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2,877,628,091,554
arxiv
\subsubsection*{#1}} \pagestyle{headings} \markright{Reference sheet: \texttt{natbib}} \usepackage{shortvrb} \MakeShortVerb{\|} \begin{document} \thispagestyle{plain} \newcommand{\textsc{Bib}\TeX}{\textsc{Bib}\TeX} \newcommand{\texttt{#1}\def\filedate{#2}\def\fileversion{#3}}}{\texttt{#1}\def\filedate{#2}\def\fil...
2,877,628,091,555
arxiv
\section{INTRODUCTION} \label{sec:intro} The present research and training capabilities in observational astronomy in Iran can, by no mean, respond to the growing demand due to the rapid growth in higher education over the past decade. The existing observational facilities consists of a number of small telescopes in ...
2,877,628,091,556
arxiv
\section{Introduction} Over the last 15 years, approaches to sentiment analysis which concentrated on creating and curating sentiment lexicons \cite{Turney2002,Liu2005} or used n-grams for classification \cite{Pang2002} have been replaced by models that are able to exploit compositionality \cite{Socher2013b,Irsoy2014a...
2,877,628,091,557
arxiv
\section{Discussion \& Conclusion} \label{sec:conclusion} In this paper, we compose several techniques for robust and efficient planning together in a framework designed for fast multi-robot{} planning in environments with uncertain moving obstacles, such as humans{}. Each robot{} generates real-time motion plans whil...
2,877,628,091,558
arxiv
\section{Introduction}\label{sec:intro} In the pantheon of anisotropic integrable quantum spin chains, one model stands out for its high degree of symmetry: the $\mathop{U_{q} sl(2)}\nolimits$-invariant open spin-1/2 XXZ quantum spin chain, whose Hamiltonian is given by \cite{Pasquier:1989kd} \begin{eqnarray} H = \sum...
2,877,628,091,559
arxiv
\section{Introduction} The recent interesting paper of Hurwitz and Gbur \cite{hurwitz14} deals with nonradiating sources - sources whose fields are limited to a finite region of space and exactly equal to zero outside this region. The topic is in itself old, with roots going back to Ehrenfest (1910). Null-field ...
2,877,628,091,560
arxiv
\section{Introduction} In this work, we study the extremal functions of following variational problem of Log-Sobolev functional \begin{equation}\label{eq:intro_log_sobolev_functional} \lambda(\alpha_1,\alpha_2):= \inf_{f\in\mathcal{F}}\int_{X}\left(|\nabla f|^2 +\alpha_1 f^2 - \frac{\alpha_2}{2} f^2 \log f^2\r...
2,877,628,091,561
arxiv
\section{Introduction}\label{sec:introduction} Retrieving meaningful information from large amounts of data is a complex task, often impossible if those data have to be analyzed in their original domain. For this motivation, compact representations have been studied in different frameworks, ranging from information ret...
2,877,628,091,562
arxiv
\section{Introduction} In order to reliably interpret current and upcoming measurements at the LHC, precise QCD predictions for multi-jet final states are indispensable. These include both fixed-order calculations, as well as their combination with analytic resummation and/or parton shower event generators, {\it e....
2,877,628,091,563
arxiv
\section{Introduction} Random sequential adsorption of congruent spheres in the $d$-dimensional Euclidean space has been a topic of great interest across the sciences, serving as basic models in condensed matter and quantum physics~\cite{SBVK2014,LFCDJCZ2001,JCZRCL2000,SWM2010}, nanotechnology \cite{CKE2002,DGPLCM200...
2,877,628,091,564
arxiv
\section{Introduction} The Universe is currently in an accelerated expansion epoch that has been observed through the type Ia supernovae (SNIa) \cite{Riess:1998,Perlmutter:1999}, and the large-scale structure (LSS) \cite{Abbott:2017wau}. Typically, this phenomenon is associated to a component known as dark energy (DE)...
2,877,628,091,565
arxiv
\section{Introduction} Nanocrystalline materials are of potential interest nowadays, because their remarkable properties, that differ from their parent bulk counterparts, have found a wide range of technological applications. Among them, particles made of magnetic compounds display a variety of magnetic behaviors, th...
2,877,628,091,566
arxiv
\section{introduction} Quantization of the angular momentum is an important concept of the contemporary physics. In the framework of quantum mechanics derivation of quantization of the angular momentum is based on one of the following statements: \begin{enumerate} \item Quantization of the eigenvalues follows from th...
2,877,628,091,567
arxiv
\section{Introduction} Unitary representations realized in the spaces of the holomorphic sections of equivariant holomorphic line bundles appear in various areas of the representation theory of Lie groups. For instance, we can recall the Borel-Weil theory for compact Lie groups, the holomorphic discrete series and its ...
2,877,628,091,568
arxiv
\section{Introduction} Leibniz algebras appear from the cohomology study done by Loday in 1993 \cite{loday1} and they are further investigated by several authors as Ayupov, Casas and others (\cite{Ayupov}, \cite{Casas}). In the cohomology study there is an important family of Leibniz algebras: those whose length of t...
2,877,628,091,569
arxiv
\section{Introduction} \label{sec:intro} Feedback control is ubiquitous in classical engineering. However, its extension to the quantum realm has been challenging due to the unique character of the quantum measurement, which requires coupling of the observed quantum system to a classical measurement apparatus. Consequ...
2,877,628,091,570
arxiv
\section*{Introduction} A monad on $\mathbb{P}^n$ or, more generally, on a projective variety $X$, is a complex of three vector bundles $$0 \rightarrow \hbox{${{\cal A}}$} \xrightarrow{\alpha} \hbox{${\cal B}$} \xrightarrow{\beta} \hbox{${\cal C}$} \rightarrow 0$$ such that $\alpha$ is injective as a map of vector...
2,877,628,091,571
arxiv
\section{Introduction} The rattling phenomenon, that is, \textit{a large vibration of an atom in an oversized atomic cage}, is a key issue in understanding exotic physical properties in a family of bulk materials that possess cage-like units in their crystalline structure. Filled skutterudites, RM$_4$X$_{12}$ (R = ra...
2,877,628,091,572
arxiv
\section{Introduction}\label{s0} Classification of simple weight modules is a classical problem in the representation theory of Lie algebras. Simple weight modules with finite-dimensional weight spaces (sometimes also called Harish-Chandra modules) are classified for several classes of algebras, including simple finit...
2,877,628,091,573
arxiv
\section{Introduction} Traditionally, the state-space approach to time series considers a representation: $$\boldsymbol{y}_t = \boldsymbol{K} \boldsymbol{v}_t$$ $$\boldsymbol{v}_{t} = \boldsymbol{C} \boldsymbol{v}_{t-1}+\boldsymbol{D} \epsilon_t$$ Using the lag operator $L$, $\boldsymbol{v}_t = (\boldsymbol{I}-\boldsym...
2,877,628,091,574
arxiv
\section{Preliminaries} No solid theoretical principle prevents \hbox{neutrinos } from having mass. Moreover, from the point of view of theory, it is rather mysterious that \hbox{neutrinos } seem to be so special when compared with the other fundamental fermions. Many attractive extensions of the \hbox{standard model ...
2,877,628,091,575
arxiv
\section{Acknowledgments} \label{sect:Acknowledgments} We thank the RHIC Operations Group and RCF at BNL, the NERSC Center at LBNL, and the Open Science Grid consortium for providing resources and support. This work was supported in part by the Office of Nuclear Physics within the U.S. DOE Office of Science, the U.S. ...
2,877,628,091,576
arxiv
\section{Introduction} \label{intro} A few years ago Derrida et al.$^{\cite{derr3}, \cite{derr2}}$ suggested an intriguing ``matrix approach" to the one-dimensional Asymmetric Simple Exclusion Process (ASEP). This approach has later been used to treat variants of the model$^{\cite{derr4}, \cite{hinrich1}, \cite{hon...
2,877,628,091,577
arxiv
\section{Introduction} Non-orthogonal multiple access (NOMA) is envisaged as one of the potential technologies in the next generation wireless communication systems. Users in NOMA systems can share the non-orthogonal resources, e.g., the frequency spectrum and the time slot. From a unified perspective, NOMA consists of...
2,877,628,091,578
arxiv
\section{Review of some derived algebraic geometry} \label{sec:dag} In this appendix, we summarize the deformation theory relevant to us, using the language of derived algebraic geometry. Our primary goal is to explain certain functorialities in the usual deformation-obstruction theory of varieties by interpreting eve...
2,877,628,091,579
arxiv
\section{Introduction} \label{sec:introduction} \IEEEPARstart{O}{bject} detection is a classical task in computer vision which is an operation capturing target objects in images (or video) and feeding back the category and localization of the object. Latest solutions on object detection achieve high computing speed and...
2,877,628,091,580
arxiv
\section{INTRODUCTION} \label{sec:intro} Electromagnetic quantum fluctuation phenomena lie at the heart of many processes where the interface between classical and quantum physics plays a prominent role. Among these one may cite areas of quantum optics, micro-cavity physics, micro-fluidics, photonic structures, ea...
2,877,628,091,581
arxiv
\section{Introduction} The Epoch of Reionisation (EoR) is an essential milestone in the formation and evolution of cosmic structure. The first luminous objects produced in collapsed dark matter halos in the early universe ($z \sim 20$) started to reionise the inter galactic medium (IGM) which was neutral after recom...
2,877,628,091,582
arxiv
\section{Introduction} Multipartite quantum systems play an important role in quantum mechanics and quantum information. They are associated with deep quantum concepts like entanglement, correlations which are stronger than classical, violation of classical probabilistic inequalities, etc. Various statistical quantiti...
2,877,628,091,583
arxiv
\section{Introduction} The smallness of neutrino masses may be explained by the presence of right-handed neutrinos (RHNs) with large Majorana mass realizing the seesaw mechanism \cite{rhn}. It is conceivable that a dark matter (DM) candidate couples to a RHN and thus its pair-annihilation to a RHN pair is responsibl...
2,877,628,091,584
arxiv
\section{Introduction} The aim of this paper is to show that a direct correspondence exists between the matrix elements \cite{footnote1} computed by the Algebraic Bethe Ansatz in non-relativistic integrable models (in the following simply referred to as Bethe Ansatz models) \cite{korbook} and the Form Factors consider...
2,877,628,091,585
arxiv
\section{Introduction} With the discovery of the Higgs boson at the Large Hadron Collider (LHC) \cite{Aad:2012tfa,Chatrchyan:2012xdj}, the Standard Model of Particle Physics (SM) is formally complete. While existing deviations between some SM predictions and experiment, such as for the anomalous magnetic moment of the...
2,877,628,091,586
arxiv
\section{\label{sec:Introduction}Introduction\protect } Angle-resolved photoemission spectroscopy (ARPES) is one of the prime experimental techniques for determining the electronic band structure in crystalline solids. Apart from being able to capture the bare energy-momentum dispersion of electronic states in a materi...
2,877,628,091,587
arxiv
\section{Introduction} \vspace{-0.05in} In recent years, we have made significant advances in standard recognition tasks such as image classification~\cite{he2016deep}, detection~\cite{ren2015faster} or segmentation~\cite{chen2016attention}. Most of these gains are a result of using feed-forward end-to-end learned Conv...
2,877,628,091,588
arxiv
\section{Detailed Architecture}\label{section:supplementary_material_A} The detailed architecture of TranSTAM is given in Table~\ref{table:achitecture}. \begin{table}[htp] \begin{center} \caption{Architectures for TranSTAM. $H_i$ and $D_i$ is the number of heads and embedding feature dimension in the $i$th MHSA modul...
2,877,628,091,589
arxiv
\section{Introduction} Many-body phenomena in ultracold quantum gases is a subject of extensive ongoing research. Interaction between atoms plays a crucial role in many situations and is responsible for the most striking experimental observations of solitons in Bose-Einstein condensates trapped by harmonic~\cite{becso...
2,877,628,091,590
arxiv
\section{Introduction} RCW 86 (also known as MSH 14$-$63 or G315.4$-$2.3) is one of the supernova remnants (SNRs) that has been detected in the whole electromagnetic spectrum, from the radio continuum, optical, and infrared domains to the energetic X-rays and GeV/TeV $\gamma$-rays \citep[e.g.,][]{1987A&A...183..118K,19...
2,877,628,091,591
arxiv
\section{Introduction} Topologically nontrivial phases are exotic states of matter that have an electronic band gap in their bulk and protected gapless excitations at their boundaries.~\cite{REF:Hasan10,REF:Qi11,REF:BookFranz13} Superconductors, being quasiparticle insulators, also feature topological phases with ...
2,877,628,091,592
arxiv
\section{Some examples and best-practices} \section{ATLAS ITk upgrade} To cope with the increased luminosity, data rate and radiation damage at the HL-LHC \cite{HL-LHC_PDR}, major upgrades of the \mbox{ATLAS} experiment \cite{ATLAS:Experiment} are foreseen \cite{ATLAS:Phase_II_LoI,ATLAS:Phase_II_Scoping}. One upgrade...
2,877,628,091,593
arxiv
\section{Introduction} \baselineskip 18pt Recently, the D0 Collaboration has announced the appearance of a like-sign dimuon charge asymmetry in the semileptonic $b$-hadron decays measurement: $A_{sl}^b = - 0.00957 \pm 0.00251 ({\rm stat}) \pm 0.00146 ({\rm syst})$ \cite{Abazov:2010hv}. In the Standard Mode...
2,877,628,091,594
arxiv
\section{Introduction} Optimal power flow (OPF) is a fundamental optimization problem that aims to find a cost-minimizing operating point subject to the physical laws and safety limits of a power network. The power sector is witnessing a rising need for fast and scalable OPF solvers, which can instruct a large networ...
2,877,628,091,595
arxiv
\section{Introduction} Arimoto \cite{ari} proposed a sequential algorithm for calculating the channel capacity $C$ of a discrete memoryless channel. Based on the Bayes probability, the algorithm is given by the alternating minimization between the input probabilities and the reverse channel matrices. For arbitrary cha...
2,877,628,091,596
arxiv
\section{Introduction} Pulse timing is a common problem in high energy physics \cite{grzywacz2003applications}, optics \cite{samain1998timing}, telecommunication \cite{han2017timing} and many other applied physics disciplines. Among feasible methods, fast electronic readout systems provide a cost-effective and robust ...
2,877,628,091,597
arxiv
\section{Models for UV/Optical Variability and relationship to X-ray Variability} The origin of UV/optical variability in AGN and its relationship to X-ray variability has been a puzzle for some time and there are two main possibilities for the origin of the UV/optical variability. The UV/optical variability could r...
2,877,628,091,598
arxiv
\section{Introduction} \label{Section:Intro} In high-energy heavy-ion collisions, the high-transverse momentum ($p_{T}$) partons ($p_{T} \gtrapprox 10$~GeV) are generated almost at the instant at which the incoming nuclei overlap. Such high $p_{T}$ partons are generated in parton-parton exchanges with large momentum tr...
2,877,628,091,599
arxiv
\section{Introduction} As it is well known under reasonable conditions the mixed partial derivatives of a real function coincide. This result has a long history and several distinguished scholars provided proofs including Euler and Clairaut. However, according to Lindel\"of none of those proofs was free of errors or...
2,877,628,091,600
arxiv
\section{Supervised speaker verification} For the supervised verification track (VoxSRC-20 Track 1 \& 2) we train 6 systems based on our ECAPA-TDNN architecture~\cite{ecapa_tdnn, voxsrc20_submission} and 4 ResNet34~\cite{magneto} variants. The ECAPA-TDNN architecture is depicted in Figure~\ref{fig:ecapa_tdnn}. We sca...
2,877,628,091,601
arxiv
\section{Introduction} Knowledge Graphs (KGs) encode real-world facts as structured data and have drawn significant attention from academia, and the industry \cite{zhang2022deepke}. KG representation learning aims to project the relations and entities into a continuous vector space, which can promote the knowl...
2,877,628,091,602
arxiv
\section{Introduction} Gamma-Ray Bursts (GRBs) are bright flashes of high energy photons usually lasting about several seconds. They are by far the most luminous objects in the universe, they emit so large amounts of energy (up to $10^{53}$ ergs) and thus can be detected up to very high redshifts ($z>5$). GRB050904 wa...
2,877,628,091,603
arxiv
\section{Introduction} The information loss paradox of black holes \cite{Hawking:1974sw} is an unresolved problem in modern theoretical physics. This paradox implies a contradiction between general relativity (GR) and local quantum field theory (QFT) \cite{Yeom:2009zp,Almheiri:2012rt}. There have been attempts to solv...
2,877,628,091,604
arxiv
\section{Introduction} \label{sec:intro} Hopf algebras naturally appear in combinatorics in the following way: one constructs a Hopf algebra whose generators are canonically parametrized by certain combinatorial objects of interest, for instance, graphs, posets, or symmetric functions. Then the Hopf algebra structure...
2,877,628,091,605
arxiv
\subsection*{\\Abstract} \end{center} Using the effective potential, we study the one-loop renormalization of a massive self-interacting scalar field at finite temperature in flat manifolds with one or more compactified spatial dimensions. We prove that, owing to the compactification and finite temperature, the renorm...
2,877,628,091,606
arxiv
\section{Introduction} Recent studies of slow light and its properties are motivated by the enhancement of light-matter interactions for smaller group velocities leading to the enhancement of optical gain~\cite{Dowling:1994-1896:JAP} and electro-optic effect~\cite{Roussey:2006-241110:APL}, a growth of the spontaneous ...
2,877,628,091,607
arxiv
\section{INTRODUCTION} Characteristics of flare-productive sunspot groups have been studied by many authors (Zirin \& Tanaka 1973; Hagyard et al. 1984; Kurokawa 1987; Zirin \& Liggett 1987; Tanaka 1991; and Kurokawa 1991, 1996). In these studies, the authors pointed out that sheared configuration of magnetic field ...
2,877,628,091,608
arxiv
\section{} \section{Introduction and Theoretical Techniques} Crystals are regular periodic physical systems with the atomic constituents organized in periodic arrays, where the periodicity is a characteristic of the crystal in its equilibrium configuration and a manifestation of long-range positional order....
2,877,628,091,609
arxiv
\subsubsection*{\bibname}} \input notation.tex \newcommand\blfootnote[1]{% \begingroup \renewcommand\thefootnote{}\,\footnote{#1}% \addtocounter{footnote}{-1}% \endgroup } \raggedbottom \pagestyle{myheadings} \begin{document} \thispagestyle{empty} \title{Extending the Patra--Sen Approach to Estimatin...
2,877,628,091,610
arxiv
\section{Introduction} Let $\set{B(t) : t \geq 0}$ be the Brownian motion. It is well known that there exist polynomials $H_n(x,t)$ (the Hermite polynomials) such that for each $n$, $H_n(B(t), t)$ is a martingale with respect to the filtration induced by $\set{B(t)}$. These polynomials have numerous other familiar...
2,877,628,091,611
arxiv
\section{Introduction} String theory, as well as other higher-dimensional theories, suggests the existence of a landscape of vacua with diverse properties. The vacua are characterized by different compactifications of extra dimensions, by branes wrapped around extra dimensions in different ways, by different values o...
2,877,628,091,612
arxiv
\section*{Introduction} The orthogonal groups of finite dimensional quadratic spaces over fields appear in many branches of mathematics. They form an infinite family of algebraic groups, indexed by the dimension of the underlying space. Moreover, if the field is algebraically closed (or more generally quadratically cl...
2,877,628,091,613
arxiv
\section*{Introduction} The accurate generation and precise detection of broadband THz beams with well-defined polarization states is of great importance for the spectroscopy of anisotropic materials such as birefringent materials\cite{Nagashima2013,Lloyd-Hughes2014,Mosley2017}, multiferroics\cite{Mosley2017} and quan...
2,877,628,091,614
arxiv
\section{Introduction} The physical description of magnetic degrees of freedom in a broad class of compounds is usually based on the well known Heisenberg-Dirac-van Vleck Hamiltonian \cite{Auerbach:1994,LM_2011,Balents_Nature,stat-trans,Bishop_2012,lamas-capponi,Fisher_2013}. In this context, the use of ab-initio tech...
2,877,628,091,615
arxiv
\section{Introduction} Parallel software frameworks facilitate the separation of concerns between functionality and parallelism. Cilk \cite{Blumofe:1995}, X10 \cite{Charles:2005} and the Fork/Join pool from the Java Development Kit (JDK) \cite{JavaSE:2015}, among others, provide an interface to explicitly parallelize ...
2,877,628,091,616
arxiv
\section{Introduction}\label{sec:introduction}} \IEEEPARstart{M}{edical} image segmentation aims to delineate the interested anatomical structures, such as tumors, organs, and tissues, in a semi-automatic or fully automatic way, which has many applications in clinical practice, such as radiomic analysis~\cite{gilli...
2,877,628,091,617
arxiv
\section{Introduction} \begin{figure*} \centering \includegraphics[width=1\textwidth]{jsonexample} \caption{An example log line stored in the backend as a learner pauses a video. The log line is stored in JavaScript Object Notation (JSON).} \label{json-example} \end{figure*} Massive open online courses (MOOCs) h...
2,877,628,091,618
arxiv
\section{Introduction} Let $G$ be a split (minimal) Kac-Moody group over $\mathbb{R}$ or $\mathbb{C}$ with maximal torus $T$, and let $\theta$ be a Cartan-Chevalley involution of $G$, twisted by complex conjugation, and satisfying that $\theta(T)=T$. Furthermore, let $K$ be the subgroup fixed by $\theta$, and $\tau:G\...
2,877,628,091,619
arxiv
\section{Introduction} In this paper we study a particular class of von Neumann $\rho$-invariants and show that they provide a concordance obstruction. We show that these invariants are particularly computable for knots of finite algebraic order and use them to establish a new linearly independent family of twist kn...
2,877,628,091,620
arxiv
\section{ } {\em Discussion}: In our picture, the domain walls resemble quantum Hall edges. They support currents, alternating in direction from wall to wall, in the ground state. Our calculation has been highly idealized, of course. For one thing, we have ignored any possibility of energy intrinsically associated...
2,877,628,091,621
arxiv
\section{Introduction} The huge importance of investigating the Early Universe through measurements of Cosmic Microwave Background Polarization (CMBP) is widely accepted by the astrophysical scientific community. By measuring the angular power spectra (APS) of the CMB it is possible to study effectively the inflation ...
2,877,628,091,622
arxiv
\section*{Introduction \label{intro}} Recognizing faces and facial expressions with high accuracy is central for many cognitive and social tasks that primates (and possibly other animals) perform every day. Several studies reported single neurons in the ventral visual stream -- and particularly in the so-called ``...
2,877,628,091,623
arxiv
\subsection{CDV Methodology}\label{sc:cdvmethod} In CDV, an iterative process of test generation, execution, coverage collection and analysis is used to achieve coverage closure over several cycles. In practice, engineering input is required to interpret the data and to guide test generation towards closing coverage ho...
2,877,628,091,624
arxiv
\section{Introduction} This paper is a sequel to~\cite{RS}. It studies the moduli space of stable maps whereas~\cite{RS} studied the moduli space of stable marked nodal Riemann surfaces. The latter can be considered as a special case of the former by taking the target manifold $M$ to be a point. In both cases the modu...
2,877,628,091,625
arxiv
\subsection{Kernel of the type of Green's function}\label{subsection:2.1} Let $r \geq 0$ be an integer and assume that the kernel $\kappa$ of the integral operator $\mathcal {K}$ defined in (\ref{eq:1.1}) has the following properties. \begin{enumerate} \item Let $ \Psi = [0, 1] \times [0, 1] \times \R.$ The partia...
2,877,628,091,626
arxiv
\section{Introduction} The key element of effective long-time robot localization is the ability to reduce the accumulated drift when a robot revisits an already known location~\cite{tutorialPerception}. The so-called loop closure can be performed based on a variety of sensors with the GPS and the camera being the pr...
2,877,628,091,627
arxiv
\section*{References} \bibliographystyle{apsrev}
2,877,628,091,628
arxiv
\section{450 $\mu$m polarization measurements for M17} \label{app:SHARPvector} \setcounter{table}{0} \renewcommand*\thetable{\Alph{section}.\arabic{table}} \begin{deluxetable}{c c c c c c c} \tabletypesize{\footnotesize} \tablecaption{450 $\mu$m polarization measurements for M17} \tablecolumns{7} \tablewidth{0pt} \...
2,877,628,091,629
arxiv
\section*{Abstract} Dengue is a major threat to public health in Brazil, the world’s sixth biggest country by population, with over 1.5 million cases recorded in 2019 alone. Official data on dengue case counts is delivered incrementally and, for many reasons, often subject to delays of weeks. In contrast, data on deng...
2,877,628,091,630
arxiv
\section{Introduction} The ultimate fate of a close binary composed of a neutron star and a black hole has first been discussed (\cite{wheel}) shortly after the discovery of neutron stars. It has been pointed out that the coalescence of such a binary would make a promising site for the r--process nucleosynthesis (\cit...
2,877,628,091,631
arxiv
\section{INTRODUCTION} As one of the fundamental building blocks of quantum theory, the uncertainty principle has attracted considerable attention since the innovation of quantum mechanics. Ever since Heisenberg proposed various notions of uncertainties related to the measurements of non-commuting observables in 1927 \...
2,877,628,091,632
arxiv
\subsubsection{\@startsection{subsubsection}{3}{10pt}{-1.25ex plus -1ex minus -.1ex}{0ex plus 0ex}{\normalsize\bf}} \def\paragraph{\@startsection{paragraph}{4}{10pt}{-1.25ex plus -1ex minus -.1ex}{0ex plus 0ex}{\normalsize\textit}} \renewcommand\@biblabel[1]{#1} \renewcommand\@makefntext[1 {\noindent\make...
2,877,628,091,633
arxiv
\section{Introduction} Let $X_1,X_2$ and $X_3$ be three independent copies of a regular diffusion on $[0,1]$ with absorbing boundaries. Eventually, either at least two of the diffusions are absorbed at the upper boundary of the interval or at least two are absorbed at the lower boundary. In this way, the diffusi...
2,877,628,091,634
arxiv
\section{\label{sec:General_disks}Continuous growth dynamics in cylindrical geometry} \subsection{Kinematics} We consider a cylindrical tube, consisting of an incompressible isotropic hyperelastic material, the inner wall of which is attached to a fixed solid nucleus, with the outer wall unconstrained (see Figure \re...
2,877,628,091,635
arxiv
\section{Introduction} This paper is devoted to studying the global dynamics of solutions to the energy subcritical defocusing semilinear wave equation \begin{equation} \label{eq:NLW:semi:3d} \Box\phi=|\phi|^{p-1}\phi,\quad \phi(0, x)=\phi_0(x),\quad \pa_t\phi(0, x)=\phi_1(x) \end{equation} in $\mathbb{R}^{3+...
2,877,628,091,636
arxiv
\section{Introduction} Entanglement entropy (EE) of subregions is an ill-defined quantity in quantum field theory (QFT). This fact can be understood from various perspectives. From a lattice point of view, as we reduce the lattice spacing a growing amount of entanglement across the entangling surface adds up, producing...
2,877,628,091,637
arxiv
\section{Introduction} \label{sec_intro} Understanding the star formation and interstellar medium (ISM) at low metallicity is crucial to unveil physical and chemical processes in the past Galactic environment or those in high-redshift galaxies, where the metallicity was significantly lower compared to the present-day ...
2,877,628,091,638
arxiv
\section{Introduction} Granular matter, when externally excited, show a series of peculiar phenomena. One of them is the mixing or segregation that takes place when two or more species of different grains are put together. Depending on the control parameters and the energy injection mechanisms, grains of different si...
2,877,628,091,639
arxiv
\section{Introduction} Two-dimensional materials based on honeycomb lattices have become a subject of intense investigation in the past few years, due to their interesting band structure and associated topological properties. The low-energy dynamics of such systems are typically dominated by states near the $K$ and $K...
2,877,628,091,640
arxiv
\section{Introduction} \label{sec:intro} Simultaneous Localization and Planning (SLAP) refers to the ability of autonomous robots to (re)plan dynamically every time the localization module updates the probability distribution on the robot's state. For autonomous robots to reliably operate in a real-world environments, ...
2,877,628,091,641
arxiv
\section{Introduction} Information extraction addresses the inference of formal knowledge (typically, entities and relations) from text. The field has recently experienced a significant boost due to the development of neural approaches~\cite{zeng:2014:rel_cnn, zhang:2015:rel_pos, kumar:2017:rel_survey}. This has led to...
2,877,628,091,642
arxiv
\section{Introduction} One of the main objectives of modern astrophysics is understanding the process of galaxy formation and evolution. The best way to tackle this issue is studying the properties of galaxies observed at the epoch of their formation and early evolution, such as their stellar population, history of...
2,877,628,091,643
arxiv
\section{Introduction} Massive young clusters are rare objects that nevertheless exert a major influence on their galactic environments. Their modes of formation remain an important topic of research, echoing continuing significant uncertainty in the modes of evolution of the most massive stars that are their distinc...
2,877,628,091,644
arxiv
\section{Introduction} \label{sec:intro} As robots are deployed to new environments with greater levels of autonomy, inevitable software defects may lead to unintentional and potentially catastrophic outcomes. It is now more important than ever to systematically test robotic systems as extensively as possible to ide...
2,877,628,091,645
arxiv
\section{Introduction} Understanding how students learn over time holds the key to unlock the full potential of adaptive learning. Indeed, personalizing the learning experience, so that educational content is recommended based on individual need in real time, promises to continuously stimulate motivation and the learni...
2,877,628,091,646
arxiv
\section{Introduction} \label{sec:intro} In spatially-extended turbulent flows one observes similar patterns at different spatial positions and at different times. How `similar?' If the flow is equivariant under a group of continuous symmetries, one way of answering this question is by measuring distances between ...
2,877,628,091,647
arxiv
\section*{#1}} \newcounter{ctr} \theoremstyle{plain} \newtheorem{theorem}{Theorem}[section] \newtheorem*{claim}{Claim} \newtheorem*{lemma*}{Lemma} \newtheorem{lemma}[theorem]{Lemma} \newtheorem{corollary}[theorem]{Corollary} \newtheorem{proposition}[theorem]{Proposition} \newtheore...
2,877,628,091,648
arxiv
\section{Introduction} The vast majority of galaxies can be adequately described as consisting of a compact smooth spheroidal component containing a predominantly pressure-supported old [$\alpha$/Fe]-enhanced stellar population, and/or an extended flattened star-forming disc component containing intermediate and y...
2,877,628,091,649
arxiv
\section{Introduction} \label{sec:intro} Radio relics are steep-spectrum radio sources that are usually detected in the outer parts of galaxy clusters, at distances of $\sim 0.5-3$ Mpc from their centres. They are very often found in clusters with a perturbed dynamical state. There is good evidence for their associ...
2,877,628,091,650
arxiv
\section{Introduction} Double perovskite oxides A$_{2}$BB$'$O$_{6}$ (A is a rare-earth/alkaline-earth cation; B and B$'$ are transition metal cations), discovered in 1960s~\cite{Sleight}, have attracted enormous attention in the past decades. They have been found to show diverse properties, such as large room-temperatu...
2,877,628,091,651
arxiv
\section{Introduction} \label{sect:intro} The earliest stages of the process leading to the formation of a low-mass, Sun-like star are expected to be associated with supersonic (around 100 km\,s$^{-1}$) collimated jets. This ejection phenomenon is invoked to remove angular momentum from the protostar-disk system and al...
2,877,628,091,652
arxiv
\section{Introduction} \label{sec:intro} The {\it flux} of cosmic-ray (CR) electrons and positrons ($e^-$ and $e^+$) has been measured with unprecedented precision over more than four orders of magnitude of energy. One of the most accurate measurements on single CR $e^-$ and $e^+$ and inclusive ($e^+ + e^-$) fluxes is...
2,877,628,091,653
arxiv
\section{Introduction} \label{sec:introduction} Although recent neural models of language have made advances in learning syntactic behavior, research continues to suggest that inductive bias plays a key role in data efficiency and human-like syntactic generalization \cite{schijndel+al:2019,hu+al:2020}. Based on the lo...