | We use the theory of regularity structures to develop an It\^o formula for
$u$, the solution of the one dimensional stochastic heat equation driven by
space-time white noise with periodic boundary conditions. In particular for any
smooth enough function $\varphi$ we can express the random distribution
$(\partial_t-\partial_{xx})\varphi(u)$ and the random field $\varphi(u)$ in
terms of the reconstruction of some modelled distributions. The resulting
objects are then identified with some classical constructions of stochastic
calculus.
| math.PR | we use the theory of regularity structures to develop an ito formula for u the solution of the one dimensional stochastic heat equation driven by spacetime white noise with periodic boundary conditions in particular for any smooth enough function varphi we can express the random distribution partial_tpartial_xxvarphiu and the random field varphiu in terms of the reconstruction of some modelled distributions the resulting objects are then identified with some classical constructions of stochastic calculus | [['we', 'use', 'the', 'theory', 'of', 'regularity', 'structures', 'to', 'develop', 'an', 'ito', 'formula', 'for', 'u', 'the', 'solution', 'of', 'the', 'one', 'dimensional', 'stochastic', 'heat', 'equation', 'driven', 'by', 'spacetime', 'white', 'noise', 'with', 'periodic', 'boundary', 'conditions', 'in', 'particular', 'for', 'any', 'smooth', 'enough', 'function', 'varphi', 'we', 'can', 'express', 'the', 'random', 'distribution', 'partial_tpartial_xxvarphiu', 'and', 'the', 'random', 'field', 'varphiu', 'in', 'terms', 'of', 'the', 'reconstruction', 'of', 'some', 'modelled', 'distributions', 'the', 'resulting', 'objects', 'are', 'then', 'identified', 'with', 'some', 'classical', 'constructions', 'of', 'stochastic', 'calculus']] | [-0.120028550908837, 0.0944779460935946, -0.08393798350063089, 0.07575230357198887, -0.06589110001398582, -0.12332506034736943, -0.012826040146349329, 0.3383876806099529, -0.32396709385697975, -0.24545094463814765, 0.11278451175256696, -0.25329275574688226, -0.17824327801864542, 0.17372743292928558, -0.1246115491113128, 0.06255022230341215, 0.020658781774316546, 0.046111293155412916, -0.08831521233365144, -0.2283818769230418, 0.36214129060781114, -0.035515994190761485, 0.1841011510855735, -0.037962024377607935, 0.13497853557234757, 0.01203172697928058, -0.02839431065224009, 0.02332137962675666, -0.17922804776375015, 0.10131219513586735, 0.20464585680029776, 0.0629689720816502, 0.2534135015592081, -0.45029075647870154, -0.25330424850985206, 0.11762586279376729, 0.08675004701905131, 0.07741882685214689, -0.0500746499491881, -0.2847042462648186, 0.08928609653439833, -0.1215939316196903, -0.19115993177058965, -0.07613645968257055, 0.002717421500152615, 0.10042604189110946, -0.298402718421429, 0.06195866472202621, 0.1027644255265517, 0.0177430703547107, -0.11110662028419925, -0.09142882125579739, -0.03105595775509942, 0.08816023220703618, 0.025899201644303864, 0.018722686348865702, 0.0822520616451559, -0.14147874243584962, -0.10115140115791192, 0.31054243939842596, -0.11799304962974705, -0.3086099298112732, 0.16375723833294764, -0.173864281678904, -0.10243718608678, 0.1184037814605726, 0.1354159673242128, 0.1616622689499022, -0.18854615102483802, 0.15385603108554952, -0.007593653137693565, 0.10056430473923683, 0.10941591497178968, 0.031013763229018203, 0.12737771975871634, 0.09567182574880449, 0.07718348217337098, 0.15906935218842827, -0.08155066691887604, -0.12881133340503256, -0.37015774810355, -0.13427638952709633, -0.14626022949113116, 0.0984014020594832, -0.15697717439356956, -0.25974796519755095, 0.33288144525650837, 0.13332800300989606, 0.17372397918968577, 0.04784635990245702, 0.23748435517007563, 0.2281198888787464, -0.022164959766685147, 0.08180951954133503, 0.10953904283376513, 0.2147718333856088, 0.11518730797919713, -0.1570619112040133, 0.06106677042218308, 0.10778160488284001] |
1,803.01745 | Building an Integrated Mobile Robotic System for Real-Time Applications
in Construction | One of the major challenges of a real-time autonomous robotic system for
construction monitoring is to simultaneously localize, map, and navigate over
the lifetime of the robot, with little or no human intervention. Past research
on Simultaneous Localization and Mapping (SLAM) and context-awareness are two
active research areas in the computer vision and robotics communities. The
studies that integrate both in real-time into a single modular framework for
construction monitoring still need further investigation. A monocular vision
system and real-time scene understanding are computationally heavy and the
major state-of-the-art algorithms are tested on high-end desktops and/or
servers with a high CPU- and/or GPU- computing capabilities, which affect their
mobility and deployment for real-world applications. To address these
challenges and achieve automation, this paper proposes an integrated robotic
computer vision system, which generates a real-world spatial map of the
obstacles and traversable space present in the environment in near real-time.
This is done by integrating contextual Awareness and visual SLAM into a ground
robotics agent. This paper presents the hardware utilization and performance of
the aforementioned system for three different outdoor environments, which
represent the applicability of this pipeline to diverse outdoor scenes in near
real-time. The entire system is also self-contained and does not require user
input, which demonstrates the potential of this computer vision system for
autonomous navigation.
| cs.RO | one of the major challenges of a realtime autonomous robotic system for construction monitoring is to simultaneously localize map and navigate over the lifetime of the robot with little or no human intervention past research on simultaneous localization and mapping slam and contextawareness are two active research areas in the computer vision and robotics communities the studies that integrate both in realtime into a single modular framework for construction monitoring still need further investigation a monocular vision system and realtime scene understanding are computationally heavy and the major stateoftheart algorithms are tested on highend desktops andor servers with a high cpu andor gpu computing capabilities which affect their mobility and deployment for realworld applications to address these challenges and achieve automation this paper proposes an integrated robotic computer vision system which generates a realworld spatial map of the obstacles and traversable space present in the environment in near realtime this is done by integrating contextual awareness and visual slam into a ground robotics agent this paper presents the hardware utilization and performance of the aforementioned system for three different outdoor environments which represent the applicability of this pipeline to diverse outdoor scenes in near realtime the entire system is also selfcontained and does not require user input which demonstrates the potential of this computer vision system for autonomous navigation | [['one', 'of', 'the', 'major', 'challenges', 'of', 'a', 'realtime', 'autonomous', 'robotic', 'system', 'for', 'construction', 'monitoring', 'is', 'to', 'simultaneously', 'localize', 'map', 'and', 'navigate', 'over', 'the', 'lifetime', 'of', 'the', 'robot', 'with', 'little', 'or', 'no', 'human', 'intervention', 'past', 'research', 'on', 'simultaneous', 'localization', 'and', 'mapping', 'slam', 'and', 'contextawareness', 'are', 'two', 'active', 'research', 'areas', 'in', 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1,803.01746 | Low Redshift Baryon Acoustic Oscillation Measurement from the
Reconstructed 6-degree Field Galaxy Survey | Low redshift measurements of Baryon Acoustic Oscillations (BAO) test the late
time evolution of the Universe and are a vital probe of Dark Energy. Over the
past decade both the 6-degree Field Galaxy Survey (6dFGS) and Sloan Digital Sky
Survey (SDSS) have provided important distance constraints at $z < 0.3$. In
this paper we re-evaluate the cosmological information from the BAO detection
in 6dFGS making use of HOD populated COLA mocks for a robust covariance matrix
and taking advantage of the now commonly implemented technique of density field
reconstruction. For the 6dFGS data, we find consistency with the previous
analysis, and obtain an isotropic volume averaged distance measurement of
$D_{V}(z_{\mathrm{eff}}=0.097) =
372\pm17(r_{s}/r_{s}^{\mathrm{fid}})\,\mathrm{Mpc}$, which has a non-Gaussian
likelihood outside the $1\sigma$ region. We combine our measurement from both
the post-reconstruction clustering of 6dFGS and SDSS MGS offering the most
robust constraint to date in this redshift regime,
$D_{V}(z_{\mathrm{eff}}=0.122)=539\pm17(r_{s}/r^{\mathrm{fid}}_{s})\,\mathrm{Mpc}$.
These measurements are consistent with standard $\Lambda\mathrm{CDM}$ and after
fixing the standard ruler using a Planck prior on $\Omega_{m}h^{2}$, the joint
analysis gives $H_{0}=64.0\pm3.5\,\mathrm{kms}^{-1}\mathrm{Mpc}^{-1}$. In the
near future both the Taipan Galaxy Survey and the Dark Energy Spectroscopic
Instrument (DESI) will improve this measurement to $1\%$ at low redshift.
| astro-ph.CO | low redshift measurements of baryon acoustic oscillations bao test the late time evolution of the universe and are a vital probe of dark energy over the past decade both the 6degree field galaxy survey 6dfgs and sloan digital sky survey sdss have provided important distance constraints at z 03 in this paper we reevaluate the cosmological information from the bao detection in 6dfgs making use of hod populated cola mocks for a robust covariance matrix and taking advantage of the now commonly implemented technique of density field reconstruction for the 6dfgs data we find consistency with the previous analysis and obtain an isotropic volume averaged distance measurement of d_vz_mathrmeff0097 372pm17r_sr_smathrmfidmathrmmpc which has a nongaussian likelihood outside the 1sigma region we combine our measurement from both the postreconstruction clustering of 6dfgs and sdss mgs offering the most robust constraint to date in this redshift regime d_vz_mathrmeff0122539pm17r_srmathrmfid_smathrmmpc these measurements are consistent with standard lambdamathrmcdm and after fixing the standard ruler using a planck prior on omega_mh2 the joint analysis gives h_0640pm35mathrmkms1mathrmmpc1 in the near future both the taipan galaxy survey and the dark energy spectroscopic instrument desi will improve this measurement to 1 at low redshift | [['low', 'redshift', 'measurements', 'of', 'baryon', 'acoustic', 'oscillations', 'bao', 'test', 'the', 'late', 'time', 'evolution', 'of', 'the', 'universe', 'and', 'are', 'a', 'vital', 'probe', 'of', 'dark', 'energy', 'over', 'the', 'past', 'decade', 'both', 'the', '6degree', 'field', 'galaxy', 'survey', '6dfgs', 'and', 'sloan', 'digital', 'sky', 'survey', 'sdss', 'have', 'provided', 'important', 'distance', 'constraints', 'at', 'z', '03', 'in', 'this', 'paper', 'we', 'reevaluate', 'the', 'cosmological', 'information', 'from', 'the', 'bao', 'detection', 'in', '6dfgs', 'making', 'use', 'of', 'hod', 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1,803.01747 | Dipolar-coupled moment correlations in clusters of magnetic
nanoparticles | Here, we investigate the nature of the moment coupling between 10-nm
DMSA-coated magnetic nanoparticles, in both colloidal dispersion and in powder
form. The individual iron oxide cores were composed of > 95% maghemite and
agglomerated to clusters. At room temperature the ensemble behaved as a
superparamagnet according to M\"ossbauer and magnetization measurements,
however, with clear signs of dipolar interactions at low temperatures. Analysis
of temperature-dependent AC susceptibility data in the superparamagnetic regime
indicates a tendency for dipolar coupled anticorrelations of the core moments
within the clusters. To resolve the directional correlations between the
particle moments we performed polarized small-angle neutron scattering and
determined the magnetic spin-flip cross-section of the powder in low magnetic
field at 300 K. We extract the underlying pair distance distribution function
of the magnetization vector field by an indirect Fourier transform of the
cross-section, and which suggests positive as well as negative correlations
between nearest neighbor moments, with anticorrelations clearly dominating for
next-nearest moments. These tendencies are confirmed by Monte Carlo simulations
of such core-clusters.
| cond-mat.mes-hall | here we investigate the nature of the moment coupling between 10nm dmsacoated magnetic nanoparticles in both colloidal dispersion and in powder form the individual iron oxide cores were composed of 95 maghemite and agglomerated to clusters at room temperature the ensemble behaved as a superparamagnet according to mossbauer and magnetization measurements however with clear signs of dipolar interactions at low temperatures analysis of temperaturedependent ac susceptibility data in the superparamagnetic regime indicates a tendency for dipolar coupled anticorrelations of the core moments within the clusters to resolve the directional correlations between the particle moments we performed polarized smallangle neutron scattering and determined the magnetic spinflip crosssection of the powder in low magnetic field at 300 k we extract the underlying pair distance distribution function of the magnetization vector field by an indirect fourier transform of the crosssection and which suggests positive as well as negative correlations between nearest neighbor moments with anticorrelations clearly dominating for nextnearest moments these tendencies are confirmed by monte carlo simulations of such coreclusters | [['here', 'we', 'investigate', 'the', 'nature', 'of', 'the', 'moment', 'coupling', 'between', '10nm', 'dmsacoated', 'magnetic', 'nanoparticles', 'in', 'both', 'colloidal', 'dispersion', 'and', 'in', 'powder', 'form', 'the', 'individual', 'iron', 'oxide', 'cores', 'were', 'composed', 'of', '95', 'maghemite', 'and', 'agglomerated', 'to', 'clusters', 'at', 'room', 'temperature', 'the', 'ensemble', 'behaved', 'as', 'a', 'superparamagnet', 'according', 'to', 'mossbauer', 'and', 'magnetization', 'measurements', 'however', 'with', 'clear', 'signs', 'of', 'dipolar', 'interactions', 'at', 'low', 'temperatures', 'analysis', 'of', 'temperaturedependent', 'ac', 'susceptibility', 'data', 'in', 'the', 'superparamagnetic', 'regime', 'indicates', 'a', 'tendency', 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1,803.01748 | Enhanced hybridization sets the stage for electronic nematicity in
CeRhIn5 | High magnetic fields induce a pronounced in-plane electronic anisotropy in
the tetragonal antiferromagnetic metal CeRhIn$_{5}$ at $H^{*} \gtrsim 30$ T for
fields $\simeq 20^{\mathrm{o}}$ off the $c$-axis. Here we investigate the
response of the underlying crystal lattice in magnetic fields to $45$ T via
high-resolution dilatometry. Within the antiferromagnetic phase of
CeRhIn$_{5}$, a finite magnetic field component in the tetragonal $ab$-plane
explicitly breaks the tetragonal ($C_{4}$) symmetry of the lattice well below
$H^{*}$ revealing a finite nematic susceptibility at low fields. A modest
magnetostriction anomaly, $dL/L = -1.8 \times 10^{-6}$, at $H^{*} = 31$ T hence
presumably marks the crossover to a fluctuating nematic phase with large
electronic nematic susceptibility. Magnetostriction quantum oscillations
confirm a Fermi surface change at $H^*$ with the emergence of new orbits. By
analyzing the field-induced change in the crystal-field ground state, we
conclude that the in-plane Ce $4f$ hybridization is enhanced at $H^*$, carrying
the in-plane $f$-electron anisotropy to the Fermi surface. We argue that the
nematic behavior observed in this prototypical heavy-fermion material is of
electronic origin, and is driven by the hybridization between $4f$ and
conduction electrons.
| cond-mat.str-el | high magnetic fields induce a pronounced inplane electronic anisotropy in the tetragonal antiferromagnetic metal cerhin_5 at h gtrsim 30 t for fields simeq 20mathrmo off the caxis here we investigate the response of the underlying crystal lattice in magnetic fields to 45 t via highresolution dilatometry within the antiferromagnetic phase of cerhin_5 a finite magnetic field component in the tetragonal abplane explicitly breaks the tetragonal c_4 symmetry of the lattice well below h revealing a finite nematic susceptibility at low fields a modest magnetostriction anomaly dll 18 times 106 at h 31 t hence presumably marks the crossover to a fluctuating nematic phase with large electronic nematic susceptibility magnetostriction quantum oscillations confirm a fermi surface change at h with the emergence of new orbits by analyzing the fieldinduced change in the crystalfield ground state we conclude that the inplane ce 4f hybridization is enhanced at h carrying the inplane felectron anisotropy to the fermi surface we argue that the nematic behavior observed in this prototypical heavyfermion material is of electronic origin and is driven by the hybridization between 4f and conduction electrons | [['high', 'magnetic', 'fields', 'induce', 'a', 'pronounced', 'inplane', 'electronic', 'anisotropy', 'in', 'the', 'tetragonal', 'antiferromagnetic', 'metal', 'cerhin_5', 'at', 'h', 'gtrsim', '30', 't', 'for', 'fields', 'simeq', '20mathrmo', 'off', 'the', 'caxis', 'here', 'we', 'investigate', 'the', 'response', 'of', 'the', 'underlying', 'crystal', 'lattice', 'in', 'magnetic', 'fields', 'to', '45', 't', 'via', 'highresolution', 'dilatometry', 'within', 'the', 'antiferromagnetic', 'phase', 'of', 'cerhin_5', 'a', 'finite', 'magnetic', 'field', 'component', 'in', 'the', 'tetragonal', 'abplane', 'explicitly', 'breaks', 'the', 'tetragonal', 'c_4', 'symmetry', 'of', 'the', 'lattice', 'well', 'below', 'h', 'revealing', 'a', 'finite', 'nematic', 'susceptibility', 'at', 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1,803.01749 | Measurement of two-particle correlations with respect to second- and
third-order event planes in Au$+$Au collisions at $\sqrt{s_{_{NN}}}=200$ GeV | We present measurements of azimuthal correlations of charged hadron pairs in
$\sqrt{s_{_{NN}}}=200$ GeV Au$+$Au collisions for the trigger and associated
particle transverse-momentum ranges of $1<p_T^t<10$~GeV/$c$ and
$0.5<p_T^a<10$~GeV/$c$. After subtraction of an underlying event using a model
that includes higher-order azimuthal anisotropy $v_2$, $v_3$, and $v_4$, the
away-side yield of the highest trigger-\pt ($p_T^t>4$~GeV/$c$) correlations is
suppressed compared to that of correlations measured in $p$$+$$p$ collisions.
At the lowest associated particle $p_T$ ($0.5<p_T^a<1$ GeV/$c$), the away-side
shape and yield are modified relative to those in $p$$+$$p$ collisions. These
observations are consistent with the scenario of radiative-jet energy loss. For
the low-$p_T$ trigger correlations ($2<p_T^t<4$ GeV/$c$), a finite away-side
yield exists and we explore the dependence of the shape of the away-side within
the context of an underlying-event model. Correlations are also studied
differentially versus event-plane angle $\Psi_2$ and $\Psi_3$. The angular
correlations show an asymmetry when selecting the sign of the difference
between the trigger-particle azimuthal angle and the $\Psi_2$ event plane. This
asymmetry and the measured suppression of the pair yield out of plane is
consistent with a path-length-dependent energy loss. No $\Psi_3$ dependence can
be resolved within experimental uncertainties.
| hep-ex nucl-ex | we present measurements of azimuthal correlations of charged hadron pairs in sqrts__nn200 gev auau collisions for the trigger and associated particle transversemomentum ranges of 1p_tt10gevc and 05p_ta10gevc after subtraction of an underlying event using a model that includes higherorder azimuthal anisotropy v_2 v_3 and v_4 the awayside yield of the highest triggerpt p_tt4gevc correlations is suppressed compared to that of correlations measured in pp collisions at the lowest associated particle p_t 05p_ta1 gevc the awayside shape and yield are modified relative to those in pp collisions these observations are consistent with the scenario of radiativejet energy loss for the lowp_t trigger correlations 2p_tt4 gevc a finite awayside yield exists and we explore the dependence of the shape of the awayside within the context of an underlyingevent model correlations are also studied differentially versus eventplane angle psi_2 and psi_3 the angular correlations show an asymmetry when selecting the sign of the difference between the triggerparticle azimuthal angle and the psi_2 event plane this asymmetry and the measured suppression of the pair yield out of plane is consistent with a pathlengthdependent energy loss no psi_3 dependence can be resolved within experimental uncertainties | [['we', 'present', 'measurements', 'of', 'azimuthal', 'correlations', 'of', 'charged', 'hadron', 'pairs', 'in', 'sqrts__nn200', 'gev', 'auau', 'collisions', 'for', 'the', 'trigger', 'and', 'associated', 'particle', 'transversemomentum', 'ranges', 'of', '1p_tt10gevc', 'and', '05p_ta10gevc', 'after', 'subtraction', 'of', 'an', 'underlying', 'event', 'using', 'a', 'model', 'that', 'includes', 'higherorder', 'azimuthal', 'anisotropy', 'v_2', 'v_3', 'and', 'v_4', 'the', 'awayside', 'yield', 'of', 'the', 'highest', 'triggerpt', 'p_tt4gevc', 'correlations', 'is', 'suppressed', 'compared', 'to', 'that', 'of', 'correlations', 'measured', 'in', 'pp', 'collisions', 'at', 'the', 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1,803.0175 | Generation and stability of dynamical skyrmions and droplet solitons | A spin-polarized current in a nanocontact to a magnetic film can create
collective magnetic oscillations by compensating the magnetic damping. In
particular, in materials with uniaxial magnetic anisotropy, droplet solitons
have been observed a self-localized excitation consisting of partially reversed
magnetization that precesses coherently in the nanocontact region. It is also
possible to generate topological droplet solitons, known as \emph{dynamical
skyrmions}. Here we study the conditions that promote either droplet or
dynamical skyrmion formation and describe their stability in magnetic films
without Dzyaloshinskii-Moriya interactions. We show that Oersted fields from
the applied current as well as the initial magnetization state can determine
whether a droplet or dynamical skyrmion forms. Dynamical skyrmions are found to
be more stable than droplets. We also discuss electrical characteristics that
can be used distinguish these magnetic objects.
| cond-mat.mes-hall | a spinpolarized current in a nanocontact to a magnetic film can create collective magnetic oscillations by compensating the magnetic damping in particular in materials with uniaxial magnetic anisotropy droplet solitons have been observed a selflocalized excitation consisting of partially reversed magnetization that precesses coherently in the nanocontact region it is also possible to generate topological droplet solitons known as emphdynamical skyrmions here we study the conditions that promote either droplet or dynamical skyrmion formation and describe their stability in magnetic films without dzyaloshinskiimoriya interactions we show that oersted fields from the applied current as well as the initial magnetization state can determine whether a droplet or dynamical skyrmion forms dynamical skyrmions are found to be more stable than droplets we also discuss electrical characteristics that can be used distinguish these magnetic objects | [['a', 'spinpolarized', 'current', 'in', 'a', 'nanocontact', 'to', 'a', 'magnetic', 'film', 'can', 'create', 'collective', 'magnetic', 'oscillations', 'by', 'compensating', 'the', 'magnetic', 'damping', 'in', 'particular', 'in', 'materials', 'with', 'uniaxial', 'magnetic', 'anisotropy', 'droplet', 'solitons', 'have', 'been', 'observed', 'a', 'selflocalized', 'excitation', 'consisting', 'of', 'partially', 'reversed', 'magnetization', 'that', 'precesses', 'coherently', 'in', 'the', 'nanocontact', 'region', 'it', 'is', 'also', 'possible', 'to', 'generate', 'topological', 'droplet', 'solitons', 'known', 'as', 'emphdynamical', 'skyrmions', 'here', 'we', 'study', 'the', 'conditions', 'that', 'promote', 'either', 'droplet', 'or', 'dynamical', 'skyrmion', 'formation', 'and', 'describe', 'their', 'stability', 'in', 'magnetic', 'films', 'without', 'dzyaloshinskiimoriya', 'interactions', 'we', 'show', 'that', 'oersted', 'fields', 'from', 'the', 'applied', 'current', 'as', 'well', 'as', 'the', 'initial', 'magnetization', 'state', 'can', 'determine', 'whether', 'a', 'droplet', 'or', 'dynamical', 'skyrmion', 'forms', 'dynamical', 'skyrmions', 'are', 'found', 'to', 'be', 'more', 'stable', 'than', 'droplets', 'we', 'also', 'discuss', 'electrical', 'characteristics', 'that', 'can', 'be', 'used', 'distinguish', 'these', 'magnetic', 'objects']] | [-0.19564840654316923, 0.2843433133975575, -0.0808972161228832, 0.06294854513147254, -0.11016515254177096, -0.11885717852926588, -0.004559441540164478, 0.42667223219618655, -0.2885801680456621, -0.29589847253748414, 0.06043457054439579, -0.22032494549498413, -0.118421737122293, 0.20772790430099564, 0.03150872886335216, -0.008452682750595903, -0.019091843900792865, 0.003503854386508465, -0.012143587771623226, -0.1878193148401227, 0.28100659547789925, -0.05995077601718632, 0.2918161303757436, 0.06411731527469149, 0.02896653050662611, -0.06062483887724353, 0.16710595435208894, 0.08254571710572098, -0.17673392254172623, -0.027123777548584974, 0.21545113453810866, -0.09428070724948845, 0.14956195807352549, -0.5299283553366408, -0.23412040930072014, 0.04823078221560343, 0.20890654701471442, 0.2135168312163318, -0.09214911059792609, -0.3083009664604271, 0.08944729549782068, -0.1533693688336026, -0.1718358586535253, -0.17227137311023066, 0.0204439808078336, 0.06520027508668136, -0.2447276500787473, 0.08953934309212139, 0.0907256566589984, 0.06541521454258173, -0.13554670636111757, -0.036807613711888815, -0.13843828674483424, 0.0483480957830607, 0.08178847780359458, 0.07521812555161446, 0.24914049711007852, -0.1434242081996865, -0.15322932040770398, 0.34463780934950616, -0.04210268884553719, -0.17440874391291855, 0.15011858948238307, -0.17870275330885002, -0.024356726847172744, 0.13370425531563038, 0.16638562401798976, 0.11093663243986102, -0.11569272498176857, -0.01050705054887768, -0.019061432586926403, 0.19272503204587282, 0.10650613739077623, 0.026817740809003062, 0.3240772829687392, 0.18329929594906527, 0.06920066933592105, 0.18402136616262424, -0.10995604235513108, -0.05564620201237796, -0.1906630647100621, -0.13796248820003573, -0.19952385736255426, 0.08385796403286583, -0.04134104606000068, -0.18408503561196002, 0.3978009611495178, 0.15437176265175256, 0.1564642691766053, -0.09688084762345886, 0.2572716161058369, 0.045389072042642954, 0.0752590722704278, 0.0456788573364699, 0.28836298427742085, 0.19479793646887905, 0.14679406691257926, -0.2844102988107779, 0.07106123492121696, -0.02627863457680426] |
1,803.01751 | Strongly Rickart objects in abelian categories | We introduce and study (dual) strongly relative Rickart objects in abelian
categories. We prove general properties, we analyze the behaviour with respect
to (co)products, and we study the transfer via functors. We also give
applications to Grothendieck categories, (graded) module categories and
comodule categories. Our theory of (dual) strongly relative Rickart objects may
be employed in order to study strongly relative regular objects and (dual)
strongly relative Baer objects in abelian categories.
| math.CT math.RA | we introduce and study dual strongly relative rickart objects in abelian categories we prove general properties we analyze the behaviour with respect to coproducts and we study the transfer via functors we also give applications to grothendieck categories graded module categories and comodule categories our theory of dual strongly relative rickart objects may be employed in order to study strongly relative regular objects and dual strongly relative baer objects in abelian categories | [['we', 'introduce', 'and', 'study', 'dual', 'strongly', 'relative', 'rickart', 'objects', 'in', 'abelian', 'categories', 'we', 'prove', 'general', 'properties', 'we', 'analyze', 'the', 'behaviour', 'with', 'respect', 'to', 'coproducts', 'and', 'we', 'study', 'the', 'transfer', 'via', 'functors', 'we', 'also', 'give', 'applications', 'to', 'grothendieck', 'categories', 'graded', 'module', 'categories', 'and', 'comodule', 'categories', 'our', 'theory', 'of', 'dual', 'strongly', 'relative', 'rickart', 'objects', 'may', 'be', 'employed', 'in', 'order', 'to', 'study', 'strongly', 'relative', 'regular', 'objects', 'and', 'dual', 'strongly', 'relative', 'baer', 'objects', 'in', 'abelian', 'categories']] | [-0.1125933896303953, 0.053519864346728556, -0.07049952330999076, 0.12912491187711972, -0.1136640711758648, -0.13014153158292174, -0.056532806091126986, 0.45879745651553905, -0.396274977001465, -0.20945388158644265, 0.06554650518713363, -0.19681701017543674, -0.14564972011268967, 0.1377746764887383, -0.266153499432322, -0.13758869029374587, 0.08814713770213227, 0.08555295239138003, -0.07890845437456544, -0.2929878690273553, 0.4602089736985767, 0.0003260578184078137, 0.2767310969841977, 0.019464773125946522, 0.05476331263909944, 0.02377811660214017, -0.07442465177478476, 0.10191870416100654, -0.18473891673299173, 0.18907613665538114, 0.3390658171330061, 0.03552045092187149, 0.12252913073300281, -0.3493972923606634, -0.02191472907886944, 0.18905590505649647, 0.07772634938980143, 0.02087717268214975, -0.007891260630761584, -0.3377451660215027, 0.14407354863902178, -0.30040141438237494, -0.0686351913447854, -0.1363025652891439, 0.10110297845676541, 0.06583067663854712, -0.22567339876614925, -0.055113151750750454, 0.06328231058311455, 0.10057526649648531, -0.12348391014125405, -0.011598565226045644, -0.042169820203626945, 0.07498342690653065, -0.02779910144292646, -0.06327782745615372, 0.19260926375864074, -0.17120226363961896, -0.18069603043194446, 0.3770947329337812, -0.060002460049064316, -0.20610130741260946, 0.29627790846603197, -0.17723052498574057, -0.12185649760714215, 0.07209165495199461, 0.09398312161728326, 0.23746375980166098, -0.03942391954155432, 0.12709968016133644, -0.13915464318253928, 0.10157586753161417, 0.06725579167767945, 0.12030330879578185, 0.17961737288876772, 0.06776590204228544, 0.021348212354092136, 0.23132952215221142, 0.03515947304873003, -0.043192134212909475, -0.3277510941390776, -0.2111429576891371, 0.02900141383159078, 0.06900034265385734, -0.05024258120344408, -0.15228609083634284, 0.40681278113172287, 0.179675123545975, 0.17500569777459735, 0.10704743537482703, 0.18256322159949276, 0.02705638323580691, 0.05965381074282858, 0.0209891933740841, 0.16174644958745274, 0.2953360321828061, -0.015775141577857237, -0.12353340796350191, -0.04777861955032373, 0.24601997167337686] |
1,803.01752 | Reinforcement of Climate Hiatus by Decadal Modulation of Daily Cloud
Cycle | Based on observations and climate model results, it has been suggested that
the recent slowdown of global warming trends (climate hiatus), which took place
in the early 2000s, might be due to enhanced ocean heat uptake. Here we suggest
an alternative hypothesis which, at least in part, would relate such slowdown
to unaccounted energy reflected or reemitted by clouds. We show that the daily
cloud cycle is strongly linked to pacific decadal oscillation (PDO) and that
its decadal variations during the climate hiatus have an overall cooling
effect. Such an effect may have partially, and temporarily, counteracted the
greenhouse warming trends.
| physics.ao-ph | based on observations and climate model results it has been suggested that the recent slowdown of global warming trends climate hiatus which took place in the early 2000s might be due to enhanced ocean heat uptake here we suggest an alternative hypothesis which at least in part would relate such slowdown to unaccounted energy reflected or reemitted by clouds we show that the daily cloud cycle is strongly linked to pacific decadal oscillation pdo and that its decadal variations during the climate hiatus have an overall cooling effect such an effect may have partially and temporarily counteracted the greenhouse warming trends | [['based', 'on', 'observations', 'and', 'climate', 'model', 'results', 'it', 'has', 'been', 'suggested', 'that', 'the', 'recent', 'slowdown', 'of', 'global', 'warming', 'trends', 'climate', 'hiatus', 'which', 'took', 'place', 'in', 'the', 'early', '2000s', 'might', 'be', 'due', 'to', 'enhanced', 'ocean', 'heat', 'uptake', 'here', 'we', 'suggest', 'an', 'alternative', 'hypothesis', 'which', 'at', 'least', 'in', 'part', 'would', 'relate', 'such', 'slowdown', 'to', 'unaccounted', 'energy', 'reflected', 'or', 'reemitted', 'by', 'clouds', 'we', 'show', 'that', 'the', 'daily', 'cloud', 'cycle', 'is', 'strongly', 'linked', 'to', 'pacific', 'decadal', 'oscillation', 'pdo', 'and', 'that', 'its', 'decadal', 'variations', 'during', 'the', 'climate', 'hiatus', 'have', 'an', 'overall', 'cooling', 'effect', 'such', 'an', 'effect', 'may', 'have', 'partially', 'and', 'temporarily', 'counteracted', 'the', 'greenhouse', 'warming', 'trends']] | [-0.09586941741757316, 0.2205245839378573, -0.09751633641144059, 0.08106109194369931, -0.0705440464235916, -0.03041846297294049, 0.060727243984837344, 0.35295428464760875, -0.27053930453661057, -0.31605912773584083, 0.2011882849798381, -0.28356833662837744, -0.20243689607100396, 0.2102015137368131, -0.14009779575972423, -0.03843499636473503, 0.04973955327569447, -0.06325743225688982, 0.04414017145097772, -0.3012134927730675, 0.21294760731934098, 0.1578105446965535, 0.2522506056616249, 0.1298530103482011, 0.03918954179539244, -0.11706384310803127, -0.06553743191819528, -0.01495350768217946, -0.08660976010676424, 0.03016254023906987, 0.24638325977369702, 0.14271173043646804, 0.28936266873290045, -0.5266417099513335, -0.30574863928711354, 0.13240111612318323, 0.10780759471109008, 0.058599525396389386, -0.019319345235206776, -0.2196638696448933, -0.03861401926571651, -0.1834282527889798, -0.12270365909461191, -0.03844822569759471, 0.09383005789010831, -0.030474003851598146, -0.21624419702180098, 0.09377724732650389, 0.0859269296547564, 0.15807539988585775, -0.13371347451448845, -0.1178522169368692, -0.08166459483546343, 0.09155424066247547, 0.134773410018764, 0.0376965791715475, 0.19044816229805941, -0.07423609201012567, -0.06983216861170707, 0.34840674435092817, -0.1277964352860604, -0.01576677187908404, 0.23873828314844114, -0.17817607801868626, -0.12216544176202894, 0.13295912670690824, 0.17385597175245385, -0.0002501981409547832, -0.13617701633455287, -0.01722472190043179, -0.012058682493072483, 0.17641483238981207, 0.07777711124814088, -0.03817352627883527, 0.3150115558730051, 0.17362852777714038, 0.1095569040695445, 0.056381226158793096, -0.14351079379966813, -0.10553771147209376, -0.16074858945195036, -0.09258617170265701, -0.08668613084591925, 0.05487357688569786, -0.005655139412224929, -0.132749635468025, 0.3601388116782107, 0.20043196661586846, 0.15859246684588713, -0.0592739710349147, 0.27098283133847584, 0.12316728689440407, 0.10336903784318024, 0.10319234794328487, 0.29412915353838465, 0.03502315155802165, 0.18015821652929528, -0.2665294485932013, 0.20730073875079097, 0.0036866274439858846] |
1,803.01753 | Resilient Estimation and Control on $k$-Nearest Neighbor Platoons: A
Network-Theoretic Approach | This paper is concerned with the network-theoretic properties of so-called
$k$-nearest neighbor intelligent vehicular platoons, where each vehicle
communicates with $k$ vehicles, both in front and behind. The network-theoretic
properties analyzed in this paper play major roles in quantifying the
resilience and robustness of three generic distributed estimation and control
algorithms against communication failures and disturbances, namely resilient
distributed estimation, resilient distributed consensus, and robust network
formation. Based on the results for the connectivity measures of the
$k$-nearest neighbor platoon, we show that extending the traditional platooning
topologies (which were based on interacting with nearest neighbors) to
$k$-nearest neighbor platoons increases the resilience of distributed
estimation and control algorithms to both communication failures and
disturbances. Finally, we discuss how the performance of each algorithm scales
with the size of the vehicle platoon.
| math.OC | this paper is concerned with the networktheoretic properties of socalled knearest neighbor intelligent vehicular platoons where each vehicle communicates with k vehicles both in front and behind the networktheoretic properties analyzed in this paper play major roles in quantifying the resilience and robustness of three generic distributed estimation and control algorithms against communication failures and disturbances namely resilient distributed estimation resilient distributed consensus and robust network formation based on the results for the connectivity measures of the knearest neighbor platoon we show that extending the traditional platooning topologies which were based on interacting with nearest neighbors to knearest neighbor platoons increases the resilience of distributed estimation and control algorithms to both communication failures and disturbances finally we discuss how the performance of each algorithm scales with the size of the vehicle platoon | [['this', 'paper', 'is', 'concerned', 'with', 'the', 'networktheoretic', 'properties', 'of', 'socalled', 'knearest', 'neighbor', 'intelligent', 'vehicular', 'platoons', 'where', 'each', 'vehicle', 'communicates', 'with', 'k', 'vehicles', 'both', 'in', 'front', 'and', 'behind', 'the', 'networktheoretic', 'properties', 'analyzed', 'in', 'this', 'paper', 'play', 'major', 'roles', 'in', 'quantifying', 'the', 'resilience', 'and', 'robustness', 'of', 'three', 'generic', 'distributed', 'estimation', 'and', 'control', 'algorithms', 'against', 'communication', 'failures', 'and', 'disturbances', 'namely', 'resilient', 'distributed', 'estimation', 'resilient', 'distributed', 'consensus', 'and', 'robust', 'network', 'formation', 'based', 'on', 'the', 'results', 'for', 'the', 'connectivity', 'measures', 'of', 'the', 'knearest', 'neighbor', 'platoon', 'we', 'show', 'that', 'extending', 'the', 'traditional', 'platooning', 'topologies', 'which', 'were', 'based', 'on', 'interacting', 'with', 'nearest', 'neighbors', 'to', 'knearest', 'neighbor', 'platoons', 'increases', 'the', 'resilience', 'of', 'distributed', 'estimation', 'and', 'control', 'algorithms', 'to', 'both', 'communication', 'failures', 'and', 'disturbances', 'finally', 'we', 'discuss', 'how', 'the', 'performance', 'of', 'each', 'algorithm', 'scales', 'with', 'the', 'size', 'of', 'the', 'vehicle', 'platoon']] | [-0.22156247675813961, 0.04389636633409695, 0.006378894438967109, 0.0033919313732026653, -0.04261914136816014, -0.20714781299113494, 0.07728678590766239, 0.4033168363878786, -0.2738256173377687, -0.2766579856291752, 0.10313035164356486, -0.29072667768394406, -0.20730529912168894, 0.11831851896942791, -0.12424831455890936, 0.09376817577603189, 0.049558591751988526, 0.0627773762468926, 0.015955785418169176, -0.27551610656012077, 0.2807571383803434, 0.07100434245711024, 0.3154718465538639, 0.025432482248905933, 0.0661142329953498, 0.06770565908465703, -0.02849255186138731, 0.05216812297162092, -0.08924413393773041, 0.14452074583140062, 0.26173768508614914, 0.16249431859504318, 0.34692795885105926, -0.43532846855338325, -0.1993413690096614, 0.12232717656473996, 0.1641140494312188, 0.05327109560268141, -0.028709416183780624, -0.3616610421026549, 0.14273107428611678, -0.18371426442525152, -0.09350057613372689, -0.022045283540413067, 0.008906501542889711, 0.14195552822484664, -0.2763126789606317, 0.018535781589779424, 0.04592343287147356, 0.05751383163486466, -0.047445106738119976, -0.05567929629328181, 0.00890485453772161, 0.1743560361527753, 0.02506438498984966, -0.0048513290874490685, 0.1929222798013749, -0.1342979780306588, -0.21368787609478176, 0.3885372570066741, 0.014527937257574222, -0.1870155471306961, 0.20087230951299495, 0.015864473622941383, -0.15498368966037754, 0.04889152239775285, 0.2907455039676279, 0.06602257549424063, -0.15377467911986803, -0.00033189337233180237, 0.030878952792563447, 0.13528730751325688, -0.010567193695654472, 0.04571358325616033, 0.12198129540069425, 0.2580440444660119, 0.20176952801094475, 0.11590802163118497, -0.1310675551472796, -0.1837776713284918, -0.20963116896084763, -0.09838150847689107, -0.16938682705001679, -0.08435450190881966, -0.17676066365156934, -0.1473733433522284, 0.4087733593698817, 0.24755400523656246, 0.1686019558868738, 0.1198522447049265, 0.38778168135181523, 0.017390729259756026, -0.003809369461977798, 0.2308827657199634, 0.23198754604163696, 0.09915555012765143, 0.08270385835644309, -0.24505782490384512, 0.1523633761574853, 0.03145520089751561] |
1,803.01754 | Holographic Entanglement Entropy Decomposition in an Anisotropic Gauge
Theory | We study holographic entanglement entropy in spatially anisotropic field
theory. We observe that for the background we consider in this paper, to a good
approximation, the holographic entanglement entropy can be decomposed into two
terms. One of them is the entanglement entropy of the isotropic field theory at
fixed temperature and the other term is only a function of anisotropy
parameter. Moreover, for large enough values of anisotropy parameter, our
numerical results indicate that the entanglement entropy in the perpendicular
direction to anisotropic direction is greater than the parallel case.
| hep-th | we study holographic entanglement entropy in spatially anisotropic field theory we observe that for the background we consider in this paper to a good approximation the holographic entanglement entropy can be decomposed into two terms one of them is the entanglement entropy of the isotropic field theory at fixed temperature and the other term is only a function of anisotropy parameter moreover for large enough values of anisotropy parameter our numerical results indicate that the entanglement entropy in the perpendicular direction to anisotropic direction is greater than the parallel case | [['we', 'study', 'holographic', 'entanglement', 'entropy', 'in', 'spatially', 'anisotropic', 'field', 'theory', 'we', 'observe', 'that', 'for', 'the', 'background', 'we', 'consider', 'in', 'this', 'paper', 'to', 'a', 'good', 'approximation', 'the', 'holographic', 'entanglement', 'entropy', 'can', 'be', 'decomposed', 'into', 'two', 'terms', 'one', 'of', 'them', 'is', 'the', 'entanglement', 'entropy', 'of', 'the', 'isotropic', 'field', 'theory', 'at', 'fixed', 'temperature', 'and', 'the', 'other', 'term', 'is', 'only', 'a', 'function', 'of', 'anisotropy', 'parameter', 'moreover', 'for', 'large', 'enough', 'values', 'of', 'anisotropy', 'parameter', 'our', 'numerical', 'results', 'indicate', 'that', 'the', 'entanglement', 'entropy', 'in', 'the', 'perpendicular', 'direction', 'to', 'anisotropic', 'direction', 'is', 'greater', 'than', 'the', 'parallel', 'case']] | [-0.15501622626971867, 0.18538787745249768, -0.09947953934574293, 0.0572185071107621, -0.038738697138614955, -0.13636496788304714, -0.028282828208628215, 0.35650936307178605, -0.25987719481603966, -0.23980934288766648, 0.038513998528166365, -0.30870079576141307, -0.07956555483655797, 0.1852157956196202, 0.00954687021051844, 0.013734696695691027, 0.017092850297275516, 0.061106407725148734, -0.07302760767957403, -0.24009829567383148, 0.3383749880194147, 0.05319609556140171, 0.33397504015722207, 0.10940980994039112, 0.07709296703752544, -0.0017526575933314032, 0.022968932220505344, 0.1379743041884568, -0.18676500795489928, 0.08736992971971631, 0.24553820561203693, 0.03656066943787866, 0.21407015164279275, -0.3826098249397344, -0.25236902106553316, 0.12169989991105265, 0.127926471343057, 0.16269436880118318, -0.018305604046003687, -0.19715159064314017, 0.054722132588115834, -0.16079278423761328, -0.15338426605901784, -0.09120359297376127, -0.0015354080565480723, -0.05444277949475994, -0.27896796118261086, 0.16035522588839132, 0.05817991490993235, 0.032818221197360095, -0.06468226718198922, -0.038051864152981174, -0.01435404268041667, 0.056735717318952085, 0.10315854013509428, 0.09191261614000218, 0.1008587409173035, -0.13329718675748964, -0.07111181198722787, 0.3110923649329278, -0.11464179834535268, -0.226589499000046, 0.14337484350738425, -0.16988967960286472, -0.11293811790852083, 0.0739011444668803, 0.15105632395587035, 0.13782184386315446, -0.09653243759853972, 0.08915013924383351, -0.02353014626229803, 0.18906948600585263, 0.02946626077302628, 0.05615620460982124, 0.2051036935299635, 0.056441874287298154, 0.09156316993758082, 0.23772980285381587, -0.07260282957286109, -0.13433039665429128, -0.3271026506399115, -0.233730659313086, -0.23455415658859743, 0.04095145417118652, -0.19616991185773966, -0.1409778158335636, 0.4146150344154901, 0.16486436924379733, 0.18293032163961065, 0.025523370064588057, 0.29296173070453935, 0.13508459328182248, 0.04648046148940921, 0.0895867659813828, 0.29039307843065926, 0.12121640755536242, 0.0905241832551029, -0.2526829261022309, 0.024994592215969332, 0.06902649516446722] |
1,803.01755 | Ewald sphere construction for structural colors | Disordered structures producing a non-iridescent color impression have been
shown to feature a spherically shaped Fourier transform of their
refractive-index distribution. We determine the direction and efficiency of
scattering from thin films made from such structures with the help of the Ewald
sphere construction which follows from first-order scattering approximation.
This way we present a simple geometrical argument why these structures are well
suited for creating short wavelength colors like blue but are hindered from
producing long wavelength colors like red. We also numerically synthesize a
model structure dedicated to produce a sharp spherical shell in reciprocal
space. The reflectivity of this structure as predicted by the first-order
approximation is compared to direct electromagnetic simulations. The results
indicate the Ewald sphere construction to constitute a simple geometrical tool
that can be used to describe and to explain important spectral and directional
features of the reflectivity. It is shown that total internal reflection in the
film in combination with directed scattering can be used to obtain long
wavelength structural colors.
| physics.optics | disordered structures producing a noniridescent color impression have been shown to feature a spherically shaped fourier transform of their refractiveindex distribution we determine the direction and efficiency of scattering from thin films made from such structures with the help of the ewald sphere construction which follows from firstorder scattering approximation this way we present a simple geometrical argument why these structures are well suited for creating short wavelength colors like blue but are hindered from producing long wavelength colors like red we also numerically synthesize a model structure dedicated to produce a sharp spherical shell in reciprocal space the reflectivity of this structure as predicted by the firstorder approximation is compared to direct electromagnetic simulations the results indicate the ewald sphere construction to constitute a simple geometrical tool that can be used to describe and to explain important spectral and directional features of the reflectivity it is shown that total internal reflection in the film in combination with directed scattering can be used to obtain long wavelength structural colors | [['disordered', 'structures', 'producing', 'a', 'noniridescent', 'color', 'impression', 'have', 'been', 'shown', 'to', 'feature', 'a', 'spherically', 'shaped', 'fourier', 'transform', 'of', 'their', 'refractiveindex', 'distribution', 'we', 'determine', 'the', 'direction', 'and', 'efficiency', 'of', 'scattering', 'from', 'thin', 'films', 'made', 'from', 'such', 'structures', 'with', 'the', 'help', 'of', 'the', 'ewald', 'sphere', 'construction', 'which', 'follows', 'from', 'firstorder', 'scattering', 'approximation', 'this', 'way', 'we', 'present', 'a', 'simple', 'geometrical', 'argument', 'why', 'these', 'structures', 'are', 'well', 'suited', 'for', 'creating', 'short', 'wavelength', 'colors', 'like', 'blue', 'but', 'are', 'hindered', 'from', 'producing', 'long', 'wavelength', 'colors', 'like', 'red', 'we', 'also', 'numerically', 'synthesize', 'a', 'model', 'structure', 'dedicated', 'to', 'produce', 'a', 'sharp', 'spherical', 'shell', 'in', 'reciprocal', 'space', 'the', 'reflectivity', 'of', 'this', 'structure', 'as', 'predicted', 'by', 'the', 'firstorder', 'approximation', 'is', 'compared', 'to', 'direct', 'electromagnetic', 'simulations', 'the', 'results', 'indicate', 'the', 'ewald', 'sphere', 'construction', 'to', 'constitute', 'a', 'simple', 'geometrical', 'tool', 'that', 'can', 'be', 'used', 'to', 'describe', 'and', 'to', 'explain', 'important', 'spectral', 'and', 'directional', 'features', 'of', 'the', 'reflectivity', 'it', 'is', 'shown', 'that', 'total', 'internal', 'reflection', 'in', 'the', 'film', 'in', 'combination', 'with', 'directed', 'scattering', 'can', 'be', 'used', 'to', 'obtain', 'long', 'wavelength', 'structural', 'colors']] | [-0.052445920516623834, 0.1086959640423839, -0.15268147719979902, 0.08211649100147408, -0.12216029270447394, -0.1077780567230822, -0.0008244024680585727, 0.4872861680238557, -0.2766058428168914, -0.30630949177894984, 0.053121487412342704, -0.23263792620597065, -0.16290758025264862, 0.18970786027208014, -0.03470053105544817, 0.04812221521699041, 0.013692267612449427, -0.036014914825371294, -0.025307652245677964, -0.16801915408977303, 0.2452838501036057, 0.059302465824862205, 0.2699571284658369, 0.02694782069140285, 0.029591613945126886, 0.01920219555086616, -0.034133014260906966, 0.04564314421277339, -0.11728817519510355, 0.10111506096812065, 0.24768577642826992, 0.042770404371394385, 0.15396966787121263, -0.44925994014907517, -0.23122734503962442, 0.05090849374878336, 0.15844902115117637, 0.1145989808216746, -0.07660539861294556, -0.24786764387724666, 0.06405438739081745, -0.12769144063969776, -0.18345487056046547, -0.09901425604207012, 0.008306176640016176, 0.04592849703274182, -0.23783437435662638, 0.03181146487256804, 0.06096966001522017, 0.016268369981456966, -0.05233551571200762, -0.1023735055443693, -0.021763762116112563, 0.09651709849926914, 0.016880788043356285, 0.017305461474220383, 0.08904299777023186, -0.103736611336646, -0.06485855890804428, 0.4115091979217071, -0.04496446973988621, -0.1490610798313861, 0.19590003572172932, -0.13608304784252975, -0.05108933249135783, 0.18821114969037517, 0.1445865816775621, 0.14245023444493318, -0.11228798677354015, 0.037024995892449175, -0.038602412358675835, 0.20529982789155074, 0.12822125733488365, 0.06610695319801305, 0.2386360846531506, 0.15793677774318576, 0.017757515099241273, 0.16496769342703757, -0.11556245142472743, -0.05530476054871047, -0.2558579198387865, -0.12070004856413694, -0.19472962318776318, 0.06912000723094983, -0.0818672623568333, -0.2154340065899305, 0.3585330858556609, 0.11722366222505562, 0.21731312079740875, 0.035212331758013006, 0.295332751418023, 0.10075341526779881, 0.111027100463756, 0.03318513279846875, 0.2615355902941093, 0.14672834371000815, 0.07906352553784243, -0.18782268640634842, 0.05051306637621226, 0.07231027887549979] |
1,803.01756 | Numerical Simulation of Oscillating Multiphase Heat Transfer in Parallel
plates using Pseudopotential Multiple-Relaxation-Time Lattice Boltzmann
Method | Multiphase flows frequently occur in many important engineering and
scientific applications, but modeling of such flows is a rather challenging
task due to complex interfacial dynamics between different phases, let alone if
the flow is oscillating in the porous media. Using humid air as the working
fluid in the thermoacoustic refrigerator is one of the research focus to
improve the thermoacoustic performance, but the corresponding effect is the
condensation of humid air in the thermal stack. Due to the small sized spacing
of thermal stack and the need to explore the detailed condensation process in
oscillating flow, a mesoscale numerical approach need to be developed. Over the
decades, several types of Lattice Boltzmann (LB) models for multiphase flows
have been developed under different physical pictures, for example the
color-gradient model, the Shan-Chen model, the nonideal pressure tensor model
and the HSD model. In the current study, a pseudopotential
Multiple-Relaxation-Time (MRT) LBM simulation was utilized to simulate the
incompressible oscillating flow and condensation in parallel plates. In the
initial stage of condensation, the oscillating flow benefits to accumulate the
saturated vapor at the exit regions, and the velocity vector of saturated vapor
clearly showed the flow over the droplets. It was also concluded that if the
condensate can be removed out from the parallel plates, the oscillating flow
and condensation will continuously feed the cold surface to form more water
droplets. The effect of wettability to the condensation was discussed, and it
turned out that by increasing the wettability, the saturated water vapor was
easier to condense on the cold walls, and the distance between each pair of
droplets was also strongly affected by the wettability.
| physics.comp-ph | multiphase flows frequently occur in many important engineering and scientific applications but modeling of such flows is a rather challenging task due to complex interfacial dynamics between different phases let alone if the flow is oscillating in the porous media using humid air as the working fluid in the thermoacoustic refrigerator is one of the research focus to improve the thermoacoustic performance but the corresponding effect is the condensation of humid air in the thermal stack due to the small sized spacing of thermal stack and the need to explore the detailed condensation process in oscillating flow a mesoscale numerical approach need to be developed over the decades several types of lattice boltzmann lb models for multiphase flows have been developed under different physical pictures for example the colorgradient model the shanchen model the nonideal pressure tensor model and the hsd model in the current study a pseudopotential multiplerelaxationtime mrt lbm simulation was utilized to simulate the incompressible oscillating flow and condensation in parallel plates in the initial stage of condensation the oscillating flow benefits to accumulate the saturated vapor at the exit regions and the velocity vector of saturated vapor clearly showed the flow over the droplets it was also concluded that if the condensate can be removed out from the parallel plates the oscillating flow and condensation will continuously feed the cold surface to form more water droplets the effect of wettability to the condensation was discussed and it turned out that by increasing the wettability the saturated water vapor was easier to condense on the cold walls and the distance between each pair of droplets was also strongly affected by the wettability | [['multiphase', 'flows', 'frequently', 'occur', 'in', 'many', 'important', 'engineering', 'and', 'scientific', 'applications', 'but', 'modeling', 'of', 'such', 'flows', 'is', 'a', 'rather', 'challenging', 'task', 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1,803.01757 | Nesterov's Accelerated Gradient Method for Nonlinear Ill-Posed Problems
with a Locally Convex Residual Functional | In this paper, we consider Nesterov's Accelerated Gradient method for solving
Nonlinear Inverse and Ill-Posed Problems. Known to be a fast gradient-based
iterative method for solving well-posed convex optimization problems, this
method also leads to promising results for ill-posed problems. Here, we provide
a convergence analysis for ill-posed problems of this method based on the
assumption of a locally convex residual functional. Furthermore, we demonstrate
the usefulness of the method on a number of numerical examples based on a
nonlinear diagonal operator and on an inverse problem in auto-convolution.
| math.NA | in this paper we consider nesterovs accelerated gradient method for solving nonlinear inverse and illposed problems known to be a fast gradientbased iterative method for solving wellposed convex optimization problems this method also leads to promising results for illposed problems here we provide a convergence analysis for illposed problems of this method based on the assumption of a locally convex residual functional furthermore we demonstrate the usefulness of the method on a number of numerical examples based on a nonlinear diagonal operator and on an inverse problem in autoconvolution | [['in', 'this', 'paper', 'we', 'consider', 'nesterovs', 'accelerated', 'gradient', 'method', 'for', 'solving', 'nonlinear', 'inverse', 'and', 'illposed', 'problems', 'known', 'to', 'be', 'a', 'fast', 'gradientbased', 'iterative', 'method', 'for', 'solving', 'wellposed', 'convex', 'optimization', 'problems', 'this', 'method', 'also', 'leads', 'to', 'promising', 'results', 'for', 'illposed', 'problems', 'here', 'we', 'provide', 'a', 'convergence', 'analysis', 'for', 'illposed', 'problems', 'of', 'this', 'method', 'based', 'on', 'the', 'assumption', 'of', 'a', 'locally', 'convex', 'residual', 'functional', 'furthermore', 'we', 'demonstrate', 'the', 'usefulness', 'of', 'the', 'method', 'on', 'a', 'number', 'of', 'numerical', 'examples', 'based', 'on', 'a', 'nonlinear', 'diagonal', 'operator', 'and', 'on', 'an', 'inverse', 'problem', 'in', 'autoconvolution']] | [-0.018776503286920907, -0.05139265656114812, -0.08632641900697033, 0.08174643384912732, -0.12125448026600179, -0.14218814067772767, 0.003866170645492633, 0.40941299223916583, -0.3658993080300227, -0.23636463328442547, 0.19265151830923774, -0.22911248718168628, -0.23893188011277927, 0.30296288130365395, -0.10292803363225768, 0.15237008388876244, 0.12479492637140446, -0.047740319348398196, -0.15373928834464443, -0.25420674349160427, 0.3259872616676802, -0.0030834281011327598, 0.25234263206654217, 0.06589010622603504, 0.19067216059454623, -0.012557411890769943, 0.005480996803956085, 0.07228641455804699, -0.07413916488366432, 0.19078188935645302, 0.2747378773212935, 0.14749007160759667, 0.401407867628202, -0.4143833780054296, -0.20862955495380284, 0.1166384750571667, 0.1728164224749368, 0.11565902599478874, -0.12784063111300045, -0.25253691396602757, 0.10317222971019199, -0.07180981642535228, -0.10028921899626429, -0.12166269971162416, -0.04618812516185172, -0.003338125811659553, -0.3706590711568179, 0.15950003836344498, 0.06083969715354818, 0.00970722876196162, -0.12322107327871779, -0.10765371527104231, 0.15500562445501262, -0.049133941222484524, 0.05937721636643361, 0.00016475295689835978, 0.060979412214600306, -0.08252972593855405, -0.12394505834175545, 0.35138907538873426, -0.018988830267629597, -0.29778040661947447, 0.1462644896040974, 0.024985037670795168, -0.16662158413915737, 0.11107326777170548, 0.28666217019258255, 0.2852386472370015, -0.12868770509121125, 0.1277960771472413, -0.06632020547358172, 0.14204665247267217, -0.01498247083443939, -0.0655652791826745, 0.049806002310341164, 0.2107533627618732, 0.21095427339164058, 0.17059567282002502, -0.031348320833417806, -0.07353996834979298, -0.30080589783911627, -0.12887006101271745, -0.22241326724702304, 0.004114822752700512, -0.10081304687178652, -0.21151398344153768, 0.37787510044454187, 0.21329280060161365, 0.15146637340128588, 0.0737429257963648, 0.32977145215433634, 0.18432666124838792, -0.029243000667918934, 0.1001581179940801, 0.2073579424720132, 0.1472560546224874, 0.10867082668740428, -0.2844490763009264, 0.0029659363849276906, 0.17746082731009868] |
1,803.01758 | Matrix-ordered Duals of Operator Systems and Projective Limits | We construct projective limit of projective sequence in the following
categories: Archimedean order unit spaces with unital positive maps and
operator systems with unital completely positive maps. We prove that inductive
limit and projective limit in these categories are in duality, provided that
the dual objects remain in the same categories and the maps are order
embeddings. We generalize a result of Choi and Effros on matrix-ordered duals
of finite-dimensional operator systems to separable case.
| math.OA | we construct projective limit of projective sequence in the following categories archimedean order unit spaces with unital positive maps and operator systems with unital completely positive maps we prove that inductive limit and projective limit in these categories are in duality provided that the dual objects remain in the same categories and the maps are order embeddings we generalize a result of choi and effros on matrixordered duals of finitedimensional operator systems to separable case | [['we', 'construct', 'projective', 'limit', 'of', 'projective', 'sequence', 'in', 'the', 'following', 'categories', 'archimedean', 'order', 'unit', 'spaces', 'with', 'unital', 'positive', 'maps', 'and', 'operator', 'systems', 'with', 'unital', 'completely', 'positive', 'maps', 'we', 'prove', 'that', 'inductive', 'limit', 'and', 'projective', 'limit', 'in', 'these', 'categories', 'are', 'in', 'duality', 'provided', 'that', 'the', 'dual', 'objects', 'remain', 'in', 'the', 'same', 'categories', 'and', 'the', 'maps', 'are', 'order', 'embeddings', 'we', 'generalize', 'a', 'result', 'of', 'choi', 'and', 'effros', 'on', 'matrixordered', 'duals', 'of', 'finitedimensional', 'operator', 'systems', 'to', 'separable', 'case']] | [-0.12674689982589837, 0.06105529304241409, -0.030192442414527003, 0.08633394280096164, -0.021224851090763067, -0.15107089250247824, -0.014645377644400642, 0.3993590121736398, -0.3370728730853345, -0.13309230393654592, 0.13334268367081578, -0.2885489818338003, -0.1409890391939395, 0.18263609289518884, -0.1803500503112839, 0.005626986402628088, 0.05481103900505381, 0.057130100054515374, -0.1168735505245324, -0.31439811105657417, 0.4858104457222932, -0.062100411216552194, 0.21224711045018724, 0.02686002942091609, 0.15321185278731422, 0.01565294577095129, -0.007696288065179377, 0.04375993851823984, -0.12458966168471945, 0.1404055786772153, 0.3532640120467624, 0.09017946546255434, 0.16441686490449953, -0.3622475066096396, -0.13293160442766305, 0.24030447997329002, 0.10690340239749718, 0.040645714842940904, -0.00011593485848877478, -0.32757326509690265, 0.07268656786480868, -0.1878151408620053, -0.029426451369717315, -0.13330985104816184, 0.05725673277786857, 0.02162337803747505, -0.28573872588222493, 0.006975895939143123, 0.17788030056131854, 0.10540213726611959, -0.15099640038789477, -0.0494622679339168, -0.046644696871422836, 0.1322308380748271, -0.08007366507238634, 0.026972820135966146, 0.11077490654723668, -0.05073057062219124, -0.1481009572240952, 0.2911905579353884, -0.0656304931853319, -0.2685296108593812, 0.21538221201783903, -0.2321143669227289, -0.16452265267788962, 0.051896757141032535, 0.08560466195922345, 0.1523841984469343, -0.019475012073746405, 0.20212469224478244, -0.1348086270453358, 0.08126237288721509, 0.09614409234475445, 0.06512464043319326, 0.15328399287662595, 0.03568475189417399, 0.10962941525252284, 0.18817262309980956, 0.04380611220462802, -0.06445910604403203, -0.34309599678208297, -0.15596728203063076, -0.09647332660451129, 0.12660053625665102, -0.10461727362928434, -0.13219884010283528, 0.34118536226703106, 0.1231829178947452, 0.2212481434280808, 0.16511435366890118, 0.20483496892769393, 0.05671557772753609, 0.042004570792857056, 0.05325318266310402, 0.15795831679291017, 0.273563625265819, 0.0047433104592602, -0.059419098942590926, -0.06292591143298794, 0.2491667903959751] |
1,803.01759 | Cosmological Predictions from the Primordial Universe: Non-Gaussianities | Non-Gaussian statistics in the distribution of large scale structure, and in
temperature fluctuations of the cosmic microwave background, can be used to
constrain inflationary models. Data on the cosmic microwave background from
Planck (2015) is able to provide up-to-date bounds on parameters controlling
the degree of non-Gaussianity in given models of inflation, thus favouring or
disfavouring certain models.
Starting from the statistics of random fields, this essay reviews
non-Gaussianity from first principles, including Juan Maldacena's seminal
calculation of non-Gaussianity in single-field, slow-roll inflation. Following
this, models whereby the initial quantum state of inflation is so-called
non-Bunch-Davis is considered. The non-Gaussian signature produced by such
models is quantified, and parameters controlling the degree of non-Gaussianity
are constrained using data from Planck (2015).
| gr-qc | nongaussian statistics in the distribution of large scale structure and in temperature fluctuations of the cosmic microwave background can be used to constrain inflationary models data on the cosmic microwave background from planck 2015 is able to provide uptodate bounds on parameters controlling the degree of nongaussianity in given models of inflation thus favouring or disfavouring certain models starting from the statistics of random fields this essay reviews nongaussianity from first principles including juan maldacenas seminal calculation of nongaussianity in singlefield slowroll inflation following this models whereby the initial quantum state of inflation is socalled nonbunchdavis is considered the nongaussian signature produced by such models is quantified and parameters controlling the degree of nongaussianity are constrained using data from planck 2015 | [['nongaussian', 'statistics', 'in', 'the', 'distribution', 'of', 'large', 'scale', 'structure', 'and', 'in', 'temperature', 'fluctuations', 'of', 'the', 'cosmic', 'microwave', 'background', 'can', 'be', 'used', 'to', 'constrain', 'inflationary', 'models', 'data', 'on', 'the', 'cosmic', 'microwave', 'background', 'from', 'planck', '2015', 'is', 'able', 'to', 'provide', 'uptodate', 'bounds', 'on', 'parameters', 'controlling', 'the', 'degree', 'of', 'nongaussianity', 'in', 'given', 'models', 'of', 'inflation', 'thus', 'favouring', 'or', 'disfavouring', 'certain', 'models', 'starting', 'from', 'the', 'statistics', 'of', 'random', 'fields', 'this', 'essay', 'reviews', 'nongaussianity', 'from', 'first', 'principles', 'including', 'juan', 'maldacenas', 'seminal', 'calculation', 'of', 'nongaussianity', 'in', 'singlefield', 'slowroll', 'inflation', 'following', 'this', 'models', 'whereby', 'the', 'initial', 'quantum', 'state', 'of', 'inflation', 'is', 'socalled', 'nonbunchdavis', 'is', 'considered', 'the', 'nongaussian', 'signature', 'produced', 'by', 'such', 'models', 'is', 'quantified', 'and', 'parameters', 'controlling', 'the', 'degree', 'of', 'nongaussianity', 'are', 'constrained', 'using', 'data', 'from', 'planck', '2015']] | [-0.10470687681809068, 0.18820259319618343, -0.12321624689114591, 0.1210456066861904, -0.06855226926660786, -0.10673387190909125, -0.052261338400421666, 0.25020129441594086, -0.22417899863794447, -0.34141341197925307, 0.06610439225720863, -0.2512151167883227, -0.08090458233103466, 0.21499061284509177, -0.03149999718104179, 0.06838316260837018, 0.009647300193319098, -0.03246654453469091, 0.02126370440722288, -0.29555811918786884, 0.33921636779171727, 0.19438284511658518, 0.2760302674335738, -0.0384258807132331, 0.07382270602781014, -0.08213343618360038, -0.08295031124531912, -0.012489219306735322, -0.1726018762642828, 0.10219256575607384, 0.18598078617848537, 0.19611132816644386, 0.17599184045296473, -0.4158880873622062, -0.2692932688398287, 0.16997491656802594, 0.0745041397633031, 0.19679718227901807, 0.018626444773205245, -0.31824037067902583, -0.004790415189199848, -0.13566908826687724, -0.07660105054189141, -0.08057233634172008, -0.03587286507633204, -0.015479921316727995, -0.29580400147485003, 0.16905467401569088, -0.008647941633535083, 0.04792078368676205, -0.019552667307046554, -0.09175942140088106, -0.040492403123062105, 0.0286586553886688, 0.06289595738829425, 0.03136169806821272, 0.1483317484923949, -0.18830206516043593, -0.11356731996347662, 0.37802032446488737, -0.15483228149241768, -0.08761131157322476, 0.07607818770920857, -0.15378476863261312, -0.2131637827929808, 0.041009434442579124, 0.1700485151222286, 0.04706392001050214, -0.14134595931245714, 0.18385554591562445, 0.0948360913588355, 0.18175785581891735, 0.09476809224870522, 0.01786468844705572, 0.32789028917904944, 0.10702953293997174, 0.030457966080090652, 0.1195334061155639, -0.07638989929497862, -0.0715304986476743, -0.36299687321297824, 0.010053340632778903, -0.24128077244386076, 0.08804039140134895, -0.16264394955530104, -0.17871481124990776, 0.43594151659247776, 0.20811554635874926, 0.21174689039277533, 0.033131800588065134, 0.27944729293813, 0.06893120117019862, 0.009480031752415623, 0.039238815230783076, 0.2963993932925708, 0.13104098254116253, 0.10859824591316283, -0.14038939056335947, 0.07636734958117207, 0.0035092385951429605] |
1,803.0176 | Some relations on prefix reversal generators of the symmetric and
hyperoctahedral group | The pancake problem is concerned with sorting a permutation (a stack of
pancakes of different diameter) using only prefix reversals (spatula flips).
Although the problem description belies simplicity, an exact formula for the
maximum number of flips needed to sort $n$ pancakes has been elusive.
In this paper we present a different approach to the pancake problem, as a
word problem on the symmetric group and hyperoctahedral group. Pancake flips
are considered as generators and we study the relations satisfied by them. We
completely describe the order of the product of any two of these generators,
and provide some partial results on the order of the product of any three
generators. Connections to the pancake graph of the hyperoctahedral group are
also drawn.
| cs.DM math.CO | the pancake problem is concerned with sorting a permutation a stack of pancakes of different diameter using only prefix reversals spatula flips although the problem description belies simplicity an exact formula for the maximum number of flips needed to sort n pancakes has been elusive in this paper we present a different approach to the pancake problem as a word problem on the symmetric group and hyperoctahedral group pancake flips are considered as generators and we study the relations satisfied by them we completely describe the order of the product of any two of these generators and provide some partial results on the order of the product of any three generators connections to the pancake graph of the hyperoctahedral group are also drawn | [['the', 'pancake', 'problem', 'is', 'concerned', 'with', 'sorting', 'a', 'permutation', 'a', 'stack', 'of', 'pancakes', 'of', 'different', 'diameter', 'using', 'only', 'prefix', 'reversals', 'spatula', 'flips', 'although', 'the', 'problem', 'description', 'belies', 'simplicity', 'an', 'exact', 'formula', 'for', 'the', 'maximum', 'number', 'of', 'flips', 'needed', 'to', 'sort', 'n', 'pancakes', 'has', 'been', 'elusive', 'in', 'this', 'paper', 'we', 'present', 'a', 'different', 'approach', 'to', 'the', 'pancake', 'problem', 'as', 'a', 'word', 'problem', 'on', 'the', 'symmetric', 'group', 'and', 'hyperoctahedral', 'group', 'pancake', 'flips', 'are', 'considered', 'as', 'generators', 'and', 'we', 'study', 'the', 'relations', 'satisfied', 'by', 'them', 'we', 'completely', 'describe', 'the', 'order', 'of', 'the', 'product', 'of', 'any', 'two', 'of', 'these', 'generators', 'and', 'provide', 'some', 'partial', 'results', 'on', 'the', 'order', 'of', 'the', 'product', 'of', 'any', 'three', 'generators', 'connections', 'to', 'the', 'pancake', 'graph', 'of', 'the', 'hyperoctahedral', 'group', 'are', 'also', 'drawn']] | [-0.1862371004815024, 0.11023008563033801, -0.05430901541215617, 0.051580176302572577, -0.11647573608632494, -0.09272778333293472, 0.0417370885010521, 0.3780286697352805, -0.28908807153215377, -0.30150911672328545, 0.12388808779868986, -0.27450610064272957, -0.13672738274884963, 0.16294967922821216, -0.07390215160794616, 0.03623398284359676, 0.03978103713314163, 0.09329384231274546, -0.0853940490973977, -0.29214651486765386, 0.3331101467772349, -0.005710493904780748, 0.2698430274121039, -0.02132010546602106, 0.1204711096512714, 0.0015632852503075832, -0.031649164537467606, 0.04210654423549408, -0.15838081985939204, 0.09144479863542487, 0.21903214862426304, 0.09598906587514026, 0.20085949176634715, -0.46450409288631705, -0.10550171582830872, 0.14274387835615837, 0.1506131834670432, 0.13860366355658063, -0.05435772905148929, -0.21249621581831357, 0.13772915538809286, -0.1907734060394994, -0.10948874921361892, -0.007674806478728608, 0.05549940271397113, 0.03213594009062442, -0.20678669618957532, -0.002803810475331663, 0.11335380763814944, 0.0478778911557624, 0.03170535537770124, -0.10890244973853715, 0.021674105833186123, 0.15674814383491753, 0.05162784586493986, -0.0007576067436001892, 0.057362105981333227, -0.11095954975817443, -0.16987817946488296, 0.403199404425071, 0.02912565470839722, -0.215958706807436, 0.13062562114119955, -0.10602242470438766, -0.14356478349858426, 0.0831195702965606, 0.12765498136783518, 0.13576000841425323, -0.10193350423237203, 0.0700526253298508, -0.12818576081284905, 0.12348027844114487, 0.10691709638330935, -0.004530832228228086, 0.15044473904578726, 0.133443969814864, 0.07796254564016088, 0.18405819380830035, -0.027751039905043896, -0.05876244752236256, -0.3050368980512144, -0.1594686477465888, -0.17395610070590506, 0.05006737858284174, -0.1119847905686517, -0.1736245160028944, 0.4104797956117285, 0.10989048937524903, 0.20530722648319666, 0.06730338370018615, 0.26741315696267337, 0.08461764419065197, 0.06204446474075075, 0.04874282593392139, 0.11001649176880786, 0.18999197810502133, 0.00019669275337118444, -0.21645819557058374, 0.061280281784588365, 0.1416505682168574] |
1,803.01761 | Large-Scale Study of Perceptual Video Quality | The great variations of videographic skills, camera designs, compression and
processing protocols, and displays lead to an enormous variety of video
impairments. Current no-reference (NR) video quality models are unable to
handle this diversity of distortions. This is true in part because available
video quality assessment databases contain very limited content, fixed
resolutions, were captured using a small number of camera devices by a few
videographers and have been subjected to a modest number of distortions. As
such, these databases fail to adequately represent real world videos, which
contain very different kinds of content obtained under highly diverse imaging
conditions and are subject to authentic, often commingled distortions that are
impossible to simulate. As a result, NR video quality predictors tested on
real-world video data often perform poorly. Towards advancing NR video quality
prediction, we constructed a large-scale video quality assessment database
containing 585 videos of unique content, captured by a large number of users,
with wide ranges of levels of complex, authentic distortions. We collected a
large number of subjective video quality scores via crowdsourcing. A total of
4776 unique participants took part in the study, yielding more than 205000
opinion scores, resulting in an average of 240 recorded human opinions per
video. We demonstrate the value of the new resource, which we call the LIVE
Video Quality Challenge Database (LIVE-VQC), by conducting a comparison of
leading NR video quality predictors on it. This study is the largest video
quality assessment study ever conducted along several key dimensions: number of
unique contents, capture devices, distortion types and combinations of
distortions, study participants, and recorded subjective scores. The database
is available for download on this link:
http://live.ece.utexas.edu/research/LIVEVQC/index.html .
| eess.IV | the great variations of videographic skills camera designs compression and processing protocols and displays lead to an enormous variety of video impairments current noreference nr video quality models are unable to handle this diversity of distortions this is true in part because available video quality assessment databases contain very limited content fixed resolutions were captured using a small number of camera devices by a few videographers and have been subjected to a modest number of distortions as such these databases fail to adequately represent real world videos which contain very different kinds of content obtained under highly diverse imaging conditions and are subject to authentic often commingled distortions that are impossible to simulate as a result nr video quality predictors tested on realworld video data often perform poorly towards advancing nr video quality prediction we constructed a largescale video quality assessment database containing 585 videos of unique content captured by a large number of users with wide ranges of levels of complex authentic distortions we collected a large number of subjective video quality scores via crowdsourcing a total of 4776 unique participants took part in the study yielding more than 205000 opinion scores resulting in an average of 240 recorded human opinions per video we demonstrate the value of the new resource which we call the live video quality challenge database livevqc by conducting a comparison of leading nr video quality predictors on it this study is the largest video quality assessment study ever conducted along several key dimensions number of unique contents capture devices distortion types and combinations of distortions study participants and recorded subjective scores the database is available for download on this link httpliveeceutexaseduresearchlivevqcindexhtml | [['the', 'great', 'variations', 'of', 'videographic', 'skills', 'camera', 'designs', 'compression', 'and', 'processing', 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1,803.01762 | Hierarchical incompleteness results for arithmetically definable
extensions of fragments of arithmetic | There has been a recent interest in hierarchical generalisations of classic
incompleteness results. This paper provides evidence that such generalisations
are readibly obtainable from suitably hierarchical versions of the principles
used in the original proof. By collecting such principles, we prove
hierarchical versions of Mostowski's theorem on independent formulae, Kripke's
theorem on flexible formulae, and a number of further generalisations thereof.
As a corollary, we obtain the expected result that the formula expressing "$T$
is $\Sigma_n$-ill" is a canonical example of a $\Sigma_{n+1}$ formula that is
$\Pi_{n+1}$-conservative over $T$.
| math.LO | there has been a recent interest in hierarchical generalisations of classic incompleteness results this paper provides evidence that such generalisations are readibly obtainable from suitably hierarchical versions of the principles used in the original proof by collecting such principles we prove hierarchical versions of mostowskis theorem on independent formulae kripkes theorem on flexible formulae and a number of further generalisations thereof as a corollary we obtain the expected result that the formula expressing t is sigma_nill is a canonical example of a sigma_n1 formula that is pi_n1conservative over t | [['there', 'has', 'been', 'a', 'recent', 'interest', 'in', 'hierarchical', 'generalisations', 'of', 'classic', 'incompleteness', 'results', 'this', 'paper', 'provides', 'evidence', 'that', 'such', 'generalisations', 'are', 'readibly', 'obtainable', 'from', 'suitably', 'hierarchical', 'versions', 'of', 'the', 'principles', 'used', 'in', 'the', 'original', 'proof', 'by', 'collecting', 'such', 'principles', 'we', 'prove', 'hierarchical', 'versions', 'of', 'mostowskis', 'theorem', 'on', 'independent', 'formulae', 'kripkes', 'theorem', 'on', 'flexible', 'formulae', 'and', 'a', 'number', 'of', 'further', 'generalisations', 'thereof', 'as', 'a', 'corollary', 'we', 'obtain', 'the', 'expected', 'result', 'that', 'the', 'formula', 'expressing', 't', 'is', 'sigma_nill', 'is', 'a', 'canonical', 'example', 'of', 'a', 'sigma_n1', 'formula', 'that', 'is', 'pi_n1conservative', 'over', 't']] | [-0.08869049532667679, 0.050955434404621726, -0.13320745661416475, 0.1095469165360555, -0.08852145655409378, -0.0933850757065503, 0.06376267264542335, 0.3109581025536446, -0.23872936937738867, -0.29927438701338627, 0.11332431956851745, -0.24101659589830568, -0.19925178933669538, 0.2679539374788018, -0.12537738345563412, 0.016523743946762644, 0.06531737264355315, 0.026261077207677504, -0.0794626055408598, -0.21492452452726224, 0.2838407784919528, -0.022769918139366543, 0.24233375588322387, 0.07745530113358708, 0.12455742351491661, 0.05636794221970965, -0.06413861520807533, 0.04850329904926612, -0.18147774861213026, 0.13428967390209437, 0.2527950732749613, 0.17312180131788515, 0.27920002998674615, -0.3642634610590689, -0.16126841007567505, 0.11162754820988459, 0.11109855036826476, 0.12633073048337418, -0.0522208882139667, -0.22272353932699737, 0.111059460758663, -0.20905452174518038, -0.18026720872148871, -0.1152510256451719, 0.024856074888478307, 0.033038358938168075, -0.26140711662523886, 0.08604741061503506, 0.19120069044258664, 0.05094939973205328, -0.03613815241328934, -0.1473106666468084, 0.01486187601900276, 0.05652381474261775, 0.03201992692809333, -0.0003345089581082849, 0.04520705593202044, -0.06451662611490225, -0.17473750113071326, 0.3553761478732614, -0.07746694533065344, -0.20648212479427458, 0.14689928840517122, -0.04433734525981195, -0.21989956957233303, 0.03252911326639792, 0.09169602077454328, 0.1412732794004328, -0.11512838937342167, 0.13482516622650162, -0.147595526234192, 0.0984915890456999, 0.12864470797974398, 0.04581443257629871, 0.168446682886604, 0.1320871237247689, 0.058856829436605466, 0.1903208478436093, -0.006789387033923584, -0.10213759062154328, -0.32257639945429917, -0.1708994429120246, -0.18985355664592454, 0.11524561623330502, -0.1180036707669976, -0.1542460767990526, 0.33385545124902444, 0.11733556592508274, 0.18434331064276835, 0.13498670673545668, 0.2768287035472253, 0.1451548694016631, 0.08327183740090251, 0.012535907111733276, 0.14182960242033005, 0.19949549685013207, 0.05809867480352028, -0.04741808649097733, 0.08301530922626091, 0.1687305306248805] |
1,803.01763 | On the Nature of Self-Consistency in Density Functional Theory | A thesis providing a pedagogical introduction to the problem of achieving
self-consistency in density functional theory. Contained is an introduction to
the framework of Kohn-Sham density functional theory, leading then to the
considerations required to solve the equations of Kohn-Sham density functional
theory. Specifically, a focus is placed on where current self-consistent field
methodology is inefficient and/or fails to converge to a solution. As such,
this review spans sub-disciplines such as numerical analysis of linear and
non-linear systems, linear response theory, and general electronic structure
theory. Toward the end of the thesis, certain contemporary methods for
achieving self-consistency from literature are outlined, and a novel,
computationally efficient preconditioning strategy is proposed. This work is
implemented in the CASTEP software.
| cond-mat.other physics.comp-ph | a thesis providing a pedagogical introduction to the problem of achieving selfconsistency in density functional theory contained is an introduction to the framework of kohnsham density functional theory leading then to the considerations required to solve the equations of kohnsham density functional theory specifically a focus is placed on where current selfconsistent field methodology is inefficient andor fails to converge to a solution as such this review spans subdisciplines such as numerical analysis of linear and nonlinear systems linear response theory and general electronic structure theory toward the end of the thesis certain contemporary methods for achieving selfconsistency from literature are outlined and a novel computationally efficient preconditioning strategy is proposed this work is implemented in the castep software | [['a', 'thesis', 'providing', 'a', 'pedagogical', 'introduction', 'to', 'the', 'problem', 'of', 'achieving', 'selfconsistency', 'in', 'density', 'functional', 'theory', 'contained', 'is', 'an', 'introduction', 'to', 'the', 'framework', 'of', 'kohnsham', 'density', 'functional', 'theory', 'leading', 'then', 'to', 'the', 'considerations', 'required', 'to', 'solve', 'the', 'equations', 'of', 'kohnsham', 'density', 'functional', 'theory', 'specifically', 'a', 'focus', 'is', 'placed', 'on', 'where', 'current', 'selfconsistent', 'field', 'methodology', 'is', 'inefficient', 'andor', 'fails', 'to', 'converge', 'to', 'a', 'solution', 'as', 'such', 'this', 'review', 'spans', 'subdisciplines', 'such', 'as', 'numerical', 'analysis', 'of', 'linear', 'and', 'nonlinear', 'systems', 'linear', 'response', 'theory', 'and', 'general', 'electronic', 'structure', 'theory', 'toward', 'the', 'end', 'of', 'the', 'thesis', 'certain', 'contemporary', 'methods', 'for', 'achieving', 'selfconsistency', 'from', 'literature', 'are', 'outlined', 'and', 'a', 'novel', 'computationally', 'efficient', 'preconditioning', 'strategy', 'is', 'proposed', 'this', 'work', 'is', 'implemented', 'in', 'the', 'castep', 'software']] | [-0.08757929605658815, 0.013172077315496555, -0.1126276041545412, 0.06165019571859421, -0.08461970271260924, -0.12445630460680157, 0.015982631937318928, 0.3158397753449047, -0.2546909042133191, -0.3049529670510723, 0.08044083187348765, -0.2512346196551846, -0.18968290878858948, 0.1391119267282804, -0.05625649495441623, 0.08168515240961388, 0.029132122600435458, -0.003967816334906496, -0.10739394181193744, -0.22861206478893192, 0.2821068710044903, 0.0956407246774673, 0.30089676762469303, 0.06360264617495802, 0.07654767848958238, 0.015722719451584734, -0.031722572420825476, 0.05277989668568142, -0.12364738688221154, 0.18095426496114395, 0.3379869852841151, 0.13015516457233986, 0.3709059724948142, -0.5015486971242353, -0.21454965823306507, -0.008217369487994359, 0.10900103255711152, 0.15982917765108476, -0.05155021674097555, -0.21699016191409665, 0.0810255106663754, -0.18952387433593013, -0.15942374934998005, -0.12140693919764471, -0.013960914814476894, -0.0087384164740308, -0.2656630835003814, 0.0668914716049027, 0.007421240273143063, 0.03983579925848406, -0.07381177521770538, -0.10936694610531308, 0.03171633274740532, 0.06192475637546232, 0.034324662039886, 0.06925978628574174, 0.1272857623564142, -0.11593211075964094, -0.06046673792958291, 0.39011320152453016, -0.03794816197796153, -0.19877542984210142, 0.17629786930242633, -0.029156993538485606, -0.16478855352253974, 0.08810939612414907, 0.16529427689476675, 0.15358316626628674, -0.18967300368631415, 0.147345433902375, 0.004597492125707076, 0.15784296791358782, -0.004183312678443534, 0.0251908296109725, 0.17030706693723546, 0.21032493049670167, 0.08836676896463673, 0.07619505733674188, -0.0025841471398671888, -0.16175946185928808, -0.3300345728346029, -0.13202208680484226, -0.17462393417250083, 0.027217148721977256, -0.0029044214968947193, -0.21605190608900884, 0.406248842765178, 0.19276733128862658, 0.11746769176576943, 0.04692146919487717, 0.3250360834928809, 0.18992014688697934, 0.0007421292473186402, 0.044308487447213475, 0.19112108611822629, 0.18723086971093064, 0.08575725909557287, -0.1966236204812851, 0.006059303046243281, 0.09273603547387953] |
1,803.01764 | On Multilateral Hierarchical Dynamic Decisions | Many decision problems in economics, information technology, and industry can
be transformed to an optimal stopping of adapted random vectors with some
utility function over the set of Markov times with respect to filtration build
by the decision maker's knowledge. The optimal stopping problem formulation is
to find a stopping time which maximizes the expected value of the accepted
(stopped) random vector's utility.
There are natural extensions of optimal stopping problem to stopping the
games-the problem of stopping random vectors by two or more decision makers.
Various approaches dependent on the information scheme and the aims of the
agents in a considered model. This report unifies a group of non-cooperative
stopping game models with forced cooperation by the role of the agents, their
aims and aspirations (v. Assaf & Samuel-Cahn(1998), Szajowski & Yasuda(1995))
or extensions of the strategy sets (v. Ramsey & Szajowski(2008)).
| math.OC | many decision problems in economics information technology and industry can be transformed to an optimal stopping of adapted random vectors with some utility function over the set of markov times with respect to filtration build by the decision makers knowledge the optimal stopping problem formulation is to find a stopping time which maximizes the expected value of the accepted stopped random vectors utility there are natural extensions of optimal stopping problem to stopping the gamesthe problem of stopping random vectors by two or more decision makers various approaches dependent on the information scheme and the aims of the agents in a considered model this report unifies a group of noncooperative stopping game models with forced cooperation by the role of the agents their aims and aspirations v assaf samuelcahn1998 szajowski yasuda1995 or extensions of the strategy sets v ramsey szajowski2008 | [['many', 'decision', 'problems', 'in', 'economics', 'information', 'technology', 'and', 'industry', 'can', 'be', 'transformed', 'to', 'an', 'optimal', 'stopping', 'of', 'adapted', 'random', 'vectors', 'with', 'some', 'utility', 'function', 'over', 'the', 'set', 'of', 'markov', 'times', 'with', 'respect', 'to', 'filtration', 'build', 'by', 'the', 'decision', 'makers', 'knowledge', 'the', 'optimal', 'stopping', 'problem', 'formulation', 'is', 'to', 'find', 'a', 'stopping', 'time', 'which', 'maximizes', 'the', 'expected', 'value', 'of', 'the', 'accepted', 'stopped', 'random', 'vectors', 'utility', 'there', 'are', 'natural', 'extensions', 'of', 'optimal', 'stopping', 'problem', 'to', 'stopping', 'the', 'gamesthe', 'problem', 'of', 'stopping', 'random', 'vectors', 'by', 'two', 'or', 'more', 'decision', 'makers', 'various', 'approaches', 'dependent', 'on', 'the', 'information', 'scheme', 'and', 'the', 'aims', 'of', 'the', 'agents', 'in', 'a', 'considered', 'model', 'this', 'report', 'unifies', 'a', 'group', 'of', 'noncooperative', 'stopping', 'game', 'models', 'with', 'forced', 'cooperation', 'by', 'the', 'role', 'of', 'the', 'agents', 'their', 'aims', 'and', 'aspirations', 'v', 'assaf', 'samuelcahn1998', 'szajowski', 'yasuda1995', 'or', 'extensions', 'of', 'the', 'strategy', 'sets', 'v', 'ramsey', 'szajowski2008']] | [-0.09468100241792854, 0.09132685267072435, -0.10386186489588856, 0.06556929153670996, -0.10200775924193509, -0.15086367383371588, 0.11869195235126159, 0.4026377803426893, -0.3474790724268293, -0.2652219550411032, 0.1407358178660027, -0.27230592562323985, -0.11618681578308016, 0.11415640161002931, -0.12396826881997507, 0.0912373641913291, 0.022575947997050688, 0.0831001901653294, 0.013669721254914561, -0.3105305754066007, 0.2970434904221774, 0.06270517876649084, 0.2943910286515294, -0.019494356012300533, 0.13717113964615718, 0.06455427553395138, -0.05188190539518152, 0.020523004795369858, -0.13683353793321124, 0.12073194228972117, 0.32503143415918684, 0.2232382668812266, 0.41009109590531273, -0.3997373772401582, -0.17474569301788612, 0.15329509209293654, 0.08470743133939858, 0.0475538124301238, 0.007673568051519824, -0.2607912001925904, 0.03656942677437602, -0.1528916825516396, -0.07680484496728134, -0.004213309737251085, 0.010111087167923175, 0.03589377038331483, -0.3576975158785525, -0.02832174642432673, 0.03438065042856204, 0.03053178487564711, -0.07680305233054027, -0.1512669738560148, 0.027072634776499505, 0.12628603672826155, 0.07130191018822028, 0.010209451349082348, 0.14368031395475983, -0.1402440467346049, -0.24007569223313646, 0.4123227252036004, -0.03251291880288216, -0.21265954906908413, 0.143848984659759, -0.06228165899964926, -0.08824231497462331, 0.1249703745056382, 0.18066655226763995, 0.14657363550812827, -0.1722474601941512, 0.040625880950435254, -0.06639851537971374, 0.10120504140949753, 0.055777124036788285, 0.014208572223330574, 0.18323785456253544, 0.17246577952413217, 0.18232780545633218, 0.11396913462308209, 0.03309892434524098, -0.15169245433336234, -0.26098462320206794, -0.09748142167432781, -0.13833899287205628, 0.03725574192685599, -0.1263929336321727, -0.12348185083828866, 0.3324113207560164, 0.17447345134432374, 0.161510487936218, 0.09547330869913019, 0.249940608833533, 0.12371648146750779, 0.001073404679867535, 0.08240668340380687, 0.13503086717002374, 0.10475851189531728, 0.09608359275615144, -0.21108841107343324, 0.1425412143495016, 0.06817068677970811] |
1,803.01765 | Simply-connected, spineless 4-manifolds | We construct infinitely many smooth 4-manifolds which are homotopy equivalent
to $S^2$ but do not admit a spine, i.e., a piecewise-linear embedding of $S^2$
which realizes the homotopy equivalence. This is the remaining case in the
existence problem for codimension-2 spines in simply-connected manifolds. The
obstruction comes from the Heegaard Floer $d$ invariants.
| math.GT | we construct infinitely many smooth 4manifolds which are homotopy equivalent to s2 but do not admit a spine ie a piecewiselinear embedding of s2 which realizes the homotopy equivalence this is the remaining case in the existence problem for codimension2 spines in simplyconnected manifolds the obstruction comes from the heegaard floer d invariants | [['we', 'construct', 'infinitely', 'many', 'smooth', '4manifolds', 'which', 'are', 'homotopy', 'equivalent', 'to', 's2', 'but', 'do', 'not', 'admit', 'a', 'spine', 'ie', 'a', 'piecewiselinear', 'embedding', 'of', 's2', 'which', 'realizes', 'the', 'homotopy', 'equivalence', 'this', 'is', 'the', 'remaining', 'case', 'in', 'the', 'existence', 'problem', 'for', 'codimension2', 'spines', 'in', 'simplyconnected', 'manifolds', 'the', 'obstruction', 'comes', 'from', 'the', 'heegaard', 'floer', 'd', 'invariants']] | [-0.24987172656516843, 0.046915833636204586, -0.10162386796349343, 0.1496393284848276, -0.11366272708928248, -0.23004246807112447, -0.07332224456839403, 0.35867368488765833, -0.29001785045103085, -0.2513933926205731, 0.09851037781632874, -0.2459250881846221, -0.16906369758664436, 0.13756953266159333, -0.2315790562183192, -0.04093952211639229, 0.07796392468559854, 0.08867207907561986, -0.09351933913586556, -0.2337446279542626, 0.39685098060740615, -0.1689257996051379, 0.1611952103191453, 0.11694347456027314, 0.15336871285975542, -0.0886670098253438, 0.056505493626420225, 0.035473864266367734, -0.19191762395115253, 0.1150555913490331, 0.36162103783725846, 0.031483674316473725, 0.11789966426473462, -0.38918122048226167, -0.1584264450478104, 0.23849037020765948, 0.18835335351825463, 0.03710672626148839, 0.02176066828926779, -0.2825730815310172, 0.07250261356843249, -0.08699100439981469, -0.1366717705749116, -0.07035922392640474, 0.011601976206842458, -0.006410807019697045, -0.12193864438120487, -0.016431149991475186, 0.1418795539856941, 0.0579347874406936, -0.06093416904661594, -0.007450403610490403, -0.11553306352206559, 0.13565250460655903, 0.053818129982693856, 0.14254036342795445, 0.13130790333456868, -0.07600845621002592, -0.12065551231421952, 0.3763948752773258, -0.03568475291941245, -0.31481544532865846, 0.1534070915560115, -0.07520541438024561, -0.25281697608319653, 0.2796726656972237, -0.019295816292177956, 0.19504396455749026, -0.024517562697237393, 0.25907972593844497, -0.09802703174569134, 0.09275949785028989, 0.11202957232500303, -0.07565542479168694, 0.15188325494352095, 0.05573591015319217, 0.18421476715977989, 0.14391111480599306, -0.0021309155250354758, -0.11712696167798538, -0.35402838351591576, -0.1900032522894864, -0.06810786980116423, 0.2198790196059733, -0.12024326331667462, -0.2582447929703191, 0.3718545580247663, -0.016513155709583102, 0.16935386473558983, 0.2056805625918128, 0.25940772114356736, -0.054382322676796116, 0.0647128784923621, 0.09658641991082509, 0.18414843290657648, 0.18580316363851418, -0.05025449774737628, -0.06783079381434703, -0.07417045088643033, 0.2976259859805962] |
1,803.01766 | Point-projection microscopy of nano-localized photoemission currents at
sub-40 femtosecond time scales | Femtosecond point-projection microscopy (fs-PPM) is an electron microscopy
technique that possesses a combination of high spatio-temporal resolution and
sensitivity to local electric fields. This allows it to visualize ultrafast
charge carrier dynamics in complex nanomaterials. We benchmark the capability
of the fs-PPM technique by imaging the ultrafast dynamics of charge carriers
produced by multiphoton ionization of silver nanowires. The space-charge driven
motion of photoelectrons is followed on \mbox{sub-100}\,nm length scales, while
the dynamics are captured on 30-100 fs time scales. The build-up of electron
holes in the silver nanowires following photoelectron ejection, i.e. positive
charging, has also been observed. The fastest observed photoelectron temporal
response is 33 fs (FWHM), which represents an upper estimate of the instrument
response function and is consistent with an expected electron wavepacket
duration of 13 fs based on simulations.
| physics.app-ph physics.optics | femtosecond pointprojection microscopy fsppm is an electron microscopy technique that possesses a combination of high spatiotemporal resolution and sensitivity to local electric fields this allows it to visualize ultrafast charge carrier dynamics in complex nanomaterials we benchmark the capability of the fsppm technique by imaging the ultrafast dynamics of charge carriers produced by multiphoton ionization of silver nanowires the spacecharge driven motion of photoelectrons is followed on mboxsub100nm length scales while the dynamics are captured on 30100 fs time scales the buildup of electron holes in the silver nanowires following photoelectron ejection ie positive charging has also been observed the fastest observed photoelectron temporal response is 33 fs fwhm which represents an upper estimate of the instrument response function and is consistent with an expected electron wavepacket duration of 13 fs based on simulations | [['femtosecond', 'pointprojection', 'microscopy', 'fsppm', 'is', 'an', 'electron', 'microscopy', 'technique', 'that', 'possesses', 'a', 'combination', 'of', 'high', 'spatiotemporal', 'resolution', 'and', 'sensitivity', 'to', 'local', 'electric', 'fields', 'this', 'allows', 'it', 'to', 'visualize', 'ultrafast', 'charge', 'carrier', 'dynamics', 'in', 'complex', 'nanomaterials', 'we', 'benchmark', 'the', 'capability', 'of', 'the', 'fsppm', 'technique', 'by', 'imaging', 'the', 'ultrafast', 'dynamics', 'of', 'charge', 'carriers', 'produced', 'by', 'multiphoton', 'ionization', 'of', 'silver', 'nanowires', 'the', 'spacecharge', 'driven', 'motion', 'of', 'photoelectrons', 'is', 'followed', 'on', 'mboxsub100nm', 'length', 'scales', 'while', 'the', 'dynamics', 'are', 'captured', 'on', '30100', 'fs', 'time', 'scales', 'the', 'buildup', 'of', 'electron', 'holes', 'in', 'the', 'silver', 'nanowires', 'following', 'photoelectron', 'ejection', 'ie', 'positive', 'charging', 'has', 'also', 'been', 'observed', 'the', 'fastest', 'observed', 'photoelectron', 'temporal', 'response', 'is', '33', 'fs', 'fwhm', 'which', 'represents', 'an', 'upper', 'estimate', 'of', 'the', 'instrument', 'response', 'function', 'and', 'is', 'consistent', 'with', 'an', 'expected', 'electron', 'wavepacket', 'duration', 'of', '13', 'fs', 'based', 'on', 'simulations']] | [-0.10759724804265994, 0.18821845021761352, -0.0760674694080247, 0.04860309868933676, 0.012099126318313239, -0.11020137443214313, -0.008743447003679933, 0.4608281817614236, -0.25460814215413485, -0.3247727166775984, -0.011491215515895995, -0.319587333243494, -0.07254467332488608, 0.23587294440816037, 0.005173244855707896, 0.06141591460963015, 0.01122788890471099, -0.08047355596288924, -0.02548312800509841, -0.1626044411766734, 0.22445568017206574, 0.1589342400077055, 0.3106186045120463, 0.09784636298507338, 0.1591980106513663, 0.02822012852038477, 0.019520896552699327, -0.022408561301168823, -0.1249523873351277, 0.08154806250151787, 0.20412608349112837, 0.008199490082471539, 0.25379879946841766, -0.4996380847772114, -0.2406635342151609, -0.03916948630015956, 0.15873662096924568, 0.08160721344379211, -0.09080640343284477, -0.25769141405636004, 0.05088752905575146, -0.09513387166475522, -0.1282094226623992, -0.04538214238865287, 0.03528874694149344, 0.05354776847103383, -0.24986221230382683, 0.10382559529184861, 0.013177746280810958, 0.06527103039143671, -0.08895139533800663, 0.003781739473058522, -0.04011348491705215, 0.0481053177517917, 0.03663674488335755, 0.06005112732892131, 0.24195552865427186, -0.11374819279605708, -0.14001758139089945, 0.323114863049438, -0.07771312623846395, -0.07133550101087806, 0.1669513614126659, -0.24108457903000918, 0.003369784263453183, 0.2761514498745553, 0.10930992580971588, 0.18220823657528307, -0.1501353328820062, 0.03820309025779338, 0.0022766258396947655, 0.2788816650490497, 0.134767607981268, 0.10642110429284739, 0.21867830777284866, 0.2549863690297112, 0.046029992621989195, 0.0798565992260821, -0.23845625986729016, -0.01924503984583812, -0.18727594275624698, -0.13079467425762697, -0.2149600485083825, 0.10387755899409273, -0.04201662532237842, -0.12238044750997583, 0.44934707604178037, 0.1260077066351624, 0.14395934660769716, -0.04418709999366258, 0.29899911654421385, 0.1373173832335289, 0.057904897117276345, -0.016537152987883517, 0.19346543322210663, 0.14969594489679963, 0.11032289125821518, -0.3231167778913074, 0.07663171068331553, 0.0006152280030473498] |
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