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2,877,628,088,854
arxiv
\section{Introduction} Offering excellent stiffness-to-weight ratios, high damping, and a~low sensitivity to fatigue and corrosion, \MT{filament wound }{}carbon fiber reinforced polymers (CFRPs) are employed in high-tech applications\hl{, including bodies of racing cars} in automotive\MT{}{~\citep{Friedrich2013}}, \hl...
2,877,628,088,855
arxiv
\section{Introduction} Cardiac auscultation is a critical stage in the diagnosis and examination of heart functionality. Phonocardiogram (PCG) provides a recording of subaudible sounds and murmurs from the heart and allows cardiologists to interpret the closure of the heart valves. Heart sounds can reflect the hemodyn...
2,877,628,088,856
arxiv
\section{Introduction}\label{se:introduction} \emph{Graph drawing} is a well-established research area that studies how to automatically compute visual representations of relational data sets in many application domains, including software engineering, circuit design, computer networks, database design, social science...
2,877,628,088,857
arxiv
\section{Introduction} Since Arlo Landolt's (1968) discovery of the first DAV \mbox{(HL Tau 76)} we have learned much about pulsating white dwarfs. They are otherwise normal white dwarf stars, and they represent the final stage of about 98\% of the stars (see the recent review of \citealt{winget2} and references there...
2,877,628,088,858
arxiv
\section{Introduction} \label{Sec:Intro} Two points in \Teich space determine a unique \Teich geodesic that connects them. One would like to understand the behavior of this geodesic and how the given data, two end points $x,y$ in $\mathcal{T}(S)$ \Teich of a surface $S$, translate to concrete information about the ...
2,877,628,088,859
arxiv
\section{Definitions and Preliminaries} In the study of dynamical systems the Artin-Mazur zeta function is the generating function for counting periodic points. For any set $X$ and map $f:X\to X$ it is a formal power series defined by \begin{equation} \zeta_f(X;t)=\exp\left( \sum_{n=1}^\infty \#(\text{Fix}(f^n))\frac{...
2,877,628,088,860
arxiv
\section{Introduction} The experimental programs at Super Proton Synchrotron (SPS) at CERN, Relativistic Heavy Ion Collider (RHIC) at BNL and Large Hadron Collider (LHC) at CERN open up an window onto the properties of Quantum Chromodynamics (QCD) at high temperatures in guise of quark-gluon plasma (QGP). Following...
2,877,628,088,861
arxiv
\section{Introduction} In this paper, we study secure communications in multi-user interference networks from an information-theoretic point of view. The security of communication was first studied by Shannon via a noiseless wiretap channel \cite{Shannon:1949}. Noisy wiretap channel was introduced by Wyner who determi...
2,877,628,088,862
arxiv
\section{Introduction and summary} Mass-deformed Lie superalgebras continue to play an important r\^ole in deepening our understanding of the gauge-gravity correspondence\footnote{Because we will be dealing with string theory backgrounds which do not contain an $AdS$ subspace, and non-conformal dual field theories...
2,877,628,088,863
arxiv
\section{\textbf{Introduction}} OB associations are low-density groups of young stars, typically containing many prominent OB stars as well as numerous low-mass stars \citep{blaauw1991,brown1999}. They are technically divided into OB associations, which contain bright OB stars, and T associations, containing prominent...
2,877,628,088,864
arxiv
\section*{Appendices} \subsection*{The ER=EPR `counterexample'} {\em Classical 3-Manifold structure}: We start by considering the prime counterexample considered in the ER=EPR proposal \cite{Maldacena13}. This consists of a pair of black holes connected by an Einstein Rosen bridge. (Physically, this might correspond ...
2,877,628,088,865
arxiv
\section{INTRODUCTION} \label{section_intro} Variable star discoveries provide information on stellar properties, formation, and evolution, and are critical for determining distances and ages of astronomical objects. Eclipsing binaries allow the measurement of masses, radii, and temperatures, and can be used to test s...
2,877,628,088,866
arxiv
\section*{Acknowledgments} The acknowledgments should go immediately before the references. Do not number the acknowledgments section. \textbf{Do not include this section when submitting your paper for review.} \fi \bibliographystyle{acl_natbib} \section{Introduction} \label{sec:intro} Keeping readers engaged in a...
2,877,628,088,867
arxiv
\section{Introduction}\label{sec1} The solutions of the semilinear elliptic equation \begin{equation}\label{eq1} -\Delta u + V(x)u = f(x,u),\quad x\in \mathbb{R}^N, \quad N\geq 3, \end{equation} play a pivotal role in the search for certain kinds of solitary waves of Klein-Gordon or Schr\"{o}dinger nonlinear type equ...
2,877,628,088,868
arxiv
\section{Introduction} Since the first experimental realizations of Bose--Einstein condensation in cold atomic gases in 1995 \cite{WieCor-95,Ket-95}, the rigorous understanding of the condensation from basic laws of quantum physics has become a major problem in mathematical physics. In the present paper, we will in...
2,877,628,088,869
arxiv
\section*{Introduction} \input{sections/introduction.tex} \input{sections/methods.tex} \input{sections/results.tex} \input{sections/discussion.tex} \input{sections/acknowledgements.tex} \section{Acknowledgements} \label{sec:acknowledgements} DG acknowledges funding from the University of Birmingha...
2,877,628,088,870
arxiv
\section{Introduction} Laplace-Beltrami operator plays a fundamental role in Riemannian geometry \cite{Rosenberg98}. Discrete Laplace-Beltrami operators on triangulated surface meshes span the entire spectrum of geometry processing applications, including mesh parameterization, segmentation, reconstruction, compressio...
2,877,628,088,871
arxiv
\section{Introduction} \label{Intro} The Bargmann-Fock space $\mathcal{F}^p:=\mathcal{F}^p(\C^n)$ is the collection of entire functions $f$ on $\C^n$ such that $f(\cdot) e^{- \frac{\abs{\cdot}}{2}} \in L^p(\C^n, dv)$. It is well known that $\FF^2$ is a reproducing kernel Hilbert space with reproducing kernel given by...
2,877,628,088,872
arxiv
\section*{Introduction} Braces appear in connections to the study of set-theoretic solutions of the Yang-Baxter equation. A {\em set-theoretic solution of the Yang-Baxter equation} is a pair $(X,r)$, where $X$ is a set, $r\colon X\times X\to X\times X$ is a bijection, and $(r\times\mbox{\rm id})(\mbox{\rm id}\times...
2,877,628,088,873
arxiv
\section{Introduction} In the recent years, the tensions between the Standard Model (SM) and the experimental predictions in the $b \rightarrow s l^+ l^-$ transitions have kept on increasing: a series of measurements have shown $2-3 \sigma$ disagreements with the SM predictions, started with the angular observables (in...
2,877,628,088,874
arxiv
\section*{\normalsize\bf 1. Introduction} \hspace{0.6cm} In every normal cell, there is a protective mechanism against tumoral degeneration. This mechanism is based on the P53 network. P53, also known as "the guardian of the genome", is a gene that codes a protein in order to regulate the cell cycle. The name is due t...
2,877,628,088,875
arxiv
\section{Notations, models and applications} \label{sec:model} \subsection{Notations} The row vector $(u_1, \ldots, u_q)$ is denoted by $\gvect{u}$, and the column vector $\transp{(u_1, \ldots, u_q)}$ by $\vect{u}$. The diagonal matrix $\diag{u}$ has main diagonal $\vect{u}$, and $\vect{\scriptstyle{1}}$ is th...
2,877,628,088,876
arxiv
\section{Introduction} \label{sec:intro} Since the hot, X-ray emitting haloes -- or intracluster medium (ICM) -- pervading galaxy clusters, groups, and massive ellipticals are in collisional ionisation equilibrium (CIE), abundances of the chemical elements they retain over Gyrs can be robustly measured. These elements...
2,877,628,088,877
arxiv
\section{Introduction} Massive MIMO (multiple-input multiple-output) is an emerging technology for cellular networks, where each base station (BS) is equipped with hundreds of antennas and able to spatially multiplex tens of users on the same time-frequency resource \cite{Marzetta2010a,massivemimobook}. Massive MIMO ...
2,877,628,088,878
arxiv
\section{Introduction} \label{sec:intro} Modern neural networks, despite their great success in various applications \cite{he2016deep,devlin2019bert}, typically suffer from a severe drawback of lacking adversarial robustness. In classification tasks, given an image ${\bm{x}}$ correctly classified by a neural network, t...
2,877,628,088,879
arxiv
\section{Introduction} \label{Sec:Intro} Many studies of the dynamical evolution of high-multiplicity, tightly-packed planetary systems (known as Kepler Multis) have shown that systems similar to those observed in the Kepler sample may experience planet-planet instabilities that result in physical collisions (\citealt...
2,877,628,088,880
arxiv
\section{Introduction} Nanopore technology has opened a completely new window for probing the properties of polymers in general and biopolymers in particular~\cite{KasianowitzNanopores1996,MellerDNANanopore2001,NanoporeExperimentsDekkerGroup}. In a nanopore setup two macroscopic chambers filled with a buffer solution ...
2,877,628,088,881
arxiv
\section{Introduction} In natural language understanding, it is important to understand how sentences are used in order to argue for or against particular topics in conversations and articles. This not only relates to automatic debates \cite{Slonim2021-bg} but also is useful in detecting fake news in media and allowin...
2,877,628,088,882
arxiv
\section{Introduction} \label{sec:Intro} The excitonic insulator (EI) is a longstanding problem in condensed matter physics. Although first theoretical work dates back almost half a century,~\cite{Mo61, Kno63, KK64, *KK65, JRK67, HR68a} the experimental realization of the EI phase has proven to be quite challenging. I...
2,877,628,088,883
arxiv
\section{Approximation Algorithms} \section{Level-Wise Algorithm} \label{sec:approximation-algorithms} \prob{Level-wise} algorithm solves the problem of CECD using a greedy approach. It returns a design whose concepts are all from a same level of the input taxonomy. Our algorithm finds the design with maximum queri...
2,877,628,088,884
arxiv
\section{Introduction} \label{sec:intro} Galaxy clusters, as the largest gravitationally bound objects formed in the universe, play a fundamental role in our understanding of cosmology and structure formation. A key ingredient for cluster-based cosmology is the distribution of dark matter (DM) in and around cluster ...
2,877,628,088,885
arxiv
\section{Introduction} \label{sec:intro} Access to daily news content is challenging for blind, low-vision, and otherwise print-disabled individuals~\cite{manik}. Online news websites are not screen-reader friendly being cluttered with menus, ads, popups, and sidebars, reading which consumes minutes before getting to...
2,877,628,088,886
arxiv
\section{Introduction} Spurred by the discovery of topological insulators, topological phases have become a vital part of condensed matter physics over the last decade\cite{QiSCZhangTIReview,HasanKaneReview,QiSCZhangTITSCReview,HasanMooreReview}. Even in the absence of interactions, a wide variety of gapped topologica...
2,877,628,088,887
arxiv
\section{Introduction} Let $\mathcal{X}\subset \mathbf{R}^n$ be non-empty, open. We study the following stochastic differential equation \begin{align} \label{eqn:main} dx^m(t) &= v^m(t) \, dt \\ \nonumber m\, dv^m(t)& = [F(x^m(t)) -\gamma(x^m(t)) v^m(t)] \, dt + \sigma(x^m(t)) \, dB(t) \end{align} where $F:\math...
2,877,628,088,888
arxiv
\section{Introduction} This work deals with some aspects on the vortex motion for the classical planar incompressible Euler equations that can be reformulated in the vorticity/velocity form as follows \begin{equation}\label{Euler equations} \left\lbrace\begin{array}{ll} \partial_{t}\boldsymbol{\omega}+\mathbf{...
2,877,628,088,889
arxiv
\section{Introduction} The cosmic ray (CR) spectrum is characterized by a sharply falling power law behaviour, $\frac{dN}{dE} \sim E^{-(\gamma + 1)} $\cite{gai}. The spectrum gets more steeper around $10^6$ GeV with the spectral index $\gamma$ changing from $1.7$ to $2.1$ - this region is called the {\it knee}. Aroun...
2,877,628,088,890
arxiv
\section{Introduction} Throughout this paper, we will let $\mathbb{N}$ denote the set of positive integers, and we will let $\mathbb{N}_0$ denote the set of nonnegative integers. \par The arithmetic functions $\sigma_k$ are defined, for every integer $k$, by \\ $\displaystyle{\sigma_k(n)=\sum_{\substack{c\vert n\\c>...
2,877,628,088,891
arxiv
\section{Introduction} The memory of gravitational wave (GW) was firstly found by Zeldovich, Braginsky, Thorne and their coworkers \cite{Zeldovich74,Pay83,Braginsky:1986ia,braginsky1987gravitational}. This memory effect is produced by the gravitational wave source directly. Later Christodoulou found that gravitational...
2,877,628,088,892
arxiv
\section{Introduction} Two-level quantum systems, called {\em qubits} by Schumacher \cite{bs}, play a fundamental role in quantum information theory. In this context they are usually treated as mathematical objects living in a two-dimensional Hilbert space. In reality, qubits always exist as material objects and we sh...
2,877,628,088,893
arxiv
\section{Introduction} A polaron is a fermionic quasiparticle that was introduced by Landau in a 1933 seminal paper to describe the trapping of an electron by the ionic distorsion it induces in a crystal [\onlinecite{landau1933electron}]. The self-trapping of such an electron was subsequently studied in the case of we...
2,877,628,088,894
arxiv
\section{Introduction} \label{sec_intro} Magneto-optical imaging (MOI) has deservedly gained a privileged place among magnetic mapping techniques for investigating ferromagnetic\cite{McCord2015} and superconducting\cite{Jooss2002,Johansen2004} materials. The assets that make this technique stand out from the rest are i...
2,877,628,088,895
arxiv
\subsection*{Acknowledgements:} I would like to thank my thesis supervisor Professor D.M Steinberg for his patient and insightful guidance, and to thank Ms. Ilana Gelertner for the invaluable practical experience I obtained while working with her in the Statistical Laboratory at Tel-Aviv university, which helped me dev...
2,877,628,088,896
arxiv
\section{Introduction}\label{sec:intro} Convection and convective overshooting can play a fundamental role in the evolution of a star, by being efficient mixing processes. From the coupling of convection with nuclear reactions, significant changes on the evolution may be expected when convective overshoot is prese...
2,877,628,088,897
arxiv
\section{Introduction} \label{Section:intro} Solar activity plays a significant role in influencing the interplanetary medium and space weather around Earth and all the other planets of the solar system \citep{Schwenn2006}. Remote-sensing instruments on-board heliophysics missions can provide a wealth of information on...
2,877,628,088,898
arxiv
\section{Introduction} \label{Introduction} \subsection{Motivation : Gravitational waves localization } \label{Intro-Motivation} The recent discovery of gravitational waves (GW) is opening up new horizons for high-energy astrophysics. Since GW interact very weakly with matter, unlike electromagnetic radiation, th...
2,877,628,088,899
arxiv
\section{\bf Introduction}\ \\ In this paper we study the global existence of weak solution to the modified incompressible Navier-Stokes equations in $\R^3$ \begin{equation}\label{$S$} \left\{ \begin{matrix} \partial_t u -\nu\Delta u+ u.\nabla u +\alpha|u|^{\beta-1}u = -\nabla p &\hbox{ in } \mathbb R^+\...
2,877,628,088,900
arxiv
\section{Conclusion} We presented a Las Vegas polynomial time algorithm for sampling from the Bingham distribution $p(x)\propto \exp(x^\top A x)$ on the unit sphere $\mathcal S^{d-1}$. The techniques are based on a novel polynomial approximation of the pdf which we believe is of independent interest, and should find ...
2,877,628,088,901
arxiv
\section{Introduction} A group $G$ is polycyclic if there exists a finite series of subnormal subgroups $G = G_1 \unrhd G_2 \unrhd \ldots \unrhd G_m \unrhd G_{m+1} = \{1\}$ so that each section $G_i / G_{i+1}$ is cyclic. Polycyclic groups play an important role in group theory as, for instance, each finite group ...
2,877,628,088,902
arxiv
\section{Introduction} Three dimensional (3D) Topological band Insulators (TI) have attracted considerable attention from the con- densed matter and device physics communities for the novel electronic surface states they support and the host of unusual responses to external fields\cite{zahid}. The basic unde...
2,877,628,088,903
arxiv
\section{Introduction} Almost any successful business needs to predict the future in order to make better decisions and allocate resources more effectively. Times series forecasting gives the power of future prediction based on past observations. It is ubiquitous, which is used extensively in finance, supply chain mana...
2,877,628,088,904
arxiv
\section{Introduction} \label{sec:intro} \begin{figure}[t] \centering \includegraphics[width=1\linewidth]{figure/teaser1.pdf} \caption{Performance comparison between K-Net and Mask-RCNN. K-Net can outperform Mask-RCNN on large-scale datasets (COCO-full). However, on small datasets (the right three), it can not ...
2,877,628,088,905
arxiv
\section{INTRODUCTION} \label{sect:intro} Ultrafast electron microscopy, the introduction of temporal resolution to conventional 3-dimensional electron microscopy, has opened up the space-time exploration of as diverse as nanomaterials and biostructures \cite{38}. Novel electron optical concepts promise a tremendous ...
2,877,628,088,906
arxiv
\section{Introduction} In this paper we present some results on structure of Wick homogenenous ideals of quadratic algebras allowing Wick ordering, shortly Wick algerbas, introduced in \cite{jsw}. Namely, let $\{T_{ij}^{kl},\ i,j,k,l=1,\ldots,d\}\subset\mathbb{C}$ satisfy conditions $T_{ji}^{lk}=\overline{T}_{ij}^{kl...
2,877,628,088,907
arxiv
\section{Introduction} Reproducibility and replicability are often cited as the cornerstones of reliable science. Studies where results cannot be reproduced or replicated by the scientific community should be treated with caution. The importance and benefits of reproducible and replicable research is well known \cit...
2,877,628,088,908
arxiv
\section{INTRODUCTION} The doped transition metal oxides have very rich phase diagrams which are fingerprints of the spectacular physics present in these strongly correlated electron systems \cite{Ima98}. In particular: (i) La$_{2-x}$Sr$_x$CuO$_4$ has an antiferromagnetic (AF) and Mott instulating ground state only fo...
2,877,628,088,909
arxiv
\section{Introduction} In 1978 S\'{a}rk\"{o}zy proved that if $A\subset\mathbb{Z}$ is a dense set of integers then it contains a $k^{th}$-power difference for any $k\geq2$ \cite{Sarkozy1978SarkozysTheorem}. For a set $A\subset\{1,\dots,N\}$ that avoids $k^{th}$-power differences the best quantitative upper bound...
2,877,628,088,910
arxiv
\section{Introduction} \label{sec:introduction} \vspace{-0.1cm} The enhancement of noisy speech in real acoustic scenarios is a challenging task, especially for low signal-to-noise ratios (SNRs) or non-stationary noises~{\cite{loizou2013speech}}. Recently, the advent of deep neural networks (DNNs) has significantly pro...
2,877,628,088,911
arxiv
\section*{Introduction} We study a computing system that have memory locations containing some data and a set of operations (instructions, machine commands), which change the states of the memory. Some instructions can be executed concurrently. It is known the system state at the initial time. Runtime is defined...
2,877,628,088,912
arxiv
\section{Introduction} \label{sec:intro} \ Type Ia supernovae (SNe Ia), as successful cosmological distance indicators, are thought to result from thermonuclear explosions of carbon-oxygen white dwarfs (CO WDs) in binaries. However, the nature of their progenitors still remains unclear. It is very likely that a CO WD...
2,877,628,088,913
arxiv
\section{Introduction} Throughout this paper, let $p$ be an odd prime number. The symbol $\mathbb Z_p,\mathbb Q_p$ and $\mathbb C_p$ denote the rings of $p$-adic integers, the field of $p$-adic numbers and the field of $p$-adic completion of the algebraic closure of $\mathbb Q_p,$ respectively. The $p$-adi...
2,877,628,088,914
arxiv
\section{Introduction} The ability to effectively prove theorems, by both human and mechanical means, is crucial to formal methods. Formal proofs in mathematics and computer science are being studied because they can be verified by a very simple computer program. An open problem in the Computer Mathematics community is...
2,877,628,088,915
arxiv
\section{Introduction} For subluminal particles (``tardyons''), the dispersion relation for the energy $E$ in terms of the velocity $v$ is given by $E = m/\sqrt{1-v^2}$ (with $v < 1$), and for superluminal particles (``tachyons''), it reads as $E = m/\sqrt{v^2-1}$ with~$v > 1$. Therefore, the ``light barrier'' at $v...
2,877,628,088,916
arxiv
\section{Introduction} Lanthanide-based heavy-fermion (HF) systems are suitable model systems to study emergent phenomena at a quantum critical point (QCP), where collective quantum fluctuations trigger the system continuously from a magnetically ordered to a non-magnetic ground state~\cite{FocusIssue2008,Mathur...
2,877,628,088,917
arxiv
\section{Introduction}\label{se:intro} It is typical in Computer Science to classify problems according to the amount of resources that are needed to solve them. Hence, problems are usually classified according to the amount of time or to the amount of memory that a specific model of computation requires for their s...
2,877,628,088,918
arxiv
\section{INTRODUCTION} Brain-computer interface (BCI) is a system that makes humans could control the computer based on human intentions without physical interactions by linking the brain and computer \cite{suk2014predicting, zhang2017hybrid, won2017motion, zhang2021adaptive, lee2019connectivity, thung2018conversion, ...
2,877,628,088,919
arxiv
\section{Introduction} {\subsection{ Motivation. } It frequently occurs in applications that, in the presence of an underlying dynamical system, only limited knowledge is available about the actual time evolution of a particular state of the system rather than information about certain measurements along its orbit....
2,877,628,088,920
arxiv
\section{Introduction} The visual aesthetic quality of the image measures the visual attraction of the images for humans. Since visual aesthetics is a subjective attribute \cite{kairanbay2019beauty}, it always depends on personal emotions and preferences. This makes image aesthetic quality assessment a subjective task ...
2,877,628,088,921
arxiv
\section{Introduction} One of the candidates for the role of dark matter are superheavy particles~\cite{Kuzmin:1997jua, Berezinsky:1997hy} (see also Ref.~\cite{Khlopov:1987bh, Fargion:1995xs}), that we will denote as $X$ particles. From the point of view of particle physics they can be incorporated into various theori...
2,877,628,088,922
arxiv
\section*{\refname}} \begin{document} \title{Universal size ratios {{of Gaussian polymers with complex architecture:}}\\ Radius of gyration vs hydrodynamic radius} \author{Khristine Haidukivska} \author{Viktoria Blavatska} \affiliation{Institute for Condensed Matter Physics of the National Academy of Sciences of...
2,877,628,088,923
arxiv
\section{Introduction}\label{sec:Intro} As we know from the pioneering paper by Jackiw and Rebbi \cite{Jackiw:1975fn} and from the subsequent development reported in \cite{Niemi:1984vz}, the fermion number of solitons can take fractional and even irrational values. In the known cases, the fermion number is topological....
2,877,628,088,924
arxiv
\section{Introduction} Policy gradient (PG) has served as one fundamental principle of a plethora of benchmark reinforcement learning algorithms \citep{degris2012offpac, lillicrap2016Continuous,gu2017q,mnih2016asynchronous}. In addition to the empirical success, PG algorithms have recently been shown to enjoy provably ...
2,877,628,088,925
arxiv
\section{Introduction} \label{section: introduction} Probability theory, information theory, learning theory, statistical signal processing and other related disciplines, greatly benefit from non-negative measures of dissimilarity (a.k.a. divergence measures) between pairs of probability measures defined on the same me...
2,877,628,088,926
arxiv
\section{Introduction} Reinforcement learning (RL) has achieved state of the art results in gaming~\cite{silver2017mastering}, robotics~\cite{andrychowicz2018learning} and others. Our work relates to the growing literature of applying RL to optimization problems. \cite{bello2016neural} show RL techniques produce near ...
2,877,628,088,927
arxiv
\section{Background} \subsection{Objectives} In order to make full use of both table-text pair data and raw text data, the above marginal log-likelihood should be optimized jointly: \begin{equation} \mathcal{L}(\theta) = \mathbb{E}_{(x,y)\sim \mathcal{D}_p} [\log p_\theta(y|x)] + \mathbb{E}_{y \sim \mathcal...
2,877,628,088,928
arxiv
\section{\@startsection{section}{1}% \z@{.7\linespacing\@plus\linespacing}{.5\linespacing}% {\bfserie \centering }} \def\@secnumfont{\bfseries} \makeatother \setlength{\textheight}{19.5 cm} \setlength{\textwidth}{12.5 cm} \newtheorem{theorem}{Theorem}[section] \newtheorem{lemma}[theorem...
2,877,628,088,929
arxiv
\section{Region I: $x \lesssim 0.2$} \begin{figure}[t] \centering \includegraphics[width=7.5cm]{fig2} \caption{\label{fig:00} (a) Asymmetry data for $x=0$ measured at ISIS. (b) Relaxation rate used to determine $T_{\rm F}$, plus early-time asymmetry $\overline{A}_0$ used to locate $T_{\rm N}$ [non-normalized data from...
2,877,628,088,930
arxiv
\section{Introduction\blfootnote{This work is licensed under a Creative Commons Attribution 4.0 International Licence. Licence details: http://creativecommons.org/licenses/by/4.0/}} \label{section:1} Commonsense is unstated background knowledge that is used to perceive, infer, and understand the physical world, human ...
2,877,628,088,931
arxiv
\section{Introduction} \label{sec:introduction} \input{tikz-flowdiagram} {The use of} {multiple, \textit{connected} robots {in the place of} individually {uncommunicative} robots} provides evident gains by facilitating the inter-robot coordination that allows for work distribution, spatial coverage, and specializati...
2,877,628,088,932
arxiv
\section{Introduction} Recent years have seen intense investigation of electron transport through semiconducting quantum dot devices~\cite{kouwenhoven}, leading in turn to a strong resurgence of interest in basic Kondo physics~\cite{KG}. The classic example---namely the spin-$1/2$ Kondo effect~\cite{hewson} in which t...
2,877,628,088,933
arxiv
\section{Introduction} \label{sec:intro} Observations with the $Einstein$ Observatory and some earlier observations established that large quantities of gas are cooling below X--ray emitting temperatures in the cores of many clusters (see Fabian et al.\ [1984, 1991], and Fabian [1994] for reviews). Typical cooling rat...
2,877,628,088,934
arxiv
\section{Introduction} In this work we deal the non-local non-linear eigenvalue problem \begin{equation} \label{eq:autovalores} \begin{cases} (-\Delta_p)^r u = \lambda\dfrac{\alpha}p|u|^{\alpha-2}u|v|^{\beta} &\text{in } \Omega,\vspace{.2cm}\\ (-\Delta_p)^s u = \lambda\dfrac{\beta}p|u|^{\alpha}|v|^{\beta-...
2,877,628,088,935
arxiv
\section{Introduction} There is a considerable number of works dedicated to measurements of the complex permittivity of soils, certain minerals, and other similar materials \cite{klein_methods_1997, oh_factors_2007, wang_experimental_2016, datsios_characterization_2019, curtis_durable_2001, huynen_wideband_2001, pauli_...
2,877,628,088,936
arxiv
\section{Introduction} Consider a supervised learning problem with training data $\{(\bm{x}_i, y_i)\}_{i=1}^n$ where $y_i = f^*(\bm{x}_i), i=1, \cdots, n$. Let $\mathcal{F}$ be the hypothesis space. Our objective is to find the best approximation to the target function $f^*$ in the hypothesis space by using only i...
2,877,628,088,937
arxiv
\section*{Supplementary material} In Appendix \ref{app:notation}, we introduce additional notations and objects that will be used in the proofs. In Appendix \ref{app:permut}, we study the equivariance of GCNs and prove Props \ref{prop:permut} and \ref{prop:permut-c}. In Appendix \ref{app:conv}, we prove Theorem \ref{t...
2,877,628,088,938
arxiv
\section{Introduction} \label{} \noindent A Higgs boson is an excitation of the Higgs field, the field from which fundamental fermions and massive gauge bosons acquire their masses (with the fermions getting their mass from Yukawa coupling to this field and the gauge boson obtaining it via the Higgs mechanism). The ma...
2,877,628,088,939
arxiv
\section{Introduction} As Artificial Intelligence (AI) technology advances, AI will have an ever greater impact on human decision making. But how big will this impact be? Will humans adapt to AI by learning from it and making better decisions themselves in certain domains but not in others? Over time, how quickly or s...
2,877,628,088,940
arxiv
\section{Introduction} Sequential decision prediction problems, including imitation learning, differ from typical supervised learning tasks in that the actions of the agent affect the distribution of future observed states. The violation of the distributional stationarity assumption inherent in standard machine learnin...
2,877,628,088,941
arxiv
\section{Introduction}\label{sec:introduction} As information technology advances, people get informed through numerous media channels spanning over conventional media (e.g., newspapers, radio or TV programs) and modern social media (e.g., mobile APPs, electronic publications, or world wide web (WWW)). Since computers...
2,877,628,088,942
arxiv
\section{Introduction} A sparse triangular solver is an important computational kernel for an iterative linear solver in various numerical simulations. It is the main component of the Gauss--Seidel (GS) smoother, SOR method and IC/ILU preconditioning, which are used as building blocks in various computational science...
2,877,628,088,943
arxiv
\section{Introduction}\label{sec:intro} The recent observations of gravitational waves\xspace from the inspiral and merger of binary black holes herald the era of gravitational-wave\xspace astronomy \citep{2016PhRvL.116f1102A, 2016PhRvL.116x1103A}. Such cataclysmic, transient, and extragalatic events are not howev...
2,877,628,088,944
arxiv
\section{Introduction} The relation between the continuum and emission-line luminosities is important for our understanding of AGN physics. Such a relationship, known as the Baldwin effect, states that the broad emission-line equivalent width (EW) decreases as the continuum luminosity increases (Baldwin 1977; for a re...
2,877,628,088,945
arxiv
\section{Conclusions and future directions} In this work, we introduced a novel nonparametric method for adaptive control and prediction that estimates the unknown dynamics over a reproducing kernel Hilbert space. By restricting to the space $\mathcal{F}_2$, we analyzed efficient finite-dimensional randomized approxi...
2,877,628,088,946
arxiv
\section{Introduction} Monolayers and heterostructures of two-dimensional (2D) materials with spin-orbit interaction offer promise for observing many novel physical effects~\cite{geim2013van, novoselov-science-353-2016, manchon-NatMat-14-871-2015}. In particular, it has been proposed that topological insulators or se...
2,877,628,088,947
arxiv
\section{Introduction} \label{section-Introduction} Relativistic jets are often launched from the vicinity of accreting black holes. They are observed to be produced in stellar-mass black-hole binary systems and are believed to be the fundamental part of the gamma-ray burst phenomenon. Powerful relativistic jets are ...
2,877,628,088,948
arxiv
\section{Introduction} There has been a renewed interest in the search for new constructions of lattices from error-correcting codes due to their various recent applications, such as coding for fading wiretap channels \cite{KosiOngOggier}, Gaussian relay networks \cite{Adaptative}, compound fading channels \cite{Our} a...
2,877,628,088,949
arxiv
\section*{Acknowledgments} We acknowledge financial support by the Labex ACTION program (Contract No. ANR-11-LABX-0001-01). We are grateful to D. Van Labeke for fruitful discussion and helps in the implementation of the monomodal modal method.
2,877,628,088,950
arxiv
\section{Introduction} In the past two decades, several ground breaking works have extended the domain of quantum theories by incooperating non-Hermitian (NH) Hamiltonians that are symmetric under combined parity and time reversal (PT) symmetric operation \cite{ben4}-\cite{book2} . It has been shown that the fully...
2,877,628,088,951
arxiv
\section{Introduction} The minimum von Neumann entropy at the output of a quantum communication channel can be crucial for the determination of its classical communication capacity \cite{holevo2013quantum}. Most communication schemes encode the information into pulses of electromagnetic radiation, that travels through...
2,877,628,088,952
arxiv
\section{Introduction} \label{sec:intro} In the industry, business analysts are usually not concerned with the algorithms, feature selection, feature engineering or selection of appropriate hyperparameters. All they want is a fast track to a highly accurate predictive model which they can apply with minimum knowledge...
2,877,628,088,953
arxiv
\section{Introduction}\label{sec:introduction} The reconstruction of flow fields using spatially limited data has long been a topic of interest in the fluid dynamics community. With the rapid development of particle image velocimetry (PIV) and computational power for performing direct numerical simulations (DNS), high-...