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the dirichlet series $ l _ m ( s ) $ are of fundamental importance in number theory. shanks defined the generalized euler and class numbers in connection with these dirichlet series, denoted by $ \ { s _ { m, n } \ } _ { n \ geq 0 } $. we obtain a formula for the exponential generating function $ s _ m ( x ) $ of $ s _... | arxiv:1004.2168 |
we study heterostructures where a two - dimensional topological insulator ( ti ) is attached to two normal metal ( nm ) electrodes while an island of a ferromagnetic insulator ( fi ) with precessing magnetization covers a portion of its lateral edges to induce time - dependent exchange field underneath via the magnetic... | arxiv:1005.3796 |
we review and extend our recent work on the planar ( large n ) equivalence between gauge theories with varying degree of supersymmetry. the main emphasis is made on the planar equivalence between n = 1 gluodynamics ( super - yang - mills theory ) and a non - supersymmetric " orientifold field theory. " we outline an " ... | arxiv:hep-th/0403071 |
this paper systematically compares two mathematical foundations for multitarget tracking : labeled random finite sets ( lrfs ' s ) and trajectory random finite sets ( trfs ' s ). | arxiv:2203.10972 |
optical - field emission from nanostructured solids such as subwavelength nanoantennas can be leveraged to create sub - femtosecond, phz - scale electronics for optical - field detection. one application that is of particular interest is the detection of an incident optical pulse ' s carrier - envelope phase. such carr... | arxiv:2103.08018 |
despite their immense success, deep neural networks ( cnns ) are costly to train, while modern architectures can retain hundreds of convolutional layers in network depth. standard convolutional operations are fundamentally limited by their linear nature along with fixed activations, where multiple layers are needed to ... | arxiv:2410.05500 |
we present a set of hydrodynamical / nbody controlled simulations of isolated gas rich galaxies that self - consistently include sn feedback and a detailed chemical evolution model, both tested in cosmological simulations. the initial conditions are motivated by the observed star forming galaxies at z ~ 2 - 3. we find ... | arxiv:1308.4396 |
we derive the effective equations for the out of equilibrium time evolution of the order parameter and the fluctuations of a scalar field theory in spatially flat frw cosmologies. the calculation is performed both to one - loop and in a non - perturbative, self - consistent hartree approximation. the method consists of... | arxiv:hep-ph/9310319 |
the problem of particle creation from vacuum in a flat robertson - walker space - time is studied. two sets of exact solutions for the klein gordon equation are given. then the canonical method based on bogoliubov transformation is applied to calculate the pair creation probability and the density number of created par... | arxiv:1108.0336 |
we present the first lattice qcd determination of the $ b _ c \ rightarrow j / \ psi $ vector and axial - vector form factors. these will enable experimental information on the rate for $ b _ c $ semileptonic decays to $ j / \ psi $ to be converted into a value for $ v _ { cb } $. our calculation covers the full physic... | arxiv:2007.06957 |
we investigate the transport and the dynamical properties of tunnel - coupled double charge shuttles. the oscillation frequencies of two shuttles are mode - locked to integer multiples of the applied voltage frequency $ \ omega $. we show that left / right - symmetric double shuttles may generate direct net current due... | arxiv:cond-mat/0610287 |
the breakthrough paper of croot, lev, pach \ cite { clp } on progression - free sets in $ \ z _ 4 ^ n $ introduced a polynomial method that has generated a wealth of applications, such as ellenberg and gijswijt ' s solutions to the cap set problem \ cite { eg }. using this method, we bound the size of a set of polynomi... | arxiv:1701.07196 |
we give a geometric invariant theory ( git ) construction of the log canonical model $ \ bar m _ g ( \ alpha ) $ of the pairs $ ( \ bar m _ g, \ alpha \ delta ) $ for $ \ alpha \ in ( 7 / 10 - \ epsilon, 7 / 10 ] $ for small $ \ epsilon \ in \ mathbb q _ + $. we show that $ \ bar m _ g ( 7 / 10 ) $ is isomorphic to the... | arxiv:0806.3444 |
we construct morse - smale - witten complex for an effective orientable orbifold. for a global quotient orbifold, we also construct a morse - bott complex. we show that certain type of critical points of a morse function has to be discarded to construct such a complex, and gradient flows should be counted with suitable... | arxiv:1103.5528 |
in order to make the foundation model more efficient and effective, our idea is combining sequence transformation and state transformation. first, we prove the availability of rotary position embedding in the state space duality algorithm, which reduces the perplexity of the hybrid quadratic causal self - attention and... | arxiv:2412.11834 |
link prediction is a key problem for network - structured data, attracting considerable research efforts owing to its diverse applications. the current link prediction methods focus on general networks and are overly dependent on either the closed triangular structure of networks or node attributes. their performance o... | arxiv:2204.07703 |
superconductivity was discovered in a ni0 : 05tas2 single crystal. a ni0 : 05tas2 single crystal was successfully grown via the nacl / kcl flux method. the obtained lattice constant c of ni0 : 05tas2 is 1. 1999 nm, which is significantly smaller than that of 2h - tas2 ( 1. 208 nm ). electrical resistivity and magnetiza... | arxiv:0811.2549 |
various theoretical obstacles are associated with a homogeneous and isotropic distribution of ` ` charge ' ' which is subject to a repulsive, long - range force. we show how these can be overcome, for all practical purposes, by the simple device of endowing the particle which carries the force with a small mass. the re... | arxiv:gr-qc/0105072 |
context. fine - scale structures of the solar chromosphere, particularly fibrils, are known to host various types of magnetohydrodynamic ( mhd ) waves that can transport energy to the corona. in particular, absorption features observed in the h { \ alpha } channel have been widely detected that exhibit transverse oscil... | arxiv:2504.21857 |
we present two variants of wythoff ' s game. the first game is a restriction of wythoff ' s game in which removing tokens from the smaller pile is not allowed if the two entries are not equal. the second game is an extension of wythoff ' s game obtained by adjoining a move allowing players to remove k tokens from the s... | arxiv:1202.3186 |
the temperature dependence of the magnetisation of a cu ( mn ) spin glass ( $ t _ g $ $ \ approx $ 57 k ) has been investigated using weak probing magnetic fields ( $ h $ = 0. 5 or 0 oe ) and specific thermal protocols. the behaviour of the zero - field cooled, thermoremanent and isothermal remanent magnetisation on ( ... | arxiv:1002.0612 |
we investigate the dynamics brought on by an impulse perturbation in two infinite - range quantum ising models coupled to each other and to a dissipative bath. we show that, if dissipation is faster the higher the excitation energy, the pulse perturbation cools down the low - energy sector of the system, at the expense... | arxiv:2105.01321 |
we study decoherence of one, two, and $ n $ non - interacting qubits. decoherence, measured in terms of purity, is calculated in linear response approximation, making use of the spectator configuration. the environment and its interaction with the qubits are modelled by random matrices. for two qubits, numerical studie... | arxiv:0711.4642 |
. g. $ \ mathbb { z } ^ d $ or a free group ), and $ \ text { char } ( k ) = 0 $, all injective algebraic cellular automata $ \ tau \ colon \ mathbb { c } ^ g \ to \ mathbb { c } ^ g $ are of the form $ \ tau ( x ) ( h ) = a x ( g ^ { - 1 } h ) + b $ for all $ x \ in \ mathbb { c } ^ g, h \ in g $ for some $ g \ in g $... | arxiv:1804.06631 |
we show that there exists a quasi - isometric embedding of the product of $ n $ copies of $ \ mathbb { h } _ { \ mathbb { r } } ^ 2 $ into any symmetric space of non - compact type of rank $ n $, and there exists a bi - lipschitz embedding of the product of $ n $ copies of the $ 3 $ - regular tree $ t _ 3 $ into any th... | arxiv:2405.02226 |
" unified science " can refer to any of three related strands in contemporary thought. belief in the unity of science was a central tenet of logical positivism. different logical positivists construed this doctrine in several different ways, e. g. as a reductionist thesis, that the objects investigated by the special s... | https://en.wikipedia.org/wiki/Unified_Science |
we consider a continuous model of d - dimensional elastic ( polymerized ) manifold fluctuating in d - dimensional euclidean space, interacting with a single impurity via an attractive or repulsive delta - potential ( but without self - avoidance interactions ). except for d = 1 ( the polymer case ), this model cannot b... | arxiv:hep-th/9211038 |
let $ p _ t $ and $ c _ \ ell $ denote a path on $ t $ vertices and a cycle on $ \ ell $ vertices, respectively. in this paper we study the $ k $ - coloring problem for $ ( p _ t, c _ \ ell ) $ - free graphs. maffray and morel, and bruce, hoang and sawada, have proved that 3 - colorability of $ p _ 5 $ - free graphs ha... | arxiv:1310.0340 |
eye - tracking research has proven valuable in understanding numerous cognitive functions. recently, frey et al. provided an exciting deep learning method for learning eye movements from fmri data. however, it needed to co - register fmri into standard space to obtain eyeballs masks, and thus required additional templa... | arxiv:2311.13372 |
first, it is pointed out that hadron / nuclear physics based on qcd should be regarded as ` ` condensed matter physics ' ' of the qcd vacuum. we indicate that phase shift analyses which respect chiral symmetry ( chs ), analyticity and crossing symmetry of the scattering amplitude show the $ \ sigma $ meson pole in the ... | arxiv:nucl-th/0306056 |
we present time - dependent density matrix renormalization group ( dmrg ) results for strongly interacting one dimensional fermionic systems at finite temperature. when interactions are strong the characteristic spin energy can be greatly suppressed relative to the characteristic charge energy, allowing for the possibi... | arxiv:0910.3957 |
coauthors ( ca ) of a " lead investigator " ( li ) can receive a rank ( r ) according to their " importance " in having published joint publications with the li. it is commonly accepted, without any proof, that publications in peer review journals and e. g. conference proceedings do not have the same " value " in a cv.... | arxiv:1306.2604 |
= = = = references = = de crespigny, rafe ( 2007 ), a biographical dictionary of later han to the three kingdoms ( 23 – 220 ad ), leiden : koninklijke brill, isbn 978 - 90 - 04 - 15605 - 0. berggren, lennart ; borwein, jonathan m. ; borwein, peter b. ( 2004 ), pi : a source book, new york : springer, isbn 978 - 0 - 387... | https://en.wikipedia.org/wiki/History_of_mathematics |
a reaction - diffusion equation is studied in a time - dependent interval whose length varies with time. the reaction term is either linear or of kpp type. on a fixed interval, it is well - known that if the length is less than a certain critical value then the solution tends to zero. when the domain length may vary wi... | arxiv:2110.06007 |
we demonstrate that combining cosmic microwave background anisotropy measurements from the 1st year wmap observations with clustering data from the sloan galaxy redshift survey yields an indication for primordial anisotropies in the cosmological neutrino background. | arxiv:astro-ph/0412066 |
in clinical trials, mixed effects models for repeated measures ( mmrm ) and pattern mixture models ( pmm ) are often used to analyze longitudinal continuous outcomes. we describe a simple missing data imputation algorithm for the mmrm that can be easily implemented in standard statistical software packages such as sas ... | arxiv:1610.03580 |
we study ribbons of vanishing gaussian curvature, i. e., flat ribbons, constructed along a curve in $ \ mathbb { r } ^ { 3 } $. in particular, we first investigate to which extent the ruled structure determines a flat ribbon : in other words, we ask whether for a given curve $ \ gamma $ and ruling angle ( angle between... | arxiv:2104.12382 |
the discovery of multiple superconducting phases in ute2 boosted research on correlated - electron physics. this heavy - fermion paramagnet was rapidly identified as a reference compound to study the interplay between magnetism and unconventional superconductivity with multiple degrees of freedom. the proximity to a fe... | arxiv:2311.05455 |
federated learning ( fl ) represents a paradigm shift in distributed machine learning ( ml ), enabling clients to train models collaboratively while keeping their raw data private. this paradigm shift from traditional centralized ml introduces challenges due to the non - iid ( non - independent and identically distribu... | arxiv:2503.14553 |
we provide a necessary and sufficient condition for the representability of a function as the classical multidimensional laplace transform, when the support of the representing measure is contained in some generalized semi - algebraic set. this is done by employing a method of putinar and vasilescu [ putinar, m. and va... | arxiv:1202.1324 |
the mod - p cohomology ring of a non - trivial finite p - group is an infinite dimensional, finitely presented graded unital algebra over the field with p elements, with generators in positive degrees. we describe an effective algorithm to test if two such algebras are graded isomorphic. as application, we determine al... | arxiv:1503.04666 |
we report a variation with temperature ( $ t $ ) of the effective interdimeric interaction $ j ^ \ prime _ { \ mathrm { eff } } $ in the antiferromagnetic ( afm ) copper dimeric organic compound cu $ _ 2 $ [ tzts ] $ _ 4 $ [ n - thiazol - 2 - yl - toluenesulfonamidate cu $ ^ \ mathrm { ii } $ ]. this $ t $ dependence w... | arxiv:1704.06642 |
recently, takeoka, guha and wilde have established a new ( loose ) upper bound on the secret key capacity of a pure - loss bosonic channel that is several times larger than an error - free bb84 qkd channel with same transmittance. this suggests that new qkd protocols may exist with higher secret key rates and effective... | arxiv:1406.6990 |
we investigate ordering properties of two - dimensional granular materials using several shapes created by welding ball bearings together. ordered domains form much more easily in two than in three dimensions, even when configurations lack long - range order. the onset of ordered domains occurs near a packing density o... | arxiv:cond-mat/0102025 |
we deal with parameter estimation for a linear parabolic second - order stochastic partial differential equation in two space dimensions driven by two types of $ q $ - wiener processes based on high frequency data with respect to time and space. we propose minimum contrast estimators of the coefficient parameters based... | arxiv:2304.09441 |
large language models ( llms ) have been used in cybersecurity such as autonomous security analysis or penetration testing. capture the flag ( ctf ) challenges serve as benchmarks to assess automated task - planning abilities of llm agents for cybersecurity. early attempts to apply llms for solving ctf challenges used ... | arxiv:2502.10931 |
we study a singlet scalar extension of the standard model. the singlet scalar is coupled non - minimally to gravity and assumed to drive inflation, and also couple sufficiently strongly with the sm higgs field in order to provide for a strong first order electroweak phase transition. requiring the model to describe inf... | arxiv:1606.06063 |
in the rapidly evolving landscape of software development, addressing security vulnerabilities in open - source software ( oss ) has become critically important. however, existing research and tools from both academia and industry mainly relied on limited solutions, such as vulnerable version adjustment and adopting pa... | arxiv:2503.23357 |
to investigate the effects of muscle fatigue on force sense at the ankle joint, 10 young healthy adults were asked to perform an isometric contra - lateral force ankle - matching task in two experimental conditions of : ( 1 ) no - fatigue and ( 2 ) fatigue of the plantar - flexor muscles. measures of the overall accura... | arxiv:0806.0084 |
causal inference methods based on electronic health record ( ehr ) databases must simultaneously handle confounding and missing data. vast scholarship exists aimed at addressing these two issues separately, but surprisingly few papers attempt to address them simultaneously. in practice, when faced with simultaneous mis... | arxiv:2407.06038 |
video diffusion models are able to generate high - quality videos by learning strong spatial - temporal priors on large - scale datasets. in this paper, we aim to investigate whether such priors derived from a generative process are suitable for video recognition, and eventually joint optimization of generation and rec... | arxiv:2408.15241 |
double - fourier interferometry is the most viable path to sub - arcsecond spatial resolution for future astronomical instruments that will observe the universe at far - infrared wavelengths. the double transform spatio - spectral interferometry couples pupil plane beam combination with detector arrays to enable imagin... | arxiv:1507.03961 |
program transformations in terms of abstract syntax trees compromise referential integrity by introducing variable capture. variable capture occurs when in the generated program a variable declaration accidentally shadows the intended target of a variable reference. existing transformation systems either do not guarant... | arxiv:1404.5770 |
the partial transpose $ \ rho _ a ^ { t _ 2 } $ of the reduced density matrix $ \ rho _ a $ is the key object to quantify the entanglement in mixed states, in particular through the presence of negative eigenvalues in its spectrum. here we derive analytically the distribution of the eigenvalues of $ \ rho _ a ^ { t _ 2... | arxiv:1607.02992 |
noncatastrophic encoders are an important class of polynomial generator matrices of convolutional codes. when these polynomials have coefficients in a finite field, these encoders have been characterized are being polynomial left prime matrices. in this paper we study the notion of noncatastrophicity in the context of ... | arxiv:2104.06754 |
person re - identification is the task of matching pedestrian images across non - overlapping cameras. in this paper, we propose a non - linear cross - view similarity metric learning for handling small size training data in practical re - id systems. the method employs non - linear mappings combined with cross - view ... | arxiv:1909.11316 |
as a straightforward application of the recently calculated two - loop heavy quarkonium hamiltonian, we evaluate the two - loop $ o ( \ epsilon ) $ term of the $ 1 / ( mr ^ 2 ) $ heavy quarkonium potential. compared to a previous calculation we find a small difference in the coefficient of the maximally non - abelian c... | arxiv:2411.07048 |
in this paper, we consider the relation between toeplitz operators and elements in von neumann algebras generated by certain graph groupoids. | arxiv:1007.2896 |
green hydrogen is a promising solution within carbon free energy systems with sub - saharan africa being a possibly well - suited candidate for its production. however, green hydrogen in sub - saharan africa is not yet investigated in detail. this work determines the green hydrogen cost - potential for green hydrogen w... | arxiv:2408.10184 |
minimax optimization has found extensive applications in modern machine learning, in settings such as generative adversarial networks ( gans ), adversarial training and multi - agent reinforcement learning. as most of these applications involve continuous nonconvex - nonconcave formulations, a very basic question arise... | arxiv:1902.00618 |
we describe powder and single - crystal inelastic neutron scattering experiments on a spinel - type antiferromagnet geco $ _ 2 $ o $ _ 4 $, represented by an effective total angular momentum j _ eff = 1 / 2. several types of non - dispersive short - range magnetic excitations were discovered. the scattering intensity m... | arxiv:1102.4395 |
weak lensing causes spatially coherent fluctuations in flux of type ia supernovae ( sne ia ). this lensing magnification allows for weak lensing measurement independent of cosmic shear. it is free of shape measurement errors associated with cosmic shear and can therefore be used to diagnose and calibrate multiplicative... | arxiv:1504.00733 |
synchronous programming is a paradigm of choice for the design of safety - critical reactive systems. runtime enforcement is a technique to ensure that the output of a black - box system satisfies some desired properties. this paper deals with the problem of runtime enforcement in the context of synchronous programs. w... | arxiv:1612.05030 |
we demonstrate the power of a first principle - based and practicable method that allows for the perturbative computation of reduced density matrix elements of an open quantum system without making use of any master equations. the approach is based on techniques from non - equilibrium quantum field theory like thermo f... | arxiv:2204.08829 |
the rapid development of ai - mediated communication technologies ( aicts ), which are digital tools that use ai to augment interpersonal messages, has raised concerns about the future of interpersonal trust and prompted discussions about disclosure and uptake. this paper contributes to this discussion by assessing per... | arxiv:2305.01670 |
we investigate the braid group representations arising from categories of representations of twisted quantum doubles of finite groups. for these categories, we show that the resulting braid group representations always factor through finite groups, in contrast to the categories associated with quantum groups at roots o... | arxiv:math/0703274 |
we present a polarization - dependent infrared reflectivity study of the spin - ladder compound sr $ _ { 2. 5 } $ ca $ _ { 11. 5 } $ cu $ _ { 24 } $ o $ _ { 41 } $ under pressure. the optical response is strongly anisotropic, with the highest reflectivity along the ladders / chains ( \ textbf { e } $ \ | $ c ) revealin... | arxiv:1411.7590 |
we study the derivative nonlinear schr \ " odinger equation on the real line and obtain global - in - time bounds on high order sobolev norms. | arxiv:2107.12297 |
increasing evidence of the effects of changing climate on physical ocean conditions and long - term changes in fish populations adds to the need to understand the effects of stochastic forcing on marine populations. cohort resonance is of particular interest because it involves selective sensitivity to specific time sc... | arxiv:0912.2774 |
for mathematical convenience initial data sets in numerical relativity are often taken to be conformally flat. employing the dual - foliation formalism, we investigate the physical consequences of this assumption. working within a large class of asymptotically flat spacetimes we show that the adm linear momentum is gov... | arxiv:1909.06135 |
we present the cardinal mock galaxy catalogs, a new version of the buzzard simulation that has been updated to support ongoing and future cosmological surveys, including des, desi, and lsst. these catalogs are based on a one - quarter sky simulation populated with galaxies out to a redshift of $ z = 2. 35 $ to a depth ... | arxiv:2303.12104 |
the emergence of cnns in mainstream deployment has necessitated methods to design and train efficient architectures tailored to maximize the accuracy under diverse hardware & latency constraints. to scale these resource - intensive tasks with an increasing number of deployment targets, once - for - all ( ofa ) proposed... | arxiv:2104.12642 |
human brain possesses the ability to effectively focus on important environmental components, which enhances perception, learning, reasoning, and decision - making. inspired by this cognitive mechanism, we introduced a novel concept termed relevance for human - robot collaboration ( hrc ). relevance is a dimensionality... | arxiv:2409.13998 |
environmental sound classification ( esc ) is an important and challenging problem. in contrast to speech, sound events have noise - like nature and may be produced by a wide variety of sources. in this paper, we propose to use a novel deep convolutional neural network for esc tasks. our network architecture uses stack... | arxiv:1808.08405 |
this paper explores the problem of matching entities across different knowledge graphs. given a query entity in one knowledge graph, we wish to find the corresponding real - world entity in another knowledge graph. we formalize this problem and present two large - scale datasets for this task based on exiting cross - o... | arxiv:1903.06607 |
a hallmark of graph neural networks is their ability to distinguish the isomorphism class of their inputs. this study derives hardness results for the classification variant of graph isomorphism in the message - passing model ( mpnn ). mpnn encompasses the majority of graph neural networks used today and is universal w... | arxiv:2005.06649 |
this paper analyzes different models for evaluating investments in energy storage systems ( ess ) in power systems with high penetration of renewable energy sources ( res ). first of all, two methodologies proposed in the literature are extended to consider ess investment : a unit commitment model that uses the system ... | arxiv:1810.09539 |
we investigate the electronic structure and properties of atoms exposed to a magnetic quadrupole field. the spin - spatial as well as generalized time reversal symmetries are established and shown to lead to a two - fold degeneracy of the electronic states in the presence of the field. low - lying as well as highly exc... | arxiv:physics/0402109 |
stack overflow ( so ) is the most popular question - and - answer website for software developers, providing a large amount of code snippets and free - form text on a wide variety of topics. like other software artifacts, questions and answers on so evolve over time, for example when bugs in code snippets are fixed, co... | arxiv:1811.00804 |
an ensemble monte carlo method is used to study the spin injection through a ferromagnet - semiconductor junction where a schottky barrier is formed. it is shown that the schottky - barrier - induced electric field which is confined in the depletion region and parallel to the injection direction, is very large. this el... | arxiv:cond-mat/0506251 |
two fundamental problems for extraterrestrial intelligences ( etis ) attempting to establish interstellar communication are timing and energy consumption. humanity ' s study of exoplanets via their transit across the host star highlights a means of solving both problems. an eti ' a ' can communicate with eti ' b ' if b... | arxiv:1707.03730 |
the nonequilibrium thermodynamics of an open ( classical or quantum ) system in strong contact with a single heat bath can be conveniently described in terms of the hamiltonian of mean force. however, the conventional formulation is limited by the necessity to measure differences in equilibrium properties of the system... | arxiv:2001.08917 |
we compute, for the four - dimensional su ( 4 ) and su ( 6 ) gauge theories formulated on a lattice, the string tensions sigma _ k related to sources with z _ n charge k, using monte carlo simulations. our results are compatible with sigma _ k \ propto sin ( k pi / n ), and show sizeable deviations from casimir scaling... | arxiv:hep-lat/0110101 |
we propose a multi - scale extension of conformal prediction, an approach that constructs prediction sets with finite - sample coverage guarantees under minimal statistical assumptions. classic conformal prediction relies on a single notion of conformity, overlooking the multi - level structures that arise in applicati... | arxiv:2502.05565 |
context : the systems comprising a system of systems ( sos ) are inde - pendently acquired, operated, and managed. frequently, the architecture documentation of these existing systems addresses only a stand - alone perspective, and must be augmented to address concerns that arise in the integrated sos. objective : we e... | arxiv:1801.06837 |
by the theory of elliptic curves, we study the nontrivial rational parametric solutions and rational solutions of the diophantine equations $ z ^ 2 = f ( x ) ^ 2 \ pm f ( y ) ^ 2 $ for some simple laurent polynomials $ f $. | arxiv:1608.03810 |
we prove that, given a constant $ k > 2 $ and a bounded linear operator $ t $ from a jb $ ^ * $ - triple $ e $ into a complex hilbert space $ h $, there exists a norm - one functional $ \ psi \ in e ^ * $ satisfying $ $ \ | t ( x ) \ | \ leq k \, \ | t \ | \, \ | x \ | _ { \ psi }, $ $ for all $ x \ in e $. applying th... | arxiv:1903.08931 |
paper deals with the singular sturm - liouville expressions $ $ l ( y ) = - ( py ' ) ' + qy $ $ on a finite interval with coefficients $ $ q = q ', \ quad 1 / p, q / p, q ^ 2 / p \ in l _ 1, $ $ where derivative of the function $ q $ is understood in the sense of distributions. due to a new regularization corresponding... | arxiv:1002.4371 |
a covariant, composite scalar diquark, fadde ' ev amplitude model for the nucleon is used to calculate pseudoscalar, isoscalar - and isovector - vector, axial - vector and scalar nucleon form factors. the last yields the nucleon sigma - term and on - shell sigma - nucleon coupling. the calculated form factors are soft,... | arxiv:nucl-th/9911068 |
we prove that bernoulli convolutions are absolutely continuous provided the parameter lambda is an algebraic number sufficiently close to 1 depending on the mahler measure of lambda. | arxiv:1602.00261 |
in the present study, we show calculation of nonlinear compton scattering with circularly polarized photons in a cylindrical coordinate using feynman diagram to calculate photon vortex generation in intermediate states considering conservation of angular momentum. we take two different vortex wave functions based on be... | arxiv:2412.04709 |
this paper studies strategic decentralization in binary choice composite network congestion games. a player decentralizes if she lets some autonomous agents to decide respectively how to send different parts of her stock from the origin to the destination. this paper shows that, with convex, strictly increasing and dif... | arxiv:1506.03479 |
numerous children diagnosed with autism spectrum disorder ( asd ) exhibit abnormal eye gaze pattern in communication and social interaction. due to the high cost of asd interventions and a shortage of professional therapists, researchers have explored the use of virtual reality ( vr ) systems as a supplementary interve... | arxiv:2310.13482 |
the paper is a second step in the study of $ \ overline { m } _ { 0, n } $ started in arxiv : 1006. 0987 [ math. ag ]. we study fiber type morphisms of this moduli space via kapranov ' s beautiful description. our final goal is to understand if any dominant morphism $ f : \ overline { m } _ { 0, n } \ to x $ with posit... | arxiv:1105.3293 |
stimulated emission can be defined as the process when an incoming photon stimulates an additional quantum of energy from an atom into the same electromagnetic mode as the impinging photon. hence, the two outgoing photons are identical. in a waveguide or free space, this intuition is typically found through fermi ' s g... | arxiv:1806.04862 |
to provide stable and high data rate wireless access for passengers in the train, it is necessary to properly deploy base stations along the railway. we consider this issue from the perspective of service, which is defined as the integral of the time - varying instantaneous channel capacity. with large - scale fading a... | arxiv:1311.6272 |
we develop quenched chiral perturbation theory for vector mesons made of light quarks, in the limit where the vector meson masses are much larger than the pion mass. we use this theory to extract the leading nonanalytic dependence of the vector meson masses on the masses of the light quarks. by comparing with analogous... | arxiv:hep-ph/9610532 |
3d gaussian splatting ( 3dgs ) has recently emerged as a promising 3d representation. much research has been focused on reducing its storage requirements and memory footprint. however, the needs to compress and transmit the 3dgs representation to the remote side are overlooked. this new application calls for rate - dis... | arxiv:2503.00357 |
. { \ textstyle e ^ { \ pi { \ sqrt { 58 } } } = 396 ^ { 4 } - 104. 000000177 \ dots. } this might be compared to heegner numbers, which have class number 1 and yield similar formulae. ramanujan ' s series for π converges extraordinarily rapidly and forms the basis of some of the fastest algorithms used to calculate π.... | https://en.wikipedia.org/wiki/Srinivasa_Ramanujan |
deep learning - based joint source - channel coding ( jscc ) has shown excellent performance in image and feature transmission. however, the output values of the jscc encoder are continuous, which makes the constellation of modulation complex and dense. it is hard and expensive to design radio frequency chains for tran... | arxiv:2206.07008 |
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