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in this paper we present a framework for the extension of the preferential attachment ( pa ) model to heterogeneous complex networks. we define a class of heterogeneous pa models, where node properties are described by fixed states in an arbitrary metric space, and introduce an affinity function that biases the attachm... | arxiv:0710.5281 |
it is assumed, in general, that the electromagnetic spectrum in the primordial universe was a blackbody spectrum in vacuum. we derive the electromagnetic spectrum, based on the fluctuation - dissipation theorem that describes the electromagnetic fluctuations in a plasma. our description includes thermal and collisional... | arxiv:astro-ph/9708246 |
in this paper, we perform deep neural networks for learning $ \ psi $ - weakly dependent processes. such weak - dependence property includes a class of weak dependence conditions such as mixing, association, $ \ cdots $ and the setting considered here covers many commonly used situations such as : regression estimation... | arxiv:2302.00333 |
inspired by the lee - wick higher - derivative approach to quantum field theory, grinstein, o ' connell, and wise have illustrated the utility of introducing into the standard model negative - norm states that cancel quadratic divergences in loop diagrams, thus posing a potential resolution of the hierarchy problem. su... | arxiv:1205.3213 |
the talbot effect, epitomized by periodic revivals of a freely evolving periodic field structure, has been observed with waves of diverse physical nature in space and separately in time, whereby diffraction underlies the former and dispersion the latter. to date, a combined spatio - temporal talbot effect has not been ... | arxiv:2102.06769 |
let $ k $ denote a field and let $ v $ denote a vector space over $ k $ with finite positive dimension. we consider an ordered pair of linear transformations $ a : v \ to v $ and $ a ^ * : v \ to v $ that satisfy conditions ( i ), ( ii ) below. ( i ) there exists a basis for $ v $ with respect to which the matrix repre... | arxiv:math/0306301 |
we investigate collective thomson scattering ( cts ) in two - stream non - equilibrium plasmas analytically, numerically and experimentally. in laboratory astrophysics, cts is a unique tool to obtain local plasma diagnostics. while the standard cts theory assumes plasmas to be linear, stationary, isotropic and equilibr... | arxiv:2210.11382 |
we experimentally demonstrate a novel nonlinear effect in optical fibers : upconversion luminescence generation excited by multiphoton absorption of femtosecond infrared pulses. we directly estimate the average number of photons involved in the up - conversion process, by varying the wavelength of the pump source. we h... | arxiv:2009.12459 |
courses, and degrees. many mathematicians distinguish between " applied mathematics ", which is concerned with mathematical methods, and the " applications of mathematics " within science and engineering. a biologist using a population model and applying known mathematics would not be doing applied mathematics, but rat... | https://en.wikipedia.org/wiki/Applied_mathematics |
the results of the x - ray, microscopic, magnetic, and dielectric measurements performed for pfn single crystals and ceramic samples are presented. the influence of the technological conditions on selected physical properties of the materials examined is shown. | arxiv:cond-mat/0209289 |
this belongs to a series of papers motivated by ballmann ' s higher rank rigidity conjecture. we prove the following. let $ x $ be a cat ( 0 ) space with a geometric group action. suppose that every geodesic in $ x $ lies in an $ n $ - flat, $ n \ geq 2 $. if $ x $ contains a periodic $ n $ - flat which does not bound ... | arxiv:2212.07092 |
we study first - passage properties for a particle that diffuses either inside or outside of generalized paraboloids, defined by y = a ( x _ 1 ^ 2 +... + x _ { d - 1 } ^ 2 ) ^ { p / 2 } where p > 1, with absorbing boundaries. when the particle is inside the paraboloid, the survival probability s ( t ) generically decay... | arxiv:1009.2530 |
proof, that the area of a cone was 1 / 3 the area of a cylinder with the same base, a result which was later proved by eudoxus of cnidus. = = = = mathematics in the time of plato = = = = while plato was not a mathematician himself, numerous early mathematicians, including archytas, theaetetus, and eudoxus, were associa... | https://en.wikipedia.org/wiki/Ancient_Greek_mathematics |
about conway ' s surreal numbers : a letter to a friend ( written in french ). in memoriam john horton conway. | arxiv:2101.11790 |
for a field $ f $ and a given integer $ n > 1 $, goncharov has given a complex $ \ gamma _ f ( n ) $ which he calls motivic and which he expects to rationally compute the weight $ n $ motivic cohomology of $ \ text { spec } f $, and hence its algebraic $ k $ - groups in adams weight $ n $, and he was also led to - - - ... | arxiv:1801.07816 |
we revisit the treatment of identical particles in quantum mechanics. two kinds of solutions of schr \ " { o } dinger equation are found and analyzed. first, the known symmetrized and antisymmetrized eigenfunctions. we examine how the very concept of particle is blurred whithin this approach. second, we propose another... | arxiv:1411.1631 |
the challenge of designing an efficient medium access control ( mac ) protocol and analyzing it has been an important research topic for over 30 years. this paper focuses on the performance analysis ( through simulation ) and modification of a well known mac protocol csma / cd. the existing protocol does not consider t... | arxiv:0907.0678 |
we present an automatic method to identify galaxy mergers using the morphological information contained in the residual images of galaxies after the subtraction of a sersic model. the removal of the bulk signal from the host galaxy light is done with the aim of detecting the fainter minor mergers. the specific morpholo... | arxiv:1109.6828 |
productive interactions between diverse users and language technologies require outputs from the latter to be culturally relevant and sensitive. prior works have evaluated models ' knowledge of cultural norms, values, and artifacts, without considering how this knowledge manifests in downstream applications. in this wo... | arxiv:2406.11565 |
in mathematics, a matrix ( pl. : matrices ) is a rectangular array or table of numbers, symbols, or expressions, with elements or entries arranged in rows and columns, which is used to represent a mathematical object or property of such an object. for example, [ 1 9 β 13 20 5 β 6 ] { \ displaystyle { \ begin { bmatrix ... | https://en.wikipedia.org/wiki/Matrix_(mathematics) |
we present a new approach to bayesian inference that entirely avoids markov chain simulation, by constructing a map that pushes forward the prior measure to the posterior measure. existence and uniqueness of a suitable measure - preserving map is established by formulating the problem in the context of optimal transpor... | arxiv:1109.1516 |
we have trapped a gas of long - lifetime, high - mobility excitons in an in - plane harmonic potential. trapping is an important step toward the goal of a controlled bose - einstein condensate of excitons. we show that the repulsive interaction between the excitons plays a dominant role in the behavior of the excitons,... | arxiv:cond-mat/0607163 |
we study the scattering of magnon boundstates in the spin - chain description of planar n = 4 susy yang - mills. starting from the conjectured exact s - matrix for magnons in the su ( 2 ) sector, we calculate the corresponding s - matrix for boundstates with an arbitrary number of constituent magnons. the resulting exp... | arxiv:hep-th/0608047 |
in this note, we compute the group of automorphisms of projective, affine and euclidean geometries in the sense of klein. as an application, we give a simple construction of the outer automorphism of s _ 6. | arxiv:0901.3928 |
solar jets are fast - moving, elongated brightenings related to ejections seen in both images and spectra on all scales from barely visible chromospheric jets to coronal jets extending up to a few solar radii. the largest, most powerful jets are the source of type iii radio bursts, energetic electrons and ions with gre... | arxiv:1603.03258 |
we prove that the number of directions contained in a set of the form $ a \ times b \ subset ag ( 2, p ) $, where $ p $ is prime, is at least $ | a | | b | - \ min \ { | a |, | b | \ } + 2 $. here $ a $ and $ b $ are subsets of $ gf ( p ) $ each with at least two elements and $ | a | | b | < p $. this bound is tight fo... | arxiv:2001.06994 |
we present a brief description of a model for the broad emission line region ( belr ) in quasars, which is supported by analysis of civ and other emission lines in the spectra of high - z sdss quasars. specifically we consider a two - component belr with a disk and wind where the relative strength of each component is ... | arxiv:1201.2595 |
we present a detailed description of the wavelength, astrometric and photometric calibration plan for sitelle, the imaging fourier transform spectrometer attached to the canada - france - hawaii telescope, based on observations of a red ( 647 - 685 nm ) data cube of the central region ( 11 $ ' \ times 11 ' $ ) of the a... | arxiv:1707.01366 |
in this paper, using the weierstrass - enneper formula and the hodographic coordinate system, we find the relationships between the ramanujan identity and the generalized class of scherk surfaces known as affine scherk surfaces. we find the dirichlet series expansion of the affine scherk surface. we also obtain some of... | arxiv:2003.05277 |
a ". the expressions " a includes x " and " a contains x " are also used to mean set membership, although some authors use them to mean instead " x is a subset of a ". logician george boolos strongly urged that " contains " be used for membership only, and " includes " for the subset relation only. for the relation β, ... | https://en.wikipedia.org/wiki/Element_(mathematics) |
we present multi - epoch high - angular resolution observations of 22 ghz h2o masers toward the silicate carbon star eu and to probe the spatio - kinematic distribution of oxygen - rich material. eu and was observed at three epochs ( maximum time interval of 14 months ) with the very long baseline array ( vlba ). our v... | arxiv:0712.2395 |
due to the new carbon neutral policies, many district heating operators start operating their combined heat and power ( chp ) plants using different types of biomass instead of fossil fuel. the contracts with the biomass suppliers are negotiated months in advance and involve many uncertainties from the energy producer ... | arxiv:1810.10764 |
given a graph $ h $, a graph $ g $ is called $ h $ - critical if $ g $ does not admit a homomorphism to $ h $, but any proper subgraph of $ g $ does. observe that $ k _ { k - 1 } $ - critical graphs are the standard $ k $ - ( colour ) - critical graphs. we consider questions of extremal nature previously studied for $ ... | arxiv:1610.03685 |
we give a new proof of the completeness of the space $ \ mathcal { o } _ c $ by applying a criterion of compact regularity for the isomorphic sequence space $ \ lim _ { k \ rightarrow } ( s \ hat \ otimes ( \ ell ^ \ infty ) _ { - k } ) $. along the way we show that the strong dual of any quasinormable fr \ ' echet spa... | arxiv:2408.11944 |
we propose a novel adaptive design for clinical trials with time - to - event outcomes and covariates ( which may consist of or include biomarkers ). our method is based on the expected entropy of the posterior distribution of a proportional hazards model. the expected entropy is evaluated as a function of a patient ' ... | arxiv:1502.03813 |
the development of robust architectures capable of large - scale fault - tolerant quantum computation should consider both their quantum error - correcting codes, and the underlying physical qubits upon which they are built, in tandem. following this design principle we demonstrate remarkable error correction performan... | arxiv:2104.09539 |
conditional independence in a multivariate normal ( or gaussian ) distribution is characterized by the vanishing of subdeterminants of the distribution ' s covariance matrix. gaussian conditional independence models thus correspond to algebraic subsets of the cone of positive definite matrices. for statistical inferenc... | arxiv:0910.5447 |
physicists seeking to understand complex biological systems often find it rewarding to create simple " toy models " that reproduce system behavior. here a toy model is used to understand a puzzling phenomenon from the sport of track and field. races are almost always won, and records set, in 400 m and 800 m running eve... | arxiv:1204.0313 |
safety - critical data, such as crash and near - crash records, are crucial to improving autonomous vehicle ( av ) design and development. sharing such data across av companies, academic researchers, regulators, and the public can help make all avs safer. however, av companies rarely share safety - critical data extern... | arxiv:2504.17792 |
improved in order to achieve a sustainable food supply chain. food engineers must reevaluate current practices and technologies to focus on increasing productivity and efficiency while reducing the consumption of water and energy, and decreasing the amount of waste produced. = = = population growth = = = even though fo... | https://en.wikipedia.org/wiki/Food_engineering |
examinations using small sample sizes before allowing the manuscripts to be published. nature human behaviour has adopted the registered report format, as it β shift [ s ] the emphasis from the results of research to the questions that guide the research and the methods used to answer them β. european journal of person... | https://en.wikipedia.org/wiki/Preregistration_(science) |
a new configurational temperature thermostat suitable for molecules with holonomic constraints is derived. this thermostat has a simple set of motion equations, can generate the canonical ensemble in both position and momentum space, acts homogeneously through the spatial coordinates, and does not intrinsically violate... | arxiv:0709.1575 |
the magnitude and phase of the transmission amplitude of a multi - level quantum dot is calculated for the mesoscopic regime of level spacing large compared to level width. the interplay between kondo correlations and the influence by neighboring levels is discussed. as in the single - level case, the kondo plateaus of... | arxiv:0805.3145 |
a model of an information system describes its processes and how resources are involved in these processes to manipulate data objects. this paper presents an extension to the petri nets formalism suitable for describing information systems in which states refer to object instances of predefined types and resources are ... | arxiv:2212.07363 |
we present optical measurements of phononic excitations in la $ _ { 2 / 3 } $ ca $ _ { 1 / 3 } $ mno $ _ { 3 } $ ( lcmo ) and la $ _ { 2 / 3 } $ sr $ _ { 1 / 3 } $ mno $ _ { 3 } $ ( lsmo ) thin films covering the full temperature range from the metallic ferromagnetic to the insulating paramagnetic phase. all eight phon... | arxiv:cond-mat/0404024 |
we discuss the form of the chiral anomaly on an s1 / z2 orbifold with chiral boundary conditions. we find that the 4 - divergence of the higher - dimensional current evaluated at a given point in the extra dimension is proportional to the probability of finding the chiral zero mode there. nevertheless the anomaly, appr... | arxiv:hep-th/0103135 |
soft robots promise improved safety and capability over rigid robots when deployed in complex, delicate, and dynamic environments. however, the infinite degrees of freedom and highly nonlinear dynamics of these systems severely complicate their modeling and control. as a step toward addressing this open challenge, we a... | arxiv:2011.07939 |
multivariate outcomes are common in pragmatic cluster randomized trials. while sample size calculation procedures for multivariate outcomes exist under parallel assignment, none have been developed for a stepped wedge design. in this article, we present computationally efficient power and sample size procedures for ste... | arxiv:2206.11978 |
superagile is the hard x - ray monitor of the agile gamma ray mission, in orbit since 23 $ ^ { rd } $ april 2007. it is an imaging experiment based on a set of four independent silicon strip detectors, equipped with one - dimensional coded masks, operating in the nominal energy range 18 - 60 kev. the main goal of super... | arxiv:0910.4895 |
high - quality layers of the ( ga, mn ) ( bi, as ) quaternary compound semiconductor have been grown by the low - temperature molecular - beam epitaxy technique. an effect of bi incorporation into the ( ga, mn ) as ferromagnetic semiconductor and the post - growth annealing treatment of the layers have been investigate... | arxiv:1406.4992 |
outer satellites of the planets have distant, eccentric orbits that can be highly inclined or even retrograde relative to the equatorial planes of their planets. these irregular orbits cannot have formed by circumplanetary accretion and are likely products of early capture from heliocentric orbit. the irregular satelli... | arxiv:astro-ph/0605041 |
we study distributions of differences of unscaled riemann zeta zeros, $ \ gamma - \ gamma ' $, at large. we show, that independently of the location of the zeros, their differences have similar statistical properties. the distributions of differences are skewed towards the nearest zeta zero, have local maximum of varia... | arxiv:2001.05294 |
we calculate the nucleon axial form factor up to the leading one - loop order in a covariant chiral effective field theory with the $ \ delta ( 1232 ) $ resonance as an explicit degree of freedom. we fit the axial form factor to the latest lattice qcd data and pin down the relevant low - energy constants. the lattice q... | arxiv:1708.08776 |
these lecture notes accompanied the course time - frequency analysis given at the faculty of mathematics of the university of vienna in the summer term 2021. the material is suitable for an advanced undergraduate course in mathematics or a mathematics class for phd students. besides standard linear algebra and calculus... | arxiv:2204.01596 |
we consider a planar brownian motion starting from $ o $ at time $ t = 0 $ and stopped at $ t = 1 $ and a set $ f = \ { oi _ i ; i = 1, 2,..., n \ } $ of $ n $ semi - infinite straight lines emanating from $ o $. denoting by $ g $ the last time when $ f $ is reached by the brownian motion, we compute the probability la... | arxiv:cond-mat/0302269 |
robustness is a fundamental pillar of machine learning ( ml ) classifiers, substantially determining their reliability. methods for assessing classifier robustness are therefore essential. in this work, we address the challenge of evaluating corruption robustness in a way that allows comparability and interpretability ... | arxiv:2206.13405 |
in analogy with the classical theory of filters, for finitely complete categories, we provide the concepts of filter, g - neighborhood ( short for \ grothendieck - neighborhood " ) and cover - neighborhood of a point, with the aim of studying convergence, cluster point and closure of sieves on objects of that kind of c... | arxiv:1910.09423 |
global organization of 3 - dimensional ( 3d ) lagrangian chaotic transport is difficult to infer without extensive computation. for 3d time - periodic flows with one invariant we show how constraints on deformation that arise from volume - preservation and periodic lines result in resonant degenerate points that period... | arxiv:1911.04607 |
making use of self - assembly techniques, we demonstrate the realization of nanoscopic semiconductor quantum rings in which the electronic states are in the true quantum limit. we employ two complementary spectroscopic techniques to investigate both the ground states and the excitations of these rings. applying a magne... | arxiv:cond-mat/9908263 |
aiming at the current problems of theory - oriented, practice - light, and lack of innovation ability in the teaching of postgraduate software engineering courses, a multi - stage feedback teaching mode for software engineering postgraduates based on competition project _ driven is proposed. the model is driven by the ... | arxiv:2212.09394 |
the problem of grounding vqa tasks has seen an increased attention in the research community recently, with most attempts usually focusing on solving this task by using pretrained object detectors. however, pre - trained object detectors require bounding box annotations for detecting relevant objects in the vocabulary,... | arxiv:2105.04836 |
hybrid entangled states prove to be necessary for quantum information processing within heterogeneous quantum networks. a method with irreducible number of consumed resources that firmly provides hybrid cv - dv entanglement for any input conditions of the experimental setup is proposed. namely, a family of cv states is... | arxiv:2101.02117 |
most existing point cloud completion methods are only applicable to partial point clouds without any noises and outliers, which does not always hold in practice. we propose in this paper an end - to - end network, named cs - net, to complete the point clouds contaminated by noises or containing outliers. in our cs - ne... | arxiv:2203.09772 |
the edge - reconstruction number ern $ ( g ) $ of a graph $ g $ is equal to the minimum number of edge - deleted subgraphs $ g - e $ of $ g $ which are sufficient to determine $ g $ up to isomorphsim. building upon the work of molina and using results from computer searches by rivshin and more recent ones which we carr... | arxiv:1312.1234 |
period - colour ( pc ) and amplitude - colour ( ac ) relations at maximum, mean and minimum light are constructed from a large grid of full amplitude hydrodynamic models of cepheids with a composition appropriate for the smc ( small magellanic cloud ). we compare these theoretical relations with those from observations... | arxiv:0706.2629 |
we consider the calculation of the master integrals of the three - loop massive banana graph. in the case of equal internal masses, the graph is reduced to three master integrals which satisfy an irreducible system of three coupled linear differential equations. the solution of the system requires finding a $ 3 \ times... | arxiv:1704.05465 |
we outline our work ( see [ 1, 2, 3, 4 ] ) on relaxation and 3d - 2d passage with determinant type constraints. some open questions are addressed. this outline - paper comes as a companion to [ 5 ]. | arxiv:0906.5262 |
ggr news : we hear that..., by david garfinkle what ' s new in ligo, by david shoemaker news from nsf, by pedro marronetti citation counts and indicies : beware of bad data, by clifford will research briefs : results from planck, by william jones conference reports : gravity - strings and higher dimensions, by simon ro... | arxiv:1309.6370 |
non - intrusive inspection systems based on x - ray radiography techniques are routinely used at transport hubs to ensure the conformity of cargo content with the supplied shipping manifest. as trade volumes increase and regulations become more stringent, manual inspection by trained operators is less and less viable d... | arxiv:1606.08078 |
we extend the usual vacuum metric - affine $ f ( r ) $ gravity by supplementing it with all parity even quadratic invariants in torsion and non - metricity. as we show explicitly this supplementation drastically changes the status of the theory which now propagates an additional scalar degree of freedom on top of the g... | arxiv:2409.11771 |
in this paper, we learn to classify visual object instances, incrementally and via self - supervision ( self - incremental ). our learner observes a single instance at a time, which is then discarded from the dataset. incremental instance learning is challenging, since longer learning sessions exacerbate forgetfulness,... | arxiv:2301.11417 |
given the current limited knowledge of meteor plasma micro - physics and its interaction with the surrounding atmosphere and ionosphere, meteors are a highly interesting observational target for high - resolution wide - field astronomical surveys. such surveys are capable of resolving the physical size of meteor plasma... | arxiv:1707.07223 |
the boundary charge that accumulates at the edge of a one - dimensional single - channel insulator is known to possess the universal property, that its change under a lattice shift towards the edge by one site is given by the sum of the average bulk electronic density and a topologically invariant contribution, restric... | arxiv:2107.10787 |
we show that failure of local realism can be revealed to observers for whom only extremely coarse - grained measurements are available. in our instances, bell ' s inequality is violated even up to the maximum limit while both the local measurements and the initial local states under scrutiny approach the classical limi... | arxiv:0806.3558 |
the illinois accelerator research center ( iarc ) hosts a new accelerator development program at fermi national accelerator laboratory. iarc provides access to fermi ' s state - of - the - art facilities and technologies for research, development and industrialization of particle accelerator technology. in addition to ... | arxiv:1705.00073 |
electronic transport and magnetic properties of ge1 - xmnx / ge ( 100 ) films are investigated as a function of mn dilution. depending on x, characteristic temperatures separate different regimes in both properties. resistivity exhibits an insulator - like behavior in the whole temperature range and, below about 80 k, ... | arxiv:cond-mat/0509111 |
we report highly tunable control of holes in ge / si core / shell nanowires ( nws ). we demonstrate the ability to create single quantum dots ( qds ) of various sizes, with low hole occupation numbers and clearly observable excited states. for the smallest dot size we observe indications of single - hole occupation. mo... | arxiv:1805.02532 |
the finiteness problem for automaton groups and semigroups has been widely studied, several partial positive results are known. however we prove that, in the most general case, the problem is undecidable. we study the case of automaton semigroups. given a nw - deterministic wang tile set, we construct an mealy automato... | arxiv:1304.2295 |
as a generalization of postnikov ' s construction ( see arxiv : math / 0609764 ), we define a map from the space of edge weights of a directed network in an annulus into a space of loops in the grassmannian. we then show that universal poisson brackets introduced for the space of edge weights in arxiv : 0805. 3541 indu... | arxiv:0901.0020 |
in this note we present some results concerning the unirationality of the algebraic variety $ \ cal { s } _ { f } $ given by the equation \ begin { equation * } n _ { k / k } ( x _ { 1 } + \ alpha x _ { 2 } + \ alpha ^ 2 x _ { 3 } ) = f ( t ), \ end { equation * } where $ k $ is a number field, $ k = k ( \ alpha ) $, $... | arxiv:1305.6242 |
a consistent combination of covariant density functional theory ( cdft ) and landau - migdal theory of finite fermi systems ( tffs ) is presented. both methods are in principle exact, but landau - migdal theory cannot describe ground state properties and density functional theory does not take into account the energy d... | arxiv:0909.1276 |
in this paper we construct an analytical separation ( diagonalization ) of the full ( minimal coupling ) dirac equation into particle and antiparticle components. the diagonalization is analytic in that it is achieved without transforming the wave functions, as is done by the foldy - wouthuysen method, and reveals the ... | arxiv:quant-ph/0405151 |
a simplified derivation of yurtsever ' s result, which states that the entropy of a truncated bosonic fock space is given by a holographic bound when the energy of the fock states is constrained gravitationally, is given for asymptotically flat spacetimes with arbitrary dimension d greater or equal to four. for this pu... | arxiv:hep-th/0409046 |
the nucleosynthesis in the first massive stars may be constrained by observing the surface composition of long - lived very iron - poor stars born around 10 billion years ago from material enriched by their ejecta. many interesting clues on physical processes having occurred in the first stars can be obtained just base... | arxiv:1602.04122 |
in this paper we discuss the stability of geodesic spheres in $ \ mathbb { s } ^ { n + 1 } $ under constrained curvature flows. we prove that under some standard assumptions on the speed and weight functions, the spheres are stable under perturbations that preserve a volume type quantity. this extends results by escher... | arxiv:1601.04986 |
. likewise, a negative speed ( rate of change of displacement ) implies a velocity in the opposite direction, i. e., receding instead of advancing ; a special case is the radial speed. in 3d space, notions related to sign can be found in the two normal orientations and orientability in general. = = = signedness in comp... | https://en.wikipedia.org/wiki/Sign_(mathematics) |
we estimate some mixed $ l ^ { p } \ left ( l ^ { 2 } \ right ) $ norms of the discrepancy between the volume and the number of integer points in $ r \ omega - x $, a dilated by a factor $ r $ and translated by a vector $ x $ of a convex body $ \ omega $ in $ \ mathbb { r } ^ { d } $, $ \ left \ { { \ int _ { \ mathbb ... | arxiv:1706.04419 |
style is a significant component of natural language text, reflecting a change in the tone of text while keeping the underlying information the same. even though programming languages have strict syntax rules, they also have style. code can be written with the same functionality but using different language features. h... | arxiv:2209.06273 |
we address the challenging problem of jointly inferring the 3d flow and volumetric densities moving in a fluid from a monocular input video with a deep neural network. despite the complexity of this task, we show that it is possible to train the corresponding networks without requiring any 3d ground truth for training.... | arxiv:2302.14470 |
in this paper, we investigate the relative power of several conjectures that attracted recently lot of interest. we establish a connection between the network coding conjecture ( ncc ) of li and li and several data structure like problems such as non - adaptive function inversion of hellman and the well - studied probl... | arxiv:2102.09294 |
we investigate holographically the entanglement entropy of a nonconformal medium whose dual geometry is described by an einstein - maxwell - dilaton theory. due to an additional conserved charge corresponding to the number operator, its thermodynamics can be represented in a grandcanonical or canonical ensemble. we stu... | arxiv:1501.02908 |
a quantum measurement model based upon restricted path - integrals allows us to study measurements of generalized position in various one - dimensional systems of phenomenological interest. after a general overview of the method we discuss the cases of a harmonic oscillator, a bistable potential and two coupled systems... | arxiv:quant-ph/9709004 |
inspired by dickson ' s classification of regular ternary quadratic forms, we prove that there are no primitive regular $ m $ - gonal forms when $ m $ is sufficiently large. in order to do so, we construct sequences of primes that are inert in a certain quadratic field and show that they satisfy a certain inequality bo... | arxiv:1905.01423 |
the concept of cross diffusion is applied to some biological systems. the conditions for persistence and turing instability in the presence of cross diffusion are derived. many examples including : predator - prey, epidemics ( with and without delay ), hawk - dove - retaliate and prisoner ' s dilemma games are given. | arxiv:nlin/0404021 |
the r package optimall offers a collection of functions that efficiently streamline the design process of sampling in surveys ranging from simple to complex. the package ' s main functions allow users to interactively define and adjust strata cut points based on values or quantiles of auxiliary covariates, adaptively c... | arxiv:2106.09494 |
we explore an optimal partition problem on surfaces using a computational approach. the problem is to minimise the sum of the first dirichlet laplace - - beltrami operator eigenvalues over a given number of partitions of a surface. we consider a method based on eigenfunction segregation and perform calculations using m... | arxiv:1408.2355 |
we address the problem of evaluating the quality of self - supervised learning ( ssl ) models without access to supervised labels, while being agnostic to the architecture, learning algorithm or data manipulation used during training. we argue that representations can be evaluated through the lens of expressiveness and... | arxiv:2206.01251 |
we theoretically investigate the origin of the square - type skyrmion crystal in centrosymmetric itinerant magnets, motivated from the recent experimental finding in gdru $ _ 2 $ si $ _ 2 $ [ n. d. khanh $ \ mathit { et } $ $ \ mathit { al. } $, nat. nanotech. $ \ mathbf { 15 } $, 444 ( 2020 ) ]. by simulated annealing... | arxiv:2010.14671 |
in this paper we propose and analyze three parallel hybrid extragradient methods for finding a common element of the set of solutions of equilibrium problems involving pseudomonotone bifunctions and the set of fixed points of nonexpansive mappings in a real hilbert space. based on parallel computation we can reduce the... | arxiv:1512.07296 |
we investigate the statistical properties of isotropic, stochastic, gaussian distributed, helical magnetic fields characterized by different shapes of the energy spectra at large length scales and study the associated realizability condition. we discuss smoothed magnetic fields that are commonly used when the primordia... | arxiv:1804.01177 |
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