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by regular tessellation, we mean any hyperbolic 3 - manifold tessellated by ideal platonic solids such that the symmetry group acts transitively on oriented flags. a regular tessellation has an invariant we call the cusp modulus. for small cusp modulus, we classify all regular tessellations. for large cusp modulus, we ...
arxiv:1406.2827
magnetic field fluctuations in the vicinity of the earth ' s bow shock have been investigated with the aim to characterize the intermittent behaviour of strong plasma turbulence. the observed small - scale intermittency may be the signature of a multifractal process but a deeper inspection reveals caveats in such an in...
arxiv:comp-gas/9607003
this paper considers how to ensure that a system of fixed wing unmanned aerial vehicles ( uavs ) can avoid collisions. to do so we develop a novel method for creating a barrier function, which is similar to a lyapunov function and can be used to ensure that a system can stay safe for all future times. after introducing...
arxiv:1906.03771
the antifield - brst formalism and the various cohomologies associated with it are surveyed and illustrated in the context of yang - mills gauge theory. in particular, the central role played by the koszul - tate resolution and its relation to the characteristic cohomology are stressed.
arxiv:hep-th/9412141
microwave transversal filters, which are implemented based on the transversal filter structure in digital signal processing, offer a high reconfigurability for achieving a variety of signal processing functions without changing hardware. when implemented using microwave photonic ( mwp ) technologies, also known as mwp ...
arxiv:2408.03547
beta = 1. 3 + / - 0. 2, in agreement with the values obtained above.
arxiv:1011.0725
boron ( b ) sheet has been intently studied and various candidates with vacancies have been proposed by theoretical investigations, including the possible growth on metal surface. however, a recent experiment ( science 350, 1513, 2015 ) reported that the sheet formed on the ag ( 111 ) surface was a buckled triangular l...
arxiv:1601.01393
covert communication can prevent the adversary from knowing that a wireless transmission has occurred. in the additive white gaussian noise channels, a square root law is obtained and the result shows that alice can reliably and covertly transmit $ \ mathcal { o } ( \ sqrt { n } ) $ bits to bob in $ n $ channel uses. i...
arxiv:1712.05099
a new measurement of the 1s - 2s energy splitting of muonium by doppler - free two - photon spectroscopy has been performed at the rutherford appleton laboratory in chilton, didcot, uk. increased accuracy is expected compared to a previous experiment. spectroscopy of this transistion promises an improvement of the muon...
arxiv:physics/9805020
we study almost bi - paracontact structures on contact manifolds. we prove that if an almost bi - paracontact structure is defined on a contact manifold $ ( m, \ eta ) $, then under some natural assumptions of integrability, $ m $ carries two transverse bi - legendrian structures. conversely, if two transverse bi - leg...
arxiv:1003.1417
this paper considers the transmission of an infinite sequence of messages ( a streaming source ) over a packet erasure channel, where every source message must be recovered perfectly at the destination subject to a fixed decoding delay. while the capacity of a channel that introduces only bursts of erasures is well kno...
arxiv:1904.06212
mathematical method based on a direct or indirect analysis of growth rates is described. it is shown how simple assumptions and a relatively easy analysis can be used to describe mathematically complicated trends and to predict growth. only rudimentary knowledge of calculus is required. projected trajectories based on ...
arxiv:1705.06557
nanoclusters like fullerenes as the unit to build intriguing two - dimensional topological structures is of great challenge. here we propose three bridged fullerene monolayers and comprehensively investigate the novel fullerene monolayer as synthesized experimentally zheng et al., [ nature 606, 507 - 510 ( 2022 ) ] by ...
arxiv:2207.02781
in this paper i generalize the halo model for the clustering of dark matter in order to produce the power spectra of the two main baryonic matter components in the universe : stars and hot gas. as a natural extension, this can be also used to describe the clustering of all mass. according to the design of the halo mode...
arxiv:1401.2997
developing the analysis of the distribution of the particle ' s position - momentum dot product, the so - called \ textit { posmom } $ \ mathbf { x } % \ cdot \ mathbf { p } $ \ textbf {, } to quantum states on a circular circle on two - dimensional cartesian coordinates, we give its posmometry ( introduced recently by...
arxiv:1410.1010
we obtain a limit theorem endowed with quantitative estimates for a general class of infinite dimensional hybrid processes with intrinsically two different time scales and including a population. as an application, we consider a large class of conductance - based neuron models describing the nerve impulse propagation a...
arxiv:1403.1751
true random number generators ( trngs ) are essential components of cryptographic designs, which are used to generate private keys for encryption and authentication, and are used in masking countermeasures. in this work, we present a mechanism to design a stealthy parametric hardware trojan for a ring oscillator based ...
arxiv:1910.00735
numerous studies have proved their effective strength in detecting control area network ( can ) attacks. in the realm of understanding the human semantic space, transformer - based models have demonstrated remarkable effectiveness. leveraging pre - trained transformers has become a common strategy in various language -...
arxiv:2311.12074
we study an isotropic flat flrw - model in scale - covariant theory of gravity $ f _ { \ gamma \ delta } ( \ phi ) $ \ cite { canuto : 1977zz } which is explained in terms of ordinary and covariant differentiation of scalar field $ \ phi $. as we know the deceleration parameter is time - dependent, so we consider the d...
arxiv:2207.05076
in this communication we analyze the behavior of excited drops contained in spherical volumes. we study different properties of the dynamical systems i. e. the maximum lyapunov exponent mle, the asymptotic distance in momentum space $ d _ { \ infty } $ andthe normalized variance of the maximum fragment nvm. it is shown...
arxiv:nucl-th/0203049
we reduce the problem of finding an augmenting path in a general graph to a reachability problem in a directed bipartite graph. a slight modification of depth - first search leads to an algorithm for finding such paths. although this setting is equivalent to the traditional terminology of blossoms due to edmonds, there...
arxiv:1509.04927
we present a method for the controlled and robust generation of spatial superposition states of single atoms in micro - traps. using a counter - intuitive positioning sequence for the individual potentials and appropriately chosen trapping frequencies, we show that it is possible to selectively create two different ort...
arxiv:quant-ph/0611174
one attractive approach to market dynamics is the level $ k $ model in which a level $ 0 $ player adopts a very simple response to current conditions, a level $ 1 $ player best - responds to a model in which others take level $ 0 $ actions, and so forth. ( this is analogous to $ k $ - ply exploration of game trees in a...
arxiv:1605.09012
shear - free or asymptotically shear - free null geodesic congruences possess a large number of fascinating geometric properties and to be closely related, in the context of general relativity, to a variety of physically significant affects. it is the purpose of this paper to develop these issues and find applications ...
arxiv:0906.2155
the transformer model has revolutionized natural language processing tasks such as neural machine translation, and many efforts have been made to study the transformer architecture, which increased its efficiency and accuracy. one potential area for improvement is to address the computation of empty tokens that the tra...
arxiv:2308.08153
the solution representing a brane - anti - brane system in matrix models breaks the usual matrix spacetime symmetry. we show that the spacetime symmetry on the branes is not breaking, rather appears as a combination of the matrix spacetime transformation and a gauge transformation. as a result, the tachyon field, itsel...
arxiv:hep-th/0010058
diffusion models have been extensively utilized in ai - generated content ( aigc ) in recent years, thanks to the superior generation capabilities. combining with semantic communications, diffusion models are used for tasks such as denoising, data reconstruction, and content generation. however, existing diffusion - ba...
arxiv:2407.18468
we present an example of a zero - dimensional compact metric space $ x $ and its closed subspace $ a $ such that there is no continuous linear extension operator for the lipschitz pseudometrics on $ a $ to the lipschitz pseudometrics on $ x $. the construction is based on results of a. brudnyi and yu. brudnyi concernin...
arxiv:1207.2952
a number of numerical simulations of lattice gauge theory have indicated a low mass of strange quark in 100 mev range at the scale of $ \ mu = 2 $ gev. in the unquenched case, which is improved over the simulation in the quenched approximation by the inclusion of $ u $ and $ d $ sea quark effects, one sees a further do...
arxiv:hep-ph/0001060
the proximity effect of superconductivity on confined states in semiconductors gives rise to various bound states such as andreev bound states ( abss ), andreev molecules and majorana zero modes. while such bound states do not conserve charge, their fermion parity is a good quantum number. one way to measure parity is ...
arxiv:2311.02001
quantum parity conservation is verified at all orders in perturbation theory for a massless parity - even $ u ( 1 ) \ times u ( 1 ) $ planar quantum electrodynamics ( qed $ _ 3 $ ) model. the presence of two massless fermions requires the lowenstein - zimmermann ( lz ) subtraction scheme, in the framework of the bogoli...
arxiv:2010.03125
persistence modules that decompose into interval modules are important in topological data analysis because we can interpret such intervals as the lifetime of topological features in the data. we can classify the settings in which persistence modules always decompose into intervals, by a recent result of aoki, escolar ...
arxiv:2501.00322
we prove the existence of weak solutions to an unsteady thermistor system with p - laplacian type equation for the electrostatic potential, where the electrical conductivity of the thermistor material is a monotone function of the electric field density.
arxiv:1609.01440
this paper proposes a general framework for structure - preserving model reduction of a secondorder network system based on graph clustering. in this approach, vertex dynamics are captured by the transfer functions from inputs to individual states, and the dissimilarities of vertices are quantified by the h2 - norms of...
arxiv:1706.01751
let $ \ mathrm { x ( n ) } $ be ravenel ' s thom spectrum over $ \ omega \ mathrm { su } ( n ) $. we say a spectrum $ e $ has chromatic defect $ n $ if $ n $ is the smallest positive integer such that $ e \ otimes \ mathrm { x ( n ) } $ is complex orientable. we compute the chromatic defect of various examples of inter...
arxiv:2402.17519
there are steady advances in the calculation of electroweak corrections to massive scattering problems at colliders, from the very beginning in the nineteen seventies until contemporary developments. recent years brought a remarkable progress due to new calculational technologies. this was motivated by demands from phe...
arxiv:1412.3311
z, ( z ∈ x z ∈ z ), { \ displaystyle \ forall z, ( z \ in x \ iff z \ in z ), } thus x = z. { \ displaystyle x = z. } substitution : see substitution ( logic ) § proof of substitution in zfc. function application : given a = b { \ displaystyle a = b } and f ( a ) = c, { \ displaystyle f ( a ) = c, } then ( a, c ) ∈ f. ...
https://en.wikipedia.org/wiki/Equality_(mathematics)
the phase transitions in the transverse field ising model in a competing spatially modulated ( periodic and oscillatory ) longitudinal field are studied numerically. there is a multiphase point in absence of the transverse field where the degeneracy for a longitudinal field of wavelength $ \ lambda $ is $ ( \ frac { 1 ...
arxiv:cond-mat/0010246
we propose a new approach to the problem of rapidity gap survival ( rgs ) in the production of high - mass systems ( h = dijet, heavy quarkonium, higgs boson ) in double - gap exclusive diffractive pp scattering, pp - > p + ( gap ) + h + ( gap ) + p. it is based on the idea that hard and soft interactions proceed over ...
arxiv:hep-ph/0608271
compact matrix quantum groups act naturally on cuntz algebras. the first author isolated certain conditions under which the fixed point algebras under this action are kirchberg algebras. hence they are completely determined by their $ k $ - groups. building on prior work by the second author, we prove that free easy qu...
arxiv:1606.00569
a block of rubber eventually buckles under severe flexure, and several axial wrinkles appear on the inner curved face of the bent block. experimental measurements reveal that the buckling occurs earlier - - - at lower compressive strains - - - than expected from theoretical predictions. this paper shows that if rubber ...
arxiv:1301.5437
a zero - sum two person perfect information stochastic game ( pisg ) under limiting average payoff has a value and both the maximiser and the minimiser have optimal pure stationary strategies. firstly we form the matrix of undiscounted payoffs corresponding to each pair of pure stationary strategies ( for each initial ...
arxiv:2302.07151
the impact of new stellar evolution models with rotation on the predictions of population synthesis models is discussed. massive rotating stars have larger convective cores than their non - rotating counterparts, and their outer layers are chemically enriched due to increased mixing. together, these two effects lead to...
arxiv:1402.0824
we present the results from a detailed x - ray variability analysis of 66 agn in the lockman hole, which have optical spectroscopic identifications. we compare, quantitatively, their variability properties with the properties of local agn, and we study the " variability - luminosity " relation as a function of redshift...
arxiv:0805.2851
we investigate projection methods, for evaluating a linear approximation of the value function of a policy in a markov decision process context. we consider two popular approaches, the one - step temporal difference fix - point computation ( td ( 0 ) ) and the bellman residual ( br ) minimization. we describe examples,...
arxiv:1011.4362
topological entanglement entropy ( tee ), the sub - leading term in the entanglement entropy of topological order, is the direct evidence of the long - range entanglement. while effective in characterizing topological orders on closed manifolds, tee is model - dependent when entanglement cuts intersect with physical ga...
arxiv:2311.17569
predictions for angular correlations between an arbitrary number of partons are derived in the high energy limit. the quantities considered depend on angles and primary energy through a single variable $ \ epsilon $ which implies certain scaling properties and relations between quite different observables. these asympt...
arxiv:hep-ph/9501326
deep supervised hashing for image retrieval has attracted researchers ' attention due to its high efficiency and superior retrieval performance. most existing deep supervised hashing works, which are based on pairwise / triplet labels, suffer from the expensive computational cost and insufficient utilization of the sem...
arxiv:2103.09442
we present a numerical method to estimate the lensing parameters and the hubble constant h _ 0 from quadruply imaged gravitational lens systems. the lens galaxy is modeled using both separable deflection potentials and constant mass - to - light ratio profiles, while possible external perturbations have been taken into...
arxiv:astro-ph/0407134
the reactivity of water vapor introduced in an atmospheric dielectric barrier discharge supplied in argon is investigated through optical emission spectroscopy measurements. this discharge is also used for the treatment of ldpe surfaces. water contact angles measurements, xps and afm techniques are used to study the gr...
arxiv:1604.08795
we investigate gate - defined quantum dots in silicon on insulator nanowire field - effect transistors fabricated using a foundry - compatible fully - depleted silicon - on - insulator ( fd - soi ) process. a series of split gates wrapped over the silicon nanowire naturally produces a $ 2 \ times n $ bilinear array of ...
arxiv:2005.14712
the article presents a new interpretation for zipf - mandelbrot ' s law in natural language which rests on two areas of information theory. firstly, we construct a new class of grammar - based codes and, secondly, we investigate properties of strongly nonergodic stationary processes. the motivation for the joint discus...
arxiv:0810.3125
we consider a differential equation driven by a brownian motion as well as a rough path. we prove a girsanov - type result for this equation to construct a weak solution in the probabilistic sense.
arxiv:1805.01243
we present analyses from a real - time information monitoring system of online local news in the u. s. we study relationships among online local news coverage of covid, cases and deaths in an area, and properties of local news outlets and their audiences. our analysis relies on a unique dataset of the online content of...
arxiv:2111.08515
the exact entropy of two - charge supersymmetric black holes in n = 4 string theories is computed to all orders using wald ' s formula and the supersymmetric attractor equations with an effective action that includes the relevant higher curvature terms. classically, these black holes have zero area but the attractor eq...
arxiv:hep-th/0409148
in this article we study quasilinear multipower systems of two equations of two types, in a domain $ \ omega $ of r ^ { n } : with absorption terms, or mixed terms. despite of the lack of comparison principle, we prove a priori estimates of keller - osserman type. concerning the mixed system, we show that one of the so...
arxiv:1102.2564
annihilation of extremely energetic cosmic neutrinos on the relic - neutrino background can give rise to absorption lines at energies corresponding to formation of the electroweak gauge boson $ z ^ { 0 } $. the positions of the absorption dips are set by the masses of the relic neutrinos. suitably intense sources of ex...
arxiv:hep-ph/0412122
efficient and accurate extraction of microstructures in micrographs of materials is essential in process optimization and the exploration of structure - property relationships. deep learning - based image segmentation techniques that rely on manual annotation are laborious and time - consuming and hardly meet the deman...
arxiv:2401.05638
this report provides a description of unbunched beam stochastic cooling in the framework of control theory. the main interest in the investigation is concentrated on the beam stability in an active cooling system. a stochastic cooling system must be considered as a closed - loop, similar to the feedback systems used to...
arxiv:acc-phys/9607001
the dynamics of an inviscid and incompressible fluid flow on a riemannian manifold is governed by the euler equations. recently, tao launched a programme to address the global existence problem for the euler and navier stokes equations based on the concept of universality. inspired by this proposal, in this article we ...
arxiv:1911.01963
the traditional presentation of unimodular gravity ( ug ) consists on indicating that it is an alternative theory of gravity that restricts the generic diffeomorphism invariance of general relativity. in particular, as often encountered in the literature, unlike general relativity, unimodular gravity is invariant solel...
arxiv:2308.07360
we report the result of a search for neutrinos in coincidence with solar flares from the goes flare database. the search was performed on a 10. 8 kton - year exposure of kamland collected from 2002 to 2019. this large exposure allows us to explore previously unconstrained parameter space for solar flare neutrinos. we f...
arxiv:2105.02458
we examine an extension of the sm higgs sector by a higgs triplet taking into consideration the higgs - like particle discovery at the lhc with mass around 125 gev. we evaluate the bounds on the scalar potential through the unitarity of the scattering - matrix. considering with and without $ \ z _ 2 $ - symmetry on the...
arxiv:1610.03178
we consider a novel mechanism to realize exothermic dark matter with dark mesons in the limit of approximate flavor symmetry in a dark qcd. we introduce a local dark $ u ( 1 ) ' $ symmetry to communicate between dark mesons and the standard model via $ z ' $ portal by partially gauging the dark flavor symmetry with fla...
arxiv:2012.03713
it is shown that isospin - breaking corrections to the pion - deuteron scattering length can be very large, because of the vanishing of the isospin - symmetric contribution to this scattering length at leading order in chiral perturbation theory. we further demonstrate that these corrections can explain the bulk of the...
arxiv:nucl-th/0512035
we show that the balance between localized gain and nonlinear cubic dissipation in the twodimensional nonlinear schrodinger equation allows for existence of stable two - dimensional localized modes which we identify as solitons. such modes exist only when the gain is strong enough and the energy flow exceeds certain th...
arxiv:1012.0844
the unitarity in lorentz invariance violating qed consisting of standard fermions and higher - order photons of the myers - pospelov theory is studied. we find ghost states associated to the higher - order character of the theory which could render the $ s $ matrix nonunitary. an explicit calculation to check perturbat...
arxiv:1307.5340
the first comprehensive study of electron gains and losses in hypersonic air flows including the full coupling between the non - neutral plasma sheaths and the quasi - neutral plasma flow is here presented. such is made possible by the use of advanced numerical methods that overcome the stiffness associated with the pl...
arxiv:2111.09432
this paper transfers a randomized algorithm, originally used in geometric optimization, to computational problems in commutative algebra. we show that clarkson ' s sampling algorithm can be applied to two problems in computational algebra : solving large - scale polynomial systems and finding small generating sets of g...
arxiv:1503.08804
mass loss is a key process in the evolution of massive stars, and must be understood quantitatively to be successfully included in broader astrophysical applications. in this review, we discuss various aspects of radiation driven mass loss, both from the theoretical and the observational side. we focus on winds from ob...
arxiv:0811.0487
we performed two - dimensional molecular dynamics simulations of cohesive disks under shear. the cohesion between the disks is added by the action of springs between very next neighbouring disks, modelling capillary forces. the geometry of the cell allows disk - disk shearing and not disk - cell wall shearing as it is ...
arxiv:cond-mat/0505231
gy { \ ' a } rf { \ ' a } s et al. and zaker have proven that the grundy number of a graph $ g $ satisfies $ \ gamma ( g ) \ ge t $ if and only if $ g $ contains an induced subgraph called a $ t $ - atom. the family of $ t $ - atoms has bounded order and contains a finite number of graphs. in this article, we introduce...
arxiv:1505.07780
we consider the hadroproduction of w gauge bosons in their leptonic decay mode. starting from the leading - order expressions, we show that by defining a suitable scaling variable the centre - of - mass dependence of the cross sections at the lhc energies can be essentially described by a simple power law. the scaling ...
arxiv:1509.03993
quantum interferometry uses quantum resources to improve phase estimation with respect to classical methods. here we propose and theoretically investigate a new quantum interferometric scheme based on three - dimensional waveguide devices. these can be implemented by femtosecond laser waveguide writing, recently adopte...
arxiv:1301.1577
we adopt the viewpoint that topological and \ ' e - quillen theory for commutative $ s $ - algebras should provide usable ( co ) homology theories for doing calculations in the sense traditional within algebraic topology. our main emphasis is on homotopical properties of universal derivations, especially their behaviou...
arxiv:1208.1868
it is proved that there exists a separable reflexive banach space w that contains an isomorphic image of every separable superreflexive banach space. this gives the affirmative answer on one j. bourgain ' s question
arxiv:math/0206010
in power grids, short - term load forecasting ( stlf ) is crucial as it contributes to the optimization of their reliability, emissions, and costs, while it enables the participation of energy companies in the energy market. stlf is a challenging task, due to the complex demand of active and reactive power from multipl...
arxiv:2302.13046
the tor network has been a significant part of the internet for years. tor was originally started in the naval research laboratory for anonymous internet browsing and internet - based communication. from being used for anonymous communications, it has now segmented into various other use - cases like censorship circumv...
arxiv:2208.11149
flat bands provide a natural platform for emergent electronic states beyond landau paradigm. among those of particular importance are flat chern bands, including bands of higher chern numbers ( $ c $ $ > $ $ 1 $ ). we introduce a new framework for band flatness through wave functions, and classify the existing isolated...
arxiv:2105.14672
two important classes of the quantum statistical model, the locally quasi - classical model and the quasi - classical model, are introduced from the estimation theoretical viewpoint, and they are characterized geometrically by the vanishing conditions of the relative phase factor ( rpf ), implying the close tie between...
arxiv:quant-ph/9711027
behavior recognition is an important task in video representation learning. an essential aspect pertains to effective feature learning conducive to behavior recognition. recently, researchers have started to study fine - grained behavior recognition, which provides similar behaviors and encourages the model to concern ...
arxiv:2503.20209
we present results of a chandra survey of the ultra - luminous x - ray sources ( ulx ) in 13 normal galaxies, in which we combine source detection with x - ray flux measurement. 22 ulx were detected, i. e. with l _ x > 1 x 10 ^ { 39 } erg s ^ { - 1 } ( l _ 10 ), and 39 other sources were detected with l _ x > 5 x 10 ^ ...
arxiv:astro-ph/0305345
we study the decays of $ b _ { ( s ) } $ mesons into light pseudoscalar mesons under the $ su ( 3 ) $ flavour symmetry. assuming exact $ su ( 3 ) $ symmetry at the level of the amplitudes leads to a simple parameterization. using the available experimental data and, for the first time, mixing effects in the $ b _ s ^ 0...
arxiv:2504.05209
we provide ongoing results from the development of a personalized learning system integrated into a serious game. given limited instructor resources, the use of computerized systems to help tutor students offers a way to provide higher quality education and to improve educational efficacy. personalized learning systems...
arxiv:2305.16568
in this paper, we propose an image re - sampling compression method by learning virtual codec network ( vcn ) to resolve the non - differentiable problem of quantization function for image compression. here, the image re - sampling not only refers to image full - resolution re - sampling but also low - resolution re - ...
arxiv:1806.08514
applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry. thus, applied mathematics is a combination of mathematical science and specialized knowledge. the term " applied mathematics " also descr...
https://en.wikipedia.org/wiki/Applied_mathematics
we show that any compact half - conformally flat manifold of negative type, with bounded $ l ^ 2 $ energy, sufficiently small scalar curvature, and a non - collapsing assumption, has all betti numbers bounded. we show that this result is optimal from an analytic perspective by demonstrating singularity models that are ...
arxiv:1907.09025
we study counterintuitive dynamics of a two - level system ( tls ) interacting with electric field superoscillating in time. we show that a tls may be excited by an external light pulse whose spectral components are below the absorption line of the tls. we attribute this unique dynamics to the rabi oscillations of the ...
arxiv:1409.5644
this paper presents a novel methodology for fast simulation and analysis of transient heat transfer. the proposed methodology is suitable for real - time applications owing to ( i ) establishing the solution method from the viewpoint of computationally efficient explicit dynamics, ( ii ) proposing an element - level th...
arxiv:1909.03355
in this work, the univariant two - phase coexistence line of the hydrate of tetrahydrofuran ( thf ) is determined from 100 to 1000 bar by molecular dynamics simulations. the study is carried out by putting in contact a thf hydrate phase with a stoichiometric aqueous solution phase. following the direct coexistence tech...
arxiv:2405.04887
the path packing problem is stated finding the maximum number of edge - disjoint paths between predefined pairs of nodes in an undirected multigraph. such a multigraph together with predefined node pairs is often called a network.
arxiv:0912.1452
fully - supervised polyp segmentation has accomplished significant triumphs over the years in advancing the early diagnosis of colorectal cancer. however, label - efficient solutions from weak supervision like scribbles are rarely explored yet primarily meaningful and demanding in medical practice due to the expensiven...
arxiv:2306.00451
difference hierarchies were originally introduced by hausdorff and they play an important role in descriptive set theory. in this survey paper, we study difference hierarchies of regular languages. the first sections describe standard techniques on difference hierarchies, mostly due to hausdorff. we illustrate these te...
arxiv:1702.08023
we briefly review the state - of - the - art in phase - field modeling of microstructure evolution. the focus is placed on recent applications of phase - field simulations of solid - state microstructure evolution and solidification that have been compared and / or validated with experiments. they show the potential of...
arxiv:2104.09915
by utilizing the idea of colombeau ' s generalized function, we introduce a notion of asymptotic map between arbitrary diffeological spaces. the category consisting of diffeological spaces and asymptotic maps is enriched over the category of diffeological spaces, and inherits completeness and cocompleteness. in particu...
arxiv:2002.11339
dissipation induced by interactions with an external environment typically hinders the performance of quantum computation, but in some cases can be turned out as a useful resource. we show the potential enhancement induced by dissipation in the field of quantum reservoir computing introducing tunable local losses in sp...
arxiv:2212.12078
the spin effect of electrons / positrons ( $ e ^ - $ / $ e ^ + $ ) and polarization effect of $ \ gamma $ photons are investigated in the interaction of two counter - propagating linearly polarized 10 - pw - class laser pulses with a thin foil target. the processes of nonlinear compton scattering and nonlinear breit - ...
arxiv:2102.05882
in stoc ' 95 [ admss ' 95 ] arya et al. showed that any set of $ n $ points in $ \ mathbb r ^ d $ admits a $ ( 1 + \ epsilon ) $ - spanner with hop - diameter at most 2 ( respectively, 3 ) and $ o ( n \ log n ) $ edges ( resp., $ o ( n \ log \ log n ) $ edges ). they also gave a general upper bound tradeoff of hop - di...
arxiv:2112.09124
particle correlations and fluctuations measured by rhic experiments at $ \ sqrt { s _ { nn } } $ = 130 gev were discussed. the source size parameters were similar to those measured at the cern - sps, and no long duration time of particle emission were observed. it was pointed out that the dependences of longitudinal an...
arxiv:hep-ph/0111460
the $ \ lambda $ - $ \ lambda $ effective interaction, in the channel $ l = s = 0 $, in the nuclear medium is fitted to the available binding energies, $ b _ { \ lambda \ lambda } $, of double $ \ lambda $ hypernuclei : $ ^ { 6 } _ { \ lambda \ lambda } $ he, $ ^ { 10 } _ { \ lambda \ lambda } $ be and $ ^ { 13 } _ { \...
arxiv:nucl-th/9711035