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we present an in - depth multi - scale analysis of the conformations and dynamics of polar active polymers, comparing very dilute and very dense conditions. we unveil characteristic length and time scales, common to both dilute and dense systems, that recapitulate the conformational and dynamical properties of these ac... | arxiv:2404.08425 |
we present new milliarcsecond resolution observations of the h1 absorption against the kiloparsec scale inner jet of the radio galaxy 3c293. using a combination of observations obtained with global vlbi, merlin and the vla we have imaged the strong and extensive neutral hydrogen absorption against the radio core and je... | arxiv:astro-ph/0501540 |
despite deep learning ( dl ) has achieved remarkable progress in various domains, the dl models are still prone to making mistakes. this issue necessitates effective debugging tools for dl practitioners to interpret the decision - making process within the networks. however, existing debugging methods often demand extr... | arxiv:2310.07184 |
in this work we introduce the use of tin / ti2 n layers as a back contact for lifted - off membranes of anodic ta3n5 nanotube layers. in photoelectrochemical h2 generation experiments under simulated am 1. 5g light, shift of the onset potential for anodic photocurrents to lower potentials is observed, as well as a high... | arxiv:1610.04169 |
power spectra always play an important role in the theory of inflation. in particular, the ability to reproduce the galaxy matter power spectrum and the cmb temperature angular power spectrum coefficients to high accuracy is often considered a triumph of inflation. in our previous work, we presented an alternative expl... | arxiv:1910.02990 |
the frequency dependence of the self energy of a general many - - body problem is identified as a main obstacle in correlation calculations based on local approaches. a frequency independent formulation is proposed instead and proven to yield exactly the same numerical results as the original common scheme. our approac... | arxiv:cond-mat/0408325 |
we prove that the resonances of long range perturbations of the ( semiclassical ) laplacian are the zeroes of natural perturbation determinants. we more precisely obtain factorizations of these determinants of the form $ \ prod _ { w = { \ rm resonances } } ( z - w ) \ exp ( \ varphi _ p ( z, h ) ) $ and give semiclass... | arxiv:0709.2060 |
at what level does selective pressure effectively act? when considering the reproductive dynamics of interacting and mutating agents, it has long been debated whether selection is better understood by focusing on the individual or if hierarchical selection emerges as a consequence of joint adaptation. despite longstand... | arxiv:2310.20386 |
meson - baryon couplings between positive and negative parity baryons are investigated using two point correlation functions in the soft meson limit. we find that the pi nn ^ * coupling vanishes due to chiral symmetry, while the eta nn ^ * coupling remains finite. we perform an analysis based on the algebraic method fo... | arxiv:hep-ph/9707307 |
we consider the task of data - driven identification of dynamical systems, specifically for systems whose behavior at large frequencies is non - standard, as encoded by a non - trivial relative degree of the transfer function or, alternatively, a non - trivial index of a corresponding realization as a descriptor system... | arxiv:2410.02000 |
in 1992 professor ryszard r \ c { a } czka started to work on formulation of a version of the standard model conformally coupled with gravity. being his student i had got the honour to participate in those researches. the conformally invariant higgs - free model was the result of our investigations. ryszard r \ c { a }... | arxiv:hep-ph/9610539 |
the $ \ ell $ - deck of a graph $ g $ is the multiset of all induced subgraphs of $ g $ on $ \ ell $ vertices. we say that a graph is reconstructible from its $ \ ell $ - deck if no other graph has the same $ \ ell $ - deck. in 1957, kelly showed that every tree with $ n \ ge3 $ vertices can be reconstructed from its $... | arxiv:2103.13359 |
mobile manipulator platforms, like the stretch re1 robot, make the promise of in - home robotic assistance feasible. for people with severe physical limitations, like those with quadriplegia, the ability to tele - operate these robots themselves means that they can perform physical tasks they cannot otherwise do themse... | arxiv:2304.02771 |
in this article, we construct two one - parameter families of properly embedded minimal surfaces in a three - dimensional lie group $ \ widetilde { e ( 2 ) } $, which is the universal covering of the group of rigid motions of euclidean plane endowed with a left - invariant riemannian metric. the first one can be seen a... | arxiv:2203.16206 |
we use the taylor - wiles - kisin patching method to investigate the multiplicities with which galois representations occur in the mod $ \ ell $ cohomology of shimura curves over totally real number fields. our method relies on explicit computations of local deformation rings done by shotton, which we use to compute th... | arxiv:1902.06878 |
in this paper, we give precise description for the lowest lowest two - sided cell c _ { 0 } and the left cells in it for a weighted coxeter group of rank 3. then we show conjectures p1 - p15 and \ widetilde { p } hold for c _ { 0 } and do some calculation for the based ring of c _ { 0 }. | arxiv:1901.00161 |
a realistic tight - binding model is developed and employed to elucidate the resistivity size effect due to steps on ru thin films. the resistivity of two different film orientations, $ ( 0001 ) $ and $ ( 1 \ bar { 1 } 00 ) $, is computed for transport along a $ [ 1 1 \ bar { 2 } 0 ] $ direction both for smooth surface... | arxiv:2108.09424 |
in this paper, we present a novel hemispherical antenna array ( haa ) designed for high - altitude platform stations ( haps ). a significant limitation of traditional rectangular antenna arrays for haps is that their antenna elements are oriented downward, resulting in low gains for distant users. cylindrical antenna a... | arxiv:2409.03474 |
we explore the phenomena of absorption / emission of solitons by an integrable boundary for the nonlinear schr \ " odinger equation on the half - line. this is based on the investigation of time - dependent reflection matrices which satisfy the boundary zero curvature equation. in particular, this leads to absorption /... | arxiv:2206.13978 |
judging the significance and reproducibility of quantitative research requires a good understanding of relevant uncertainties, but it is often unclear how well these have been evaluated and what they imply. reported scientific uncertainties were studied by analysing 41000 measurements of 3200 quantities from medicine, ... | arxiv:1612.00778 |
this paper presents the solution of our team apex in the meta kdd cup 2024 : crag comprehensive rag benchmark challenge. the crag benchmark addresses the limitations of existing qa benchmarks in evaluating the diverse and dynamic challenges faced by retrieval - augmented generation ( rag ) systems. it provides a more c... | arxiv:2409.15337 |
the synthesis of ultrasmall ( 2 - 5 nm ) nanodiamonds purely from adamantane at pressure of 12 gpa is reported. their structural features have been studied by raman spectroscopy. the unusual vibration band containing a number of pronounced maxima at about 1147, 1245, 1344, and 1456 cm - 1 was detected in raman spectra.... | arxiv:2207.10874 |
non - orthogonal multiple access ( noma ) is a promising technology for next - generation wireless communication systems due to its enhanced spectral efficiency. in this paper, we consider an uplink noma system operating together with a high - dimensional absorptive reconfigurable intelligent surface ( a - ris ). we ai... | arxiv:2408.16786 |
a new method is proposed to predict the topological properties of one - dimensional periodic structures in wave physics, including quantum mechanics. from bloch waves, a unique complex valued function is constructed, exhibiting poles and zeros. the sequence of poles and zeros of this function is a topological invariant... | arxiv:2309.12280 |
we study 2d discrete integrable equations of order 1 with respect to one independent variable and $ m $ with respect to another one. a generalization of the multidimensional consistency property is proposed for this type of equations. the examples are related to the b \ " acklund - - darboux transformations for the lat... | arxiv:1310.0981 |
the global caching gain of multi - antenna coded caching techniques can be also mostly achieved in dynamic network setups, where the cache contents of users are dictated by a central server, and each user can freely join or leave the network at any moment. in the dynamic setup, users are assigned to a limited set of ca... | arxiv:2203.12295 |
possible. the uplifted solutions for equal $ su ( 2 ) $ gauge couplings to eleven dimensions are also given. | arxiv:1503.04997 |
magnetic resonance imaging ( mri ) experiments have been performed in conjunction with direct numerical simulations ( dns ) to study neutrally buoyant particle - laden pipe flows. the flows are characterized by the suspension liquid reynolds number ( $ re _ s $ ), based on the bulk liquid velocity and suspension viscos... | arxiv:2308.12100 |
we prove a characterization of profinite algebras, i. e., topological algebras that are isomorphic to a projective limit of finite discrete algebras. in general profiniteness concerns both the topological and algebraic characteristics of a topological algebra, whereas for topological groups, rings, semigroups, and dist... | arxiv:1506.00212 |
this paper is brief review of three aspects of the isotope - based quantum information : computation, teleportation and cryptography. our results demonstrate not only that entanglement exists in elementary excitation of isotope - mixed solids but also it can be used for quantum information processing. | arxiv:0909.0820 |
the high energy stereoscopic system ( h. e. s. s. ) is an array of five imaging atmospheric cherenkov telescopes ( iacts ) to study gamma - ray emission from astrophysical objects in the southern hemisphere. it is the only hybrid array of iacts, composed of telescopes with different collection areas and footprints, ind... | arxiv:2306.02716 |
the coded caching scheme is an efficient technique as a solution to reduce the wireless network burden during the peak times in a device - to - device ( d2d in short ) communications. in a coded caching scheme, each file block should be divided into $ f $ packets. it is meaningful to design a coded caching scheme with ... | arxiv:1712.06212 |
calabi - - yau compactifications of the $ e _ 8 \ times e _ 8 $ heterotic string provide a promising route to recovering the four - dimensional particle physics described by the standard model. while the topology of the calabi - - yau space determines the overall matter content in the low - energy effective field theor... | arxiv:2407.13836 |
in this study, a path - based statistical static timing analysis ( ssta ) is formulated as a problem within the statistics of correlated extremes. for extreme value statistics with correlations, a novel approach to studying such systems, when the correlations are small, is developed. the approach considers a system fro... | arxiv:2401.03559 |
in addition, our work has text overlap with arxiv : 1804. 06242, arxiv : 1705. 00938 by other authors. we want to rewrite this paper for avoiding this fact. | arxiv:1808.02373 |
in this paper, we introduce a new combinatorial curvature on triangulated surfaces with inversive distance circle packing metrics. then we prove that this combinatorial curvature has global rigidity. to study the yamabe problem of the new curvature, we introduce a combinatorial ricci flow, along which the curvature evo... | arxiv:1701.01795 |
we prove that any simply connected non - compact semisimple lie group $ g $ admits an infinite - dimensional irreducible representation $ \ pi $ with bounded multiplicity property of the restriction $ \ pi | _ { g ' } $ for all symmetric pairs $ ( g, g ' ) $. we also discuss which irreducible representations $ \ pi $ s... | arxiv:2210.13146 |
as internet of things devices become prevalent, using intrusion detection to protect iot from malicious intrusions is of vital importance. however, the data scarcity of iot hinders the effectiveness of traditional intrusion detection methods. to tackle this issue, in this paper, we propose the adaptive bi - recommendat... | arxiv:2303.14317 |
a hypertree is a connected hypergraph without cycles. further a hypertree is called an $ r $ - tree if, additionally, it is $ r $ - uniform. note that 2 - trees are just ordinary trees. a classical result states that for any 2 - tree $ t $ with characteristic polynomial $ \ phi _ t ( \ lambda ) $ and matching polynomia... | arxiv:2306.16247 |
the statistical properties of fluid particles transported by a fully developed turbulent flow are investigated by means of high resolution direct numerical simulations. single trajectory statistics is investigated in a time range spanning more than three decades, from less than a tenth of the kolmogorov timescale up to... | arxiv:nlin/0402032 |
layered superatomic semiconductors, whose buildings blocks are atomically precise molecular clusters, exhibit interesting electronic and vibrational properties. in recent work [ science 382, 438 ( 2023 ) ], transient reflection microscopy revealed quasi - ballistic exciton dynamics in re6se8cl2, which was attributed to... | arxiv:2401.14312 |
a magnetized large - volume liquid scintillator might be used as a tracking detector with charge identification to measure high - energy neutrinos. i consider neutrino oscillations for a beam from a low - energy neutrino factory to such a detector for the baseline cern - pyhasalmi, with the length of 2288 km. the range... | arxiv:0912.2611 |
ultra - high resolution synchrotron diffraction data for $ \ rm gdbaco _ 2o _ { 5. 5 } $ throw new light on the metal - insulator transition of co $ ^ { 3 + } $ ba - cobaltites. an anomalous expansion of coo $ _ 6 $ octahedra is observed at the phase transition on heating, while coo $ _ 5 $ pyramids show the normal shr... | arxiv:cond-mat/0203378 |
we present the phase diagram, the underlying stability and magnetic properties as well as the dynamics of nonlinear solitary wave excitations arising in the distinct phases of a harmonically confined spinor $ f = 1 $ bose - einstein condensate. particularly, it is found that nonlinear excitations in the form of dark - ... | arxiv:2008.00475 |
two hybrid quantum - classical reservoir computing models are presented to reproduce low - order statistical properties of a two - dimensional turbulent rayleigh - b \ ' enard convection flow at a rayleigh number ra = 1e + 5 and a prandtl number pr = 10. these properties comprise the mean vertical profiles of the root ... | arxiv:2307.03053 |
topological crystalline insulators ( tcis ) host topological phases of matter protected by crystal symmetries. topological surface states in three - dimensional tcis have been predicted and observed in iv - vi snte - class semiconductors. despite the prediction of a two - dimensional ( 2d ) tci characterized by two pai... | arxiv:2410.06661 |
we present a study of orientational relaxation dynamics in thin films of a low - molecular - weight glass - former as a function of temperature and film thickness. the relaxation is probed by second - harmonic generation after release of a poling electric field. from the measured decays of the second - harmonic signal ... | arxiv:cond-mat/0402656 |
one classical topic in the study of local cohomology is whether the non - vanishing of a specific local cohomology module is equivalent to the vanishing of its annihilator ; this has been studied by several authors, including huneke, koh, lyubeznik and lynch. motivated by questions raised by lynch and zhang, the goal o... | arxiv:1511.07780 |
in a recent paper ( arxiv : math - ph / 0609076 ) the authors investigated the basic global geometry of congruence moduli curves and shape curves of 3 - body motions with vanishing angular momentum. here the study is extended to the case of planary 3 - body motions in general. in particular, the results on the separati... | arxiv:math-ph/0609084 |
multi - object tracking from rgb - d video sequences is a challenging problem due to the combination of changing viewpoints, motion, and occlusions over time. we observe that having the complete geometry of objects aids in their tracking, and thus propose to jointly infer the complete geometry of objects as well as tra... | arxiv:2012.08197 |
filopodia are long, finger - like membrane tubes supported by cytoskeletal filaments. their shape is determined by the stiffness of the actin filament bundles found inside them and by the interplay between the surface tension and bending rigidity of the membrane. although one might expect the euler buckling instability... | arxiv:0803.0349 |
this paper analyzes the discrete energy laws associated with first - order system least - squares ( fosls ) discretizations of time - dependent partial differential equations. using the heat equation and the time - dependent stokes ' equation as examples, we discuss how accurately a fosls finite - element formulation a... | arxiv:1709.00385 |
for an arbitrary discrete probability - measure - preserving groupoid $ g $, we provide a characterization of property ( t ) for $ g $ in terms of the groupoid von neumann algebra $ l ( g ) $. more generally, we obtain a characterization of relative property ( t ) for a subgroupoid $ h \ subset g $ in terms of the incl... | arxiv:1708.01763 |
prostate cancer. three monoclonal antibodies ( t16, c26, and ae - 1 ), capable of recognizing membrane and cytoskeletal antigens expressed by epithelial cells to detect tumour cells, were used in the assay. bone marrow aspirates of 22 % of patients with localized prostate cancer ( stage b, 0 / 5 ; stage c, 2 / 4 ), and... | https://en.wikipedia.org/wiki/Hybridoma_technology |
ordinary differential equations obtained as limits of markov processes appear in many settings. they may arise by scaling large systems, or by averaging rapidly fluctuating systems, or in systems involving multiple time - scales, by a combination of the two. motivated by models with multiple time - scales arising in sy... | arxiv:1208.3783 |
a new model about cascading occurrences caused by perturbation is established to search after the mechanism because of which catastrophes in networks occur. we investigate the avalanche dynamics of our model on 2 - dimension euclidean lattices and scale - free networks and find out the avalanche dynamic behaviors is ve... | arxiv:cond-mat/0406575 |
we describe the signatures of a circularly polarized gravitational - wave background on the timing residuals obtained with pulsar - timing arrays. most generally, the circular polarization will depend on the gravitational - wave direction, and we describe this angular dependence in terms of spherical harmonics. while t... | arxiv:2004.05480 |
the present contribution documents the harmony of postulates and conclusions of wheeler - feynman absorber theory and the model of expansive nondecelerative universe. a relationship connecting advanced electromagnetic waves and gravitational field quanta is rationalized. | arxiv:physics/0104066 |
inspired by the importance of both communication and feedback on errors in human learning, our main goal was to implement a similar mechanism in supervised learning of artificial neural networks. the starting point in our study was the observation that words should accompany the input vectors included in the training s... | arxiv:1309.5676 |
we classify $ 5 $ - manifolds with fundamental group $ \ mathbb z $ and $ \ pi _ { 2 } $ a finitely generated abelian group in terms of the cup product on the second cohomology of the universal covering. the classification result is applied to study simple knots $ k \ colon s ^ { 3 } \ subset s ^ { 5 } $ and the questi... | arxiv:1411.1521 |
in this work we propose a method for optimizing the lossy compression for a network of diverse reconstruction systems. we focus on adapting a standard image compression method to a set of candidate displays, presenting the decompressed signals to viewers. each display is modeled as a linear operator applied after decom... | arxiv:1802.03937 |
the atmospheres of close - in planets are strongly influenced by mass loss driven by the high - energy ( x - ray and extreme ultraviolet, euv ) irradiation of the host star, particularly during the early stages of evolution. we recently developed a framework to exploit this connection and enable us to recover the past ... | arxiv:1910.09877 |
we consider the stochastic cgl equation $ $ \ dot u - \ nu \ delta u + ( i + a ) | u | ^ 2u = \ eta ( t, x ), \ ; \ ; \ ; \ text { dim } \, x = n, $ $ where $ \ nu > 0 $ and $ a \ ge 0 $, in a cube ( or in a smooth bounded domain ) with dirichlet boundary condition. the force $ \ eta $ is white in time, regular in $ x ... | arxiv:1205.0755 |
automated creation of synthetic traffic scenarios is a key part of validating the safety of autonomous vehicles ( avs ). in this paper, we propose scenario diffusion, a novel diffusion - based architecture for generating traffic scenarios that enables controllable scenario generation. we combine latent diffusion, objec... | arxiv:2311.02738 |
we study the consensus formation for an agents based model, generalizing that originally proposed by krause \ cite { kr }, by allowing the communication channels between any couple of agents to be switched on or off randomly, at each time step, with a probability law depending on the proximity of the agents ' opinions.... | arxiv:2204.05689 |
the basic concepts and equations of newtonian cosmology are presented in the form necessary for the derivation and analysis of the averaged navier - stokes - poisson equations. a particular attention is paid to the physical and cosmological hypotheses about the structure of newtonian universes. the system of the navier... | arxiv:gr-qc/0212071 |
we concisely review the recent evolution in the study of parafermions - - exotic emergent excitations that generalize majorana fermions and similarly underpin a host of novel phenomena. first we illustrate the intimate connection between z _ 3 - symmetric " spin " chains and one - dimensional parafermion lattice models... | arxiv:1504.02476 |
about three million hadronic decays of the z collected by aleph in the years 1991 - 1994 are used to search for anomalous cp violation beyond the standard model in the decay z - > b \ bar { b } g. the study is performed by analyzing angular correlations between the two quarks and the gluon in three - jet events and by ... | arxiv:hep-ex/9608001 |
the spectral gap of local random quantum circuits is a fundamental property that determines how close the moments of the circuit ' s unitaries match those of a haar random distribution. when studying spectral gaps, it is common to bound these quantities using tools from statistical mechanics or via quantum information ... | arxiv:2408.11201 |
it is generally argued that material classes with inversion symmetry do not produce bulk dipole related second harmonic generation ( shg ). so, shg is then either ascribed to surface effects or bulk related electric quadrupole or magnetic dipole effects. using symmetry and \ emph { ab - initio } potentials we show anal... | arxiv:1203.3042 |
we analyze a modified kinetic ising model, so called $ q $ - neighbor ising model, with metropolis dynamics, [ phys. rev. e 92, 052105 ], on a duplex clique and a partially duplex clique. in the $ q $ - neighbor ising model each spin interacts only with $ q $ spins randomly chosen from its whole neighborhood. in the ca... | arxiv:1611.07938 |
the development of automatic segmentation techniques for medical imaging tasks requires assessment metrics to fairly judge and rank such approaches on benchmarks. the dice similarity coefficient ( dsc ) is a popular choice for comparing the agreement between the predicted segmentation against a ground - truth mask. how... | arxiv:2302.05432 |
we apply the stationary phase method developed in ( assier, shanin \ & korolkov, qjmam, 76 ( 1 ), 2022 ) to the problem of wave diffraction by a quarter - plane. the wave field is written as a double fourier transform of an unknown spectral function. we make use of the analytical continuation results of ( assier \ & sh... | arxiv:2310.18031 |
we report on a highly - efficient experimental scheme for the generation of deep - ultraviolet ultrashort light pulses using four - wave mixing in gas - filled kagom \ ' e - style photonic crystal fiber. by pumping with ultrashort, few $ \ mu $ j, pulses centered at 400 nm, we generate an idler pulse at 266 nm, and amp... | arxiv:1907.10959 |
an orthotropic metamaterial is composed of elements arrayed periodically in space. the element includes two cuboid structures. the first structure is the basic structure of the element, and the second structure is the transformation of the first structure of the element. the first structure of the element is a cuboid s... | arxiv:2205.14176 |
using a two potential approach, dyon solutions have been found in the temporal and non - temporal gauges for a non - abelian theory. both the charges, electric and magnetic, of the temporal dyon solution are topological, while for the non - temporal case both charges are partially topological. | arxiv:1406.5002 |
fitch graphs $ g = ( x, e ) $ are digraphs that are explained by $ \ { \ emptyset, 1 \ } $ - edge - labeled rooted trees $ t $ with leaf set $ x $ : there is an arc $ ( x, y ) \ in e $ if and only if the unique path in $ t $ that connects the last common ancestor $ \ mathrm { lca } ( x, y ) $ of $ x $ and $ y $ with $ ... | arxiv:1911.07469 |
when an endomorphism $ f : x \ to x $ of a projective variety which is polarized by an ample line bundle $ l $, i. e. such that $ f ^ * l \ simeq l ^ { \ otimes d } $ with $ d \ geq2 $, is defined over a number field, call and silverman defined a canonical height $ \ widehat { h } _ f $ for $ f $. in a family $ ( \ mat... | arxiv:2307.11243 |
the controllability condition for finite dimensional quantum systems, the lie algebra rank condition, has been stated assuming that the right invariant differential system under consideration is bilinear. we remark that this assumption is not necessary and discuss the extension to the general case. | arxiv:quant-ph/0301144 |
we prove that an almost zero - dimensional space $ x $ is an erd \ h { o } s space factor if and only if $ x $ has a sierpi \ ' { n } ski stratification of c - sets. we apply this characterization to spaces which are countable unions of c - set erd \ h { o } s space factors. we show that the erd \ h { o } s space $ \ m... | arxiv:2009.05874 |
solid usually becomes harder and tougher under compression, and turns softer at elevated temperature. recently, compression - induced softening and heating - induced hardening ( cishih ) dual anomaly was predicted in group vb elements such as vanadium. here, the evidence for this counterintuitive phenomenon is reported... | arxiv:2201.13085 |
we introduce the muscel program ( multiwavelength observations of the structure, chemistry and evolution of lsb galaxies ), a project aimed at determining the star - formation histories of low surface brightness galaxies. muscel utilizes ground - based optical spectra and space - based uv and ir photometry to fully con... | arxiv:1507.03011 |
a lie groupoid principal $ \ mbbx $ bundle is a surjective submersion $ \ pi \ colon p \ to m $ with an action of $ \ mathbb { x } $ on $ p $ with certain additional conditions. this paper offers a suitable definition for the notion of a connection on such bundles. although every lie groupoid $ \ mathbb { x } $ has its... | arxiv:2502.02284 |
there is a significant conceptual gap between legal and mathematical thinking around data privacy. the effect is uncertainty as to which technical offerings adequately match expectations expressed in legal standards. the uncertainty is exacerbated by a litany of successful privacy attacks, demonstrating that traditiona... | arxiv:1904.06009 |
we establish a number of uncertainty inequalities for the additive group of a finite affine plane, showing that for $ p $ prime, a nonzero function $ f \ colon \ mathbb f _ p ^ 2 \ to \ mathbb c $ and its fourier transform $ \ hat f \ colon \ widehat { \ mathbb f _ p ^ 2 } \ to \ mathbb c $ cannot have small supports s... | arxiv:1808.07424 |
the gr \ " obner basis technique for calculating feynman diagrams proposed in [ o. v. tarasov, acta physica polonica, v. b29 ( 1998 ) 2655 ] is applied to the two - loop propagator type integrals with arbitrary masses and momentum. we describe the derivation of gr \ " obner bases for all integrals with 1pi topologies a... | arxiv:hep-ph/0403253 |
the objective of this article is to give an effective algebraic characterization of normal crossing hypersurfaces in complex manifolds. it is shown that a hypersurface has normal crossings if and only if it is a free divisor, has a radical jacobian ideal and a smooth normalization. using k. saito ' s theory of free div... | arxiv:1201.6276 |
we provide some analytical tests of the density of states estimation from the " localization landscape " approach of ref. [ phys. rev. lett. 116, 056602 ( 2016 ) ]. we consider two different solvable models for which we obtain the distribution of the landscape function and argue that the precise spectral singularities ... | arxiv:2001.01310 |
we study the nonlinear behaviors of mass - spring systems damped by dry friction using simulation by a nonlinear lc circuit damped by anti - parallel diodes. we show that the differential equation for the electric oscillator is equivalent to the mechanical one ' s when a piecewise linear model is used to simplify the d... | arxiv:1804.05762 |
real - world time series often have multiple frequency components that are intertwined with each other, making accurate time series forecasting challenging. decomposing the mixed frequency components into multiple single frequency components is a natural choice. however, the information density of patterns varies acros... | arxiv:2502.06910 |
the photon and 3he analyzing powers as well as spin correlation coefficients in the semiexclusive three - body photodisintegration of 3he are investigated for incoming photon laboratory energies e = 12, 40 and 120 mev. the nuclear states are obtained by solving three - body faddeev equations with the av18 nucleon - nuc... | arxiv:nucl-th/0506074 |
we present a novel approach designed to address the complexities posed by challenging, out - of - distribution data in the single - image depth estimation task. starting with images that facilitate depth prediction due to the absence of unfavorable factors, we systematically generate new, user - defined scenes with a c... | arxiv:2407.16698 |
the presence of scaling variables in experimental observables provide very valuable indications of the dynamics underlying a given physical process. in the last years, the search for geometric scaling, that is the presence of a scaling variable which encodes all geometrical information of the collision as well as other... | arxiv:1405.2177 |
we report the first ground - based transit observation of k2 - 3d, a 1. 5 r _ earth planet supposedly within the habitable zone around a bright m - dwarf host star, using the okayama 188 cm telescope and the multi ( grz ) - band imager muscat. although the depth of the transit ( 0. 7 mmag ) is smaller than the photomet... | arxiv:1610.01333 |
this paper focuses on a drift - diffusion system subjected to boundedly non dissipative robin boundary conditions. a general existence result with large initial conditions is established by using suitable l1, l2 and trace estimates. finally, two examples coming from the corrosion and the self - gravitation model are an... | arxiv:1810.00851 |
minimizing finite automata, proving trace equivalence of labelled transition systems or representing sofic subshifts involve very similar arguments, which suggests the possibility of a unified formalism. we propose finite states non - deterministic transducer as a lingua franca for automata theory, transition systems, ... | arxiv:2502.06450 |
in the following paper we will consider navier - stokes problem and it ' s interpretation by hyperbolic waves, focusing on wave propagation. we will begin with solution for linear waves, then present problem for non - linear waves. later we will derive for numerical solution using pde ' s. also we will design a matlab ... | arxiv:1601.05695 |
security vulnerability in third - party dependencies is a growing concern not only for developers of the affected software, but for the risks it poses to an entire software ecosystem, e. g., heartbleed vulnerability. recent studies show that developers are slow to respond to the threat of vulnerability, sometimes takin... | arxiv:1907.03407 |
weakly - bound co2 - rg2 trimers are studied by high resolution ( 0. 002 cm - 1 ) infrared spectroscopy in the region of the co2 nu3 fundamental band ( ~ 2350 cm - 1 ), using a tunable opo to probe a pulsed supersonic slit jet expansion with an effective rotational temperature of about 2 k. co2 - ar2 spectra have been ... | arxiv:2210.12797 |
let $ \ phi ( z ) = ( \ phi _ 1 ( z ),..., \ phi _ n ( z ) ) $ be a holomorphic self - map of $ b _ n $ and $ \ psi ( z ) $ a holomorphic function on $ b _ n $, and $ h ( b _ n ) $ the class of all holomorphic functions on $ b _ n $, where $ b _ n $ is the unit ball of $ c ^ n $, the weight composition operator $ w _ {... | arxiv:0709.1431 |
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