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we present the solution of the discrete super - virasoro constraints to all orders of the genus expansion. integrating over the fermionic variables we get a representation of the partition function in terms of the one - matrix model. we also obtain the nonperturbative solution of the super - virasoro constraints in the...
arxiv:hep-th/9301017
we show that non - trivial su ( 3 ) structures can be constructed on large classes of calabi - yau three - folds. specifically, we focus on calabi - yau three - folds constructed as complete intersections in products of projective spaces, although we expect similar methods to apply to other constructions and also to ca...
arxiv:1805.08499
we study the existence and uniqueness problem of compact minimal vertical graphs in $ \ mathbb { h } ^ n \ times \ mathbb { r } $, $ n \ geq 2 $, over bounded domains in the slice $ \ mathbb { h } ^ n \ times \ { 0 \ } $, with non - connected boundary having a finite number of $ c ^ 0 $ hypersufaces homeomorphic to the...
arxiv:1303.3089
consider the problem of finding a point in an n - point metric space with the minimum average distance to all points. we show that this problem has no deterministic $ o ( n ^ 2 ) $ - query $ ( 4 - \ omega ( 1 ) ) $ - approximation algorithms.
arxiv:1401.2195
stress transmission in planar open - cell cellular solids is analysed using a recent theory developed for marginally rigid granular assemblies. this is made possible by constructing a one - to - one mapping between the two systems. general trivalent networks are mapped onto assemblies of rough grains, while networks wh...
arxiv:cond-mat/0210336
an historical overview is given of the relevant steps that allowed the genesis of the quantum theory of the chemical bond, starting from the appearance of the new quantum mechanics and following later developments till approximately 1931. general ideas and some important details are discussed concerning molecular spect...
arxiv:1309.4647
this paper proposes the online parameters identification of semi - empirical models of proton exchange membrane fuel cell ( pemfc ). the covariance of unknown measurement noise is also estimated simultaneously. the actual data are fed to kalman ( for linear - in - parameters models ) or extended kalman filter ( for non...
arxiv:1911.00704
we introduce perfect resolving algebras and study their fundamental properties. these algebras are basic for our theory of differential graded schemes, as they give rise to affine differential graded schemes. we also introduce etale morphisms. the purpose for studying these, is that they will be used to glue differenti...
arxiv:math/0212225
the flow equations or exact rg equations for the higgs top system are solved to leading order in $ 1 / n _ c $. this allows to relate arbitrary bare actions with this field content continuously to effective low energy theories, and we find the flow converging towards general renormalizable models. the assumption of a b...
arxiv:hep-ph/9212265
this study proposes a tactile diagram pattern for visually impaired people to recognize color information. the pattern uses the principle of three primary colors, with different patterns representing red, blue, and yellow. the size of tactile elements on these patterns indicates the proportion of the color mixing. a pr...
arxiv:2411.05116
in this article, we focus on erasure of a bit of information in finite time. landauer ' s principle states that the average heat dissipation due to erasure of information is k _ b t ln 2, which is achievable only in an asymptotic manner. recent theoretical developments in non - equilibrium thermodynamics and stochastic...
arxiv:1809.09216
this paper investigates the dynamics of entanglement within the jaynes - cummings model ( jcm ), focusing on the behavior of atoms in both bell and werner states, when subjected to thermal and squeezed photons represented by squeezed coherent thermal states ( scts ). we study the entanglement between the two atoms as w...
arxiv:2410.18466
we discuss on noise in heterodyne holography in an off - axis configuration. we show that, for a weak signal, the noise is dominated by the shot noise on the reference beam. this noise corresponds to an equivalent noise on the signal beam of one photoelectron per pixel, for the whole sequence of images used to build th...
arxiv:1206.1475
in this paper we discuss search strategies at the lhc for light electroweak gauginos which are mostly wino - like, higgsino - like or an admixture. these states are typically degenerate with decay products that are less energetic and hence difficult to detect. in addition, their production cross - sections at a hadron ...
arxiv:1407.1833
in this paper, we consider quadratic forward - backward sdes ( qfbsdes ), for { which } the drift in the forward equation does not satisfy the standard globally lipschitz condition and the driver of the backward system { possesses } nonlinearity of type $ f ( | y | ) | z | ^ 2, $ where $ f $ is any locally integrable f...
arxiv:2210.05622
twisted bilayer graphene gives rise to large moir \ ' { e } patterns that form a triangular network upon mechanical relaxation. if gating is included, each triangular region has gapped electronic dirac points that behave as bulk topological insulators with topological indices depending on valley index and the type of s...
arxiv:2206.05580
we derive quantum zakharov - kuznetsov to study ion acoustic solitons propagating in electron positron ( hole ) ion degenerate plasma with quantized magnetic field and exchange corelation effects.
arxiv:1804.10269
numberlink is a puzzle game in which players are given a grid with nodes marked with a natural number, $ n $, and asked to create $ n $ connections with neighboring nodes. connections can only be made with top, bottom, left and right neighbors, and one cannot have more than two connections between any neighboring nodes...
arxiv:2210.02888
presenting high - resolution ( hr ) human appearance is always critical for the human - centric videos. however, current imagery equipment can hardly capture hr details all the time. existing super - resolution algorithms barely mitigate the problem by only considering universal and low - level priors of im - age patch...
arxiv:2005.13222
the present paper formulates and solves a problem of dividing coins. the basic form of the problem seeks the set of the possible ways of dividing coins of face values 1, 2, 4, 8,... between three people. we show that this set possesses a nested structure like the sierpinski - gasket fractal. for a set of coins with fac...
arxiv:1307.0911
in this paper we consider the problem $ - \ delta u = | x | ^ { \ alpha } f ( u ) $ in $ r ^ n $, with $ \ alpha > 0 $ and $ n \ ge3 $. under some assumptions on $ f $ we deduce the existence of nonradial solutions which bifurcate from the radial one when $ \ alpha $ is an even integer.
arxiv:1502.07955
aims : accurate astrometry is required to reliably cross - match 20th - century catalogues against 21st - century surveys. the present work aims to provide such astrometry for the 625 entries of the bohannan & epps ( be74 ) catalogue of h $ \ alpha $ emission - line stars. methods : be74 targets have been individually ...
arxiv:1210.1837
we study transient patterns appearing in a class of spde using the framework of quasi - stationary and quasi - ergodic measures. in particular, we prove the existence and uniqueness of quasi - stationary and quasi - ergodic measures for a class of reaction - diffusion systems perturbed by additive cylindrical noise. we...
arxiv:2203.16113
we study the problem of multiclass list classification with ( semi - ) bandit feedback, where input examples are mapped into subsets of size $ m $ of a collection of $ k $ possible labels, and the feedback consists of the predicted labels which lie in the set of true labels of the given example. our main result is for ...
arxiv:2502.09257
we consider the geometry associated to the ambiguities of the one - dimensional fourier phase retrieval problem for vectors in $ { \ mathbb c } ^ { n + 1 } $. our first result states that the space of signals has a finite covering ( which we call the root covering ) where any two signals in the covering space with the ...
arxiv:1811.06963
there is a huge amount of work on different kinds of theta functions, the theta correspondence, cohomology classes coming from special schwartz classes via theta distribution, and much more. the aim of this text is to try to find joint construction principles while often leaving aside relevant but cumbersome details.
arxiv:0807.4654
this paper gives examples of explicit arbitrage - free term structure models with l \ ' evy jumps via state price density approach. by generalizing quadratic gaussian models, it is found that the probability density function of a l \ ' evy process is a " natural " scale for the process to be the state variable of a mar...
arxiv:math/0612341
this paper addresses the challenge of achieving robust and reliable positioning of a radio device carried by an agent, in scenarios where direct line - of - sight ( los ) radio links are obstructed by the agent. we propose a bayesian estimation algorithm that integrates active measurements between the radio device and ...
arxiv:2504.18301
one of the most intriguing puzzle is why there is a coexistence of fermi arcs and fermi pockets in the pseudogap phase of cuprate superconductors? this puzzle is calling for an explanation. based on the t - j model in the fermion - spin representation, the coexistence of the fermi arcs and fermi pockets in cuprate supe...
arxiv:1608.04256
in this paper, we consider the problem of probabilistic stability analysis of a subclass of stochastic hybrid systems, namely, polyhedral probabilistic hybrid systems ( pphs ), where the flow dynamics is given by a polyhedral inclusion, the discrete switching between modes happens probabilistically at the boundaries of...
arxiv:2304.02647
the nasa dawn spacecraft acquired thousands of images of asteroid vesta during its year - long orbital tour, and is now on its way to asteroid ceres. a method for calibrating images acquired by the onboard framing camera was described by schr \ " oder et al. ( 2013 ; icarus 226, 1304 ). however, their method is only va...
arxiv:1701.09027
978 - 0 - 471 - 32013 - 5. eberhart, mark ( 2003 ). why things break : understanding the world by the way it comes apart. harmony. isbn 978 - 1 - 4000 - 4760 - 4. gaskell, david r. ( 1995 ). introduction to the thermodynamics of materials ( 4th ed. ). taylor and francis publishing. isbn 978 - 1 - 56032 - 992 - 3. gonza...
https://en.wikipedia.org/wiki/Materials_science
we present joint theoretical - experimental study of the correlation effects in the electronic structure of ( pyh ) $ _ 3 $ [ mn $ _ 4 $ o $ _ 3 $ cl $ _ 7 $ ( oac ) $ _ 3 $ ] $ \ cdot $ 2mecn molecular magnet ( mn $ _ 4 $ ). describing the many - body effects by cluster dynamical mean - field theory, we find that mn $...
arxiv:0804.0792
we present new interferometer molecular observations of r leo taken at 1. 2 mm with the atacama large millimeter array with an angular resolution up to ~ 0. 026 arcsec. these observations permit us to resolve the innermost envelope of this star revealing the existence of a complex structure that involves extended conti...
arxiv:1902.02574
perturbation theory has long been a very useful tool in the hands of mathematicians and physicists. the purpose of this paper is to prove some perturbation results for infinitesimal generators of fractional strongly continuous cosine families. that is, we impose sufficient conditions such that $ \ mathscr { a } $ is th...
arxiv:2109.11297
##tyle { \ tilde { x } } } is ranges over token sequences of a specified length. = = limitations = = while the process of writing and refining a prompt for an llm or generative ai shares some parallels with an iterative engineering design process, such as through discovering ' best principles ' to reuse and discovery t...
https://en.wikipedia.org/wiki/Prompt_engineering
in 2011, hibbard suggested an intelligence measure for agents who compete in an adversarial sequence prediction game. we argue that hibbard ' s idea should actually be considered as two separate ideas : first, that the intelligence of such agents can be measured based on the growth rates of the runtimes of the competit...
arxiv:2101.12047
sequence to sequence learning models still require several days to reach state of the art performance on large benchmark datasets using a single machine. this paper shows that reduced precision and large batch training can speedup training by nearly 5x on a single 8 - gpu machine with careful tuning and implementation....
arxiv:1806.00187
this paper addresses the problem of controlling a variable - speed wind turbine with a doubly fed induction generator ( dfig ), modeled as an electromechanically - coupled nonlinear system with rotor voltages and blade pitch angle as its inputs, active and reactive powers as its outputs, and most of the aerodynamic and...
arxiv:1006.5277
if a normalized k \ " { a } hler - ricci flow $ g ( t ), t \ in [ 0, \ infty ), $ on a compact k \ " { a } hler $ n $ - manifold, $ n \ geq 3 $, of positive first chern class satisfies $ g ( t ) \ in 2 \ pi c _ { 1 } ( m ) $ and has $ l ^ { n } $ curvature operator uniformly bounded, then the curvature operator will al...
arxiv:0710.3919
we construct the deformed dirac monopole on the quantum sphere for arbitrary charge using two different methods and show that it is a quantum principal bundle in the sense of brzezinski and majid. we also give a connection and calculate the analog of its chern number by integrating the curvature over $ s ^ 2 _ q $.
arxiv:hep-th/9404023
we develop a systematic approach to deriving rational solutions and obtaining classification of their parameters for dressing chains of even n periodicity or equivalently $ a ^ { ( 1 ) } _ { n - 1 } $ invariant painlev \ ' e equations. this construction identifies rational solutions with points on orbits of fundamental...
arxiv:2206.06482
we study the problem of classifying the irreducible projective varieties $ x $ of dimension $ n \ ge 2 $ in $ \ bbb p ^ n $ which contain an algebraic family $ \ cal f $ of dimension $ h + 1 $ ( $ h < n $ ) of subvarieties $ y $ of dimension $ n - h $, each one contained in a $ \ bbb p ^ { n - h - 1 } $. we prove that ...
arxiv:alg-geom/9303002
we present a relativistic quark model for baryons, based on the bethe - salpeter equation in instantaneous approximation. confinement is implemented by an interaction kernel which essentially is a linearly rising potential with a spin - dependence chosen such as to minimize spin - orbit effects. the fine structure of t...
arxiv:hep-ph/9712246
existing guidelines for categorical color selection are heuristic, often grounded in intuition rather than empirical studies of readers ' abilities. while design conventions recommend palettes maximize hue differences, more recent exploratory findings indicate other factors, such as lightness, may play a role in effect...
arxiv:2404.03787
i shall argue that the high tc problem is the problem of doping into a mott insulator. furthermore, the well documented pseudo - gap phenomenon in underdoped cuprates holds the key to understanding this physics. phase fluctuation alone cannot explain this phenomenon, but there is a clear need to identify a competing st...
arxiv:cond-mat/0307508
we construct a four - dimensional version of the equation of state ( eos ) model neos, neos - 4d, as a function of the temperature and chemical potentials of baryon, electric charge, and strangeness for the hot and dense qcd matter created in relativistic nuclear collisions. this eos enables multiple conserved charge c...
arxiv:2406.11610
we describe a modification of khovanov homology ( math. qa / 9908171 ), in the spirit of bar - natan ( math. gt / 0410495 ), which makes the theory properly functorial with respect to link cobordisms. this requires introducing ` disorientations ' in the category of smoothings and abstract cobordisms between them used i...
arxiv:math/0701339
we study the interplay between coherent transport by tunneling and diffusive transport through classically chaotic phase - space regions, as it is reflected in the floquet spectrum of the periodically driven quartic double well. the tunnel splittings in the semiclassical regime are determined with high numerical accura...
arxiv:chao-dyn/9310006
we analyse the detailed distribution of star - forming and post - starburst members in three distant ( z = 0. 31 ) galaxy clusters in terms of evolutionary sequences that incorporate secondary bursts of star formation on pre - existing stellar populations. using the number density of spectroscopically - confirmed membe...
arxiv:astro-ph/9509157
an implementation compatible with the standard library ( apache harmony ). = = = = controversy = = = = the use of java - related technology in android led to a legal dispute between oracle and google. on may 7, 2012, a san francisco jury found that if apis could be copyrighted, then google had infringed oracle ' s copy...
https://en.wikipedia.org/wiki/Java_(programming_language)
for the first time the phenomenon of cellular structure coarsening are consistently analysed from the positions of kinetic, hydrodynamic and stochastodynamic theories of nonequilibrium statistical systems. thereby micro -, meso - and macroscopic levels of approach are distinguished. at the microscopic level the cellula...
arxiv:cond-mat/9710131
as a general model compression paradigm, feature - based knowledge distillation allows the student model to learn expressive features from the teacher counterpart. in this paper, we mainly focus on designing an effective feature - distillation framework and propose a spatial - channel adaptive masked distillation ( amd...
arxiv:2301.13538
we present a divergence - free and $ h ( div ) $ - conforming hybridized discontinuous galerkin ( hdg ) method and a computationally efficient variant called embedded - hdg ( e - hdg ) for solving stationary incompressible viso - resistive magnetohydrodynamic ( mhd ) equations. the proposed e - hdg approach uses contin...
arxiv:2310.06687
we investigate the process of phase - controlled high - order above - threshold photoemission from sharp metallic nanotips under bichromatic laser fields. experimental photoelectron spectra resulting from two - color excitation with a moderately intense near - infrared fundamental field ( 1560 nm ) and its weak second ...
arxiv:1802.04553
jets and outflows trace the accretion history of protostars. high - velocity molecular jets have been observed from several protostars in the early class \, 0 phase of star formation, detected with the high - density tracer sio. until now, no clear jet has been detected with sio emission from isolated evolved class \, ...
arxiv:2110.14035
we investigate two notions about descriptions of groups using first - order language : quasi - finite axiomatizability, concerning infinite groups, and polylogarithmic compressibility, concerning classes of finite groups.
arxiv:1305.0080
optical monitoring of s5 0716 + 714 was performed with a 60 / 90 schmidt telescope in 2003 november and december and 2004 january for studying the variability of the object on short timescales. due to the high brightness of the source we could carry out quasi - simultaneous measurements in three bands with a temporal r...
arxiv:astro-ph/0501184
the high thermal conductivity of boron arsenide ( bas ) makes it a promising material for optoelectronic applications in which thermal management is central. in this work, we study the finite temperature optoelectronic properties of bas by considering both electron - phonon coupling and thermal expansion. the inclusion...
arxiv:1904.11511
we study an auction with $ m $ identical items in a context where $ n $ agents can arbitrarily commit to strategies. in general, such commitments non - trivially change the equilibria by inducing a metagame of choosing which strategies to commit to. in this model, we demonstrate a strategy that an attacker may commit t...
arxiv:2305.02178
we map the distribution of unpolarized quarks inside a unpolarized pion as a function of the quark ' s transverse momentum, encoded in unpolarized transverse momentum distributions ( tmds ). we extract the pion tmds from available data of unpolarized pion - nucleus drell - yan processes, where the cross section is diff...
arxiv:2210.01733
the exact solution of the spin - 1 / 2 falicov - kimball model on an infinite - coordination bethe lattice is analyzed in the regime of ` ` classical ' ' intermediate valence. we find ( i ) either phase separation or a direct metal - insulator transition preclude intermediate valence over a large portion of the phase d...
arxiv:cond-mat/9907121
we describe a possibility of creating non - stationary electron wave packets in zigzag carbon nanotubes ( cnt ) illuminated by short laser pulses. after disappearance of the pulse the packet experiences the trembling motion ( zitterbewegung, zb ). the band structure of cnt is calculated using the tight - binding approx...
arxiv:1312.4709
the cyclic sum formulas for multiple zeta and zeta - star values were respectively proved by hoffman and ohno, and ohno and wakabayashi. kawasaki and oyama obtained an analogous formulas for finite multiple zeta and zeta - star values. in this paper, we give a generalization of kawasaki and oyama ' s results.
arxiv:2004.00840
environment perception is the task for intelligent vehicles on which all subsequent steps rely. a key part of perception is to safely detect other road users such as vehicles, pedestrians, and cyclists. with modern deep learning techniques huge progress was made over the last years in this field. however such deep lear...
arxiv:1905.10296
c - type shocks are believed to be ubiquitous in turbulent molecular clouds thanks to ambipolar diffusion. we investigate whether the drag instability in 1d isothermal c - shocks, inferred from the local linear theory of gu & chen, can appear in non - ideal magnetohydrodynamic simulations. two c - shock models ( with n...
arxiv:2207.04355
the study of topological superconductivity is largely based on the analysis of mean - field hamiltonians that violate particle number conservation and have only short - range interactions. although this approach has been very successful, it is not clear that it captures the topological properties of real superconductor...
arxiv:2003.05948
we study the phases of near - extremal branes on a circle, by which we mean near - extremal branes of string theory and m - theory with a circle in their transverse space. we find a map that takes any static and neutral kaluza - klein black hole, i. e. any static and neutral black hole on minkowski - space times a circ...
arxiv:hep-th/0407094
in mathematics, the magnitude or size of a mathematical object is a property which determines whether the object is larger or smaller than other objects of the same kind. more formally, an object ' s magnitude is the displayed result of an ordering ( or ranking ) of the class of objects to which it belongs. magnitude a...
https://en.wikipedia.org/wiki/Magnitude_(mathematics)
let a be a banach algebra, and let a ; b ; c 2 a satisfying a ( ba ) ^ 2 = abaca = acaba = ( ac ) ^ 2a : we prove that 1 - ba \ in a ^ d if and only if 1 - ac \ in a ^ d. in this case, ( 1 - ac ) ^ d = 1 - a ( 1 - ba ) ^ { \ pi } ( 1 - \ alpha ( 1 + ba ) ) ^ { - 1 } bac ( 1 + ac ) + a ( ( 1 - ba ) ^ d ) bac. this exten...
arxiv:2006.06736
in this paper, we consider an estimation problem concerning the matrix of correlation coefficients in context of high dimensional data settings. in particular, we revisit some results in li and rolsalsky [ li, d. and rolsalsky, a. ( 2006 ). some strong limit theorems for the largest entries of sample correlation matric...
arxiv:1706.06638
a new statistical method of alignment of two heteropolymers which can form hierarchical cloverleaf - like secondary structures is proposed. this offers a new constructive algorithm for quantitative determination of binding free energy of two noncoding rnas with arbitrary primary sequences. the alignment of ncrnas diffe...
arxiv:1011.2605
or limit activities and uses. an internationally accepted soil taxonomy allows uniform communication of soil characteristics and soil functions. national and international soil survey efforts have given the profession unique insights into landscape - scale functions. the landscape functions that soil scientists are cal...
https://en.wikipedia.org/wiki/Soil_science
effects of non - magnetic disorder on the critical temperature t _ c and on diamagnetism of quasi - one - dimensional superconductors are reported. the energy of josephson - coupling between wires is considered to be random, which is typical for dirty organic superconductors. we show that this randomness destroys phase...
arxiv:1103.1806
we have experimentally compared the critical current, dark count rate and photo - response of 100nm wide superconducting nanowires with different bend designs. enhanced critical current for nanowires with optimally rounded bends, and thus with no current crowding, are observed. furthermore, we find that the optimally d...
arxiv:1205.4290
we present a new nucleosynthesis process, that we denote nu p - process, which occurs in supernovae ( and possibly gamma - ray bursts ) when strong neutrino fluxes create proton - rich ejecta. in this process, antineutrino absorptions in the proton - rich environment produce neutrons that are immediately captured by ne...
arxiv:astro-ph/0511376
located in the stratospheric layer of earth ' s atmosphere, high altitude platform station ( haps ) is a promising network infrastructure, which can bring significant advantages to sixth - generation ( 6g ) and beyond wireless communications systems by forming vertical heterogeneous networks ( vhetnets ). however, if n...
arxiv:2307.08202
we present three - dimensional numerical simulations of the classical taylor experiment on droplet deformation within a shear flow. we have used the promising lattice - boltzmann method numerical scheme to simulate single droplet deformation and breakup under simple shear flow. we first compute the deformation of the d...
arxiv:comp-gas/9807001
we obtained halpha diffraction limited data of the lbv star p cyg using the onera adaptive optics ( ao ) facility boa at the ohp 1. 52m telescope on october 1997. taking p cyg and the reference star 59 cyg ao long exposures we find that p cyg clearly exhibits a large and diffuse intensity distribution compared to the 5...
arxiv:astro-ph/0009198
we investigate the entanglement structure and wave function characteristics of continuously monitored free fermions with u $ ( 1 ) $ - symmetry in two spatial dimensions ( 2d ). by deriving the exact fermion replica - quantum master equation, we line out two approaches : ( i ) a nonlinear sigma model analogous to disor...
arxiv:2309.12391
when reading a document, glancing at the spatial layout of a document is an initial step to understand it roughly. traditional document layout analysis ( dla ) methods, however, offer only a superficial parsing of documents, focusing on basic instance detection and often failing to capture the nuanced spatial and logic...
arxiv:2502.02501
we study the robust mean estimation problem in high dimensions, where $ \ alpha < 0. 5 $ fraction of the data points can be arbitrarily corrupted. motivated by compressive sensing, we formulate the robust mean estimation problem as the minimization of the $ \ ell _ 0 $ - ` norm ' of the outlier indicator vector, under ...
arxiv:2008.09239
i present a short review of the present status of the standard model prediction of the anomalous magnetic moment of the muon, with special emphasis on the hadronic contributions.
arxiv:hep-ph/0208251
the old question of rotational braking of ap si stars is revisited on the empirical side, taking advantage of the recent hipparcos results. field stars with various evolutionary states are considered, and it is shown that the loose correlation between their rotational period and their surface gravity is entirely compat...
arxiv:astro-ph/9802286
the purpose of this paper is to address a manifold - based version of whitney ' s extension problem : given a compact set $ e \ subset \ mathbb { r } ^ n $, how can we tell if there exists a $ d $ - dimensional, $ c ^ m $ - smooth manifold $ \ mathcal { m } \ supset e $? we provide an answer for compact manifolds with ...
arxiv:2310.13115
there is increasing attention to chemical applications of transmission electron microscopy, which is often plagued by radiation damage. the damage in organic matter predominantly occurs via ionization ( radiolysis ). although radiolysis is highly important, previous studies on radiolysis have largely been descriptive a...
arxiv:2110.02530
similarity analysis of microalgae growth is crucial for understanding microalgae cultivation, such analysis has not been considered before in previous studies. this letter considers the natural features of the microalgae growth phenomenon that are different from the inanimate process. accordingly, the similarity of lig...
arxiv:2205.05846
in a recent work, we found formulas for the fourier coefficients of automorphic forms of type $ g _ 2 $ : holomorphic siegel modular forms on $ \ mathrm { sp } _ 6 $ that are theta lifts from $ g _ 2 ^ c $, and cuspidal quaternionic modular forms on split $ g _ 2 $. we have implemented these formulas in the mathematica...
arxiv:2401.02922
we propose a superfield description of osp ( 1, 2 ) covariant quantization by extending the set of admissibility conditions for the quantum action. we realize a superfield form of the generating equations, specify the vacuum functional and obtain the corresponding transformations of extended brst symmetry.
arxiv:hep-th/0107182
in this paper, we study convex risk measures with weak optimal transport penalties. in a first step, we show that these risk measures allow for an explicit representation via a nonlinear transform of the loss function. in a second step, we discuss computational aspects related to the nonlinear transform as well as appr...
arxiv:2312.05973
the authors compute the support varieties of all irreducible modules for the small quantum group $ u _ \ zeta ( \ mathfrak { g } ) $, where $ \ mathfrak { g } $ is a simple complex lie algebra, and $ \ zeta $ is a primitive $ \ ell $ - th root of unity with $ \ ell $ larger than the coxeter number of $ \ mathfrak { g }...
arxiv:0905.4707
in this paper, we apply the self - attention from the state - of - the - art transformer in attention is all you need for the first time to a data - driven operator learning problem related to partial differential equations. an effort is put together to explain the heuristics of, and to improve the efficacy of the atte...
arxiv:2105.14995
a covariant spinor representation of $ iosp ( d, 2 / 2 ) $ is constructed for the quantization of the spinning relativistic particle. it is found that, with appropriately defined wavefunctions, this representation can be identified with the state space arising from the canonical extended bfv - brst quantization of the ...
arxiv:hep-th/9908002
charge - dependent two - and three - particle correlations measured in xe - xe collisions at $ \ sqrt { s _ { \ mathrm { nn } } } = 5. 44 $ tev are presented. results are obtained for charged particles in the pseudorapidity range $ | \ eta | < 0. 8 $ and transverse momentum interval $ 0. 2 \ le p _ { \ rm t } < 5. 0 $ ...
arxiv:2210.15383
we consider hybrid systems consisting of a hole - doped semiconductor coupled to electronic states of finite - size superconductors, where the opposite sign of the masses in the two subsystems give rise to insulating gaps at subband anticrossings. consequently, increasing the coupling strength to the superconductor can...
arxiv:2504.21817
besides general features of two - boson mass distributions, experimental results are are discussed. furthermore, e ( 38 mev ) and z ( 57. 5 gev ) are highlighted.
arxiv:1605.03437
creating new ties in a social network facilitates knowledge exchange and affects positional advantage. in this paper, we study the process, which we call network building, of establishing ties between two existing social networks in order to reach certain structural goals. we focus on the case when one of the two netwo...
arxiv:1605.03644
les feuilletages de hirsch sont des feuilletages par surfaces de vari \ ' et \ ' es compactes ferm \ ' ees de dimension 3, dont la dynamique transverse est celle d ' un endomorphisme du cercle de degr \ ' e strictement sup \ ' erieur \ ` a 1. le but de cette note est de construire, \ ` a partir d ' une g - mesure assoc...
arxiv:1103.0177
social commerce platforms are emerging businesses where producers sell products through re - sellers who advertise the products to other customers in their social network. due to the increasing popularity of this business model, thousands of small producers and re - sellers are starting to depend on these platforms for...
arxiv:2402.12759
folklore says that howard ' s policy improvement algorithm converges extraordinarily fast, even for controlled diffusion settings. in a previous paper, we proved that approximations of the solution of a particular parabolic partial differential equation obtained via the policy improvement algorithm show a quadratic loc...
arxiv:1709.06466