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2,877,628,091,154
arxiv
\section{Introduction} Thermodynamic properties of a strongly interacting matter at nonzero baryon density and high temperature were quantified numerically within Lattice QCD (LQCD) \cite{L_lgt1,L_lgt2,L_lgt3}. The LQCD results demonstrate that QCD exhibits both dynamical chiral symmetry breaking and confinement ...
2,877,628,091,155
arxiv
\section{Introduction: The General Concept of Superiorization} Given an algorithmic operator $\mathcal{A}:X\rightarrow X$ on a Hilbert space $X$, consider the iterative process \begin{equation} x^{0}\in X,\;x^{k+1}=\mathcal{A}\left(x^{k}\right),\;\mathrm{for}\,\mathrm{all}\;k\geqslant0,\label{eq:iter-proc-basic...
2,877,628,091,156
arxiv
\section{Introduction} In linear response transport through quantum dots the spin Kondo effect shows up a as a plateau in the linear conductance $G$ when varying the level positions by an external gate voltage $V_g$, often referred to as a {\it Kondo ridge.}\cite{Hewson,Glazman,Ng,Goldhaber,Cronenwett,Schmid,Wiel} ...
2,877,628,091,157
arxiv
\section{Introduction} \label{sec:intro} This work studies to what extent voice can hint face geometry motivated by recent studies on voice-face matching and cross-modal learning \cite{nagrani2018seeing, Wen_2021_CVPR, zheng2021adversarial}. Many physiological attributes are embedded in voices. For example, speec...
2,877,628,091,158
arxiv
\section{Introduction} Usually, in quantum field theory, the Wilson loop operator is defined as $$W(C)=\dfrac{1}{N}TrPe^{i\oint_{C}A},$$ where $C$ denotes a closed loop in space-time and the trace is over the fundamental representation of the gauge field $A$ with $SU(N)$ symmetry. In the particular case of a rectang...
2,877,628,091,159
arxiv
\section{Introduction} Microalgae have recently received more and more attention in the frameworks of CO$_2$ fixation and renewable energy \cite{Huntley2007, Chisti2007}. Their high actual photosynthetic yield compared to terrestrial plants (whose growth is limited by CO$_2$ availability) leads to large potential alg...
2,877,628,091,160
arxiv
\section*{The first negative Fourier coefficient of an Eisenstein series newform} \section{Introduction} For a Dirichlet character $\chi$ and a positive integer $N$, we will denote by $ M_k(N,\chi)$ the vector space of modular forms on $\Ga_0(N)$ of weight $k$, level $N$ and character $\chi$. Let $E_k(N,\chi)$ be t...
2,877,628,091,161
arxiv
\section{Introduction} Detecting neutrino oscillations \cite{key-1} in atmospheric and solar neutrino fluxes (and then observing the same phenomenon in reactor and accelerator experiments) stands as a milestone in particle physics of the last decade. This compelling experimental evidence proves that a suitable theory ...
2,877,628,091,162
arxiv
\section*{\large{\textsf{Acknowledgement}}} The author is grateful to Ingemar Bengtsson, Brett McInnes, Michael Good, Sabine Hossenfelder, and Carmen Li for useful comments and discussions. He also thanks Baocheng Zhang for pointing out a crucial mistake in the previous version of this work.
2,877,628,091,163
arxiv
\section{\sc Introduction} A finite permutation group $(G,\, \Omega)$ is {\it minimally transitive } if $G$ is transitive on $\Omega$ while all proper subgroups of $G$ are intransitive on $\Omega.$ Evidently, any transitive permutation group contains minimally transitive subgroups acting on the same set and so this c...
2,877,628,091,164
arxiv
\section{Introduction} In today's digital society, protecting Internet privacy has become more important than ever. The growing demand for online anonymity has resulted in advanced technical solutions to satisfy this need. With around 2.2~million daily users~\cite{tor-metrics}, the Tor network~\cite{d...
2,877,628,091,165
arxiv
\section{Introduction} A classical problem in mechanics is the study of the rotation of a heavy rigid body with a fixed point. An important special case is the case of symmetric top or Lagrangian top, see \cite{arnold}, for which the inertia ellipsoid at fixed point is an ellipsoid of revolution and whose center of ...
2,877,628,091,166
arxiv
\section{Introduction} \label{sec:intro} In this paper we study the critical focusing wave equation \begin{equation} \label{eq:mainintro} (-\partial_t^2 +\Delta)u(t,x)+u(t,x)^5=0 \end{equation} for $u: I\times \mathbb{R}^3\to\mathbb{R}$, $I\subset \mathbb{R}$ an interval. It is well-known that the Cauchy problem for ...
2,877,628,091,167
arxiv
\section{Introduction} Since 1934, the U.S. Securities and Exchange Commission (SEC) mandates that public companies disclose information in form of public filings to ensure that adequate information is available to investors. One such filing is the 10-K, the company's annual report. It contains financial statements a...
2,877,628,091,168
arxiv
\section{Detailed Description of $\textsc{Facet}$} \label{sec:app-language} Programs in $\textsc{Facet}$ are parameterized by a language $(\mathcal{L},\mathcal{M},\models)$, where the semantic function $(\_\,\models\,\_) \,:\, \mathcal{L}\times\mathcal{M}\rightarrow D$ specifies the domain $D$ in which expressions are...
2,877,628,091,169
arxiv
\section{Introduction} Dark matter (DM) contributes a significant fraction to the energy density of the Universe, with an abundance about five times as large as that of baryonic matter. However, our knowledge about this prevalent form of mass in the Universe is quite limited. The dark sector could very well consist of...
2,877,628,091,170
arxiv
\section{Introduction} \noindent{\bf{\em Introduction:}} While stationary black holes in 4 spacetime dimensions (4D) are stable to perturbations, higher dimensional analogues are not. Indeed, as first illustrated by Gregory and Laflamme in the early 90s~\cite{Gregory:1993vy}, black strings and p-branes are linearly ...
2,877,628,091,171
arxiv
\section*{Appendix 1} \label{sec:appendix-2} This section presents the set of hyper parameters used in XGboost algorithm to run the experiments. The configuration attributes are: \begin{itemize} \item booster = ``gbtree''; \item objective = ``reg:linear''; \item eta = $0.05$; \item max\_depth = $2$; ...
2,877,628,091,172
arxiv
\section{\@startsection {section}{1}{\z@}% {-3.5ex \@plus -1ex \@minus -.2ex}% {2.3ex \@plus.2ex}% {\normalfont\fontfamily{phv}\fontsize{16}{19}\bfseries}} \renewcommand\subsection{\@startsection{sub...
2,877,628,091,173
arxiv
\section{Introduction} \paragraph{Games over hybrid systems.} Hybrid systems are finite-state machines equipped with a continuous dynamics. In the last thirty years, formal verification of such systems has become a very active field of research in computer science, with numerous success stories. In this context, hybri...
2,877,628,091,174
arxiv
\section{Local Navigation and multi-robot Simulation}\label{sec:simulation_model} In this section, we describe a simulation environment that we developed for testing the performance of the proposed framework under uncertainty. An indoor environment is used to demonstrate the possible use of the system in a museum en...
2,877,628,091,175
arxiv
\section{Introduction} The COVID-19 pandemic started in December 2019 in China and subsequently spread fast in the rest of the world. After an initial ``hesitant" approach, most countries essentially adopted rules of social distancing that also originated in China. Several countries delayed the imposition of measures a...
2,877,628,091,176
arxiv
\section{Introduction} There are many common physical processes and other similarities in the study of the Heliosphere and of the astrospheres of massive stars, but also a few differences. Observations have shown the structure of the Solar Wind \citep{BalBadBon19, KasBalBel19} and Heliosphere \citep{McCAllBoc09, DiaKri...
2,877,628,091,177
arxiv
\section{Field equations}\label{sec:appendixA} In the following sections we will provide the basic ingredients to compute, {\it ab initio}, the equations describing metric perturbations in the dRGT theory which generalises the original formulation of Ref.~\cite{deRham:2010kj} to arbitrary metrics \cite{Hassan:2012ka}...
2,877,628,091,178
arxiv
\section{Introduction} A family of probability distributions is called a statistical model. Maximum likelihood estimation is a method of estimating the true probability distribution as the one that maximizes the likelihood of the observed data. The probability distribution (or often the point in an associated parameter...
2,877,628,091,179
arxiv
\section*{Appendices} \section{Diquark and tetraquark operators} \label{app:tetraquark} In this appendix we present some additional details of the diquark and tetraquark operators. Consider a diquark operator, $\delta(\vec{x},t) = \sum \text{CGs} \ q^T(\vec{x},t) (C \Gamma) q (\vec{x},t)$, where CGs refers to the Clebs...
2,877,628,091,180
arxiv
\section{Introduction} Given a finite group $G$ and a locally compact, Hausdorff, paracompact $G$-space $X$, the $n$-th direct product $X^n$ admits a natural action of the wreath product $G_n = G \sim S_n$ which is a semi-direct product of the $n$-th direct product $G^n$ of $G$ and the symmetric group $S_n$. The main ...
2,877,628,091,181
arxiv
\section{Introduction} A conformal measure for a discrete dynamical system made it first appearance in the work of D. Sullivan, \cite{S}, in connection with rational maps on the Riemann sphere, before the notion was coined and introduced in a more general setting by M. Denker and M. Urbanski in \cite{DU}. Conformal me...
2,877,628,091,182
arxiv
\section{Introduction} A fundamental expectation of a quantum theory of gravity is that it will cure the problems that plague classical general relativity. One hopes, for example, that singularities get resolved in quantum gravity \cite{cm69,bb84,kr97,ymo00,bt06}, that quantum gravity will provide the theoretcial fo...
2,877,628,091,183
arxiv
\section{Introduction} Complex systems, e.g., meteorological, economical or physiological systems, generally exhibit nonequilibrium processes, one of whose manifestations is a lack of time reversibility. Time reversibility is the property of invariance with respect to time reversal, and its lack is defined as time irr...
2,877,628,091,184
arxiv
\section{Introduction} Let $F$ be an algebraically closed field of characteristic $p\geq 0$ and $G$ be a group. In general, given irreducible $FG$-representations $V$ and $W$, the tensor product $V\!\otimes\! W$ is not irreducible. We say that $V\!\otimes\! W$ is a non-trivial irreducible tensor product if $V\!\...
2,877,628,091,185
arxiv
\section*{Acknowledgment} We gratefully acknowledge the support of NVIDIA Corporation with a donation of a Titan XP GPU used in this research. \section{Conclusion} Detecting action units is an important task in face analysis, especially in facial expression recognition. This is due, in part, to the idea that expressio...
2,877,628,091,186
arxiv
\section*{To Editor} \section{Introduction} It is now well understood that entanglement is the key resource for implementation of many quantum information protocols like teleportation, cryptography, logic operations and quantum communications \cite{niel, duetch, shor, bennett, zei, divincenzo}. Bi-partite entanglement ...
2,877,628,091,187
arxiv
\section{Introduction} Recently, many efforts have devoted into the studies of single-photon sources (SPS) composed of quantum dots (QDs), which provide the potential applications of quantum cryptography and quantum computing$^{1-3}$. For small size QDs, the strong three dimensional confinement effect of QDs causes the...
2,877,628,091,188
arxiv
\section{Introduction} \label{sec:intro} The use of large-scale multiple antenna systems, known as Massive MIMO, has emerged as a leading concept for advancing wireless communications infrastructure. The design of such systems, however, comes with inherent challenges in terms of analog hardware and computational comp...
2,877,628,091,189
arxiv
\section{Introduction} Undoubtedly one of the most powerful theorems in topology is Tychonoff's theorem, saying that arbitrary products of compact (not necessarily Hausdorff) spaces are again compact. As observed by Kelley \cite{Kelley} already in the early fifties of the last century, this theorem is equivalent to...
2,877,628,091,190
arxiv
\section{Introduction} \label{Introduction} Among coma and coma-like states, Locked-in Syndrome (LIS) might be one of the hardest diagnostic challenges medical professionals are facing today. A complete description of LIS, contemporary diagnostic challenges and attempts made to overcome these challenges can be found in...
2,877,628,091,191
arxiv
\subsection{#1}} % \newcommand{\refsecapp}[1]{Section~\ref{#1}} \newcommand{\Refsecapp}[1]{Section~\ref{#1}} \newcommand{\reftwosecapps}[2]{Sections~\ref{#1} and~\ref{#2}} \newcommand{\Reftwosecapps}[2]{Sections~\ref{#1} and~\ref{#2}} \newcommand{Section\xspace}{Section\xspace} \newcommand{section\xspace}{sect...
2,877,628,091,192
arxiv
\section{Introduction} \label{sec-intro} It is known that the investigations of long range rapidity correlations give the information about the initial stage of high energy hadronic interactions \cite{Dumitru08}. So, to find a signature of the string fusion and percolation phenomenon \cite{Biro84,Bialas86,BP92,BP93} in...
2,877,628,091,193
arxiv
\section{Introduction} In current star formation theories, stars initially form in clusters or groups. The same initial mass function (IMF) between field stars and young embedded clusters provides direct evidence of this\citep{Lada03}. More than 70\% of stars originated from clusters or groups according to a survey of ...
2,877,628,091,194
arxiv
\section{Introduction} \label{sec:intro} Image-base salient object detection (SOD) aims to detect and segment objects that capture human visual attention, which is a preliminary step for subsequent vision tasks such as object recognition and tracking. Over the past decades, many benchmark datasets~\cite{yan2013hierarc...
2,877,628,091,195
arxiv
\section{INTRODUCTION} Discrete-time random walks employing a quantum coin originated in 1993 with the publication of \cite{ADZ93}. Since then, inspired by the promise of applications to the development of super-fast algorithms, especially after the publication of \cite{ NV00, AAKV01, ABNVW01} in the years 2000 and 20...
2,877,628,091,196
arxiv
\section{Introduction} \label{sec:intro} The theory of cosmic inflation was originally advocated as a solution to the flatness and horizon problems \cite{Guth1981, Linde1982} of the big-bang cosmology. When treated quantum-mechanically, inflation can also provide a mechanism for the generation of the perturbations tha...
2,877,628,091,197
arxiv
\section{Introduction} As the demand for higher-quality images explodes, the integration level of the mobile camera sensors rapidly grows, which results in smaller pixel sizes. However, the smaller pixel sizes of the sensor directly impact the image quality, especially in a low-light environment. Pixel-binning has bee...
2,877,628,091,198
arxiv
\section{Introduction.} Heinz Hopf in \cite{Ho} showed that any immersed constant mean curvature topological sphere in $\mathbb{R}^{3}$ must be a round sphere. To do so, he introduced a quadratic differential on any constant mean curvature surface, the Hopf differential, that turns out to be holomorphic for the confo...
2,877,628,091,199
arxiv
\section{Introduction} \label{Introduction} In a recent paper \emph{"Nonparameteric Analysis of Random Utility Models"}, \cite{kitamura2012} (henceforth KS) develop a test for nonparametric testing of Random Utility Models (RUM). They test the hypothesis that a repeated cross-section of demand data might have been gen...
2,877,628,091,200
arxiv
\section{Introduction} Phenomena in spin glasses represent one of the central topics of modern solid state physics; they are of fundamental interest and also have a variety of possible applications \cite{Mydosh93}. The spin-glass state is realized in intermetallic alloys, for instance, when ions of a magnetic metal (li...
2,877,628,091,201
arxiv
\section{Analysis} \label{sect:analysis} \marco{We follow the same approach in formally proving two of our main results, \marco{Theorem \ref{thm-homo-convergence} and Theorem \ref{thm:convergence-hetero}}. The approach comprises two main steps.} Firstly, we show that the evolution of market share $\boldsymbol{\phi}$...
2,877,628,091,202
arxiv
\section{Introduction} Recent HST proper motion measurements of the Magellanic Clouds by Kallivayalil et al. (20006a,b) and \cite{ Piatek07} indicate that they are presently moving at velocities substantially higher (almost 100 km s$^{-1}$) than those provided by previous observational studies (van der Marel et al...
2,877,628,091,203
arxiv
\section{Introduction and context} Visibility is reduced in fog because the tiny droplets of water suspended in air cause random multiple scattering of light, thereby degrading the image-bearing capabilities of photons. This is detrimental to many imaging applications of optics in open air, based either on passive imag...
2,877,628,091,204
arxiv
\section{Introduction} There are several models for describing CP violation by scalar dynamics. Spontaneous CP violation~\cite{W,B} is one of the interesting schemes, especially where CP is broken simultaneously with SU(2)$_L\times$U(1)$_Y$. This kind of models has been widely studied (see {\it e.g.} Refs.~\cite{S,...
2,877,628,091,205
arxiv
\section{Introduction} \label{sec:intro} The identification of the particle dark matter (DM) is one of the most challenging tasks in theoretical and experimental particle physics. Although the extensive searches to date yield null results, tremendous progress has been made in recent years in the underground direct se...
2,877,628,091,206
arxiv
\section{Introduction} \label{sec:intro} The exponential growth of out-of-time-order correlator (OTOC) \cite{Larkin} has attracted considerable attention these years, motivated by possible relations between black hole systems and quantum mechanical systems through the AdS/CFT correspondence \cite{Maldacena:1997re}...
2,877,628,091,207
arxiv
\section*{\small}} \renewcommand{\bibfont}{\small} \renewcommand{\bibsep}{2pt} \usepackage[font=small,labelfont={color=black,bf},textfont={color=black},format=plain,indention=0cm,justification=centerlast,skip=0.1cm]{caption,subfig} \makeatletter \renewcommand{\fnum@figure}{\textbf{\small\mbox{Fig.~\thefigure}}} \renew...
2,877,628,091,208
arxiv
\section{Introduction} D-finiteness and operations preserving D-finiteness play an important role in computer algebra. A function is called D-finite if it is annihilated by a nonzero linear operator with polynomial coefficients. Annihilating operators are used to represent D-finite functions, and to perform operation...
2,877,628,091,209
arxiv
\section{Introduction} Topological systems are characterized by edge excitations that are remarkably robust to perturbations. They arise due to a bulk-boundary correspondence, where geometric properties of the bulk band-structure control the nature of excitations at the edge when the system is placed in a confined g...
2,877,628,091,210
arxiv
\section{Introduction}\label{sec:introduction} Deep reinforcement learning has seen numerous successes in recent years~\citep{silver2017mastering,openai2018dexterous,vinyals2019grandmaster}, but still faces challenges in domains where data is limited or expensive. One candidate solution to address the challenges and ...
2,877,628,091,211
arxiv
\section{Introduction} In recent Lewkowycz and Maldacena [1] proposed the generalization of the usual black hole entropy formula [2-5] to Euclidean solutions without a Killing vector. Let us briefly describe it in below. For a general quantum system the Euclidean evolution generates an un-normalized density matr...
2,877,628,091,212
arxiv
\section{Introduction} Although some aspects of the QCD phase structure have been revealed in the past years, still many things are unknown and require more thorough investigation. Regarding the chiral and deconfinement transition, we have learned from lattice QCD data that for small baryochemical potentials, the ...
2,877,628,091,213
arxiv
\section{Introduction}\label{sec_intro} \IEEEPARstart{E}{dge} caching is a promising technology to deal with the high demands on backhaul by bringing popular content closer to the network edge. As such, it is a promising component for future wireless cellular networks facilitated by edge intelligence \cite{M.MaddahAli...
2,877,628,091,214
arxiv
\section*{Acknowledgements} \input{Acknowledgements} \printbibliography \end{document} \section{Introduction} \label{sec:intro} In order to enhance the capability of the experiments to discover physics beyond the Standard Model, the Large Hadron Collider (LHC) operates at the conditions yielding the highest ...
2,877,628,091,215
arxiv
\section{Introduction} \subsection{Outline of the main results} Let $G$ be a finite group and $V$ a $G$-module of finite dimension over a field $\F$. By a classical theorem of E. Noether \cite{noether:1926} the \emph{algebra of polynomial invariants} on $V$, denoted by $\F[V]^G$, is finitely generated. Set \...
2,877,628,091,216
arxiv
\section{Introduction} Most of the success of physics in the 20th century has been achieved as a result of the applications of two philosophies.The first is the {\it Quantization Philosophy} and the second is the {\it Geometerization Philosophy}. The consequences of applying the first is the {\it Quantum Theory}, while...
2,877,628,091,217
arxiv
\section{Introduction} Due to the nonlinearity of Einstein's equation, it is virtually impossible to integrate it analytically without imposing restrictions over the initial ansatz. The most common way of doing so is by the imposition of symmetries. For instance, Schwarzschild solution has been found assuming th...
2,877,628,091,218
arxiv
\section*{Abstract} The task of the brain is to look for structure in the external input. We study a network of integrate-and-fire neurons with several types of recurrent connections that learns the structure of its time-varying feedforward input by attempting to efficiently represent this input with spikes. The effic...
2,877,628,091,219
arxiv
\section{Introduction} The problem of flame propagation in a flow of gaseous mixture with a fixed ignition point is important from both experimental and theoretical points of view. In fact, relative simplicity of practical realization and importance in applications made anchored flames one of the most popular topics i...
2,877,628,091,220
arxiv
\section{Introduction to holographic space-time\cite{holost}} This paper is the written version of a talk given at the conference celebrating the 80th birthday of Murray GellMann at the Nanyang Technical University in Singapore. I'd like to thank Harald Fritzsch and the other organizers of the conference for inviting ...
2,877,628,091,221
arxiv
\section{Introduction} \label{sec:intro} The \textsc{Steiner Tree} (ST) problem is one of the earliest and most fundamental problems in combinatorial optimization: given an undirected graph $G=(V,E)$ and a set $T\subseteq V$ of terminals, the objective is to find a tree of minimum size which connects all the terminal...
2,877,628,091,222
arxiv
\section{Introduction} \label{1} Detection of intermediate- and high-energy neutrons is important to identify reaction channels and to extract nuclear structure information for experiments using nuclear reactions, e.g. ($p$,$ppn$) \cite{p2pn}, ($p$,$nd$) \cite{pnd} and ($e$,$e'pn$) \cite{eepn1,eepn2} reactions. However...
2,877,628,091,223
arxiv
\section{Introduction}\label{Sec_01} The one--sample log--rank test is the method of choice for single--arm Phase II trials with time--to--event endpoint. It allows to compare the survival of the patients to a prefixed reference survival curve that typically represents the expected survival under standard of care. Firs...
2,877,628,091,224
arxiv
\section{Introduction}\label{s:intro} \subsection{Interval and circular-arc hypergraphs} An \emph{interval ordering} of a hypergraph $\ensuremath{\mathcal{H}}$ with a finite vertex set $V=V(\ensuremath{\mathcal{H}})$ is a linear ordering $v_1,\ldots,v_n$ of $V$ such that every hyperedge of $\ensuremath{\mathcal{H}}$ ...
2,877,628,091,225
arxiv
\section{Related Work} \label{sec:related} Related work to this paper consists of approaches for source code summarization. As with many research areas, data-driven AI-based approaches have superseded heuristic/template-based techniques, though overall the field is quite new. Work by Haiduc~\emph{et al.}~\cite{haidu...
2,877,628,091,226
arxiv
\section{Introduction} One of the purposes of spintronics is to control the magnetization direction of a ferromagnet by using electric currents instead of an external magnetic field. Recently the magnetization reversal due to spin-transfer-torque effect \cite{Slonczewski96, Berger96} has been intensively investigated,...
2,877,628,091,227
arxiv
\section{\textnormal{Introduction}} \end{center} The Selberg and Ruelle zeta functions are dynamical zeta functions, which can be associated with the geodesic flow on the unit sphere bundle $S(X)$ of a compact hyperbolic riemannian manifold $X$. Namely, they provide information about the lenghts of the closed ge...
2,877,628,091,228
arxiv
\section{Introduction} The Raviart-Thomas finite element spaces were introduced in \cite{RT,T}, and extended to the three-dimensional case by N\'ed\'elec \cite{N}, to approximate second order elliptic problems in mixed form. After publication of that paper there has been an increasing interest in the analysis of these...
2,877,628,091,229
arxiv
\section{Introduction} \label{Sec-intro} \vskip -10pt Wolf-Rayet (WR) stars are the evolved descendants of massive O-type stars. Mass loss during the main-sequence phase, possibly aided by episodic mass ejection during the Luminous Blue Variable (LBV) stage and/or Roche-lobe overflow in close binary systems, strips ...
2,877,628,091,230
arxiv
\section{Methods} \linebreak\indent This research was supported in part by the Division of Materials Science and Engineering, U.S. Department of Energy and the Center for Nanophase Materials Sciences (CNMS), sponsored by the Division of Scientific User Facilities, U. S. Department of Energy. AS-S is grateful a CNPq fel...
2,877,628,091,231
arxiv
\section{Brief survey of population models} Evolution equations, describing population dynamics, are widely employed in various branches of biology, ecology, and sociology. The main forms of such equations are given by the variants of the predator-prey Lotka-Volterra models. In this paper, we introduce a novel c...
2,877,628,091,232
arxiv
\section{Introduction} In life when we observe some object, we often collect information from multiple perspectives. For example, we measure differences and similarities of certain animal species by color, sex, height, weight etc, which we call features (or explanatory, independent variables). This unavoidably will end...
2,877,628,091,233
arxiv
\section{Introduction} The use of lattice techniques has proved very fruitful in gauge theories. This is mainly due to two reasons: lattices provide a regularization procedure compatible with gauge invariance and they allow to put the theory on a computer and to calculate observable quantities. Based on these success...
2,877,628,091,234
arxiv
\section{Introduction} \label{sec:intro} Recent developments in large interferometers (e.g.,\,ALMA and NOEMA) have made it possible to spatially resolve the brightness distribution of \add{many more} astronomical objects. These observations have enabled us to obtain a three-dimensional (R.A., Dec., and the line-of-sig...
2,877,628,091,235
arxiv
\section{Introduction} We investigate graphs and families of graphs which asymptotically behave like strongly regular graphs (SRGs). In particular, we generalize existence conditions. Our interest stems from the fact that for some extremal problems such as the cap set problem or optimally pseudorandom clique-free grap...
2,877,628,091,236
arxiv
\section{Movie} \section{Equations of motion for two incoming photons} In this Section, we give the equations of motion that were used to do the numerics for two incoming photons and to obtain Fig.~3(a,b) in the main text. In the case of two incoming photons, the full density matrix \begin{eqnarray} \rho(t) &...
2,877,628,091,237
arxiv
\section{Introduction} \label{introduction} Cataclysmic variables (CVs) are close binary systems composed of a white dwarf (WD) primary and a secondary that transfers mass to the primary. The secondary fills its Roche lobe and its overflowing matter pours onto the primary through the inner Lagrangian point $L_1$. Dwarf...
2,877,628,091,238
arxiv
\section{Introduction} The recent article \cite{Das1} investigates two important measures of risk contagion for a given bivariate random vector $(Z_1,Z_2)$, namely the marginal mean excess (MME) and the marginal expected shortfall (MES). Specifically, under the assumption that $\E{\abs{Z_1}}< \infty$ the MME is...
2,877,628,091,239
arxiv
\section{Introduction} Skin effect is a familiar phenomenon in electrodynamics that the distribution of an alternating electric current density inside a conductor tends to concentrate close to the surface of the conductor \cite{Lamb}. Recently the existence of skin effect has been revealed in non-Hermitian Hamiltonian ...
2,877,628,091,240
arxiv
\section{Introduction} Quantum mechanics allows distant parties to establish certain correlations that are impossible in the classical world. These correlations are nonlocal, in the sense that they violate Bell inequality \cite{Bel64,CHSH69}. However, as first shown by Tsirelson\cite{Tsi80}, their violation is still b...
2,877,628,091,241
arxiv
\partial{\partial} \def\parallel{\parallel} \def\rangle{\rangle} \def\subset{\subset} \def\subseteq{\subseteq} \def\simeq{\simeq} \def\supset{\supset} \def\supseteq{\supseteq} \def\mathop{\rm tr}\nolimits{\triangle} \def\times{\times} \def\underline{\underline} \def\wedge{\wedge} \def\widehat{\widehat} \de...
2,877,628,091,242
arxiv
\section{Introduction} In this paper, we present a Dutch-based FAQ retrieval system trained using a limited amount of training data. FAQ answering is the task of retrieving the right answer given a new user query. It is widely used in chatbots and has been studied for many years \cite{hammond1995faq,sneiders1999autom...
2,877,628,091,243
arxiv
\section{Introduction} \begin{flushright} \begin{quote} \vspace{0.5cm} \hspace{4.5cm} My days sprint past me like runners,\\ \hspace{4.5cm} I will never see them again.\footnote{{\sl The Book of Job}, translated by Stephen Mitchell, HarperPrennial, New York, 1992.}\\ \vspace{0.5cm} \hspace{8.5cm} Job \...
2,877,628,091,244
arxiv
\section*{Supplementary Information} \section{\label{SM}Samples and experimental techniques} For this work we used commercially obtained SrTiO$_{3}$ and Sr$_{1-x}$Ca$_{x}$TiO$_{3}$ ($x=0.0022$, 0.0045 and 0.009) single crystals. The nominal calcium concentration of two samples was checked using the Secondary Ion Mass ...
2,877,628,091,245
arxiv
\section{Introduction} Distinguishing entanglement from separability is one of the most important question in the theory of quantum entanglement, and the positive partial transpose (PPT) criterion \cite{choi-ppt,peres} gives a simple but strong necessary condition for separability. The PPT condition is actually ...
2,877,628,091,246
arxiv
\section{introduction} \label{sec:intro} \input{intro} \section{analysis} \label{sec:analysis} \input{analysis} \section{OpenStreetCab: A mobile app for cheap taxi fare discovery} \label{sec:app} \input{application} \section{analysis of potential savings} \label{sec:evaluation} \input{evaluation} \section{sur...
2,877,628,091,247
arxiv
\section{Introduction} {The Arnowitt Deser Misner (ADM)} formalism \cite{ADM} in general relativity (GR) expresses the Einstein field equations in canonical form, thus permitting a solution of particular field/matter configurations formulated as initial value problems. As a canonical Hamiltonian formulation tha...
2,877,628,091,248
arxiv
\section{Comments on misalignments sub-samples} \label{sec:subsamples} As explained in Section~\ref{sec:misalignments}, all 20$k$ samples of each scenario considered have been produced as 10 sub-samples of 2$k$ events, each of which using a different set of the 10 sets of a particular misalignment scenario. This proc...
2,877,628,091,249
arxiv
\section{Introduction} The study of symmetries in physics has helped to the simplification of difficult problems. For example, the symmetries in the Hamiltonian dynamical evolution of a quantum system can be related to the definition of different conservation laws which, as in the classical theory, can be used to answ...
2,877,628,091,250
arxiv
\section{Introduction} Nonlocal models have recently received a great attention due to their apparent ability to capture novel effects such as in mechanics \cite{teodor2014fractional} and in particular in peridynamics \cite{silling2000,ha2010studies}, turbulence \cite{chen2006speculative}, biophysics \cite{bueno2014f...
2,877,628,091,251
arxiv
\section{Introduction}\label{ss:intro} As learning algorithms increasingly get deployed to inform decision making, a growing literature has emerged that seeks to provide valid estimation of treatment effects in high dimensions \citep{li2021bounds,mozer2020,chernozhukov2018double,yoon2018ganite,wager2018estimation,s...
2,877,628,091,252
arxiv
\section{Introduction.}\label{intro} \section{Introduction} \label{sec:introduction} Consider two zero-mean jointly normal random variables, and the expectation of their maximum. Should they be uncorrelated, the expectation of the maximum is $\frac{1}{\sqrt{\pi}}$. With correlation $\frac{1}{2}$ the expectation ...
2,877,628,091,253
arxiv
\section{Introduction} We study a reformulation (following Constantin \cite{Const_EL_Local_2000}) of the incompressible Euler equations on a domain ${\TT^n}:=\RR^n/2\pi\ZZ^n$ in the absence of external forcing. The Euler equations model the flow of an incompressible inviscid fluid and are (classically) formulated in t...