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we suggest using einstein ' s static universe metric for the metastable state after reheating, instead of the friedman - robertson - walker spacetime. in this case strong static gravitational potential leads to the effective reduction of the higgs vacuum expectation value, which is found to be compatible with the stand...
arxiv:1702.08445
past research has proposed numerous hardware prefetching techniques, most of which rely on exploiting one specific type of program context information ( e. g., program counter, cacheline address ) to predict future memory accesses. these techniques either completely neglect a prefetcher ' s undesirable effects ( e. g.,...
arxiv:2109.12021
this paper is devoted to investigate the thermodynamic stability of a generic cosmological fluid known as van der waals fluid in the context of flat frw universe. it is treated as a perfect fluid that obeys the equation of state $ p = \ frac { \ gamma \ rho } { 1 - \ beta \ rho } - \ alpha \ rho ^ { 2 }, 0 \ leq \ gamm...
arxiv:2110.11770
computer software for aerospace applications, including flight software, ground control software, test & evaluation software, etc. risk and reliability – the study of risk and reliability assessment techniques and the mathematics involved in the quantitative methods. noise control – the study of the mechanics of sound ...
https://en.wikipedia.org/wiki/Aerospace_engineering
unconstrained video recognition and deep convolution network ( dcn ) are two active topics in computer vision recently. in this work, we apply dcns as frame - based recognizers for video recognition. our preliminary studies, however, show that video corpora with complete ground truth are usually not large and diverse e...
arxiv:1409.4127
we compiled an all - sky catalog of 451 nearby galaxies, each having an individual distance estimate $ d \ la 10 $ mpc or the radial velocity $ v _ { lg } < 550 $ km s $ ^ { - 1 } $. the catalog contains data on basic optical and hi properties of the galaxies : their diameters, absolute magnitudes, morphological types,...
arxiv:astro-ph/0410078
non - malleable code is a relaxed version of error - correction codes and the decoding of modified codewords results in the original message or a completely unrelated value. thus, if an adversary corrupts a codeword then he cannot get any information from the codeword. this means that non - malleable codes are useful t...
arxiv:1701.07914
a new simulation technique to obtain the synchronized steady - state solutions existing in coupled oscillator systems is presented. the technique departs from a semi - analytical formulation presented in previous works. it extends the model of the admittance function describing each individual oscillator to a piecewise...
arxiv:2404.12780
elementary mathematics, also known as primary or secondary school mathematics, is the study of mathematics topics that are commonly taught at the primary or secondary school levels around the world. it includes a wide range of mathematical concepts and skills, including number sense, algebra, geometry, measurement, and...
https://en.wikipedia.org/wiki/Elementary_mathematics
dcat is an rdf vocabulary designed to facilitate interoperability between data catalogs published on the web. since its first release in 2014 as a w3c recommendation, dcat has seen a wide adoption across communities and domains, particularly in conjunction with implementing the fair data principles ( for findable, acce...
arxiv:2303.08883
we present picasso, a cuda - based library comprising novel modules for deep learning over complex real - world 3d meshes. hierarchical neural architectures have proved effective in multi - scale feature extraction which signifies the need for fast mesh decimation. however, existing methods rely on cpu - based implemen...
arxiv:2103.15076
network slice placement with the problem of allocation of resources from a virtualized substrate network is an optimization problem which can be formulated as a multiobjective integer linear programming ( ilp ) problem. however, to cope with the complexity of such a continuous task and seeking for optimality and automa...
arxiv:2105.06741
this paper studies the minimum weight set cover ( minwsc ) problem with a { \ em small neighborhood cover } ( snc ) property proposed by agarwal { \ it et al. } in \ cite { agarwal. }. a parallel algorithm for minwsc with $ \ tau $ - snc property is presented, obtaining approximation ratio $ \ tau ( 1 + 3 \ varepsilon ...
arxiv:2202.03872
in this paper, we discuss the results of a new particle pusher in realistic ultra - strong electromagnetic fields as those encountered around rotating neutron stars. after presenting results of this algorithm in simple fields and comparing them to expected exact analytical solutions, we present new simulations for a ro...
arxiv:2007.04797
the problem of formulating synchronous variational principles in the context of general relativity is discussed. based on the analogy with classical relativistic particle dynamics, the existence of variational principles is pointed out in relativistic classical field theory which are either asynchronous or synchronous....
arxiv:1609.04418
recently it has been discussed whether a bow shock ahead of the heliospheric stagnation region does exist or not. this discussion was triggered by measurements indicating that the alfv \ ' en speed and that of fast magnetosonic waves are higher than the flow speed of the local interstellar medium ( lism ) relative to t...
arxiv:1312.1197
this is a slightly revised version of the presidential address ( general ) delivered at the 84th annual conference of the indian mathematical society held at jammu, india during november 2018.
arxiv:2004.02100
we study the semileptonic branching fraction of $ b $ - meson into higher resonance of charmed meson $ d ^ { * * } $ by using the bjorken sum rule and the heavy quark effective theory ( hqet ). this sum rule and the current experiment of $ b $ - meson semileptonic decay into $ d $ and $ d ^ * $ predict that the branchi...
arxiv:hep-ph/9603355
information retrieval techniques have demonstrated exceptional capabilities in identifying semantic similarities across diverse domains through robust feature representations. however, their potential in guiding synthesis tasks, particularly cross - view image synthesis, remains underexplored. cross - view image synthe...
arxiv:2411.19510
we have performed systematic studies of narrow fe - k line ( 6. 4 kev ) flux variability and ni - k line intensity for seyfert galaxies, using { \ em suzaku } and { \ em xmm - newton } archival data. significant fe - k line variability of several tens percents was detected for a pair of observations separated by 1000 -...
arxiv:1603.08630
the dependence of the raman spectrum on the excitation energy has been investigated for aba - and abc - stacked few - layer graphene in order to establish the fingerprint of the stacking order and the number of layers, which affect the transport and optical properties of few - layer graphene. five different excitation ...
arxiv:1404.1252
the framework of bodlaender et al. ( icalp 2008 ) and fortnow and santhanam ( stoc 2008 ) allows us to exclude the existence of polynomial kernels for a range of problems under reasonable complexity - theoretical assumptions. however, there are also some issues that are not addressed by this framework, including the ex...
arxiv:1110.0976
we develop a novel framework for fully decentralized offloading policy design in multi - access edge computing ( mec ) systems. the system comprises $ n $ power - constrained user equipments ( ues ) assisted by an edge server ( es ) to process incoming tasks. tasks are labeled with urgency flags, and in this paper, we ...
arxiv:2501.05660
as various forms of fraud proliferate on ethereum, it is imperative to safeguard against these malicious activities to protect susceptible users from being victimized. while current studies solely rely on graph - based fraud detection approaches, it is argued that they may not be well - suited for dealing with highly r...
arxiv:2303.18138
the electron scattering from periodic line defects on the surface of topological insulators with hexagonal warping effect is investigated theoretically by means of a transfer matrix method. the influence of surface line defects, acting as structural ripples on propagation of electrons are studied in two perpendicular d...
arxiv:2007.12867
we consider solving nonlinear optimization problems with a stochastic objective and deterministic equality constraints. we assume for the objective that its evaluation, gradient, and hessian are inaccessible, while one can compute their stochastic estimates by, for example, subsampling. we propose a stochastic algorith...
arxiv:2102.05320
dawn - dusk asymmetries are ubiquitous features of the coupled solar - wind - magnetosphere - ionosphere system. during the last decades, increasing availability of satellite and ground - based measurements has made it possible to study these phenomena in more detail. numerous publications have documented the existence...
arxiv:1701.04701
for all poincar \ ' e invariant lagrangians of the form $ { \ cal l } \ equiv f ( f _ { \ mu \ nu } ) $, in three euclidean dimensions, where $ f $ is any invariant function of a non - compact $ u ( 1 ) $ field strength $ f _ { \ mu \ nu } $, we find that the only continuum limit ( described by just such a gauge field ...
arxiv:hep-th/9503225
in his nobel prize lecture victor hess urged that different instruments, working together, should be used to solve the problem of the origin of cosmic rays. i review some of the key developments that have opened up the new fields of direct and indirect multi - messenger astronomy and that are guiding us to the solution...
arxiv:1909.00670
it is suggested that virtual gluon - clusters exist in nucleon, and that such colorless and colored objects manifest themselves in the small $ x _ b $ region of inelastic lepton - nucleon scattering processes. the relationship between the space - time properties of such clusters and the striking features observed in th...
arxiv:hep-ph/9509422
most current work in nlp utilizes deep learning, which requires a lot of training data and computational power. this paper investigates the strengths of genetic algorithms ( gas ) for extractive summarization, as we hypothesized that gas could construct more efficient solutions for the summarization task due to their r...
arxiv:2105.02365
nanostructured silicon is a promising material for thermoelectric conversion, because the thermal conductivity in silicon nanostructures can be strongly reduced with respect to that of bulk materials. we present thermal conductivity measurements, performed with the 3 $ \ omega $ technique, of suspended monocrystalline ...
arxiv:1710.04403
calibration is an essential prerequisite for the accurate data fusion of lidar and camera sensors. traditional calibration techniques often require specific targets or suitable scenes to obtain reliable 2d - 3d correspondences. to tackle the challenge of target - less and online calibration, deep neural networks have b...
arxiv:2501.16969
we analyze the topological nature of $ c = 1 $ string theory at the self - - dual radius. we find that it admits two distinct topological field theory structures characterized by two different puncture operators. we show it first in the unperturbed theory in which the only parameter is the cosmological constant, then i...
arxiv:hep-th/9505140
dark matter simulations can serve as a basis for creating galaxy histories via the galaxy - dark matter connection. here, one such model by becker ( 2015 ) is implemented with several variations on three different dark matter simulations. stellar mass and star formation rates are assigned to all simulation subhalos at ...
arxiv:1609.03956
various coarse - grained models have been proposed to study the spreading dynamics in the network. a microscopic theory is needed to connect the spreading dynamics with the individual behaviors. in this letter, we unify the description of different spreading dynamics on complex networks by decomposing the microscopic d...
arxiv:2009.06919
. berndt, ramanujan ' s lost notebook : part iii, ( springer, 2012, isbn 978 - 1 - 4614 - 3809 - 0 ) george e. andrews and bruce c. berndt, ramanujan ' s lost notebook : part iv, ( springer, 2013, isbn 978 - 1 - 4614 - 4080 - 2 ) george e. andrews and bruce c. berndt, ramanujan ' s lost notebook : part v, ( springer, 2...
https://en.wikipedia.org/wiki/Srinivasa_Ramanujan
we consider a linear regression model with a spatially correlated error term on a lattice. when estimating coefficients in the linear regression model, the generalized least squares estimator ( glse ) is used if the covariance structures are known. however, the glse for large spatial data sets is computationally expens...
arxiv:1212.6596
lack of conservation has been the biggest drawback in meshfree generalized finite difference methods ( gfdms ). in this paper, we present a novel modification of classical meshfree gfdms to include local balances which produce an approximate conservation of numerical fluxes. this numerical flux conservation is done wit...
arxiv:1701.08973
we report our investigation on the input signal amplification in unidirectionally coupled monostable duffing oscillators in one - and two - dimensions with first oscillator alone driven by a weak periodic signal. applying a perturbation theory we obtain a set of nonlinear equations for the response amplitude of the cou...
arxiv:1404.5397
the paper defends the thesis that it ' s possible to maintain some conceptual preconditions of overcoming of relativistic intentions in modern philosophy of science ( " there are no any general foundations in philosophy of science " ). we found two general foundations in philosophy of science as a minimum. from the fir...
arxiv:1407.3585
due to the strong dependency of our societies onglobal navigation satellite systems and their vulnerability to outages, there is an urgent need for additional navigation systems. a possible approach for such an additional system uses the communication signals of the emerging leo satellite mega - constellations as signa...
arxiv:2304.09535
in recent years, a specific machine learning method called deep learning has gained huge attraction, as it has obtained astonishing results in broad applications such as pattern recognition, speech recognition, computer vision, and natural language processing. recent research has also been shown that deep learning tech...
arxiv:1806.08894
the main objective of this work is to study a natural class of catalytic ornstein - uhlenbeck ( o - u ) processes with a measure - valued random catalyst, for example, super - brownian motion. we relate this to the class of affine processes that provides a unified setting in which to view ornstein - uhlenbeck processes...
arxiv:1411.4907
endoscopic surgery relies on two - dimensional views, posing challenges for surgeons in depth perception and instrument manipulation. while monocular visual simultaneous localization and mapping ( mvslam ) has emerged as a promising solution, its implementation in endoscopic procedures faces significant challenges due ...
arxiv:2408.03078
the mean of a random variable can be understood as a $ \ textit { linear } $ functional on the space of probability distributions. quantum computing is known to provide a quadratic speedup over classical monte carlo methods for mean estimation. in this paper, we investigate whether a similar quadratic speedup is achiev...
arxiv:2502.05094
in this paper we present a new approach for testing qm against the realism aspect of hidden variable theory ( hvt ). we consider successive measurements of non - commuting operators on a input spin $ s $ state. the key point is that, although these operators are non - commuting, they act on different states so that the...
arxiv:quant-ph/0602005
flow harmonics ( $ v _ n $ ) in the fourier expansion of the azimuthal distribution of particles are widely used to quantify the anisotropy in particle emission in high - energy heavy - ion collisions. the symmetric cumulants, $ sc ( m, n ) $, are used to measure the correlations between different orders of flow harmon...
arxiv:1803.03876
current techniques in machine learning are so far are unable to learn classifiers that are robust to adversarial perturbations. however, they are able to learn non - robust classifiers with very high accuracy, even in the presence of random perturbations. towards explaining this gap, we highlight the hypothesis that $ ...
arxiv:1901.00532
we report vlt - isaac and keck - nirspec near - infrared spectroscopy for a sample of 30 0. 47 < z < 0. 92 cfrs galaxies and five [ oii ] - selected, m _ b, ab < - 21. 5, z ~ 1. 4 galaxies. we have measured halpha and [ nii ] line fluxes for the cfrs galaxies which have [ oii ], hbeta and [ oiii ] line fluxes available...
arxiv:astro-ph/0509114
the presence of inhomogeneities modifies the cosmic distances through the gravitational lensing effect, and, indirectly, must affect the main cosmological tests. assuming that the dark energy is a smooth component, the simplest way to account for the influence of clustering is to suppose that the average evolution of t...
arxiv:0709.3679
enumerating ramified coverings of the sphere with fixed ramification types is a well - known problem first considered by a. hurwitz. up to now, explicit solutions have been obtained only for some families of ramified coverings, for instant, those realized by polynomials in one complex variable. in this paper we obtain ...
arxiv:math/0504588
graph anomaly detection ( gad ) has achieved success and has been widely applied in various domains, such as fraud detection, cybersecurity, finance security, and biochemistry. however, existing graph anomaly detection algorithms focus on distinguishing individual entities ( nodes or graphs ) and overlook the possibili...
arxiv:2308.01063
we consider the motion of an incompressible shear - thickening power - law - like non - newtonian fluid in $ r ^ 3 $ with a variable power - law index. this system of nonlinear partial differential equations arises in mathematical models of electrorheological fluids. the aim of this paper is to investigate the large - ...
arxiv:2203.16116
within the framework of the massive o ( $ n $ ) nonlinear sigma model extended to the next - to - leading order in the chiral counting ( for $ n = 3 $ corresponding to the two ( - quark ) - flavor chiral perturbation theory ), we calculate the relativistic six - pion scattering amplitude at low energy up to and includi...
arxiv:2107.06291
accurate segmentation of power lines in various aerial images is very important for uav flight safety. the complex background and very thin structures of power lines, however, make it an inherently difficult task in computer vision. this paper presents plgan, a simple yet effective method based on generative adversaria...
arxiv:2204.07243
we study how the spectral properties of resonance fluorescence propagate through a two - atom system. within the weak - driving - field approximation we find that, as we go from one atom to the next, the power spectrum exhibits both sub - natural linewidth narrowing and large asymmetries while the spectrum of squeezing...
arxiv:physics/9902020
a solar sail is one of the most promising space exploration system because of its theoretically infinite specific impulse using solar radiation pressure ( srp ). recently, some researchers proposed " transformable spacecrafts " that can actively reconfigure their body configurations with actuatable joints. the transfor...
arxiv:2301.08435
because of the limitations of the infrared imaging principle and the properties of infrared imaging systems, infrared images have some drawbacks, including a lack of details, indistinct edges, and a large amount of salt - andpepper noise. to improve the sparse characteristics of the image while maintaining the image ed...
arxiv:1812.11725
we calculate the fiducial and differential $ w ^ { \ pm } / z ^ 0 + jet ( s ) $ production cross - sections in the presence of electroweak ( ew ) corrections through virtual loop contributions to the matrix elements ( mes ) of the processes and real partonic cascade emissions. the calculations are carried out for proto...
arxiv:2112.15487
using the quantum - mechanical approach combined with the image charge method we calculated the lowest energy levels of the impurities and neutral vacancies with two electrons or holes located in the vicinity of flat surface of different solids. we obtained that the magnetic triplet state is the ground state of the imp...
arxiv:1006.3670
extending the ideal mhd stability code mishka, a new code, mishka - a, is developed to study the impact of pressure anisotropy on plasma stability. based on full anisotropic equilibrium and geometry, the code can provide normal mode analysis with three fluid closure models : the single adiabatic model ( sa ), the doubl...
arxiv:1502.02411
the pairwise comparisons method is a convenient tool used when the relative order of preferences among different concepts ( alternatives ) needs to be determined. there are several popular implementations of this method, including the eigenvector method, the least squares method, the chi squares method and others. each...
arxiv:1401.8219
dark energy is an important science driver of many upcoming large - scale surveys. with small, stable seeing and low thermal infrared background, dome a, antarctica, offers a unique opportunity for shedding light on fundamental questions about the universe. we show that a deep, high - resolution imaging survey of 10, 0...
arxiv:1005.3810
this paper shows how to improve the real - time object detection in complex robotics applications, by exploring new visual features as adaboost weak classifiers. these new features are symmetric haar filters ( enforcing global horizontal and vertical symmetry ) and n - connexity control points. experimental evaluation ...
arxiv:0910.1293
twin - field quantum key distribution ( tf - qkd ) can beat the linear bound of repeaterless qkd systems. after the proposal of the original protocol, multiple papers have extended the protocol to prove its security. however, these works are limited to the case where the two channels have equal amount of loss ( i. e. a...
arxiv:1907.05291
variable selection in high dimensional space has challenged many contemporary statistical problems from many frontiers of scientific disciplines. recent technology advance has made it possible to collect a huge amount of covariate information such as microarray, proteomic and snp data via bioimaging technology while ob...
arxiv:1002.3315
due to the interconnectedness of financial entities, estimating certain key properties of a complex financial system ( e. g. the implied level of systemic risk ) requires detailed information about the structure of the underlying network. however, since data about financial linkages are typically subject to confidentia...
arxiv:1811.09829
due to asymptotic freedom, qcd is guaranteed to be accessible to perturbative methods at asymptotically high temperatures. however, in 1979 linde has pointed out the existence of an " infrared wall ", beyond which an infinite number of feynman diagrams contribute. following a proposal by braaten and nieto, it is shown ...
arxiv:hep-ph/0410130
the aim of object - centric vision is to construct an explicit representation of the objects in a scene. this representation is obtained via a set of interchangeable modules called \ emph { slots } or \ emph { object files } that compete for local patches of an image. the competition has a weak inductive bias to preser...
arxiv:2305.19550
the existence of the unique strong solution for a class of stochastic differential equations with non - lipschitz coefficients was established recently. in this paper, we shall investigate the dependence with respect to the initial values. we shall prove that the non confluence of solutions holds under our general cond...
arxiv:math/0311034
a timed network consists of an arbitrary number of initially identical 1 - clock timed automata, interacting via hand - shake communication. in this setting there is no unique central controller, since all automata are initially identical. we consider the universal safety problem for such controller - less timed networ...
arxiv:1806.08170
in an earlier paper, the authors introduced partial translation algebras as a generalisation of group c * - algebras. here we establish an extension of partial translation algebras, which may be viewed as an excision theorem in this context. we apply this general framework to compute the k - theory of partial translati...
arxiv:1304.7130
we give several inequalities on generalized entropies involving tsallis entropies, using some inequalities obtained by improvements of young ' s inequality. we also give a generalized han ' s inequality.
arxiv:1104.0360
we propose a new general approach for estimating the effect of a binary treatment on a continuous and potentially highly skewed response variable, the generalized quantile treatment effect ( gqte ). the gqte is defined as the difference between a function of the quantiles under the two treatment conditions. as such, it...
arxiv:1509.01042
this paper introduces an effective framework for designing memoryless dissipative full - state feedbacks for general linear delay systems via the krasovski \ u { i } functional ( kf ) approach, where an unlimited number of pointwise and general distributed delays ( dds ) exists in the state, input and output. to handle...
arxiv:2504.00165
the existing flare prediction primarily relies on photospheric magnetic field parameters from the entire active region ( ar ), such as space - weather hmi activity region patches ( sharp ) parameters. however, these parameters may not capture the details the ar evolution preceding flares. the magnetic structure within ...
arxiv:2410.18562
in this paper we prove a conjecture by wocjan, elphick and anekstein ( 2018 ) which upper bounds the sum of the squares of the positive ( or negative ) eigenvalues of the adjacency matrix of a graph by an expression that behaves monotonically in terms of the vector chromatic number. one of our lemmas is a strengthening...
arxiv:2411.08184
in the last few years we have developed stellar model atmospheres which included effects of anomalous abundances and strong magnetic field. the full treatment of anomalous zeeman splitting and polarized radiative transfer were introduced in the model atmosphere calculations for the first time. in this investigation we ...
arxiv:0806.1296
we investigate possible regimes in spatially flat vacuum cosmological models in cubic lovelock gravity. the spatial section is a product of three - and extra - dimensional isotropic subspaces. this is the second paper of the series and we consider d = 5 and general d > = 6 cases here. for each d case we found critical ...
arxiv:1807.01601
we address the effect of orientation of the accretion disk plane and the geometry of the broad - line region ( blr ) in the context of understanding the distribution of quasars along their main sequence. we utilize the photoionization code cloudy to model the blr, incorporating the ` un - constant ' virial factor. we s...
arxiv:1912.03118
we present novel neutral and uncharged solutions that describe the cluster of einstein in the teleparallel equivalent of general relativity ( tegr ). to this end, we use a tetrad field with non - diagonal spherical symmetry which gives the vanishing of the off - diagonal components for the gravitational field equations...
arxiv:2002.11471
based on many experts ' former work in the jacobian conjecture and an essential analysis of intrinsic topology of linear maps, i completely prove the jacobian conjecture by demonstrating the injectivity of real keller map of any $ n $ - dimensions.
arxiv:2008.09101
expressive text - to - speech ( tts ) has become a hot research topic recently, mainly focusing on modeling prosody in speech. prosody modeling has several challenges : 1 ) the extracted pitch used in previous prosody modeling works have inevitable errors, which hurts the prosody modeling ; 2 ) different attributes of ...
arxiv:2202.07816
quantum mechanics has been argued to be a coarse - graining of some underlying deterministic theory. here we support this view by establishing a map between certain solutions of the schroedinger equation, and the corresponding solutions of the irrotational navier - stokes equation for viscous fluid flow. as a physical ...
arxiv:1409.7036
a graph $ g $ is $ m $ - minor - universal if every graph with at most $ m $ edges ( and no isolated vertices ) is a minor of $ g $. we prove that the $ d $ - dimensional hypercube, $ q _ d $, is $ \ omega \ left ( \ frac { 2 ^ d } { d } \ right ) $ - minor - universal, and that there exists an absolute constant $ c > ...
arxiv:2501.13730
entropy serves as a central observable which indicates uncertainty in many chemical, thermodynamical, biological and ecological systems, and the principle of the maximum entropy ( maxent ) is widely supported in natural science. recently, entropy is employed to describe the social system in which human subjects are int...
arxiv:1111.2405
the concept of low - voltage depletion and accumulation of electron charge in semiconductors, utilized in field - effect transistors ( fets ), is one of the cornerstones of current information processing technologies. spintronics which is based on manipulating the collective state of electron spins in a ferromagnet pro...
arxiv:0807.0906
sports officials around the world are facing incredible challenges due to the unfair means of practices performed by the athletes to improve their performance in the game. it includes the intake of hormonal based drugs or transfusion of blood to increase their strength and the result of their training. however, the cur...
arxiv:2203.00001
the actual limit of the unitarity condition of the first row of the ckm matrix | v _ ud | ^ 2 + | v _ us | ^ 2 + | v _ ub | ^ 2 = 1 + \ delta _ ckm is \ delta _ ckm = - 0. 0001 ( 6 ). in 2010 the same was \ delta _ ckm = + 0. 0001 ( 6 ). despite the only difference of a sign, and with an absolute change of the value of...
arxiv:1408.6374
this paper studies the mutation - selection balance in three simplified replication models. the first model considers a population of organisms replicating via the production of asexual spores. the second model considers a sexually replicating population that produces identical gametes. the third model considers a sexu...
arxiv:0707.3464
{ a ∈ a : sup { ΞΌ ( b ) : b ∈ p ( a ) } < + ∞ } Γ— { 0 }. { \ displaystyle \ mu _ { \ text { sf } } = \ mu | _ { \ mu ^ { \ text { pre } } ( \ mathbb { r } _ { > 0 } ) } \ cup \ { a \ in { \ cal { a } } : \ sup \ { \ mu ( b ) : b \ in { \ cal { p } } ( a ) \ } = + \ infty \ } \ times \ { + \ infty \ } \ cup \ { a \ in {...
https://en.wikipedia.org/wiki/Measure_(mathematics)
in this paper we prove the nonlinear instability of the shear flow in three dimensional inviscid non - conducting boussinesq equations with rotation. we establish the nonlinear instability of the shear motion with respect to a general class of perturbation, by means of constructing an approximate solution containing th...
arxiv:2410.06835
the main purpose of this work is to characterize the almost sure local structure stability of solutions to a class of linear stochastic partial functional differential equations ( spfdes ) by investigating the lyapunov exponents and invariant manifolds near the stationary point. it is firstly proved that the trajectory...
arxiv:2303.04102
the last decade brought a significant increase in the amount of data and a variety of new inference methods for reconstructing the detailed evolutionary history of various cancers. this brings the need of designing efficient procedures for comparing rooted trees representing the evolution of mutations in tumor phylogen...
arxiv:2002.05600
we extend the gelfand and graev construction of generalized fourier transforms on basic affine space from split groups to quasi - split groups over a local non - archimedean field $ f $.
arxiv:1912.07071
the transportation sector is the single largest contributor to us emissions and the second largest globally. electric vehicles ( evs ) are expected to represent half of global car sales by 2035, emerging as a pivotal solution to reduce emissions and enhance grid flexibility. the electrification of buildings, manufactur...
arxiv:2503.03167
we present new theoretical tools, based on fluctuational electrodynamics and the integral - equation approach to computational electromagnetism, for numerical modeling of forces and torques on bodies of complex shapes and materials due to emission of thermal radiation out of thermal equilibrium. this extends our recent...
arxiv:1708.01985
diffusion models have enabled high - quality, conditional image editing capabilities. we propose to expand their arsenal, and demonstrate that off - the - shelf diffusion models can be used for a wide range of cross - domain compositing tasks. among numerous others, these include image blending, object immersion, textu...
arxiv:2302.10167
a procedure and optical concept is introduced for ultrashort pulsed laser cleaving of transparent materials with tailored edges in a single pass. the procedure is based on holographically splitting a number of foci along the desired edge geometry including c - shaped edges with local 45 { \ deg } tangential angles to t...
arxiv:2111.01612