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over the last twenty five years, advances in the collection and analysis of fmri data have enabled new insights into the brain basis of human health and disease. individual behavioral variation can now be visualized at a neural level as patterns of connectivity among brain regions. functional brain imaging is enhancing... | arxiv:1912.10127 |
image inpainting is an essential task for multiple practical applications like object removal and image editing. deep gan - based models greatly improve the inpainting performance in structures and textures within the hole, but might also generate unexpected artifacts like broken structures or color blobs. users percei... | arxiv:2208.03357 |
in this article, we propose a new concept of bilayer stacking a - type altermagnet ( bsaa ), in which two identical ferromagnetic monolayers are stacked with antiferromagnetic coupling to form a two - dimensional a - type altermagnet. by solving the stacking model, we derive all bsaas for all layer groups and draw thre... | arxiv:2407.15097 |
cystic fibrosis foundation in order to expand the atlanta cystic fibrosis research and development program. in 2015, the two universities received a five - year, $ 2. 9 million grant from the national science foundation ( nsf ) to create new bachelor ' s, master ' s, and doctoral degree programs and concentrations in h... | https://en.wikipedia.org/wiki/Georgia_Tech |
a smooth bounded pseudoconvex domain in two complex variables is of finite type if and only if the number of eigenvalues of the d - bar - neumann laplacian that are less than or equal to $ \ lambda $ has at most polynomial growth as $ \ lambda $ goes to infinity. | arxiv:math/0508475 |
we present the measurements of strange hadron elliptic flow at mid - rapidity in au + au collisions at $ \ sqrt { s _ { nn } } $ = 7. 7 - 200 gev using the star detector in the years 2010 and 2011. the transverse momentum and collision centrality dependence of elliptic flow is presented. at the intermediate transverse ... | arxiv:1509.04300 |
in this paper, we focus on solving an important class of nonconvex optimization problems which includes many problems for example signal processing over a networked multi - agent system and distributed learning over networks. motivated by many applications in which the local objective function is the sum of smooth but ... | arxiv:1810.10085 |
open heavy - flavour hadrons are a powerful tool to investigate the properties of the high - density medium created in heavy - ion collisions at high energies as they come from the hadronization of heavy quarks. the latter are created in the early stage of the interaction and experience the whole collision history. hea... | arxiv:1305.3435 |
the collision problem is to decide whether a given list of numbers $ ( x _ 1, \ ldots, x _ n ) \ in [ n ] ^ n $ is $ 1 $ - to - $ 1 $ or $ 2 $ - to - $ 1 $ when promised one of them is the case. we show an $ n ^ { \ omega ( 1 ) } $ randomised communication lower bound for the natural two - party version of collision wh... | arxiv:2208.00029 |
we study the connection between spherical wedge and full spherical shell geometries using simple mean - field $ \ alpha ^ 2 $ dynamos. we solve the equations for a one - dimensional time - dependent mean - field dynamo to examine the effects of varying the polar angle $ \ theta _ 0 $ between the latitudinal boundaries ... | arxiv:1601.05246 |
marked mesh patterns are a very general type of permutation pattern. we examine a particular marked mesh pattern originally defined by kitaev and remmel, and show that its generating function is described by the $ r $ - stirling numbers. we examine some ramifications of various properties of the $ r $ - stirling number... | arxiv:1412.0345 |
galaxy evolution by interaction driven transformation is probably highly efficient in groups of galaxies. dwarf galaxies with their shallow potential are expected to reflect the interaction most prominently in their observable structure. the major aim of this series of papers is to establish a data base which allows to... | arxiv:1407.0307 |
improving the predictive capability of molecular properties in ab initio simulations is essential for advanced material discovery. despite recent progress making use of machine learning, utilizing deep neural networks to improve quantum chemistry modelling remains severely limited by the scarcity and heterogeneity of a... | arxiv:2102.04229 |
we consider the derivatives which appear in the context of noncommutative string theory. first, we identify the correct derivations to use when the underlying structure of the theory is a quasitriangular hopf algebra. then we show that this is a specific case of a more general structure utilising the drinfel ' d twist.... | arxiv:hep-th/0003234 |
] defined the minmin coalition number $ c _ { \ min } ( g ) $ of $ g $ to equal the minimum order of a minimal $ c $ - partition of $ g $. we show that $ 2 \ le c _ { \ min } ( g ) \ le n $, and we characterize graphs $ g $ of order $ n $ satisfying $ c _ { \ min } ( g ) = n $. a polynomial - time algorithm is given to... | arxiv:2307.01222 |
first - principles density - functional calculations are performed to investigate the thermal transport properties in graphene nanoribbons ( gnrs ). the dimensional crossover of thermal conductance from one to two dimensions ( 2d ) is clearly demonstrated with increasing ribbon width. the thermal conductance of gnrs in... | arxiv:1203.2819 |
differential flows among different ion species are often observed in the solar wind, and such ion differential flows can provide the free energy to drive alfv \ ' en / ion - cyclotron and fast - magnetosonic / whistler instabilities. previous works mainly focused on ion beam instability under the parameters representat... | arxiv:2107.12883 |
next - generation large - scale structure surveys will deliver a significant increase in the precision of growth data, allowing us to use ` agnostic ' methods to study the evolution of perturbations without the assumption of a cosmological model. we focus on a particular machine learning tool, gaussian processes, to re... | arxiv:2105.01613 |
the significant properties and phase transition of charged anti - de sitter ( ads ) black holes have been extensively studied in a variety of modified theories of gravity in the presence of numerous matter fields. the goal of our current research is to investigate the ads black hole ' s thermodynamics under the impact ... | arxiv:2311.02145 |
using authors ' s methods of 1980, 1981, some explicit finite sets of number fields containing ground fields of arithmetic hyperbolic reflection groups are defined, and good bounds of their degrees ( over q ) are obtained. for example, degree of the ground field of any arithmetic hyperbolic reflection group in dimensio... | arxiv:0708.3991 |
a large population of extended substructures generates a stochastic gravitational field that is fully specified by the function $ p ( { \ bf f } ) $, which defines the probability that a tracer particle experiences a force $ \ bf f $ within the interval $ { \ bf f }, { \ bf f } + d \ bf f $. this paper presents a stati... | arxiv:1710.06443 |
singular - value decomposition ( svd ) is a ubiquitous data analysis method in engineering, science, and statistics. singular - value estimation, in particular, is of critical importance in an array of engineering applications, such as channel estimation in communication systems, electromyography signal analysis, and i... | arxiv:2210.12097 |
what will 5g be? what it will not be is an incremental advance on 4g. the previous four generations of cellular technology have each been a major paradigm shift that has broken backwards compatibility. and indeed, 5g will need to be a paradigm shift that includes very high carrier frequencies with massive bandwidths, e... | arxiv:1405.2957 |
a modal stability analysis shows that plane poiseuille flow of an oldroyd - b fluid becomes unstable to a ` center mode ' with phase speed close to the maximum base - flow velocity, $ u _ { max } $. the governing dimensionless groups are the reynolds number $ re = \ rho u _ { max } h / \ eta $, the elasticity number $ ... | arxiv:2008.00231 |
we report on the stark deceleration and electrostatic trapping of $ ^ { 14 } $ nh ( $ a ^ 1 \ delta $ ) radicals. in the trap, the molecules are excited on the spin - forbidden $ a ^ 3 \ pi \ leftarrow a ^ 1 \ delta $ transition and detected via their subsequent fluorescence to the $ x ^ 3 \ sigma ^ - $ ground state. t... | arxiv:0709.3212 |
linked open data exhibits growth in both volume and variety of published data. due to this variety, instances of many different types ( e. g. person ) can be found in published datasets. type alignment is the problem of automatically matching types ( in a possibly many - many fashion ) between two such datasets. type a... | arxiv:1608.04442 |
detecting tev - - pev cosmic neutrinos provides crucial tests of neutrino physics and astrophysics. the statistics of icecube and the larger proposed icecube - gen2 demand calculations of neutrino - nucleus interactions subdominant to deep - inelastic scattering, which is mediated by weak - boson couplings to nuclei. t... | arxiv:1910.10720 |
we study the effect that non - equilibrium chemistry in dynamical models of collapsing molecular cloud cores has on measurements of the magnetic field in these cores, the degree of ionization, and the mean molecular weight of ions. we find that oh and cn, usually used in zeeman observations of the line - of - sight mag... | arxiv:1111.4218 |
the multiplicity of inclusive photons has been measured on an event - by - event basis for 158 agev pb induced reactions on ni, nb, and pb targets. the systematics of the pseudorapidity densities at midrapidity ( rho _ max ) and the width of the pseudorapidity distributions have been studied for varying centralities fo... | arxiv:nucl-ex/9903006 |
space borne nulling interferometry in the mid - infrared waveband is one of the most promising techniques for characterizing the atmospheres of extra - solar planets orbiting in the habitable zone of their parent star, and possibly discovering life markers. one of its most difficult challenges is the control of free - ... | arxiv:2208.13470 |
the escape from a given domain is one of the fundamental problems in statistical physics and the theory of stochastic processes. here, we explore properties of the escape of an inertial particle driven by l \ ' evy noise from a bounded domain, restricted by two absorbing boundaries. presence of two absorbing boundaries... | arxiv:2104.10185 |
we present a novel online unsupervised method for face identity learning from video streams. the method exploits deep face descriptors together with a memory based learning mechanism that takes advantage of the temporal coherence of visual data. specifically, we introduce a discriminative feature matching solution base... | arxiv:1711.07368 |
in order to determine a suitable automobile insurance policy premium one needs to take into account three factors, the risk associated with the drivers and cars on the policy, the operational costs associated with management of the policy and the desired profit margin. the premium should then be some function of these ... | arxiv:2209.02762 |
rydberg atom array experiments have demonstrated the ability to act as powerful quantum simulators, preparing strongly - correlated phases of matter which are challenging to study for conventional computer simulations. a key direction has been the implementation of interactions on frustrated geometries, in an effort to... | arxiv:2405.20384 |
although the phenomenon of chirality appears in many investigations of maps and hypermaps no detailed study of chirality seems to have been carried out. chirality of maps and hypermaps is not merely a binary invariant but can be quantified by two new invariants - - the chirality group and the chirality index, the latte... | arxiv:math/0609070 |
the matrix sturm - liouville operator on a finite interval with singular potential of class $ w _ 2 ^ { - 1 } $ and the general self - adjoint boundary conditions is studied. this operator generalizes the sturm - liouville operators on geometrical graphs. we investigate the inverse problem that consists in recovering t... | arxiv:2007.07299 |
we study non - archimedean $ \ mu $ - entropy for toric variety as a further exploration of $ \ mu $ k - stability. we show the existence of optimizer of toric non - archimedean $ \ mu ^ \ lambda $ - entropy for $ \ lambda \ in \ mathbb { r } $ and the uniqueness for $ \ lambda \ le 0 $. for the proof of existence, we ... | arxiv:2303.09090 |
we present quantum simulations of carbon nanotube field - effect transistors ( cnt - fets ) based on top - gated architectures and compare to electrical characterization on devices with 15 nm channel lengths. a non - equilibrium green ' s function ( negf ) quantum transport method coupled with a $ \ vec { k } \ cdot \ ... | arxiv:2108.07013 |
recent results of a high - statistics study of tau lepton properties and decays at b factories are reviewed. we discuss measurements of tau lifetime, branching fractions, and spectral functions for several hadronic tau decay modes with $ k ^ 0 _ s $. results of a search for lepton flavor violating tau decays as well as... | arxiv:1407.7196 |
in this paper, we propose a novel method to make distance predictions in real - world social networks. as predicting missing distances is a difficult problem, we take a two - stage approach. structural parameters for families of synthetic networks are first estimated from a small set of measurements of a real - world n... | arxiv:2106.03233 |
accurate phase diagrams of multicomponent plasmas are required for the modeling of dense stellar plasmas, such as those found in the cores of white dwarf stars and the crusts of neutron stars. those phase diagrams have been computed using a variety of standard techniques, which suffer from physical and computational li... | arxiv:2104.00599 |
the scaling relations between the gas content and star formation rate of galaxies provide useful insights into processes governing their formation and evolution. we investigate the emergence and the physical drivers of the global kennicutt - schmidt ( ks ) relation at $ 0. 25 \ leq z \ leq 4 $ in the cosmological hydro... | arxiv:2309.06485 |
this contribution to the xxvii symposium on multiparticle dynamics held in frascati, italy, september, 1997 consists of the following subject matter : ( 1 ) introductory generalities. ( 2 ) brief mention of some of the contributions to the meeting. ( 3 ) more extended discussion of a few specialized topics. ( 4 ) discu... | arxiv:hep-ph/9712240 |
we investigate aging in glassy systems based on a simple model, where a point in configuration space performs thermally activated jumps between the minima of a random energy landscape. the model allows us to show explicitly a subaging behavior and multiple scaling regimes for the correlation function. both the exponent... | arxiv:cond-mat/0001161 |
in this paper, i propose a general procedure for multivariate distribution - free nonparametric testing derived from the concept of ranks that are based upon measure transportation in the context of multiple change point analysis. i will use this algorithm to estimate both the number of change points and their location... | arxiv:2108.04903 |
solar neutrinos are discussed in the light of the new data and of recent progress in helioseismology. most attention is given to the new status of standard solar models due to seismically measured density and sound speed in the inner solar core. the elementary particle solutions to the solar neutrino problem and their ... | arxiv:astro-ph/9710126 |
in this paper, calculated energies of the lowest bound state of coulomb three - body systems containing an electron ( $ e ^ - $ ), a negatively charged muon ( $ \ mu ^ - $ ) and a nucleus ( $ n ^ { z + } $ ) of charge number z are reported. the 3 - body relative wave function in the resulting schr \ " odinger equation ... | arxiv:1510.06831 |
fluorescence spectroscopy is a fundamental tool in life sciences and chemistry, widely used for applications such as environmental monitoring, food quality control, and biomedical diagnostics. however, analysis of spectroscopic data with deep learning, in particular of fluorescence excitation - emission matrices ( eems... | arxiv:2406.10031 |
we study the formation of ( quasi - ) coherent matter waves emerging from a mott insulator for strongly interacting bosons on a one - dimensional lattice. it has been shown previously that a quasi - condensate emerges at momentum k = \ pi / 2a, where a is the lattice constant, in the limit of infinitely strong repulsio... | arxiv:cond-mat/0606155 |
we search the lambda = 1. 1 mm bolocam galactic plane survey for clumps containing sufficient mass to form ~ 10 ^ 4 m \ odot star clusters. 18 candidate massive proto - clusters are identified in the first galactic quadrant outside of the central kiloparsec. this sample is complete to clumps with mass m ( clump ) > 10 ... | arxiv:1208.4097 |
self - regulation of living tissue as an example of self - organization phenomena in hierarchical systems of biological, ecological, and social nature is under consideration. the characteristic feature of these systems is the absence of any governing center and, thereby, their self - regulation is based on a cooperativ... | arxiv:0911.5131 |
this paper describes the accuracy and the errors of water vapour content measurements in the atmosphere using optical methods, especially starphotometer. after the general explanations of the used expressions for the star - magnitude observations of the water vapour absorption in section 3 the absorption model for the ... | arxiv:1010.3669 |
this short note gives a sufficient condition for having the class of polynomials dense in the space of square integrable functions with respect to a finite measure dominated by the lebesgue measure in the real line, here denoted by $ l ^ 2 $. it is shown that if the laplace transform of the measure in play is bounded i... | arxiv:1603.03473 |
we present a study of carbon radio recombination lines towards cassiopeia a using lofar observations in the frequency range 10 - 33 mhz. individual carbon $ \ alpha $ lines are detected in absorption against the continuum at frequencies as low as 16 mhz. stacking several c $ \ alpha $ lines we obtain detections in the ... | arxiv:1701.08802 |
providing wellbeing for all while safeguarding planetary boundaries may require governments to pursue post - growth policies. previous empirical studies of sustainable wellbeing initiatives investigating enablers of and barriers to post - growth policymaking are either based on a small number of empirical cases or lack... | arxiv:2501.17600 |
modifications of general relativity often involve coupling additional scalar fields to the ricci scalar, leading to scalar - tensor theories of brans - dicke type. if the additional scalar fields are light, they can give rise to long - range fifth forces, which are subject to stringent constraints from local tests of g... | arxiv:1903.09603 |
the pressing game on black - and - white graphs is the following : given a graph $ g ( v, e ) $ with its vertices colored with black and white, any black vertex $ v $ can be pressed, which has the following effect : ( a ) all neighbors of $ v $ change color, i. e. white neighbors become black and \ emph { vice versa },... | arxiv:1303.6799 |
we use a series of statistical techniques to compare the clustering of samples of iras galaxies selected on the basis of their far - infrared emission temperature, to see whether a temperature - dependent effect, such as might be produced by interaction - induced star formation, could be responsible for the increase in... | arxiv:astro-ph/9511028 |
entanglement - based networks ( ebns ) enable general - purpose quantum communication by combining entanglement and its swapping in a sequence that addresses the challenges of achieving long distance communication with high fidelity associated with quantum technologies. in this context, entanglement distribution refers... | arxiv:2501.03210 |
the most important part of model selection and hyperparameter tuning is the evaluation of model performance. the most popular measures, such as auc, f1, acc for binary classification, or rmse, mad for regression, or cross - entropy for multilabel classification share two common weaknesses. first is, that they are not o... | arxiv:1908.09213 |
imaging using interferometer arrays based on the van cittert - zernike theorem has been widely used in astronomical observation. recently it was shown that superresolution can be achieved in this system for imaging two weak thermal point sources. using quantum estimation theory, we consider the fundamental quantum limi... | arxiv:2012.14026 |
we investigate a family of integrals involving modified bessel functions that arise in the context of neutrino scattering. recursive formulas are derived for evaluating these integrals and their asymptotic expansions are computed. we prove in certain cases that the asymptotic expansion yields the exact result after a f... | arxiv:1509.06308 |
the national institutes of health ' s ( nih ) human biomolecular atlas program ( hubmap ) aims to create a comprehensive high - resolution atlas of all the cells in the healthy human body. multiple laboratories across the united states are collecting tissue specimens from different organs of donors who vary in sex, age... | arxiv:2007.14474 |
we present examples of bicontinuous interfacially jammed emulsion gels ( " bijels " ) with a designed gradient in the channel size along the sample. these samples are created by quenching binary fluids which have a gradient in particle concentration along the sample, since the channel size is determined by the local pa... | arxiv:2110.11988 |
let $ m $ be a cartan - hadamard manifold with sectional curvature satisfying $ - b ^ 2 \ leq k \ leq - a ^ 2 < 0 $, $ b \ geq a > 0. $ denote by $ \ partial _ { \ infty } m $ the asymptotic boundary of $ m $ and by $ \ bar m : = m \ cup \ partial _ \ infty m $ the geometric compactification of $ m $ with the cone topo... | arxiv:1601.00361 |
we prove a rank 1 version of the hanna neumann theorem. this shows that every one - relator 2 - complex without torsion has the nonpositive immersion property. the proof generalizes to staggered and reducible 2 - complexes. | arxiv:1410.2579 |
we study the phase diagram of a one - dimensional balls - in - boxes ( bib ) model that has been proposed as an effective model for the spatial - volume dynamics of ( 2 + 1 ) - dimensional causal dynamical triangulations ( cdt ). the latter is a statistical model of random geometries and a candidate for a nonperturbati... | arxiv:1612.09533 |
electronic correlations arise from the competition between the electrons ' kinetic and coulomb interaction energy and give rise to a rich phase diagram and many emergent quasiparticles. the binding of doubly - occupied and empty sites into a doublon - holon exciton is an example of this in the hubbard model. unlike tra... | arxiv:2409.05640 |
in this paper we establish an attainability result for the minimum time function of a control problem in the space of probability measures endowed with wasserstein distance. the dynamics is provided by a suitable controlled continuity equation, where we impose a nonlocal nonholonomic constraint on the driving vector fi... | arxiv:1904.10933 |
we propose a focusing method of intense midair ultrasound out of ultrasonic emission from a single flexurally vibrating square plate partially covered with a purposely designed amplitude mask. many applications relying on nonlinear acoustic effects, such as radiation force employed in acoustic levitation, have been dev... | arxiv:2406.00996 |
some elaborations regarding the hilbert and fourier transforms of fermi function are presented. the main result shows that the hilbert transform of the difference of two fermi functions has an analytical expression in terms of the $ \ psi $ ( digamma ) function, while its fourier transform is expressed by mean of eleme... | arxiv:1303.6206 |
interpolation inequalities in triebel - lizorkin - lorentz spaces and besov - lorentz spaces are studied for both inhomogeneous and homogeneous cases. first we establish interpolation inequalities under quite general assumptions on the parameters of the function spaces. several results on necessary conditions are also ... | arxiv:2109.07518 |
the 2 + 1 dimensional quantum lifshitz model can be generalised to a class of higher dimensional free field theories that exhibit lifshitz scaling. when the dynamical critical exponent equals the number of spatial dimensions, equal time correlation functions of scaling operators in the generalised quantum lifshitz mode... | arxiv:1611.09371 |
in this paper, we present the directly denoising diffusion model ( dddm ) : a simple and generic approach for generating realistic images with few - step sampling, while multistep sampling is still preserved for better performance. dddms require no delicately designed samplers nor distillation on pre - trained distilla... | arxiv:2405.13540 |
initial development and subsequent calibration of discrete event simulation models for complex systems require accurate identification of dynamically changing process characteristics. existing data driven change point methods ( dd - cpd ) assume changes are extraneous to the system, thus cannot utilize available proces... | arxiv:2005.05385 |
we have performed first - principles calculations using density functional theory on a kagome lattice model with a chiral spin state, as a representative example demonstrating significant longitudinal and transverse thermoelectric properties. the results revealed that the saddle - point - type van hove singularity ( vh... | arxiv:2309.11728 |
we show that instanton calculations in qcd become theoretically well defined in the gluon saturation environment which suppresses large size instantons. the effective cutoff scale is determined by the inverse of the saturation scale. we concentrate on two most important cases : the small - x tail of a gluon distributio... | arxiv:hep-ph/0106248 |
we compute the entanglement cost of several families of bipartite mixed states, including arbitrary mixtures of two bell states. this is achieved by developing a technique that allows us to ascertain the additivity of the entanglement of formation for any state supported on specific subspaces. as a side result, the pro... | arxiv:quant-ph/0112131 |
magnetic properties of the $ s = 1 / 2 $ antiferromagnet $ \ alpha $ - cu $ _ { 2 } $ v $ _ { 2 } $ o $ _ { 7 } $ have been studied using magnetization, quantum monte carlo ( qmc ) simulations, and neutron diffraction. magnetic susceptibility shows a broad peak at $ \ sim50 $ ~ k followed by an abrupt increase indicati... | arxiv:1502.02769 |
non - autoregressive ( nar ) text generation has attracted much attention in the field of natural language processing, which greatly reduces the inference latency but has to sacrifice the generation accuracy. recently, diffusion models, a class of latent variable generative models, have been introduced into nar text ge... | arxiv:2303.06574 |
superlattice ( sl ) thin films composed of refractory ceramics unite extremely high hardness and enhanced fracture toughness ; a material combination often being mutually exclusive. while the hardness enhancement obtained whentwo materials form a superlattice is well described by existing models based on dislocation mo... | arxiv:2008.13652 |
we present a simple physically motivated picture for the mildly non - linear regime of structure formation, which captures the effects of the bulk flows. we apply this picture to develop a method to significantly reduce the sample variance in cosmological n - body simulations at the scales relevant to the baryon acoust... | arxiv:1109.4939 |
we present measurements of elliptic flow ( $ v _ { 2 } $ ) of $ k _ { s } ^ { 0 } $, $ \ lambda $, $ \ bar { \ lambda } $, $ \ phi $, $ \ xi ^ { - } $, $ \ overline { \ xi } ^ { + } $, and $ \ omega ^ { - } $ + $ \ overline { \ omega } ^ { + } $ at mid - rapidity ( $ | \ eta | < $ 1. 0 ) in isobar collisions ( $ ^ { 96... | arxiv:2311.09698 |
single - molecule fluorescence techniques have revolutionized our ability to study proteins. however, the presence of a fluorescent label can alter the protein structure and / or modify its reaction with other species. to avoid the need for a fluorescent label, the intrinsic autofluorescence of proteins in the ultravio... | arxiv:2204.02807 |
detecting out - of - distribution ( ood ) inputs is a principal task for ensuring the safety of deploying deep - neural - network classifiers in open - set scenarios. ood samples can be drawn from arbitrary distributions and exhibit deviations from in - distribution ( id ) data in various dimensions, such as foreground... | arxiv:2303.08727 |
the reactions pp - > pf ( x0 ) ps, where x0 is observed decaying to eta etaprime and etaprime etaprime, have been studied at 450 gev / c. this is the first time that these channels have been observed in central production and only the second time that the etaprime etaprime channel has been observed in any production me... | arxiv:hep-ex/9911041 |
in this article, we consider the number of collisions of three independent simple random walks on a subgraph of the two - dimensional square lattice obtained by removing all horizontal edges with vertical coordinate not equal to 0 and then, for $ n \ in \ mathbb { z } $, restricting the vertical segment of the graph lo... | arxiv:2410.04882 |
an integral homology theory on the category of undirected reflexive graphs was constructed in [ 2 ]. a geometrical method to understand behaviors of $ 1 $ - and $ 2 $ - simplices under differential maps of the theory was developed in [ 3 ] and led us to an independent proof that the first homology group of any cycle gr... | arxiv:1912.06603 |
many real oscillators are coupled to other oscillators and the coupling can affect the response of the oscillators to stimuli. we investigate phase response curves ( prcs ) of coupled oscillators. the prcs for two weakly coupled phase - locked oscillators are analytically obtained in terms of the prc for uncoupled osci... | arxiv:0809.3371 |
abhyankar defined an ideal to be hilbertian if its hilbert polynomial coincides with its hilbert function for all nonnegative integers. in 1984, he proved that the ideal of ( r + 1 ) - order minors of a generic p x q matrix is hilbertian. we give a different proof and a generalization to the schubert determinantal idea... | arxiv:2305.12558 |
we present the mixed qcd - ew two - loop virtual amplitudes for the neutral current drell - yan production, one of the bottlenecks for the complete calculation of the nnlo mixed qcd - ew corrections. we present the computational details and the first steps towards their automation. we describe the evaluation of all the... | arxiv:2208.03510 |
in this paper, ageing behavior of suspensions of laponite with varying salt concentration is investigated using rheological tools. it is observed that the ageing is accompanied by an increase in the complex viscosity. the succeeding creep experiments performed at various ages showed damped oscillations in the strain. t... | arxiv:0708.0456 |
stochastic gradient descent ( sgd ) is a well known method for regression and classification tasks. however, it is an inherently sequential algorithm at each step, the processing of the current example depends on the parameters learned from the previous examples. prior approaches to parallelizing linear learners using ... | arxiv:1705.08030 |
in this paper we give an exact relation between the green ' s function in a scattering problem for a wave equation and the correlation of scattered plane waves. this general relation was proved in a special case by sanchez - sesma and al. | arxiv:1103.4450 |
a generalization of the quantum xor - gate is presented which operates in arbitrary dimensional hilbert spaces. together with one - particle fourier transforms this gate is capable of performing a variety of tasks which are important for quantum information processing in arbitrary dimensional hilbert spaces. among thes... | arxiv:quant-ph/0008022 |
differential structure of lattices can be defined if the lattices are treated as models of noncommutative geometry. the detailed construction consists of specifying a generalized dirac operator and a wedge product. gauge potential and field strength tensor can be defined based on this differential structure. when an in... | arxiv:hep-th/0101184 |
large language models ( llms ), excel in natural language understanding, but their capability for complex mathematical reasoning with an amalgamation of structured tables and unstructured text is uncertain. this study explores llms ' mathematical reasoning on four financial tabular question - answering datasets : tatqa... | arxiv:2402.11194 |
dependent pattern matching is a key feature in dependently typed programming. however, there is a theory - practice disconnect : while many proof assistants implement pattern matching as primitive, theoretical presentations give semantics to pattern matching by elaborating to eliminators. though theoretically convenien... | arxiv:2501.18087 |
spins in quantum dots can act as the qubit for quantum computation. in this context we point out that spins on neighboring dots will experience an anisotropic form of the exchange coupling, called the dzyaloshinskii - moriya ( dm ) interaction, which mixes the spin singlet and triplet states. this will have an importan... | arxiv:cond-mat/0601098 |
this study probes the phonetic and phonological knowledge of lexical tones in tts models through two experiments. controlled stimuli for testing tonal coarticulation and tone sandhi in mandarin were fed into tacotron 2 and waveglow to generate speech samples, which were subject to acoustic analysis and human evaluation... | arxiv:1912.10915 |
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