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collider constraint axion like speck current condition future prospect hunting axion correspond mote alp collider often focalise cern lhc summarise restraint alp mass gev couple photon well higgs boson set lhc lookup new resonance di tri four photon final state inclusive exclusive diphotons proton proton lead lead hit pp pbpb well exotic higgs boson decay pp pp analyzed sole search pbpb hit provide best exclusion decimal point accrual alp plenty gev whereas transmission channel competitory one gev tev integrated alp production cross segment nb shut confidence level corresponding constraint axion photon coupling tev broad mass grasp component improvement limit bear lhc draw near tev gev tev side side decade | 16 | 820,526 | [
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condensate anomaly cascade transmitter like possibility study bilinear high order fermion condensate dimensional gauge hypothesis single paul adrien maurice dirac fermion general internal representation augment miscellaneous anomaly form distinct chiral form shopping centre form heavy particle issue correspondence bc anomaly sort theory admit high spirit ordering condensation vanishing fermion bilinears bc anomaly utilized prove absence topologic quantum field theory nonvanishing fermion bilinears inevitable infrared gapped theory power antisymmetric fermion besides contrast bc anomaly form unusual person show quondam anomaly determines infrared physic argue bc anomaly skulk deep infrared form anomaly sport local term bring home bacon evidence assertion studying bc anomaly vector like theory compactified small spacial circle possibility weakly coupled analytical control condition accept dual description term abelian photon determine deep infrared dynamic visual aspect dual photon talk immediately form eye symmetry parliamentary law match bc anomaly form anomaly variance local term check fiat finally learn fate bc anomaly compactified theory held finite temperature effective field hypothesis describes blue energy physic dimensional show bc anomaly cascade dimension | 19 | 420,748 | [
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classical limit mean field quantum spin system theory strict deformation quantization two sphere used prove existence classical limit mean field quantum spin chain whose ensuing hamiltonians denoted indicates number site indeed since fiber form continuous bundle algebra base space one define strict deformation quantization quantization specified certain quantization map dense poisson subalgebra given sequence show assumption sequence eigenvectors classical limit sense exists state given natural number give application regarding spontaneous symmetry breaking ssb moreover show spectrum mean field quantum spin system converges range polynomial three real variable restricted sphere | 8 | 656,400 | [
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nonclassical measurement mistake outcome variable study semi nonparametric regression poser general physique nonclassical measuring misplay consequence variable show compare model generalized retroversion model independent identifying assumption limited regressor type restriction monotonicity nonlinear relationship keep unobserved true outcome nonparametric designation obtained normalization unknown link function natural file name extension classical measurement error case pop question novel sieve rank estimator regression function establish charge per unit convergence monte carlo model find estimator corrects bias induced nonclassical measurement computer error provides numerically static result apply method analyze impression formation line market expectation survey data german socio economical panel soep find ground nonclassical measure fault subjective belief data | 18 | 1,612,310 | [
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interference control utility regulatory meshwork spatial patterning stochasticity noise cellular molecular level respect extensively ecumenical feature living system however living organization deal noise performing desirable biologic use remains major closed book regulative network shape topographic anatomy timescale shown critical attenuating noise stochasticity also plant facilitate cellphone fate conclusion review major recent finding noise attenuation regulatory control welfare disturbance via noise induced cellular plasticity developmental patterning summarize key principle underlying noise control | 5 | 1,082,008 | [
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dynamical degree affine triangular automorphisms affine space study possible dynamical degree automorphisms affine space dimension determine dynamical degree arising composition affine automorphism triangular one generalises easier case shift like automorphisms studied dimension also prove weak perron number dynamical degree affine triangular automorphism affine space give best possible quadratic integer either | 1 | 508,033 | [
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one eyelet feynman integral scattering involving many scale including internal mass study several multiscale ane loop five point family feynman constitutional specifically employ simplified differential equality approach obtain result terminus goncharov polylogarithms preternatural angle quartet class two monolithic external leg massless propagator well one massive internal line massive external branch first clock time computational approach go case involving internal mass | 9 | 1,658,875 | [
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magneto electro static axionically active organization induced field restructuring charismatic star framework einstein james clerk maxwell axion theory consider still field configuration outer zone magnetic star assume field configuration shape following interacting quartette spherically symmetric gravitational field reissner nordstrom type pseudoscalar field associate axionic dark matter strong intrinsic charismatic field axionically induced electric field based analysis solution schoolmaster equivalence model show construction formed field constellation reveals following treble effect first warm magnetised field star dipole component axionic halo around magnetic star spherically symmetric gravitational field longer ellipsoid distortion induced axion photon mate second due distortion axionic annulus magnetised field longer pure dipolar cause quadruple octupole etc component come redistributing magnetic energy constituent steep radial tire profile dipolar third interaction axionic magnetic field produce electric field inherits multipole anatomical structure attract attention possible application predict field restructuring theory axionic rotating magnetars | 11 | 293,050 | [
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representation joint second cue characteristic multinomial term painleve function constitute internal representation joint moment characteristic polynomial cue random matrix derivative term solution sigma painleve equation derivation involves analysis formula joint second terminus determinant generalised laguerre multinomial use bernhard riemann hilbert method usage connection sigma painleve equation derive explicit formula joint instant show orotund matrix limit joint moment related solution sigma painleve iii par using conformal occlusion expanding upon tau part associated sigma painleve sigma painleve equation lead general surmisal joint moment | 12 | 715,375 | [
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beam spin asymmetry hyperon photoproduction neutron story novel measurement beam spin asymmetry chemical reaction using quasi free neutron liquid deuterium target new dataset include data point antecedently unmeasured photon vigor angular range thereby providing novel constraint partial wave analysis used extract property excited nucleon land experimental data obtained using cebaf large espousal spectrometer clas housed residence thomas thomas jefferson national accelerator facility jlab clas detector measured reaction mathematical product liquid deuterium target produced energy tag linearly polarised photon beam energy range gev prediction isobar model bespeak strong sensitivity latter state considered previous photoproduction analysis data incorporated set fond undulation psychoanalysis one observe significant change match sonority small branching ratio channel | 17 | 350,115 | [
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condensation quark gluon plasma finite baryon density present paper return problem spontaneous generation background field qcd finite temperature include addition quark chemical potential reproduce known expression term bernoulli polynomial gluon quark using formalism calculate dependence small expansion numerically finite one result chemical potential weakly change value condensed field quite strongly deepens minimum effective potential gauge dependence condensation discussed term nielsen identity also expressed term polyakovs loop representation guarantee gauge invariance condensation phenomenon also discus dependence polyakov loop minimum effective potential chemical potential | 7 | 1,573,908 | [
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pressure tuning structural magnetic transition euagas report temperature dependent measurement ambient pressure specific heat magnetic susceptibility anisotropic resistivity thermal expansion well plane resistivity pressure kbar single crystal euagas based thermal expansion plane electrical transport measurement ambient pressure compound two first order structural transition temperature range ambient pressure specific heat magnetization thermal expansion measurement show cascade seven transition associated ordering eu moment plane electrical transport able detect prominent transition well weak feature ambient pressure pressure dependent electrical transport data show magnetic transition shift higher temperature pressure upper structural transition whereas lower structural transition suppressed ultimately vanishes jump resistivity associated upper structural transition decrease pressure extrapolated disappearance change sign kbar kbar range kink pressure dependence upper structural transition temperature well high low temperature plane resistivity suggest change electronic structure may occur pressure range result compared literature data sragas | 4 | 1,378,062 | [
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hirota quadratic equation gromov witten changeless fano orbifold line sort dynkin diagram type known corresponding entire descendent potential tau office appropriate kac wakimoto power structure also known case kac wakimoto power structure admit extension full descendant potency tau function extended kac wakimoto hierarchy end paper prove case full descendent potential well tau function extended kac wakimoto power structure | 9 | 1,713,382 | [
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selective exposure shape facebook news diet social brain hypothesis fix number social relationship able maintain similar cognitive constraint emerge several aspect daily life mobility way communicate might even affect way consume information online indeed despite unprecedented amount information access online attention span still remains limited furthermore recent study showed tendency user ignore dissenting information interact information adhering point view paper quantitatively analyze user attention economy news consumption social medium analyzing user interacting news outlet page facebook time span year particular explore user distribute activity across news page topic find independently activity user show tendency follow limited number page hand user tend interact almost topic presented favored page finally introduce taxonomy accounting user behavior distinguish pattern selective exposure interest finding suggest segregation user echo chamber might emerging effect user activity social medium selective exposure ie tendency user consume information interest coherent preference could major driver consumption pattern | 2 | 1,459,926 | [
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rans equation explicit data driven reynolds stress closure ill conditioned reynolds averaged navier stokes rans simulation turbulence closure model continue play important role industrial flow simulation however commonly used linear eddy viscosity model intrinsically unable handle flow non equilibrium turbulence reynolds stress model hand plagued lack robustness recent study plane channel flow found even substituting reynolds stress error direct numerical simulation dns database rans equation lead velocity large error observation may marginal relevance traditional reynolds stress model disturbing recently emerging data driven model treat reynolds stress explicit source term rans equation suggests rans equation model ill conditioned far rigorous analysis condition model still lacking work propose metric based local condition number function priori evaluation conditioning rans equation show ill conditioning cannot explained global matrix condition number discretized rans equation comprehensive numerical test performed turbulent channel flow various reynolds number additionally two complex flow ie flow periodic hill flow square duct result suggest proposed metric adequately explain observation previous study ie deteriorated model conditioning increasing reynolds number better conditioning implicit treatment reynolds stress compared explicit treatment metric play critical role future development data driven turbulence model enforcing conditioning requirement model | 2 | 1,379,722 | [
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relaxation order argument statistic dynamic confinement study relaxation local ferromagnetic order quantum ising chain slant field longitudinal transverse component preparing system rule fully polarize state analyse time phylogenesis entire probability statistical distribution routine pdf magnetisation within block spin first analyse issue confinement gaussification pdf expectant show disappear initial order inhibit longitudinal field adjust initial magnetization sped diametric direction study thermalisation dynamic paramagnetic neighborhood pdf quickly show thermal feature conversely ferromagnetic phase confinement take place loosening suffers typical slow depends interplay strength longitudinal field density excitation direction initial polarisation yet initial magnetisation aligned oppositely longitudinal arena confinement prevents thermalisation approachable timescale neatly bared pdf | 13 | 1,286,559 | [
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confronting spin raw fermion negative muon measurement novel measurement muon anomalous magnetic moment released muon experiment fermilab set strong constraint property many new speck using efficient battlefield theory approach interaction higher spin field evaluate contribution electrically neutral colour undershirt twisting fermion derive corresponding restraint mass couple constraint equate one spin fermion transmitter like lepton predicted versatile extension touchstone model excite lepton appear composite simulation well charginos neutralinos supersymmetric theory unlike raw spin fermion spin corpuscle generate small contribution muon anomalous charismatic instant | 9 | 1,749,648 | [
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splitting genus deuce supermoduli article investigates genus deuce supermoduli space curve break open line potentially almost supermoduli space use dimension odd versal deformation space genus two crack riemann surface deuce dimensional upshot odd versal deformation generated schiffer edition colligate point szego kernel idea present dhoker phongs deuce loop superstring amplitude calculation show idea immix donagi wittens characterization supermoduli obstruction issue splitting supermoduli space genus | 8 | 679,781 | [
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comment double copy building gravitational theory revisit double copy description linearise gravity point various expert issue nicety associated setting double written matter description including trouble matching degree freedom side double copy dictionary related issue restraint graviton dilaton germ introduce discus potential firmness purpose issue | 9 | 1,753,481 | [
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characteristic human mobility pattern revealed high frequency cell phone position data human mobility important characteristic human behavior since tracking personalized position high temporal spatial resolution difficult study human mobility pattern rely largely mathematical model seminal model assume frequently visited location tend visited reproduce wide range statistical feature including collective mobility flux numerous scaling law however model cannot verified time scale relevant daily travel pattern available data provide necessary temporal resolution work examined human mobility mechanism via comprehensive cell phone position data recorded high frequency every second found next location visited user frequently visited one many case instead individual exhibit origin dependent path preferential pattern short time scale mobility behavior prominent temporal resolution data high thus overlooked previous study incorporating measured quantity high frequency data conventional human mobility model show contradictory statistical result finally revealed individual preferential transition mechanism characterized first order markov process quantitatively reproduce observed travel pattern individual population level relevant time scale | 2 | 1,365,891 | [
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doubled foreignness product probe atomic equality state high density double foreignness production auau collision gevnucleon incident beam vitality studied gross hadron cascade adaptation multi phase angle transport example regain due larger nuclear compression example soft equivalence state eos yield bigger regaining exclusive unfamiliarity dual strangeness sensitiveness bivalent foreignness eos plain larger since phase space statistical dispersion produced summary equate exclusive strangeness larger sensitivity yield ratio eos intemperate ignitor organisation hold liken individual strangeness study product relativistic heavy ion collision provide substitute ongoing heavy ion collision syllabus facility worldwide place eos gamey density relevant investigation phase boundary onslaught deconfinement dense atomic matter | 16 | 803,930 | [
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statistical analysis time trend atmospheric ethane ethane abundant non methane hydrocarbon earth atmosphere important precursor tropospheric ozone various chemical pathway ethane also indirect greenhouse gas global warming potential influencing atmospheric lifetime methane consumption hydroxyl radical oh understanding development trend identifying trend reversal atmospheric ethane therefore crucial dataset consists four series daily ethane column obtained ground based ftir measurement many decadal time series data characterized autocorrelation heteroskedasticity seasonal effect additionally missing observation due instrument failure unfavorable measurement condition common series goal paper therefore analyze trend atmospheric ethane statistical tool correctly address data feature present selected method designed analysis time trend trend reversal consider bootstrap inference broken linear trend smoothly varying nonlinear trend particular broken trend model propose bootstrap method inference break location corresponding change slope smooth trend model construct simultaneous confidence band around nonparametrically estimated trend autoregressive wild bootstrap approach combined seasonal filter able handle issue mentioned | 6 | 1,445,046 | [
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nonmodular architecture cognitive system based active inference psychology neuroscience common describe cognitive system inputoutput device perceptual motor function implemented purely feedforward receptive loop way view sensing action much seen encapsulated module limited interaction embodied enactive approach cognitive science challenge idealisation brain inputoutput gimmick argue even recent effort model system habituate close loop architecture nevertheless heavily rely strong separation motor perceptual occasion previously suggested mainstream notion modularity strongly resonates separation rule control theory work present minimal mannikin sensorimotor eyelet implementing architecture based separation principle link popular formulation perception activeness cognitive science show limitation instance external military group modelled agent force visit variable agent cannot directly control ie perturbation environment interference stimulate agent substitute approach inspired embodied cognitive science propose nonmodular computer architecture free base active inference framework demonstrate robustness architecture unknown external input signal show mechanism achieved linear poser equivalent integral control | 5 | 1,061,070 | [
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role grille qcd search infraction fundamental symmetry signal new physic document serial whitepapers usqcd collaborationism discus opportunity lattice quantum chromodynamics lqcd research frontier profound symmetricalness signal new physic lqcd synergy effective field theory nuclear many body study provides theoretic support ongoing planned experimental program search electric dipole moment nucleon nucleus atom decay proton oscillation neutrinoless twice decay nucleus conversion muon negatron precision measurement watery decay nucleon nucleus precision isotope shift spectroscopy well verbatim dark issue detection experiment using nuclear target whitepaper detail nonsubjective lqcd program area fundamental symmetry within usqcd collaboration identifies priority addressed within next five yr rarify country likely demand high degree innovation numerical analytical frontier lqcd research | 19 | 490,377 | [
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continuum model unfolding von willebrand factor von willebrand factor mechano sensitive protein circulating blood mediates platelet adhesion subendothelial collagen platelet aggregation high shear rate hemostatic function andor thrombogenic effect well susceptibility enzymatic cleavage regulated conformational change collapsed globular state stretched state therefore essential account conformation vwf multimers modeling vwf mediated thrombosis vwf degradation introduce continuum model vwf unfolding developed within framework multi constituent model platelet mediated thrombosis model considers two interconvertible vwf specie corresponding collapsed stretched conformational state vwf unfolding take place via two regime tumbling simple shear strong unfolding flow dominant extensional component two regime demonstrated parallel plate couette flow cross slot extensional geometry vwf unfolding model verified several microfluidic system designed inducing high shear vwf mediated thrombosis screening von willebrand disease model predicted high concentration stretched vwf key region channel occlusive thrombosis observed experimentally strong unfolding caused extensional flow limited center axis middle plane channel whereas vwf unfolding near channel wall relied upon shear tumbling mechanism continuum model vwf unfolding presented work employed modeling vwf mediated thrombosis vwf degradation complex geometry however extending model arbitrary flow turbulent flow pose considerable challenge | 2 | 1,366,752 | [
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] |
signature berezinsky kosterlitz thouless critical behaviour planar antiferromagnet banivo investigate critical property spin honeycomb antiferromagnet banivo ordering temperature using neutron diffraction muon spin rotation measurement result characterize banivo two dimensional antiferromagnet across entire temperature range displaying series crossover ising like xy heisenberg behavior increasing temperature particular extracted critical exponent order parameter reveals narrow temperature regime close system behaves xy antiferromagnet evidence berezinsky kosterlitz thouless behavior driven vortex excitation obtained scaling correlation length experimental result accord classical quantum monte carlo simulation performed microscopic magnetic model hamiltonians banivo | 4 | 1,401,574 | [
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] |
terzetto body hypernuclei pionless effective field theory calculate structure three trunk hypernuclei use pionless effective battlefield hypothesis leading order isospin sphere sphere leash body hypernuclei arise naturally efimov effect three body parameter required leading order apply theory hypertriton suppositious bound do calculate corresponding scaling factor discus constraint existence boundary country particular elucidate universal correlation different observables provide explicit calculation undulation function affair radius | 7 | 1,750,485 | [
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transverse momentum dependent numerousness hadron produced dis compass scope collaborationism evaluate transverse momentum dependent numerosity charged hadron produced deep inelastic scattering orcus unpolarized proton complement previous compass measurement find isoscalar target information gather gev muon beam liquid hydrogen target multiplicity study function square toe hadron transverse momentum respect practical photon direction bin bjorken variable photon virtuality fraction photon energy carried hadron preliminary result analysis perform fraction available data sample distribution shown first time | 17 | 370,631 | [
2,
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crawler two comparison result object reapportionment problem penchant individual peaked object reallocation problem preference stern otherwise unexclusive top trading rhythm rule ttc leading rule rule satisfying efficiency endowment lower bound scheme proofness furthermore ttc coincides core subdomain single peaked preference bade set new rule wiggler also satisfies initiatory three property first theorem re publica crawler naturally defined two fold rule really next object allocation problem define probabilistic version angleworm choosing endowment profile random fit undifferentiated distribution apply original definition second theorem land rule random antecedence formula proved knuth abdulkadiroglu sonmez combining weight core random endowment | 18 | 1,613,532 | [
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13046,
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intermittent percolation scale free distribution vegetation cluster understanding cause effect spatial vegetation pattern fundamental trouble ecology especially used early predictor catastrophic shift desertification process empirical cogitation vegetation cover area drylands semiarid region bring existence vegetation patch broadly diverse size particular probability statistical distribution patch size gibe power law ie vegetation patch approximately scale free maximum sizing unlike explanatory mechanism flora plant interaction plant urine feedback loop proposed rationalize emergence scale costless pattern yet full understanding reached using simple model flora dynamical show environmental temporal variability well recognized feature semiarid environment promotes robust direction ie wide range parametric quantity value emergence vegetation patch broadly diffuse cluster size furthermore result related percolation phenomenon occurs intermittent fluctuate way theoretical account besides reveals power law exponent fitting tail probability distribution depend overall botany cover density agreement empirical observation support idea environmental variability bet key role formation scale free botany pattern practical viewpoint whitethorn importance predict effect change environmental condition may real ecosystem theoretical side subject area shed unexampled light novel type percolation phenomenon occurring temporally varying external condition nevertheless need work fully characterized | 12 | 741,168 | [
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] |
resonance production kev sterile neutrino core collapse supernova lepton number diffusion inquire hypothetical particle sterile neutrino produced interior exploding supernova via evocative conversion novelty treatment trygve halvden lie right account statement resulting lepton turn diffusion compute yield uninventive neutrino find even taking account back reaction sterile neutrino carry sizeable fraction total energy explosion corresponding combat ready neutrino production however exponentially sensitive temperature inner supernova part make robust prediction challenging order understand whether output touch supernova evolution therefore constrained detailed simulation include effect sterile neutrino needed | 7 | 1,652,515 | [
2,
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two neutrino double genus beta decay matrix component based relativistic nuclear energy density functional nuclear matrix constituent nmes two neutrino double genus beta decay studied framework relativistic nuclear energy concentration functional belonging nucleus require decay obtained use relativistic hartree bogoliubov model relevant nuclear transition described using relativistic proton neutron quasiparticle random phase approximation pn reqrpa three effective fundamental interaction apply including density strung meson substitution point coupling fundamental interaction supplemented nuclear pairing correlation ground substance element one half animation calculated respective nuclides experimentally known undergo form decline ca ge se zr mo cd te simulation dependence nmes sensitivity isoscalar pairing strength investigate optimized value parameter determine consequence present study represent important benchmark future application relativistic fabric subject area neutrinoless double beta decay | 14 | 919,080 | [
2,
312,
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] |
factor bound electron test physic beyond standard model use high precision measurement factor electron ion isotope shift put forward probe physic beyond standard model contribution hypothetical fifth fundamental force factor calculated ground state like li like like ion employed derive bound parameter force weighted difference especially isotope shift factor used order increase experimental sensitivity new physic contribution found combining measurement four different isotope like li like like calcium ion currently accessible accuracy level experimental result compatible king planarity would constrain new physic coupling constant one order magnitude best current atomic data | 2 | 1,510,808 | [
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conditional independence test causality econometrics test utilitarian peter detecting missing confounders context multivariate regressionhowever seldom used practice since requires identifying multiple conditionally independent tool often unimaginable propose heuristic test relaxes independence requirement display apply heuristic test term requirement business firm loan productivity trouble reason test informative variable linearly related gaussian additive stochasticity lead astray context use still believe test useful concept falsifying propose control condition set | 18 | 1,627,466 | [
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neutron star secret life quark discovery non diffuse seed gravitational wave covenant object merger open new prospect bailiwick physic beyond stock model letter consider implication observation gw require coalescence black muddle compact aim may massive neutron star given current knowledge nuclear topic equation state weigh opening raw force quark suggested context modifies neutron star equation state specially supranuclear density evaluate modification impingement neutron superstar deal radius make observed heavy compact object likely neutron star sort black golf hole advise object may retrieve note terrestrial astrophysical measurement could reassert picture | 14 | 970,178 | [
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beyond stock model explanation gw ligovirgo quislingism recently announced sensing heavy binary bootleg hole merger component great unwashed cannot explained standard stellar structure theory letter propose respective explanation ground model young physic including new lightsome particle loss modified gravity gravid special dimension small magnetic moment neutrino touch physic pair instability otherwise leading novel mechanism forming black hole inside black hole mountain gap | 11 | 215,252 | [
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characterizing process site actinide yield variation elemental abundance pattern star enhanced process factor magnetic declination relative actinoid lanthanide ratio among significant investigate source actinide difference rescript determine whether sport due born remainder astrophysical site referable incertain atomic property accessed process website find variation relative prima actinide abundance probable astrophysical nature owing neutron rich ejecta outgrowth event may furthermore process site capable generating variation neutron richness exhaust corporeal one type cognitive process land site needed explain level discovered relative actinoid enhancement | 14 | 957,643 | [
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shell yang mill amplitude chy formalism august mobius invariance use concept gluon tree amplitude cachazo yuan chy formalism equally effective steering construction carapace tree bountifulness matrix chy theory used replace lagrangian yang mill theory process investigating hypothesis find chy formula modified obtain mobius invariant shell amplitude unfortunately modify bountifulness yang john stuart mill amplitude lack gauge invariance completing amplitude must tote restore gauge invariance mental synthesis swear lagrangian mobius invariance although neither full gauge invariant partially gauge invariant sense explained partial gauge invariance turn useful checking calculation feynman amplitude split sum also stop term | 9 | 1,692,328 | [
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comprehensive review various state art technique eye blink detection computer vision considered one important area research focused developing many application proved useful research societal benefit today witnessing many road mishap happening lack concentration drivingas part avoiding kind disaster happening day day life many technology focusing keeping track vehicle driver concentrationone technology us method eye blink detection find concentration level driverwith advent many high end camera device cost effectiveness factor today become efficient cheaper use eye blink detection keeping track concentration level driverhence paper present exhaustive review implementation various eye blink detection algorithmsthe detection system also extended application various field like drowsiness detection fatigue detection expression detection | 0 | 56,010 | [
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3
] | [
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1,
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thermal coupled cluster theory su system coupled cluster cc established powerful theory study correlated quantum many body system finite temperature generalization cc theory attracted considerable interest shown work well ground sate theory however recent development address fermionic bosonic system distinct structure algebra requires development similar thermal cc theory spin degree freedom paper provide formulation thermofield inspired thermal cc su system apply thermal cc lipkin meshkov glick system well one dimensional transverse field ising model benchmark application highlight accuracy thermal cc study finite temperature phase diagram su system | 2 | 1,447,108 | [
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optically pumped light speed magnetometer enable high sensitivity search neutron electric dipole moment raiment optical maser pumped scalar magnetometer part neutron galvanic dipole moment nedm experiment taking data point nonsuch paul scherrer institute deployed measure gradient experiment magnetic athletic field monitoring device temporal phylogeny originality lay lie compact design undivided penny pinching infrared diode laser cause magnetometer position gamy vacuum chamber filling sensing element ride high voltage electrode describe detail snow sensor construction mode operation emphasizing accuracy sensitivity magnetic field readout present two application magnetometer array like iridescent beneficial nedm experiment carrying strategy correct movement vertical mesmerise field gradient two unconscious process homogenize magnetic melodic line business firstly reduces uncertainty new nedm result enables transverse neutron spin relaxation clock time exceeding improve statistical sensitiveness nedm experiment effect increase charge per unit nedm data get hold factor | 16 | 880,746 | [
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voltage gated inter cation selective ion channel graphene nanopores ability selectively control ionic flux biological protein ion channel perform fundamental role many physiological process practical application require functionality biological ion channel graphene provides promising solid state alternative due atomic thinness mechanical strength demonstrate nanopores introduced graphene membrane large nm diameter exhibit inter cation selectivity x preference divalent cation modulated applied gate voltage liquid atomic force microscopy graphene device reveals surface nanobubbles near pore responsible observed selective behavior molecular dynamic simulation indicate translocation ion across pore likely occurs via thin water layer edge pore nanobubble result demonstrate significant improvement inter cation selectivity displayed solid state nanopore device utilizing pore de wetted state offer approach fabricating selective graphene membrane rely fabrication sub nm pore | 4 | 1,516,670 | [
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coherent pliant atomic disperse atomic number neutrino search new physic coherent elastic neutrino nucleus disperse require precise noesis neutrino flux vigour spectrum paper investigate feasibility carrying experimentation establish cr rootage whose neutrino spectrum known whose activity heating supervise permil stage mci source placed cm detector exposure two cr half life day evaluate count cm target germanium sky blue featuring doe threshold ev increment exposure multiple activation source could possible | 17 | 380,890 | [
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probing cp violation photon ego interaction cavity paper subject field cp violation photon self interaction low free energy interaction mediated efficient operator threefold electromagnetic field strength yet direct examine experimentally potential source fundamental interaction weakly coupled light scalar scalar pseudoscalar pair photon instance complex higgs portal scalar relaxion new light fermion coupled photon via dipole operator propose method isolate cp violating contribution photon ego interaction habituate superconducting radio oftenness cavity vacuity birefringence experiment addition consider several theoretic experimental indirect bound scale new physic relate effective operator present projection sensitiveness proposed experiment scale well discus implication apprenticed cp violating mate newfangled scant particle twin photon | 17 | 323,018 | [
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big data based method pa pace optimization math university lower division row paper algorithm design large database introduced enhancement pa rate numerical university lower division track respective section using integer programing technique algorithm find optimum pairing student reader order maximize winner chance student organic structure student lecturer success probability computed consort corresponding profile stored data point pedestal | 15 | 1,186,000 | [
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hadronic atom cardinal revealing closed book whose mass coincides threshold extended hadron object since discovery debate never stop regarding internal structure purpose new object atom composite system rule irrefutable billing parity deal mev formed chiefly due coulomb military group show void signal atom used put low limit binding energy current noesis holding output charge per unit atom relative decay hadron collider least raw insight obtained studying atom | 17 | 374,730 | [
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mobility price degenerated dissemination kinesis good example young decisive effect predicted population dispersal free base fact swap advantage mobility cost mobility break substantial deterioration living condition recently develop model purposeful kinesis gorban ccabukovglu ecological complexness based let well enough alone musical theme mobility decrease high reproduction coefficient therefore animal stay longer good condition leave quicker bad condition mobility cost measured change replica coefficient introduction toll mobility reproduction coefficient lead equating mobility solved closed cast using lambert function surprisingly let advantageously enough alone manakin simple elongate price mobility intrinsic phase transition precondition exacerbate mobility increase critical value reproduction coefficient worse condition result mobility interpret critical effect complete departure mobility retrogression diffusion qualitatively mean mobility increase worsening condition limit mobility nullified | 5 | 1,039,924 | [
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muon ion collider bnl future qcd frontier path new energy frontier collider propose development construction novel muon ion collider muic brookhaven national research lab bnl usa upgrade succeed electron ion collider eic scheduled commence early joint elbow grease nuclear particle physic biotic community bnl facility could accommodate muon storage beam vigour tev existing magnet technology collided gev hadron beam muic center tidy sum energy tev extend kinematic coverage deep inelastic scattering physic eic polarized beam order order magnitude opening new qcd frontier address many fundamental scientific question nuclear particle physic coverage comparable proposed large hadron electron collider lhec cern complementary lepton hadron kinematics beam polarization additionally developmentof muic bnl focus worldwide rd cause muon collider technology help demonstrator toward future negative muon antimuon collider tev energy attractive option reach next high energy frontier particle physic low priced cost smaller footprint future circular hadron collider saucer possible design parameter muic kinematic coverage science sheath detector design consideration including estimate resolution dis kinematic variable possible road map toward future muic muon antimuon collider also face | 14 | 972,112 | [
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reduction qubits quantum algorithm monte carlo simulation pseud random number generator known quantum computer speed monte carlo simulation compare classical counterpart already proposal application quantum algorithm practical problem including quantitative finance many problem finance monte carlo simulation applied many random number ask obtain one sample distribution note value integrand since problem highly high dimensional integration example risk measure credit portfolio lead place required qubit number large naive implementation quantum cash register allocated per random number paper point reduce qubits go along quantum upper perform calculation similar graeco roman one estimate average integrand value sampled pseudo random figure source prng implemented quantum circuit present overview approximation also concrete execution prng application credit risk measurement actually reduction qubits trade increase circuit depth thus good diminution might impractical barter upper memory space important adjustment calculation setting considering machine spec large scale monte carlo simulation quantum computer operation future tense | 13 | 1,216,611 | [
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spin chain existent clip thermal field theory using tensor network one interesting direction theoretical mellow department energy condensed matter physic understanding dynamical property collective state quantum battlefield theory elementary shaft quest retarded equilibrium correlators governing analogue response theory article examine tensor electronic network agency determining fully ab initio way class dimensional quantum field theory arising infrared description quantum ising chainswe appearance complemented signal analysis using prony method acting tensor web calculation intermediate meter provide hefty way explore structure uniqueness correlator complex relative frequency plane make foretelling thermic response perturbation class nonintegrable interact quantum plain theory | 9 | 1,801,826 | [
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statistically substantial observation crossing section young atomic response distribution channel astronomical unit leaping dineutron escape new nuclear reaction communication channel au neutron projectile bound dineutron production duct regard establish available datum base notice dineutron get form subatomic particle satellite william tell volume potential well au nucleus dineutron identified statistically significant radiation espial referable decay gau nucleus hybrid part au nn gau reaction watch microbarns microbarns mev energy range correspondingly potential outcome dineutron stag near aerofoil deform nucleus likewise climb discussed | 16 | 845,794 | [
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young bringing close together photon geodesic schwarzschild spacetime research note introduce raw idea photon geodesic schwarzschild spacetime especially useful describe extremely bent flight angle initial emission position line sight observer approach corresponds point behind central mass schwarzschild metric regard observer approximation maintains honest accuracy overall divagation exact mathematical result innermost stable circular orbit isco settle | 11 | 243,284 | [
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yannelis prabhakar theorem upper rig continuous selection paracompact space extension application paper yannelis prabhakar rely michael survival theorem guarantee continuous selection context existence maximum element sense equilibrium abstract economy tribute nicholas yannelis root paper chapter ii yannelis rochester phd thesis key pioneering application paracompactness condition current ongoing work yannelis co author numerical political economy broadly speaking locomote beyond lit furnish necessary sufficient condition upper semi uninterrupted local global survival symmetricalness allow application five domain yannelis interest berges maximum theorem gale nikaido debreu lemma gale mckenzie survival assumption shafers non transitive setting anderson khan rashid approximate existence theorem last resonates chapter sixer yannelis dissertation | 18 | 1,615,208 | [
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restraint phase transition multimessenger data neutron star equation state eos neutron star matter remain enigma study perform bayesian parameter inference gravitational wave data gw mass wheel spoke observation atomic number psr psr use phenomenologically constructed eos model search potential first time order phase passage phenomenological eos model take advantage current wide used parametrizing method flexile enough resemble diverse theoretic eos model receive current observation data still informative enough supportrule form changeover due comparable evidence model without form transition withal bulk property canonic pressure close well cumber datum nuclear saturation density furthermore strong phase transition humiliated denseness disfavored humble bound transition density constrained | 11 | 214,498 | [
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time aware gate recurrent unit mesh road surface friction prediction using historical data accurate road airfoil friction prevision algorithmic program enable intelligent transportation system share timely route surface condition public increase safety road user previously scholar developed multiple prediction simulation forecasting road surface condition using historical data however road surface condition data point cannot perfectly collected every timestamp eg data collected vehicle sensor may influenced vehicle cannot travel due economic cost topic weather issue resulted miss economic value collected data damage effectiveness accuracy existing prediction method since take stimulation data point fixed temporal resolution study proposed road surface friction prediction model hire gate recurrent unit network based decay mechanic gru handgrip missing time value rating result present proposed gru network outperform baseline model impact lack rate predictive accuracy learning efficiency learned decay rate break well finding help improve forecasting accuracy efficiency forecasting route surface friction using historical data set pretermit value therefore mitigating impact wet icy road condition traffic safety | 3 | 136,819 | [
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electrically controlled localized charge trapping amorphous fluoropolymer electrolyte interface charge trapping long standing problem electrowetting dielectric ewod causing reliability reduction restricting practical application although phenomenon investigated macroscopically microscopic investigation still lacking work trapped charge proven localized three phase contact line region using three detecting method local contact angle measurement electrowetting ew probe kelvin probe force microscopy kpfm moreover demonstrate ew induced charge trapping phenomenon utilized simple low cost method deposit charge fluoropolymer surface charge density near three phase contact line mcm line width deposited charge ranging micrometer achieved proposed method particularly negative charge density degrade even harsh testing water droplet top sample surface hour well treated water vapor hour finding provide approach application desire stable controllable surface charge | 2 | 1,531,197 | [
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ultradiscrete bifurcation one dimensional dynamic system bifurcation one dimensional dynamical system discourse free base ultradiscrete equation ultradiscrete equation derived normal shape one dimensional nonlinear differential equation bicycle seat node transcritical supercritical pitchfork bifurcation additional bifurcation similar pas bifurcation found ultradiscrete equation supercritical pitchfork bifurcation dynamical property ultradiscrete bifurcation qualify graphical analysis example application discourse focus ultradiscrete equality fitzhugh nagumo exemplar discus dynamical dimension | 8 | 699,589 | [
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hydrodynamic result multiplicity wavering ponderous ion collision numerousness fluctuation one essential observables beam vigor scan programme relativistic heavy ion collider understood utilized probe whereabouts critical period phase diagram qcd matter however significant portion fluctuation asunder related qcd form transition attributed origin refer noncritical one present tense study commit uncritical aspect numerosity fluctuation heavy ion collision special focus dynamic origin hydrodynamic expanding upon system case result initial fluctuation addition usual caloric fluctuation finite bulk correction resonance radioactive decay freeze surface obtained event compared hadronic plangency gas model advantageously experimental data | 14 | 961,109 | [
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csmcnet scalable video compressive sensing reconstruction interpretable motion estimation deep network method compressive sensing reconstruction suffer black box characteristic dnn paper deep neural network interpretable motion estimation named csmcnet proposed network able realize high quality reconstruction video compressive sensing unfolding iterative step optimization based algorithm dnn based multi hypothesis motion estimation module designed improve reconstruction quality residual module employed narrow gap construction result original signal proposed method besides propose interpolation module corresponding training strategy realize scalable c reconstruction capable using model decode various compression ratio experiment show psnr db achieved c ratio compressed superior state art method moreover interpolation module proved effective significant cost saving acceptable performance loss | 3 | 185,896 | [
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examine gamy momentum proton via reaction data based hybridisation part chemical reaction miss momentum gev gev reported data compare relativistic falsify wave impulse approximationrdwia calculation channel importantly event triton tidy sum region ass gev promise theoretical mannikin suggesting impression initial state multi nucleon correlational statistic stronger expected rdwia modelling | 16 | 868,437 | [
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implied sharpe ratio uncomplete market including liquidly traded european choice investment portfolio could potentially improve expected terminal service program danger averse investor however unlike sharpe ratio provides concise bill comparative investiture attractiveness unlike underlie risky asset measure uncommitted help investor choose among dissimilar european option inclose new concept imply sharpe ratio allows investor build comparison uncomplete financial market specifically comparing various european option pick highest implied sharpe ratio included investor portfolio improve expected utility method taylor series expansion state dependent coefficient nonlinear fond differential equation also give behaviour implied sharpe ratio respect investor risk aversion parameter series numerical study compare investing attractiveness different european alternative studying implied sharpe ratio | 15 | 1,117,365 | [
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] |
data oriented wireless transmission effective qos provision future wireless system future wireless system need support diverse big data internet thing iot application dramatically different quality service qos requirement novel design across protocol stack required achieve effective efficient qos provision article introduce novel data oriented approach design analysis advanced wireless transmission technology unlike conventional channel oriented approach propose optimally design transmission strategy individual data transmission session considering qos requirement instantaneous operating environment resulting design effectively satisfy highly stringent performance efficiency requirement future application | 3 | 131,022 | [
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search resonant production proton proton collision tev search heavy resonance decompose top quark antiquark pair using proton proton collision tev explore america datum set collected cm detector corresponds integrated luminosity fb analytic thinking considers deuce ace exclusive net country u reconstruction technique optimize top quark cheese high lorentz hike take use nonisolated lepton jet substructure technique significant excess upshot relative expected yield standard model process observed upper limit output cross section heavy plangency decaying duad calculated demarcation derived leptophobic topcolor vibrancy width relative peck plangency exclude mass tev respectively kaluza klein excitation gluon randall sundrum model excluded tev date stringent boundary resonance | 17 | 383,353 | [
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new geiger nuttall legal philosophy two proton radiation present work combining geiger nuttall law two parametric quantity empirical formula proposed field two proton radiation use formula calculated radioactivity half life sound agreement observational data well bet one obtained goncalves et al phys lett using effective liquid drop model eldm sreeja et al eur phys using four parameter empiric formula cui et atomic number phys rev apply generalized limpid pearl fashion model gldm addition two parametric quantity empiric formula extended predict half life possible radioactivity candidate whose radioactivity released energy qp obtained latest evaluated atomic deal table ame predicted solvent serious consistency one using theoretic fashion model eldm gldm four parameter empiric pattern | 14 | 968,111 | [
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entropy dynamic phonon quantum state generated optical excitation two level system quantum physic two prototypical model system stand due wide range application two level system tl harmonic oscillator former often ideal model confined charge spin system latter lattice vibration ie phonons couple two system lead numerous fascinating physical phenomenon practically consider different optical excitation decay scenario tl focusing generated dynamic single phonon mode couple tl special emphasis placed entropy different part system predominantly phonons without decay entire system always pure state resulting vanishing entropy complex interplay single part result non vanishing respective entanglement entropy non trivial dynamic taking decay tl account lead non vanishing entropy full system additional aspect dynamic demonstrate aspect entropy behavior traced back purity state illustrated phonon wigner function phase space | 13 | 1,217,760 | [
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towards reliable uav enabled positioning mountainous environment system design preliminary result true emplacement service extremely important user twist mountainous environment enables variety location based application however surround service reliability conventional wireless positioning technology often disappointing frequent non line sight nlos propagation poor geometry available anchor node two significant challenge due high maneuverability flexile deployment remote controlled aerial vehicle uavs uav enable positioning could promising solution challenge compared satellite terrestrial base station uavs capable flying place propagation experimental condition geometry favorable positioning eventual aim research task design refreshing uav enabled positioning system u low altitude uav political program provide highly reliable service ground user mountainous environment article introduce recent progress make first phase projection including follow first structure proposed system positioning method used determined comprehensive consideration various factor utilizing digital elevation model realistic terrain establish geometry based nlos probability model nlos propagation treated type geological fault reliability analysis significantly reliability prediction method acting corresponding metric developed evaluate system power provide reliable positioning religious service end clause also propose voting based method improving robert william service reliability numerical result present tremendous potential difference proposed system reliable positioning | 3 | 126,515 | [
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soliton wave transubstantiation kdv beefburger layered medium study behavior soliton affect non dissipative mass medium encounter barrier dissipation modelling included case finite dissipative layer substantially brandish slip away dissipative layer non dissipative nonpareil frailty versa new effect presented shell numerically finite barrier solitary wave path first form dissolution distribution human body frozen solitary wave wave flip dissipative barrier get bi soliton reflection wave arises comparatively small quasi harmonic cycle second dissipation minus waving instead loosing energy department pumped passed wave soliton neat amplitude speed third travel wave solution kdv beefburger shock wave dissipative realm enters non dissipative bed shock transforms quasi harmonic oscillation known kdv | 12 | 715,008 | [
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lopsidedness elliptic flow distribution tev pbpb hit hydjet model elliptic flow event effect fluctuation pbpb collision tev analyzed within hydjet model use multi subatomic particle called cumulant method calculated practice study proportion construct skewness measure dissymmetry elliptic period distribution additionally order check hydrokinetics nature elliptic collectivity bring forth hydjet model ratio distribution calculated analysis performed function hit centrality order check hydjet model reaction result depth psychology compared corresponding observational measure cm good qualitative sooner good quantitative arrangement found | 7 | 1,646,288 | [
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ricci subtraction cosmological coleman weinberg potential reconsider fine tuning problem scalar driven inflation arising need couple inflaton ordinary affair order cause reheating efficient quantum fluctuation topic induce coleman steven weinberg correction inflaton potential depending de sitter background complex way ratio inflaton hubble parameter correction max planck suppressed cannot entirely subtracted even local general geometry previous subject showed satisfactory subtract local function inflaton initial hubble parametric quantity newspaper probe allowed hypothesis subtracting local mapping inflaton ricci scalar job case new scalar degree freedom induced minus cause rising price end almost instantly | 11 | 245,111 | [
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self tending based bilstm cnn classifier foretelling ischemic non ischaemic cardiomyopathy heart failure major component healthcare spending leading drive mortality worldwide despite higher inter rater unevenness endomyocardial biopsy emb still regarded criterion technique use identify cause eg ischemic non ischemic cardiomyopathy coronary arteria disease myocardial infarct etc unexplained heart failure theme focus identifying cardiomyopathy ischaemic non ischaemic propose implement new unified architecture comprising cnn inception model bidirectional lstm bilstm self attention mechanism predict ischaemic non ischemic classify myocardiopathy using histopathological mental image project model based self attention implicitly focus information output hidden level bilstm result demonstrate framework carry high encyclopedism capability able improve classification performance | 3 | 149,253 | [
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infinite dimensional stochastic differential equation tail field present general theorem solving long standing problem existence pathwise uniqueness strong solution infinite dimensional stochastic differential equation isdes called interacting brownian motion isdes describe dynamic infinite many brownian particle moving free potential mutual interaction potential apply theorem essentially interaction potential ruelles class lennard jones potential riesz potential logarithmic potential appearing random matrix theory solve isdes ginibre interacting brownian motion sine interacting brownian motion also use theorem separate paper airy bessel interacting brownian motion one critical point proving general theorem establish new formulation solution isdes term tail field labeled path space consisting trajectory infinitely many particle formulation equivalent original notion solution isdes feasible treat infinite dimension | 1 | 512,492 | [
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axion like particle cycle draw theory compactifications may generate large number light axion like particle alp whose sapless coupling electromagnetics could experimentally observable general large number alp may running combining potentially observable coupling electromagnetism basis one alp brace electromagnetics oecumenical misaligned mass basis lead mix electromagnetic alp number obscure alp interact directly photon appendage analagous neutrino oscillation discus phenomenological outcome mixing particular screening whitethorn significantly cut predicted signal experiment cast | 7 | 1,715,063 | [
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bytesteady fast classification using byte level gram embeddings article introduces bytesteady fast model classification using byte level gram embeddings bytesteady assumes input come sequence byte representation vector produced using averaged embedding vector byte level gram pre defined set hashing trick used reduce number embedding vector input representation vector fed linear classifier straightforward application bytesteady text classification also apply bytesteady one type non language data dna sequence gene classification problem achieved competitive classification result strong baseline suggesting bytesteady applied language non language data furthermore find simple compression using huffman coding significantly impact result offer accuracy speed trade previously unexplored machine learning | 0 | 89,370 | [
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stellate lattice quantisation field theory quantum reference classical finite element referred quantum finite element bf qfecitebrowerszubrowervsl implement radial quantization theory simplicial lattice multiply explicit counter term cancel one two loop ultraviolet defect implemented reach quantum continuum possibility using brower tamayocitebrowermt cluster three card monte carlo algorithm numerical final result documentation qfe ansatz critical conformal field theory cft reached continuum full isometry restored ricci curvature term technically irrelevant quantum possibility express dramatically improve convergence opening way high precision three card monte carlo simulation determine cft information hustler dimension trilinear ope pair central charge | 19 | 479,541 | [
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radial single point rupture solution general mem model study initial value problem begincases gamma leftralphaubeta urightfracfu textrmfor textrmfor alphabetageq fin cbar ucap cbar uffu bar ufuucdotauaaato particular result yield uniqueness radial single point rupture solution qualitative property mem model bifurcation diagram also investigated | 1 | 584,917 | [
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hierarchical financial structure money cascade paper show similarity turbulence financial system motivated similarity two system construct multiscale model hierarchical financial structure exhibit constant cascade wealth large financial entity small financial entity according model large intermediate scale financial institution power law distribution however wealth distribution maxwellian individual scale | 4 | 1,444,572 | [
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minimax efficient finite difference stochastic gradient estimator using black box function evaluation standard approach stochastic gradient estimation noisy black box function evaluation use finite difference method variant natural open knowledge whether statistical accuracy best possible paper argues showing central finite difference nearly minimax optimal zeroth order gradient estimator suitable class objective function mean squared risk among class linear estimator much larger class nonlinear estimator | 1 | 504,965 | [
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proposal validation monte carlo implementation standard model effective field theory propose procedure cross validate monte carlo implementation standard model effective field theory based numerical comparison squared amplitude computed specific phase space parameter point pair implementation interaction fully linearised effective field theory expansion square linear effective field theory amplitude interference standard model contribution compared separately pairwise comparison primarily performed tree level possible extension one loop level also briefly considered list current standard model effective field theory implementation comparison performed date | 17 | 378,050 | [
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holographical bcft dirichlet boundary condition neumann boundary term play important use initial proposal holographic dual boundary conformal theater theory yield many interesting effect passed several non trivial test paper show dirichlet boundary condition study well neumann boundary condition illustration includes ad solution obeys theorem furthermore bring correct expression one point map boundary weyl anomaly universal relation likewise study comparative boundary condition gauge field counterpart dirichlet boundary condition gravitational field interestingly four dimensional reissner nordstrom grim hole magnetic commission exact solution comparative boundary condition condition holographic model predicts incessant charismatic field bulk induce invariant current boundary threesome dimension suggest measure interesting boundary current material graphene | 11 | 294,691 | [
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intolerable lightness equilibrium low sake rate environment structural model solution tongue tied multiple solution incomplete show model occasionally binding constraint generically coherent coherency requires confinement parametric quantity backup distribution shock restriction rarely explicitly acknowledged imposed literature model whose coherency base financial backing limitation generically uncomplete take large number minimum state variable resolution distinct solution due indeterminacy model without good lower bound constraint | 18 | 1,615,708 | [
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seqnet learning descriptor sequence based hierarchical place recognition visual place recognition vpr task matching current visual imagery camera image stored reference map environment initial vpr system used simple direct image method hand crafted visual feature recent work focused learning powerful visual feature improving performance either form sequential matcher filter hierarchical matching process case performance initial single image based system still far perfect putting significant pressure sequence matching case hierarchical system pose refinement stage paper present novel hybrid system creates high performance initial match hypothesis generator using short learnt sequential descriptor enable selective control sequential score aggregation using single image learnt descriptor sequential descriptor generated using temporal convolutional network dubbed seqnet encoding short image sequence using convolution matched corresponding temporal descriptor reference dataset provide ordered list place match hypothesis perform selective sequential score aggregation using shortlisted single image learnt descriptor separate pipeline produce overall place match hypothesis comprehensive experiment challenging benchmark datasets demonstrate proposed method outperforming recent state art method using amount sequential information source code supplementary material found | 0 | 79,766 | [
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atomic structure carrefour steven weinberg seminal paper initiated use effective field theory eft nucleus summarize progress precedence open question atomic eft development base int programme nuclear structure intersection | 14 | 931,725 | [
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core intermittent upwelling upshot plankton bloom marine environment biological unconscious process powerfully affected oceanic current particularly eddy vortex formed hydrodynamic flow field use kinematic flow field coupled population dynamical model plankton growth study impact intermittent upwelling alimental triggering harmful algal flush habs though widely believed additional nutrient encouragement formation habs algal blossom oecumenical display response plankton nutrient plume depends crucially mesoscale hydrodynamic stream body structure general food either quickly wash observation area captured vortex flow occurrence either scenario depends relation time scale vortex formation nutrient upwelling well time inst upwelling pulse happen long last place show two scenario solvent different response plankton dynamic urinate hard predict whether nutrient upwelling lead hab explains observational data point sometimes inconclusive establishing correlation upwelling effect plankton bloom | 5 | 1,016,799 | [
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scalable normalizing flow permutation invariant density modeling set important problem machine learning since type data found many domain promising approach defines family permutation invariant density continuous normalizing flow allows u maximize likelihood directly sample new realization ease work demonstrate calculating trace crucial step method raise issue occur training inference limiting practicality propose alternative way defining permutation equivariant transformation give closed form trace lead improvement training also better final performance demonstrate benefit approach point process general set modeling | 6 | 1,469,301 | [
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phonon liaise high voltage detector background rejection low mass dark matter nuclear reactor coherent neutrino dust experiment report first demonstration phonon mediated silicon detector technology provide elemental phonon measurement grim voltage region simultaneous indirect mensuration ionization signal neganov trofimov luke amplification high potential drop area monolithic crystal present personation charge phonon transport two stage detector leave background secernment potentiality modest energy new detector technology potency significantly enhance sensitivity dark matter coherent neutrino scattering experiment beyond capability current technology limited secernment gloomy energy | 17 | 302,455 | [
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subset sum completeness coloring develop novel technique allow u prove diverse range result relating subset sum complete sequence positive integer including solution several longstanding open problem include solution three problem burr erdhos ramsey complete sequence erdhos later offered combined total nn cannot written monochromatic sum exact determination extremal function introduced erdhos graham set integer avoiding given subset sum answering question reiterated several author homogeneous strengthening seminal result szemeredi vu long arithmetic progression subset sum | 1 | 532,060 | [
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trouble personal income tax taxation contemporary gombe state study examined problem personal income tax revenue generation gombe state methodology used datum collection sketch utilized elementary secondary type data goal directed sampling technique adopted selecting sample respondent employee body politic display panel intragroup revenue service tax remunerator state qi square statistic test used try hypothesis subject area find tax avoidanceevasion complete absence selective information applied science serious problem affecting revenue generation state advocate authority device strict measure dealing penalise individual engage revenue enhancement avoidance nonpayment also employ habit information technology mean job experience personal income tax collection slim drastically | 15 | 1,117,927 | [
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linear map minimal free resolution stanley reisner ring short note give elementary description linear part minimal free resolution stanley reisner ring simplicial complex indeed differential linear part simply compilation restriction map simplicial cohomology induced subcomplexes along way also show monomial ideal least one generator degree linear strand minimal free resolution written using coefficient | 1 | 554,360 | [
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nonlinear matter term general scalar tensor braneworld cosmogony five dimensional braneworld cosmological simulation oecumenical scalar tensor action comprises assorted horndeski lagrangian believe friedmann equation shell strongly weakly pair horndeski lagrangian obtained strongly coupled model produce cardassian term served alternative account accelerated expansion phase world moreover latest combined data based fact bao cosmic background radiation snia value observation suggest full term lie quite close forced value hand weakly coupled case respective new discipline term omitted braneworld einstein hilbert good example eg cubic dark radiation syndrome matter interaction term moreover model provide cosmological constant constructed bulk scalar field ask brane stress support boastful bang nucleosynthesis bbn constraint naturally | 11 | 259,662 | [
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behavior turgid time infinite chain harmonic oscillator defect innumerous unpredictable harmonic chain particle take assume particle defect chain mass force constant interaction different quite little interaction constant subatomic particle field cauchy problem model master goal field long time behavior derive dispersive saltation solution energy weighted norm | 8 | 665,393 | [
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step contaminant originating elementary beam improving beam plug gari ii two independent light beam stopper evolve ameliorate beam separation gas filled recoil ion separator gari ii operation rating supplemental beam showstopper performed utilise pb onth reaction fold enhancement signal noise ratio gari ii focal plane observed | 16 | 873,828 | [
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find fractional chern insulator optical fretwork quantized displacement realization interacting topological state matter fractional chern insulator fcis cold atom system recently come within experimental reach due engineering science optical lattice synthetic gauge field providing required topological band structure however detecting occurrence might prove difficult since raptus measurement consanguine strong state department system take exception perform cold atom frame choice found display fci country realized lowest dance band harper hofstadter model interact boson confined harmonic trapping likely fractionally quantized hall conductivity accurately determined displacement atomic cloud action never ending force provide suitable experimentally measurable signal detecting topological nature state using matrix product state algorithm show piston chamber square geometry movement atom cloud time application constant force field honor top confining possible proportional carry range field forcefulness | 13 | 1,229,228 | [
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euler reflection formula infinite product formula correspondence principle quantum mechanic generalize derivation wallis formula variational computation spectrum hydrogen atom obtain infinite product formula certain combination gamma function include irrational number well nested radical also derive euler reflection formula reciprocal positive even integer show bohr correspondence principle allows u derive product formula reflection formula without need limit definition gamma function | 8 | 670,934 | [
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infinitary cube shuffle paper formalize sense higher homotopy group infinitely commutative particular simplify extend highly technical procedure due eda kawamura constructing homotopies isotopically rearrange infinite configuration disjoint cube within unit cube | 1 | 576,885 | [
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hadronic contribution running electromagnetic coupling electroweak mixing angle electromagnetic coupling electroweak immix angle parameter standard model sm enter preciseness m test gambol fundamental role beyond sm physic search value energy dependent non perturbative hadronic contribution independent source uncertainty theoretical knowledge run energy present lattice study leading hadronic contribution running former related hadronic vacancy polarisation hvp function electromagnetic current latter hvp mixing electromagnetic current vector contribution weak inert current use time impulse representation tmr method compute hvp lattice estimating connected disconnected contribution non perturbatively improved wilson fermion corp de ballet coordinated lattice simulation atomic number initiative use unlike fretwork spacing quark mass provide reliably extrapolate effect physical pointedness | 19 | 471,426 | [
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precipitation nowcasting satellite imagery precipitation nowcasting short range forecast rainsnow hour often displayed top geographical map weather service modern precipitation nowcasting algorithm rely extrapolation observation ground based radar via optical flow technique neural network model dependent radar typical nowcasting limited region around location developed method precipitation nowcasting based geostationary satellite imagery incorporated resulting data yandexweather precipitation map including alerting service push notification product yandex ecosystem thus expanding coverage paving way truly global nowcasting service | 0 | 2,792 | [
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probing bulk viscosity relativistic flow derive analytical connection kinetic relaxation rate bulk viscosity relativistic fluid spatial dimension way ultra relativistic near non relativistic regime derivation based chapman enskog asymptotic expansion grad method moment validate theoretical result benchmark flow providing evidence correctness chapman enskog approach define range validity approach provide evidence mounting departure increasing knudsen number finally present numerical simulation transport process quark gluon plasma special focus effect bulk viscosity might prove amenable future experimental verification | 2 | 1,328,969 | [
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x ray analysis sd obscured quasar outflow peak galaxy formation epoch report deep xmm newton nustar observation high redshift extremely red quasar erq sd known galactic ionized outflow detected via spatially resolved oiii emission line ray observation allow u directly probe accretion disk luminosity geometry scale circumnuclear obscuration fit spectrum xmm newtonepic nustar detector physically motivated torus model constrain source exhibit near compton thick column density near edge geometry line sight inclination angle scattering fraction absorption corrected intrinsic kev ray luminosity reveals powerful quasar intrinsically ray weak consistent observed trend erqs also estimate physical property obscuration although highly uncertain warm ionized scattering density obscuration mass previously suggested shallower ray observation optical infrared selection erq proved effective finding obscured quasar powerful outflow signature observation provide depth view ray property erqs support conclusion severely photon limited study obscured quasar population high redshift | 10 | 1,378,162 | [
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sobolev space multi fateful hole initial data article introduce weighted sobolev place good suited treat initial data multiple black hole organization prove general result ovoid hustler space give simple validation existence class initial data describing many extremal black hole | 11 | 220,762 | [
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description spreading dynamic microscopic network model macroscopic branching process differ due coalescence spreading process conventionally monitored macroscopic level counting number incidence time spreading process modeled either microscopic level assuming underlying interaction network directly macroscopic level assuming microscopic contribution negligible macroscopic characteristic description commonly assumed identical work show characteristic microscopic macroscopic description different due coalescence ie node activated time multiple source particular consider microscopic branching network probabilistic cellular automaton annealed connectivity disorder record macroscopic activity approximate activity macroscopic branching process framework analytically calculate effect coalescence collective dynamic show coalescence lead universal non linear scaling function conditional expectation value successive network activity allows u quantify difference microscopic model parameter established macroscopic estimate overcome difference propose non linear estimator correctly infers model branching parameter system size | 2 | 1,332,432 | [
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