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atmospheric tomography, the problem of reconstructing atmospheric turbulence profiles from wavefront sensor measurements, is an integral part of many adaptive optics systems used for enhancing the image quality of ground - based telescopes. singular - value and frame decompositions of the underlying atmospheric tomogra... | arxiv:2405.01079 |
we prove howe duality for the theta correspondence arising from the $ p $ - adic dual pair $ g _ 2 \ times ( \ text { pu } _ 3 \ rtimes \ mathbb { z } / 2 \ mathbb { z } ) $ inside the adjoint quasi - split group of type $ e _ 6 $. | arxiv:2112.02760 |
the cauchy problem for first order system $ l ( t, x, \ d _ t, \ d _ x ) $ is known to be well posed in $ l ^ 2 $ when a it admits a microlocal symmetrizer $ s ( t, x, \ xi ) $ which is smooth in $ \ xi $ and lipschitz continuous in $ ( t, x ) $. this paper contains three main results. first we show that a lipsshitz sm... | arxiv:1310.4760 |
autism spectrum disorder is a neurodevelopmental condition that includes issues with communication and social interactions. people with asd also often have restricted interests and repetitive behaviors. in this paper we build preliminary bricks of an automated gesture imitation game that will aim at improving social in... | arxiv:2007.04604 |
the spectra of 413 star - forming ( or hii ) regions in m33 ( ngc 598 ) were observed by using the multifiber spectrograph of hectospec at the 6. 5 - m multiple mirror telescope ( mmt ). by using this homogeneous spectra sample, we measured the intensities of emission lines and some physical parameters, such as electro... | arxiv:1704.06935 |
we study the spectral properties of the linearized euler operator obtained by linearizing the equations of incompressible two dimensional fluid at a steady state with the vorticity that contains only two nonzero complex conjugate fourier modes. we prove that the essential spectrum coincides with the imaginary axis, and... | arxiv:math/0107125 |
given the hard problem of consciousness ( chalmers, 1995 ) there are no brain electrophysiological correlates of the subjective experience ( the felt quality of redness or the redness of red, the experience of dark and light, the quality of depth in a visual field, the sound of a clarinet, the smell of mothball, bodily... | arxiv:2101.10056 |
the atomic cluster expansion ( ace ) [ r. drautz, phys. rev. b, 99 : 014104 ( 2019 ) ] provides a systematically improvable, universal descriptor for the environment of an atom that is invariant to permutation, translation and rotation. ace is being used extensively in newly emerging interatomic potentials based on mac... | arxiv:2308.06462 |
we show that a light charged higgs boson signal via $ \ tau ^ \ pm \ nu $ decay can be established at the large hadron collider ( lhc ) also in the case of single top production. this process complements searches for the same signal in the case of charged higgs bosons emerging from $ t \ bar t $ production. the models ... | arxiv:1207.4071 |
in recent years, the incidence of depression is rising rapidly worldwide, but large - scale depression screening is still challenging. gait analysis provides a non - contact, low - cost, and efficient early screening method for depression. however, the early screening of depression based on gait analysis lacks sufficie... | arxiv:2201.01115 |
ldpc codes constructed from permutation matrices have recently attracted the interest of many researchers. a crucial point when dealing with such codes is trying to avoid cycles of short length in the associated tanner graph, i. e. obtaining a possibly large girth. in this paper, we provide a framework to obtain constr... | arxiv:2201.11112 |
consider a nonlinear wave equation for a massless scalar field with self - interaction in the spatially flat friedmann - lema \ ^ { i } tre - robertson - walker spacetimes. for the case of accelerated expansion, we show that blow - up in a finite time occurs for the equation with arbitrary power nonlinearity as well as... | arxiv:2103.01219 |
continuous control deep reinforcement learning ( rl ) approaches are known to suffer from estimation biases, leading to suboptimal policies. this paper introduces innovative methods in rl, focusing on addressing and exploiting estimation biases in actor - critic methods for continuous control tasks, using deep double q... | arxiv:2402.09078 |
a mobility edge ( me ) in energy separating extended from localized states is a central concept in understanding various fundamental phenomena like the metal - insulator transition in disordered systems. in one - dimensional quasiperiodic systems, there exist a few models with exact mes, and these models are beneficial... | arxiv:2012.09756 |
there are only two known kinds of zero - capacity channels. the first kind produces entangled states that have positive partial transpose, and the second one - states that are cloneable. we consider the family of ' hybrid ' quantum channels, which lies in the intersection of the above classes of channels and investigat... | arxiv:1207.1084 |
we suggest a geometrical mechanism for the ordering of slender filaments inside non - isotropic containers, using cortical microtubules in plant cells and packing of viral genetic material inside capsids as concrete examples. we show analytically how the shape of the cell affects the ordering of phantom, non - self - a... | arxiv:1910.08171 |
we study the time evolution of an atom suddenly coupled to a thermal radiation field. as a simplified model of the atom - electromagnetic field system we use a system composed by a harmonic oscillator linearly coupled to a scalar field in the framework of the recently introduced dressed coordinates and dressed states. ... | arxiv:0705.1028 |
in recent years, there have been a surge in ubiquitous technologies such as smartwatches and fitness trackers that can track the human physical activities effortlessly. these devices have enabled common citizens to track their physical fitness and encourage them to lead a healthy lifestyle. among various exercises, wal... | arxiv:2006.02348 |
graph partitioning plays a pivotal role in various distributed graph processing applications, including graph analytics, graph neural network training, and distributed graph databases. graphs that require distributed settings are often too large to fit in the main memory of a single machine. this challenge renders trad... | arxiv:2312.08356 |
a new class of solutions to the coupled, spherically symmetric einstein - maxwell equations for a compact material source is constructed. some of these solutions can be made to satisfy a number of requirements for being physically relevant, including having a causal speed of sound. in the case of vanishing charge these... | arxiv:0910.3230 |
this is a modest attempt to study, in a systematic manner, the structure of low dimensional varieties in positive characteristics using $ p $ - adic invariants. the main objects of interest in this paper are surfaces and threefolds. it is known that there are many ( counter ) examples of ` pathological ' or unexpected ... | arxiv:1403.6402 |
recent calculations of charge symmetry violation ( csv ) in the valence quark distributions of the nucleon have revealed that the dominant symmetry breaking contribution comes from the mass associated with the spectator quark system. assuming that the change in the spectator mass can be treated perturbatively, we deriv... | arxiv:nucl-th/9803017 |
it is widely recognized that collaboration between the public and private research sectors should be stimulated and supported, as a means of favoring innovation and regional development. this work takes a bibliometric approach, based on co - authorship of scientific publications, to propose a model for comparative meas... | arxiv:1811.01813 |
quantum key distribution ( qkd ) is an important area in quantum information theory. nowadays, there are many protocols such as bb84 protocol, lo - chau ' s protocol and gr10 protocol. they usually require legitimated parties have the ability to create particles, using a sifting procedures ( bb84, gr10 ), or must destr... | arxiv:2107.01960 |
recently, adversarial deception becomes one of the most considerable threats to deep neural networks. however, compared to extensive research in new designs of various adversarial attacks and defenses, the neural networks ' intrinsic robustness property is still lack of thorough investigation. this work aims to qualita... | arxiv:1905.04270 |
we discuss the coherent search strategy to detect gravitational waves from inspiraling compact binaries by a network of correlated laser interferometric detectors. from the maximum likelihood ratio statistic, we obtain a coherent statistic which is slightly different from and generally better than what we obtained in o... | arxiv:gr-qc/0702019 |
let $ g $ be a finite solvable group, let $ p $ be a prime such that $ p \ geq 5 $ and $ o _ p ( g ) = 1 $, and we denote $ | g | _ p = p ^ n $, then $ g $ contains a block of defect less than or equal to $ \ lfloor \ frac { 3n } 5 \ rfloor $. let $ g $ be a finite solvable group and let $ p ^ a $ be the largest power ... | arxiv:1208.4022 |
chronic diseases can greatly benefit from bioelectronic medicine approaches. neuromorphic electronic circuits present ideal characteristics for the development of brain - inspired low - power implantable processing systems that can be interfaced with biological systems. these circuits, therefore, represent a promising ... | arxiv:2102.09630 |
various models have been proposed to incorporate knowledge of syntactic structures into neural language models. however, previous works have relied heavily on elaborate components for a specific language model, usually recurrent neural network ( rnn ), which makes themselves unwieldy in practice to fit into other neura... | arxiv:2203.10256 |
we consider the problem of tabular infinite horizon concave utility reinforcement learning ( curl ) with convex constraints. for this, we propose a model - based learning algorithm that also achieves zero constraint violations. assuming that the concave objective and the convex constraints have a solution interior to t... | arxiv:2109.05439 |
automated vehicles ( avs ) are tested in diverse scenarios, typically specified by parameters such as velocities, distances, or curve radii. to describe scenarios uniformly independent of such parameters, this paper proposes a vectorized scenario description defined by the road geometry and vehicles ' trajectories. dat... | arxiv:2302.01161 |
the updated cdf measurement of the forward - backward asymmetry ( fba ) in the top quark production p { bar p } - > t { bar t } at tevatron ( with the cms energy 1. 96 tev ) shows a deviation of 2 * sigma from the value predicted by the standard qcd model. we present calculation of this quantity in the scenario where c... | arxiv:1009.4165 |
peculiar velocities are an important probe of the mass distribution in the universe and the growth rate of structure, directly measuring the effects of gravity on the largest scales and providing a test for theories of gravity. comparing peculiar velocities predicted from the density field mapped by a galaxy redshift s... | arxiv:2301.12648 |
the scaling of transformers has driven breakthrough capabilities for language models. at present, the largest large language models ( llms ) contain upwards of 100b parameters. vision transformers ( vit ) have introduced the same architecture to image and video modelling, but these have not yet been successfully scaled... | arxiv:2302.05442 |
we present new solutions to the klein - gordon equation for a scalar particle in a black string spacetime immersed in an anisotropic quintessence fluid surrounded by a cloud of strings, extending the analysis presented in our previous work. these novel solutions are dependent on the quintessence state parameter, $ \ al... | arxiv:2504.17765 |
we investigate the holographic dc and hall conductivity in massive einstein - maxwell - dilaton ( emd ) gravity. two special emd backgrounds are considered explicitly. one is dyonic reissner - nordstr $ \ ddot { o } $ m - ads ( rn - ads ) geometry and the other one is hyperscaling violation ads ( hv - ads ) geometry. w... | arxiv:1504.00535 |
a common strategy for sparse linear regression is to introduce regularization, which eliminates irrelevant features by letting the corresponding weights be zeros. however, regularization often shrinks the estimator for relevant features, which leads to incorrect feature selection. motivated by the above - mentioned iss... | arxiv:1509.01004 |
in a device - to - device ( d2d ) underlaid cellular network, the uplink spectrum is reused by the d2d transmissions, causing mutual interference with the ongoing cellular transmissions. massive mimo is appealing in such a context as the base station ' s ( bs ' s ) large antenna array can nearly null the d2d - to - bs ... | arxiv:1409.2792 |
gradient boosted models are a fundamental machine learning technique. robustness to small perturbations of the input is an important quality measure for machine learning models, but the literature lacks a method to prove the robustness of gradient boosted models. this work introduces verigb, a tool for quantifying the ... | arxiv:1906.10991 |
let k be a field of characteristic 0, r = k [ x _ 1,..., x _ d ] be a polynomial ring, and m its maximal homogeneous ideal. let i be a homogeneous ideal in r. in this paper we investigate asymptotic behaviour of the quotient between the length of local cohomology group h ^ 0 _ m ( r / i ^ n ) and n ^ d. we show that th... | arxiv:math/0403370 |
let x and y be separable metrizable spaces, and f : x - - > y be a function. we want to recover f from its values on a small set via a simple algorithm. we show that this is possible if f is baire class one, and in fact we get a characterization. this leads us to the study of sets of baire class one functions and to a ... | arxiv:0710.0155 |
this work analyzes a heterogeneous network ( hetnet ), which comprises a macro base station ( bs ) equipped with a large number of antennas and an overlaid dense tier of small cell access points ( scas ) using a wireless backhaul for data traffic. the static and low mobility user equipment terminals ( ues ) are associa... | arxiv:1407.6481 |
one of the basic problems in discrete geometry is to determine the most efficient packing of congruent replicas of a given convex set $ k $ in the plane or in space. the most commonly used measure of efficiency is density. several types of the problem arise depending on the type of isometries allowed for the packing : ... | arxiv:1008.2398 |
we study the aqueous solution of vanadium pentoxide by using topology methods. the experiments by zocher, kaznacheev, and dogic exhibited, that in the sol phases of $ v _ 2o _ 5 - h _ 2o $, the tactoid droplets of $ v _ 2o _ 5 $ can coalesce. in the magnetic field, this effect is associated with a gauge field action, v... | arxiv:0704.1893 |
we introduce the third independent exactly solvable hypergeometric potential, after the eckart and the p \ " oschl - teller potentials, which is proportional to an energy - independent parameter and has a shape that is independent of this parameter. the general solution of the schr \ " odinger equation for this potenti... | arxiv:1602.07685 |
therapeutic antibodies have been extensively studied in drug discovery and development in the past decades. antibodies are specialized protective proteins that bind to antigens in a lock - to - key manner. the binding strength / affinity between an antibody and a specific antigen is heavily determined by the complement... | arxiv:2406.13162 |
coupling of the charge carriers in the high temperature superconducting oxides to bosonic modes has been widely reported using a variety of experimental probes. these include angular resolved photoemission ( arpes ), scanning tunnelling spectroscopy ( sts ), raman scattering ( rs ) and infrared optical spectroscopy ( i... | arxiv:1403.5630 |
the primary objective of this paper is to establish several sharp versions of bohr inequalities for bounded analytic functions in the unit disk $ \ mathbb { d } : = \ { z \ in \ mathbb { c } : | z | < 1 \ } $ involving multiple schwarz functions. moreover, we obtain an improved version of the classical rogosinski inequ... | arxiv:2504.19133 |
we present a systematic study of core - shell au / fe _ 3o _ 4 nanoparticles produced by thermal decomposition under mild conditions. the morphology and crystal structure of the nanoparticles revealed the presence of au core of < d > = ( 6. 9 \ pm 1. 0 ) nm surrounded by fe _ 3o _ 4 shell with a thickness of ~ 3. 5 nm,... | arxiv:1707.06099 |
we investigate the quantum transport properties of multichannel nanoribbons made of materials described by the dirac equation, under an in - plane magnetic field. in the low energy regime, positive and negative finger - gate potentials allow the electrons to make intra - subband transitions via hole - like or electron ... | arxiv:1410.5909 |
the space of constructible functions form a dense subspace of the space of generalized valuations. in this note we prove a somewhat stronger property that the sequential closure, taken sufficiently many ( in fact, infinitely many ) times, of the former space is equal to the latter one. this stronger property is necessa... | arxiv:1408.2637 |
a non - perturbative and continuous definition of rg transformations as stochastic processes is proposed, inspired by the observation that the functional rg equations for effective boltzmann factors may be interpreted as fokker - planck equations. the result implies a new approach to monte carlo rg that is amenable to ... | arxiv:1904.13057 |
prediction models that capture and use the structure of state - space dynamics can be very effective. in practice, however, one rarely has access to full information about that structure, and accurate reconstruction of the dynamics from scalar time - series data - - - e. g., via delay - coordinate embedding - - - can b... | arxiv:1503.01678 |
we study the spreading dynamics of content on networks. to do this, we use a model in which content spreads through a bounded - confidence mechanism. in a bounded - confidence model ( bcm ) of opinion dynamics, the agents of a network have continuous - valued opinions, which they adjust when they interact with agents w... | arxiv:2403.01066 |
we consider the framework of non - stationary stochastic optimization [ besbes et al, 2015 ] with squared error losses and noisy gradient feedback where the dynamic regret of an online learner against a time varying comparator sequence is studied. motivated from the theory of non - parametric regression, we introduce a... | arxiv:2010.00073 |
we classify all binomial edge ideals that are complete intersection and cohen - macaulay almost complete intersection. we also describe an algorithm and provide an implementation to compute primary decomposition of binomial edge ideals. | arxiv:1209.4972 |
after briefly reviewing the good agreement between large - scale observations and the predictions of the now - standard cdm theory and problems with the mond alternative, i summarize several of the main areas of possible disagreement between theory and observation : galaxy centers, dark matter substructure, angular mom... | arxiv:astro-ph/0609541 |
we examine the effect of compton drag on the dynamics of a relativistic shock wave. similarity solutions describing a radiation - supported shock are obtained for certain profiles of the external radiation intensity and the density of the unshocked ejecta, and are compared with 1d numerical simulations of a blast wave ... | arxiv:1707.08654 |
collaborative decision - making is an essential capability for multi - robot systems, such as connected vehicles, to collaboratively control autonomous vehicles in accident - prone scenarios. under limited communication bandwidth, capturing comprehensive situational awareness by integrating connected agents ' observati... | arxiv:2310.20491 |
\ sigma _ { z } = 1. 4 $ ), virtually destroying the mzr. as a consequence, invoking a highly stochastic sfr ( $ \ sigma _ { sfr } = 0. 8 $ ) to explain the overabundance of bright, super - early galaxies leads to inconsistencies with the observed mzr. | arxiv:2408.00061 |
ultracold fermi gases with synthetic gauge field represent an excellent platform to study the combined effect of lattice frustration and an effective magnetic flux close to one flux quantum per particle. the minimal theoretical model to accomplish this task is a system of spinless noninteracting fermions on a triangula... | arxiv:2210.16814 |
the connection between cutting sequences of geodesics on the modular surface $ \ operatorname { psl } ( 2, \ mathbb { z } ) \ backslash \ mathbb { h } $ and regular continued fractions was established by series, and heersink expanded the cross - section of the geodesic flow on the unit tangent bundle to the modular sur... | arxiv:2307.11700 |
this article identifies a gap between the existence of a various psychometric tests approaches and other team performance assessment tools ( e. g. business and management games ). as a response to the lack of tools able to utilize the knowledge about the behaviour patterns expressed in work environment and descriptive ... | arxiv:1810.09842 |
large language models ( llms ) have shown remarkable promise in communicating with humans. their potential use as artificial partners with humans in sociological experiments involving conversation is an exciting prospect. but how viable is it? here, we rigorously test the limits of agents that debate using llms in a pr... | arxiv:2402.06049 |
given a multigraph, suppose that each vertex is given a local assignment of $ k $ colours to its incident edges. we are interested in whether there is a choice of one local colour per vertex such that no edge has both of its local colours chosen. the least $ k $ for which this is always possible given any set of local ... | arxiv:1803.10962 |
in many practical tasks it is needed to estimate an effect of treatment on individual level. for example, in medicine it is essential to determine the patients that would benefit from a certain medicament. in marketing, knowing the persons that are likely to buy a new product would reduce the amount of spam. in this ch... | arxiv:1902.10327 |
jets and outflows are ubiquitous in the process of formation of stars since outflow is intimately associated with accretion. free - free ( thermal ) radio continuum emission is associated with these jets. this emission is relatively weak and compact, and sensitive radio interferometers are required to study it. observa... | arxiv:1806.06444 |
we discuss techniques for embedding a nilpotent goldstino sector both in weakly coupled type iib compactifications and f - theory models at arbitrary coupling, providing examples of both scenarios in semi - realistic compactifications. we start by showing how to construct a local embedding for the nilpotent goldstino i... | arxiv:1512.06926 |
in few - shot learning, typically, the loss function which is applied at test time is the one we are ultimately interested in minimising, such as the mean - squared - error loss for a regression problem. however, given that we have few samples at test time, we argue that the loss function that we are interested in mini... | arxiv:1911.13159 |
active energy compression scheme is presently being investigated for future laser - plasma accelerators. this method enables generating laser - plasma accelerator electron beams with a small, $ \ sim 10 ^ { - 5 } $, relative slice energy spread. when modulated by a laser pulse, such beams can produce coherent radiation... | arxiv:2406.04468 |
in this paper we continue our study of a multidimensional random walk with zero mean and finite variance killed on leaving a cone. we suggest a new approach that allows one to construct a positive harmonic function in lipschitz cones under minimal moment conditions. this approach allows one also to obtain more accurate... | arxiv:2112.10244 |
current analytic and semi - analytic dark matter halo models distinguish between the central galaxy in a halo and the satellite galaxies in halo substructures. using a recent halo - model description of the color dependence of galaxy clustering ( skibba & sheth 2008 ), we investigate the colors of central and satellite... | arxiv:0805.1233 |
the recent calculation of the four - loop beta function in qcd provides further evidence that the banks - zaks expansion in 16half - n _ f is sufficiently well behaved to be useful even for n _ f = 2 light flavours. this expansion inherently predicts " freezing " of the qcd couplant at low energies as a perturbative ef... | arxiv:hep-ph/9705319 |
dust grains play a key role in the physics of star - forming regions, even though they constitute only $ \ sim $ 1 % of the mass of the interstellar medium. the derivation of accurate dust parameters such as temperature ( $ t _ { dust } $ ), emissivity spectral index ( $ \ beta $ ) and column density requires broadband... | arxiv:1602.06927 |
we present new spectroscopic observations of a sample of globular clusters ( gcs ) in the virgo cluster elliptical ngc4365. the great majority of the objects analysed here, overlap on purpose with objects presented in two previous studies that came to contradictory conclusions. we measure lick indices for the gcs and i... | arxiv:1209.3020 |
the problem of the construction of magic squares occupied many mathematicians of the 17th century. the polish jesuit and polymath adam adamandy kocha \ ' nski studied this subject too, and in 1686 he published a paper in acta eruditorum titled " considerationes quaedam circa quadrata et cubos magicos ". in that paper h... | arxiv:2002.08915 |
we study various notions of ` subregion duality ' in the context of ads / cft. we highlight the differences between the ` background wedge ' and the ` operator reconstruction wedges, ' providing a resolution to the paradox raised in \ cite { bao : 2019hwq }. additionally, we elucidate the distinctions between four diff... | arxiv:2408.04016 |
we develop a formalism to describe the scattering of dark matter ( dm ) particles by electrons bound in crystals for a general form of the underlying dm - electron interaction. such a description is relevant for direct - detection experiments of dm particles lighter than a nucleon, which might be observed in operating ... | arxiv:2105.02233 |
topological insulators are new states of quantum matter which can not be adiabatically connected to conventional insulators and semiconductors. they are characterized by a full insulating gap in the bulk and gapless edge or surface states which are protected by time - reversal symmetry. these topological materials have... | arxiv:1008.2026 |
the jorge - meeks $ n $ - noid ( $ n \ ge 2 $ ) is a complete minimal surface of genus zero with $ n $ catenoidal ends in the euclidean 3 - space $ \ boldsymbol { r } ^ 3 $, which has $ ( 2 \ pi / n ) $ - rotation symmetry with respect to its axis. in this paper, we show that the corresponding maximal surface $ f _ n $... | arxiv:1509.05853 |
a spin one - half particle propagating in a de sitter background has a one parameter family of states which transform covariantly under the isometry group of the background. these states are the fermionic analogues of the alpha - vacua for a scalar field. we shall show how using a point - source propagator for a fermio... | arxiv:hep-th/0410229 |
it is shown that the non - trivial cocycles on simple lie algebras may be used to introduce antisymmetric multibrackets which lead to higher - order lie algebras, the definition of which is given. their generalised jacobi identities turn out to be satisfied by the antisymmetric tensors ( or higher - order ` structure c... | arxiv:hep-th/9605213 |
xml signature wrapping ( xsw ) has been a relevant threat to web services for 15 years until today. using the personal health record ( phr ), which is currently under development in germany, we investigate a current soap - based web services system as a case study. in doing so, we highlight several deficiencies in defe... | arxiv:2106.10460 |
graphene is the first model system of two - dimensional topological insulator ( ti ), also known as quantum spin hall ( qsh ) insulator. the qsh effect in graphene, however, has eluded direct experimental detection because of its extremely small energy gap due to the weak spin - orbit coupling. here we predict by ab in... | arxiv:1309.6653 |
we study the ring of all functions from the positive integers to some field. this ring, which we call \ emph { the ring of number - theoretic functions }, is an inverse limit of the ` ` truncations ' ' \ gamma _ n consisting of all functions f for which f ( m ) = 0 whenever m > n. each \ gamma _ n is a zero - dimension... | arxiv:math/9904143 |
plasmonic superradiance originates from the plasmon mediated strong correlation that builds up between dipolar emitters coupled to a metal nanoparticle. this leads to a fast burst of emission so that plasmonic superradiance constitutes ultrafast and extremely bright optical nanosources of strong interest for integrated... | arxiv:1810.11315 |
since covid - 19 vaccines became available, no studies have quantified how different disaster evacuation strategies can mitigate pandemic risks in shelters. therefore, we applied an age - structured epidemiological model, known as the susceptible - exposed - infectious - recovered ( seir ) model, to investigate to what... | arxiv:2208.13326 |
what is the least surface area of a symmetric body $ b $ whose $ \ mathbb { z } ^ n $ translations tile $ \ mathbb { r } ^ n $? since any such body must have volume $ 1 $, the isoperimetric inequality implies that its surface area must be at least $ \ omega ( \ sqrt { n } ) $. remarkably, kindler et al. \ showed that f... | arxiv:2011.04071 |
$ - uniform intersecting family $ \ mathcal { f } \ subset { [ n ] \ choose k } $ has full differences if $ \ mathcal { d } ( \ mathcal { f } ) = \ cup _ { j = 0 } ^ { k - 1 } { [ n ] \ choose j } $. for odd $ k $, frankl \ cite { frankl } gave a $ k $ - uniform intersecting family $ \ mathcal { f } \ subset { [ 2k ] \... | arxiv:2410.23723 |
through quantum mechanical considerations, we optimize the material response factor $ | \ chi | ^ 2 / \ text { im } \ left [ \ chi \ right ] $, which plays a pivotal role in the fundamental limits of near - field radiative heat transfer ( rht ). a comparison of the limits obtained to experimental data for select materi... | arxiv:2002.05210 |
in this paper we address the problem of prolonging the lifetime of wireless sensor networks ( wsns ) deployed to monitor an area of interest. in this scenario, a helpful approach is to reduce coverage redundancy and therefore the energy expenditure due to coverage. we introduce the first algorithm which reduces coverag... | arxiv:1009.6098 |
orbiting a m dwarf 12 pc away, the transiting exoplanet gj 1132b is a prime target for transmission spectroscopy. with a mass of 1. 7 earth masses and radius of 1. 1 earth radii, gj 1132b ' s bulk density indicates that this planet is rocky. yet with an equilibrium temperature of 580 k, gj 1132b may still retain some s... | arxiv:2105.10487 |
we solve a model that has basic features that are desired for quantum annealing computations : entanglement in the ground state, controllable annealing speed, ground state energy separated by a gap during the whole evolution, and a programmable computational problem that is encoded by parameters of the ising part of th... | arxiv:1804.00371 |
the relation between the fourier coefficients determined by the light curves of rr lyrae variables in the sculptor dwarf galaxy, the m5 cluster, and the unique globular cluster omega - centauri is investigated. a couple of recent papers claim that it is possible to determine both metallicity and absolute magnitude of r... | arxiv:astro-ph/9706217 |
we study a recently introduced generalization of the vertex cover ( vc ) problem, called power vertex cover ( pvc ). in this problem, each edge of the input graph is supplied with a positive integer demand. a solution is an assignment of ( power ) values to the vertices, so that for each edge one of its endpoints has v... | arxiv:1801.10476 |
superconducting microwave circuits incorporating nonlinear devices, such as josephson junctions, are one of the leading platforms for emerging quantum technologies. increasing circuit complexity further requires efficient methods for the calculation and optimization of the spectrum, nonlinear interactions, and dissipat... | arxiv:2010.00620 |
ngc 1566 is a changing look agn known to exhibit recurrent x - ray outbursts with each lasting for several years. the most recent x - ray outburst is observed on 2018, with a substantial increase of 2 - - 10 kev flux by a factor of ~ 24 than the historical minimum. we re - analyze the xmm - newton and nustar observatio... | arxiv:2201.11050 |
large language models ( llms ) have recently demonstrated the potential in acting as autonomous agents for sequential decision - making tasks. however, most existing methods either take actions greedily without planning or rely on static plans that are not adaptable to environmental feedback. consequently, the sequenti... | arxiv:2305.16653 |
we have computed new solar models using the same stellar evolution code as described in charbonnel, vauclair and zahn ( 1992 ). this code, originating from geneva, now includes the computation of element segregation for helium and 12 heavier isotopes. it may also include any type of mixing of the stellar gas, provided ... | arxiv:astro-ph/9601136 |
automated driving systems ( ads ) are expected to be reliable and robust against a wide range of driving scenarios. their decisions, first and foremost, must be well understood. understanding a decision made by ads is a great challenge, because it is not straightforward to tell whether the decision is correct or not, a... | arxiv:2206.03075 |
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