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2,869,038,156,828
arxiv
\section{Introduction} \label{sec:intro} The stress tensors in general are widely used for description of internal forces of matter in various fields of science such as mechanical engineering and material science. In quantum systems as well, the stress tensors have been investigated for many years, including one of t...
2,869,038,156,829
arxiv
\section{Introduction} \label{sec:intro} Magnetized relativistic jets are important astrophysical phenomena, most notably in the context of gamma ray bursts (GRBs), but also in active galactic nuclei and tidal disruption events. As a result, the dynamics of relativistic jets have been studied extensively, often in te...
2,869,038,156,830
arxiv
\section*{Introduction} Since the observation of the Mott metal-insulator transition in Cr-doped V$_2$O$_3$,\cite{MT-exp-1} many properties of the Mott transition have been studied from theoretical and experimental aspects. Recent hot topics of the Mott transition include critical properties\cite{MT-critexp-1,MT-crite...
2,869,038,156,831
arxiv
\section{Appendix} \label{sec:appendix} In the appendix, we prove \fref{lem:approx} and \fref{thm:knn} on the performance of NIBH on $k$-nearest neighbor preservation. Finally, we include additional numerical simulation results and discussions on the empirical convergence of the NIBH algorithm. \section*{Proof of \...
2,869,038,156,832
arxiv
\section{Introduction} \label{1} Several types of dense relativistic matter exist in compact stars. For example, a relativistic electron plasma forms and plays an essential role in white dwarfs. Also, electrons form a relativistic fluid inside nuclear matter in the interior of neutron stars. If quark stars exist in na...
2,869,038,156,833
arxiv
\section{Introduction} \label{sec:introduction} The parton distribution functions (PDFs) of the proton are best determined from global analysis of a wide variety of deep-inelastic scattering (DIS) and related hard-scattering data taken from both fixed-target experiments and colliders (HERA, the Tevatron, and most recen...
2,869,038,156,834
arxiv
\section{Introduction} \label{Sec1} The present study concerns important issues on the design of neuroimaging experiments where the pioneering functional magnetic resonance imaging (fMRI) technology is employed to gain better knowledge on how our brain reacts to mental stimuli. In such an fMRI study, a sequence of...
2,869,038,156,835
arxiv
\section{Introduction} Modeling flow in fractured porous media has drawn great attention in the past decades, being fundamental for addressing many environmental and energy problems, such as water resources management, isolation of radioactive waste and ground water contamination. Given the wide applications of f...
2,869,038,156,836
arxiv
\section{Introduction} The first attempts to prove the ribbon--slice conjecture led to a 3--dimensional characterization of slice knots. Kawauchi, Shibuya and Suzuki \cite{KSS} proved that slice knots are exactly those that bound a normal singular disk in the 3--sphere with no clasp and no triple point of a certain ty...
2,869,038,156,837
arxiv
\section{Introduction} In a recent paper \cite{grl} the phenomenological implications of a class of string motivated supersymmetric models based on level-1 heterotic string models with Wilson line breaking of the underlying E$_{6}$ symmetry were investigated. These models (henceforth referred to as Extended Minimal Su...
2,869,038,156,838
arxiv
\section{Introduction} High energy p+p, p+A and A+A collisions at RHIC and LHC address many interesting questions. Some fundamental ones concern the relationship between quantum field theory and hydrodynamics, thermalization, and between quantum entanglement, decoherence, and thermodynamic entropy production. Accordin...
2,869,038,156,839
arxiv
\section{Introduction} The well-known measurements of the Anisotropies of the Cosmic Microwave Background Radiation by WMAP \cite{WMAP}, in combination with the supernovae type Ia observations \cite{SNIa}, imply that the evolution of the universe is dominated by dark energy, and a state parameter that is strongly co...
2,869,038,156,840
arxiv
\section{Introduction} Water megamasers are extremely luminous sources of 22 GHz radiation generated by the amplification of microwave signals through stimulated emission \citep[for a review, see][]{lo2005mega}. They can be found within a few parsecs of active galactic nuclei (AGN) and may be used to probe the kinema...
2,869,038,156,841
arxiv
\section*{APPENDIX} \section{Deep Reinforcement Learning Approach} \label{sec:approach} In this section, we introduce key components of our DRL-based planning method. We follow the paradigm of centralized training and decentralized execution (CTDE)~\cite{foerster2018counterfactual}, which has been widely used in MARL...
2,869,038,156,842
arxiv
\section{Introduction} Test case generation can be modelled as an optimisation problem, and so different kinds of search algorithms can be used to address it~\cite{harman2012search}. There can be different objectives to optimise, like for example branch coverage or the detection of mutants in the system under test (S...
2,869,038,156,843
arxiv
\section{INTRODUCTION} \label{introduction} The study of the supercooled liquid and glassy states in molecular systems is, nowadays, one of the most important topics in the physics of disordered materials. Though the molecular processes underlying glass formation still constitute an unsettled subject, some trac...
2,869,038,156,844
arxiv
\section{Introduction}\label{sec:intro} \subsection{Total Variation Regularization for Periodic Inverse Problems} \label{sec:problem} The development of optimization-based methods for the reconstruction of functions from finitely many linear measurements has been an important subject of recent investigation. This...
2,869,038,156,845
arxiv
\section{Alternative form of the order parameter} \label{sec:altern-form-order} In order to show that the proposed alternative form of the order parameter for the Vicsek model is identical to the original one, we start from the expression \begin{equation} \label{eq:1} \phi_\eta(t) = \frac{1}{N} \sum_{i=1}^N \cos \...
2,869,038,156,846
arxiv
\chapter{The Structure of the Standard Model} \label{cha:app_structure} The fundamental constituents of matter in Nature are fermions: leptons and quarks, with interactions specified by the gauge symmetries SU(3)$_C$$\times$SU(2)$_L$$\times$U(1)$_Y$ in the framework of the Standard Mod...
2,869,038,156,847
arxiv
\section*{Introduction} In this paper we treat several questions related to weight complex functors; the latter are defined on triangulated categories endowed with weight structures (as independently defined by the author and D. Pauksztello). We give an important definition of {\it pure} (co)homological functors.\...
2,869,038,156,848
arxiv
\section{Introduction} Water ice in the interior of asteroids and Near Earth Objects (NEOs) is of scientific and resource exploration interest \citep[e.g.][]{lodders99,zealey03}. Airless bodies gradually lose their ice to space by outward diffusion through the porous material, and the time-scale of this desiccation de...
2,869,038,156,849
arxiv
\section{Exact solutions with electromagnetic fields }\label{S3} Now we are going to apply the charged field equations of TEGR, Eqs. (\ref{fe}) and (\ref{fe1}), to the flat horizon spacetime, which directly gives rise to the following vierbein, written in terms of cylindrical coordinates ($t$, $r$, $\phi$, $z$) ...
2,869,038,156,850
arxiv
\section{Introduction} Modern physics is based on two fundamental pillars: quantum mechanics (QM) and Einsteinian general relativity (GR). When taken separately, these theories can claim success in satisfactorily describing many physical phenomena, but all attempts to make them compatible with each other have failed s...
2,869,038,156,851
arxiv
\section{Introduction} \allowdisplaybreaks {The interest in control systems society for performance and robustness analysis of large-scale dynamical network is rapidly growing \cite{Bamieh12, Siami13cdc, Young10, Bamieh11, abbas, Zelazo-Allgower, LovisariGarinZampieriResistance, Nicola, jovbamTAC05platoons, linfarjov...
2,869,038,156,852
arxiv
\section{Introduction} The time varying maps (so-called non-autonomous or time-dependent dynamical systems), describe situations where the dynamics can vary with time and yield very flexible models than autonomous cases for the study and description of real world processes. They may be used to describe the evolution of...
2,869,038,156,853
arxiv
\section{Abstract} \section{Introduction} Randomized trials often need large sample sizes to achieve adequate statistical power, and recruiting patients across the spectrum of illness severity can make it easier to find a sufficiently large cohort. However, this recruitment strategy can be a double-edged sword, as pa...
2,869,038,156,854
arxiv
\section{Introduction} We establish for quaternions an analog of the trace formula obtained by Connes in \cite{Co} for a commutative local field $K$. This formula has the form $\Tr(\widetilde{P_\Lambda}P_\Lambda\,U_f) = 2\log(\Lambda)f(1) + W(f) + o(1)$ (for $\Lambda\to\infty$), where $f$ is a test-function on $K^\t...
2,869,038,156,855
arxiv
\section{Introduction}\label{sec:intro} Equational unification of two terms is of special relevance to many areas in computer science and consists of finding a substitution that, when applied to both terms, makes them equal modulo some equational properties. Several algorithms have been developed in the literature fo...
2,869,038,156,856
arxiv
\section{Introduction} \label{sec:Intro} The tunneling of conduction electrons into local charge traps is a prevalent phenomena in solid state physics. Traps can be realized by artificial structures such as quantum dots,\cite{latta11} or by natural ``unwanted'' defects such as dangling bonds \cite{desousa07} and bound...
2,869,038,156,857
arxiv
\section*{Acknowledgments}\end{small}} \newcommand\altaffilmark[1]{$^{#1}$} \newcommand\altaffiltext[1]{$^{#1}$} \voffset=-0.6in \title[Multi-Stage AGN Feedback]{Quasar Feedback: More Bang for Your Buck} \author[Hopkins \&\ Elvis]{ \parbox[t]{\textwidth}{ Philip F. Hopkins\altaffilmark{1}\thanks{E-mail:phopkins@ast...
2,869,038,156,858
arxiv
\section{Introduction} The nature of the particle content of the dark matter (DM) sector of the Universe remains unknown. The dominant paradigm of the last several decades has been based on the assumption that DM is made up of some weakly interacting massive particles (WIMPs) in the mass range of a few \gev\ to a few...
2,869,038,156,859
arxiv
\section{Introduction} Throughout this paper, let $T>0$ be a given time horizon. As an extension of stochastic differential equations, mean-field stochastic differential equations (hereafter mean-field SDEs), also referred to as McKean-Vlasov equations, given by \begin{align}\label{eq:RegMainMcKeanVlasov} dX_t^x = \ov...
2,869,038,156,860
arxiv
\section*{Nomenclature} {\renewcommand\arraystretch{1.0} \noindent \begin{tabular}{l @{\quad=\quad} l} $a$ & speed of sound [m/s] \\ $C_D$& drag coefficient \\ $d$ & diameter of probe [m] \\ $E$ & Young's modulus [Pa] \\ $F_D$ & drag force [N] \\ $f$ & factor of safety $(f\geq1)$ \\ $g$ & loc...
2,869,038,156,861
arxiv
\section{Introduction} Given two latin squares of the same order a latin trade describes the differences between them. Early motivation \cite{DraKep1} for their study arose from considering the differences between the operation tables of a finite group and a latin square of the same order, that is: what is the `distan...
2,869,038,156,862
arxiv
\section{Introduction\label{sec:Introduction}} Understanding the properties of the dark sector represents one of the great experimental and theoretical challenges facing physics today. Indeed, we even lack insight into such fundamental questions as whether the dark sector is minimal ({\it e.g.}\/, consisting of on...
2,869,038,156,863
arxiv
\section{Introduction} \label{sec:Introduction} Low- to intermediate-mass stars approach the end of their evolution through the asymptotic giant branch (AGB) phase, during which they develop large-amplitude variability characterized by periodicities of tens to hundreds of days. These objects are known as long-period v...
2,869,038,156,864
arxiv
\section{} \begin{abstract} The recent $x> 1$ (e,e') and correlation experiments at momentum transfer $Q^2 \ge 2 \,\mbox{GeV}^2$ confirm presence of short-range correlations (SRC) in nuclei mostly build of nucleons. Recently we evaluated in a model independent way the dominant photon contribution to the nucl...
2,869,038,156,865
arxiv
\section{Introduction} Anti-coordination games form some of the basic payoff structures in game theory. Such games are ubiquitous; miners deciding which land to drill for resources, company employees trying to learn diverse skills, and airplanes selecting flight paths all need to mutually anti-coordinate their strateg...
2,869,038,156,866
arxiv
\section{Introduction}\label{sec:intro} In the age of cloud computing, cloud servers with adequate resources help their clients by performing huge amount of computation or by storing large amount of data (say, in the order of terabytes) on their behalf. In this setting, a client only has to download the result of th...
2,869,038,156,867
arxiv
\section{Introduction} \label{Sec:Introduction} Data-driven modeling using linear operators has the potential to transform the estimation and control of strongly nonlinear systems. Linear operators, such as Koopman and Perron-Frobenius operators, provide a principled linear embedding of nonlinear dynamics, extending...
2,869,038,156,868
arxiv
\section{Introduction} The integrated spectra of galaxies are notoriously difficult to interpret in terms of their overall metallicity and age (cf. the excellent review by \cite{CWB96}). Every part of the spectral energy distribution (SED) of a stellar system yields a different clue to a complex puzzle. In ...
2,869,038,156,869
arxiv
\section{Introduction} A circle packing in the plane $\c$ is simply a union of circles (here a line is regarded as a circle of infinite radius). As we allow circles to intersect with each other, our definition of a circle packing is more general than the conventional definition of a circle packing. For a given cir...
2,869,038,156,870
arxiv
\section{Introduction \label{Introduction}} The discovery of neutrino oscillations~\cite{fukuda:2002pe,ahmad:2002jz,araki:2004mb,Kajita:2004ga,ahn:2002up} has indicated a very peculiar structure of lepton mixing~\cite{Maltoni:2004ei}, quite distinct from that of quarks. These data have triggered a rush of papers attem...
2,869,038,156,871
arxiv
\section{Introduction} Many university courses involve some element of team-based project work. A set of projects is available for a course and each student submits a subset of projects as acceptable. For each acceptable student--project pair $(s,p)$, there is a weight $w(s,p)$ denoting the \emph{utility} of assigni...
2,869,038,156,872
arxiv
\section{Introduction} A nontrivial group $G$ is called left-orderable, if and only if it admits a total ordering $\le$ which is invariant under left multiplication, that is, $g\le h$ if and only if $fg\le fh$. An $L$-space is a rational homology $3$-sphere with minimal Heegaard Floer homology, that is, $\dim\widehat{...
2,869,038,156,873
arxiv
\section{Introduction} \label{sec:intro} White dwarf (WD) stars are the end stages of all stars with initial masses less than roughly $8-10$\,$M_{\sun}$ \citep{2015MNRAS.446.2599D} and have been used for decades as stellar chronometers (see review by \citealt{2001PASP..113..409F}). Since WDs no longer undergo core fus...
2,869,038,156,874
arxiv
\section{Introduction} \label{sec_intro} The notion of the index of a subgroup is a fundamental concept in group theory. It may be viewed as providing a way of measuring the size of a subgroup relative to its containing group. From this point of view, a subgroup of finite index may be thought of as differing from its p...
2,869,038,156,875
arxiv
\section{Introduction} \label{sec:intro} The dimensionality of an optimization problem significantly impacts any optimization procedure used to solve it, including evolutionary algorithms (EAs)~\cite{Chen2015, Omidvar2011}. However, there is still an open question of whether the difficulties of EAs with high dimensio...
2,869,038,156,876
arxiv
\section{Introduction} Light absorption can be described in terms of a process where polarization is induced in the medium. To linear order in the electric field component of the traversing light, ${\cal E}$, the induced polarizability, ${\cal P}$, can be expressed in terms of the dielectric susceptibility $\chi$ as ...
2,869,038,156,877
arxiv
\section{Background: addition Cayley graphs}\label{s:background} For a subset $S$ of the abelian group $G$, we denote by $\CP(S)$ the addition Cayley graph induced by $S$ on $G$; recall that this is the undirected graph with the vertex set $G$ and the edge set $\{(g_1,g_2)\in G\times G\colon g_1+g_2\in S\}$. Note that...
2,869,038,156,878
arxiv
\section{Introduction} Understanding the physical processes in the very early Universe is a crucial ingredient for deciphering the physics at energies that we cannot currently probe in terrestrial experiments. While most observables have been washed away by the thermal bath of the pre-recombination era and do not have ...
2,869,038,156,879
arxiv
\section{Introduction} Inspired by the success of BERT~\cite{devlin2018bert}, vision-and-language pre-training (VLP) has becoming an increasingly central paradigm for vision-and-language (VL) research. Models such as LXMERT~\cite{tan2019lxmert}, ViLBERT~\cite{lu2019vilbert} and UNITER~\cite{chen2020uniter}, hav...
2,869,038,156,880
arxiv
\section{Introduction} In recent years, solid state magnetic cooling based on the magnetocaloric effect (MCE) has gained considerable attention as an alternative to the traditional gas compression refrigeration technology~\cite{Julia,Jian,Pecharsky1}. The MCE is defined and measured using primarily two broad categories...
2,869,038,156,881
arxiv
\section{Conclusion and Discussion} \label{sec:conclusions} We presented a novel real-time SLAM system that jointly reconstructs a static scene and moving objects from either continuous or discrete observations (i.e. no smooth object motion required). The system automatically detects and models a moving object from...
2,869,038,156,882
arxiv
\section{Searches for new physics}\label{sec:bsm} Like hadron beams, muon beams emit significantly less synchrotron radiation than their electronic counterpart due to the muon's much larger mass. As a result, $\mu^+\mu^-$ colliders can reach {partonic} c.m.~energies that far exceed conventional $e^+e^-$ facilities, suc...
2,869,038,156,883
arxiv
\section{Introduction} The streamline upwind Petrov-Galerkin formulations (SUPG) for solving the unsteady Navier-Stokes equation using the finite element method introduce an artificial diffusion stabilization term, weighted by $\tau_{\mathrm{SUPG}}$, to balance out the negative diffusion inherent to the Galerkin metho...
2,869,038,156,884
arxiv
\section{Embedding \texorpdfstring{$\mathsf{CNOT}$}{CNOT} into \texorpdfstring{$\mathsf{ZX}_\pi$}{the real stabilizer fragment of the ZX-calculus} (proofs)} \label{sec:embeddingcnotzx} The following basic identity is needed: \begin{lemma} \cite[Lemma 19]{vilmart} \label{lem:dim} \label{lem:dim:proof} \begin{tikzpict...
2,869,038,156,885
arxiv
\section*{Results} \begin{figure} \centering \includegraphics[width=8.5cm]{fig1} \caption{Imitation on a square lattice fails to sustain cooperation and extortion. Depicted are the stationary frequencies of surviving strategies in dependence on the strength of the social dilemma $b$. It can be observed that for s...
2,869,038,156,886
arxiv
\section{Introduction} Depth estimation has shown great significance in many real-world applications, including robotic manipulation\cite{tremblay2018deep}, augmented reality \cite{tang20193d,marchand2015pose}, and autonomous driving \cite{manhardt2019roi,wu20196d}. However, it suffers from bottlenecks in high-velocity...
2,869,038,156,887
arxiv
\section{Introduction} \subsection*{Special points} Let \( S = \Sh_K(\mathbf{G}, X) \) be a Shimura variety. Then \( S \) has a canonical model over the reflex field \( E_\mathbf{G} = E(\mathbf{G}, X) \). According to the definition of a canonical model, for every special point \( s \in S \) with reflex field \( E(s...
2,869,038,156,888
arxiv
\section{...} We study jet-pairs produced in hard partonic collisions during the early stages of ultrarelativistic heavy ion collisions. In order to study the ultrarelativistic nuclear collisions, we first describe di-jet production in $p$-$p$ collisions, where we assume that a QGP-medium is not formed, and later on e...
2,869,038,156,889
arxiv
\section{Introduction} \label{sec:introduction} The study of the origin and structure of clusters of galaxies occupies a central place in the current efforts to understand the origin and evolution of the Universe. In particular, the determination of the mass distribution of clusters can prove crucial for verifying the ...
2,869,038,156,890
arxiv
\section{Introduction} \label{sec:introduction} Supersymmetry (SUSY) \cite{1} provides a solution to the gauge hierarchy problem if it breaks dynamically \cite{2}. However, the general supersymmetric extension of the Standard Model (SM) suffers from the flavor changing neutral current (FCNC) problem \cite{3}. The...
2,869,038,156,891
arxiv
\section{Preliminaries} The Riemann curvature operator of a Riemannian manifold $(M^n,g)$ is defined, as in~\cite{gahula}, by $$ \mathrm{Riem}(X,Y)Z=\nabla_{Y}\nabla_{X}Z-\nabla_{X}\nabla_{Y}Z+\nabla_{[X,Y]}Z\,. $$ In a local coordinate system the components of the $(3,1)$--Riemann curvature tensor are give...
2,869,038,156,892
arxiv
\section{Introduction} \label{intro} With the advent of highly sensitive spectropolarimeters like the Zurich Imaging Polarimeter (ZIMPOL) we now have access to the linearly polarized spectrum of the Sun that is due to coherent scattering processes in the Sun's atmosphere (and which has nothing to do with the well-kn...
2,869,038,156,893
arxiv
\section{Introduction} The origin of glass transition and the stability of a supercooled liquid against crystallization is still not well understood and is an open question \cite{inoue_international,tanaka-epje}. It is usually found that during fast cooling due to a large change in viscosity, crystallization can be...
2,869,038,156,894
arxiv
\section{Introduction} \label{sec:introduction} The first decades of exoplanet science have enabled detection and some characterization of exoplanets with a much wider range of properties than anticipated. In turn, this has prompted a reinvention of the formation history of the solar system. However, so far we barely ...
2,869,038,156,895
arxiv
\section{Introduction} \label{Intro} Relational Quantum Mechanics (RQM) is an interpretation of quantum theory proposed by Carlo Rovelli in several publications (cf.\ \cite{Rovelli:1996, Rovelli:2016, Rovelli:2018}, \cite{Laudisa:2019b}). According to this interpretative framework, Quantum Mechanics (QM) concerns to t...
2,869,038,156,896
arxiv
\section{Introduction} Manin \cite{Manin3fold} proposed to study (uni)rationality of Fano threefolds over nonclosed fields, in situations where geometric (uni)rationality is known. In cases where the Picard group is generated by the canonical class, i.e., those of rank and index one, he assigned an `Exercise' \cite[p.~...
2,869,038,156,897
arxiv
\section{Introduction} Modeling and simulation of traffic flow on road networks, has been investigated intensively using hyperbolic partial differential equations. Different models have been used, ranging from scalar conservation laws like the Lighthill Whitham Richards model through models using system of conservati...
2,869,038,156,898
arxiv
\section{Motivation} We consider a wireless relay network illustrated in Fig.\ref{fig:model} where a transmitter communicates with a receiver via $M$ relays and each terminal has a single antenna. We let ${\bf h},{\bf g}$ denote the channel vector between the transmitter and the relays, the channel vector between t...
2,869,038,156,899
arxiv
\section{Introduction} The SND detector \cite{SNDAchasov,SNDAbramov,SNDAulchenko} operates at the VEPP-2000 collider \cite{VEPPKhazin} since 2008. It produces hundreds gigabytes of stored raw data per day~\cite{DAQupd14}. The data are complemented with dozens megabytes of metadata, facility conditions (beam energy, lu...
2,869,038,156,900
arxiv
\section{Introduction} \paragraph{} The mappings $L_{a}$ and $R_{a}$ on a groupoid $(Q,\cdot)$ such that $L_{a}:Q\rightarrow Q$ and $R_{a}:Q\rightarrow Q$ ($a\in Q$) defined as $L_{a}(x)=a\cdot x$ and $R_{a}(x)=x\cdot a$ for all $x\in Q$ are called left and right translations respectively. These translations find rel...
2,869,038,156,901
arxiv
\subsection{\large A. \ $\phi^4$ Potential}\label{secA} As the first case, we assume a $\lambda \phi^4$ potential for the dark glueball. This is a simplified but interesting case where the same quartic coupling controls both glueball dark matter self-interaction strength and the properties of the DSS. We assume $\l...
2,869,038,156,902
arxiv
\section{Experiments}\label{sec:exp} In this section, we implement the APG-restart algorithm with different restart schemes listed in \Cref{table: 1} to corroborate our theory that APG-restart has guaranteed convergence with any restart scheme. In specific, for the fixed restart scheme we set the restart period to be $...
2,869,038,156,903
arxiv
\@ifstar\myssect\mysect{\@ifstar\myssect\mysect} \def\@startsection {subsection}{2}{\z@{\@startsection {subsection}{2}{\z@} {8pt plus 2pt minus 2pt}{6pt} {\elvbf}} \def\myssubsect#1{\@startsection {subsection}{2}{\z@*{#1}} \def\mysubsect#1{\@startsection {subsection}{2}{\z@{\hskip -1em.~#1}} \def\@ifstar\myssubsect...
2,869,038,156,904
arxiv
\section{Introduction} \label{sec:intro} \input{01-introduction.tex} \vspace{-0.1cm} \section{Problem Statement} \label{sec:problem} \input{02-problem.tex} \vspace{-0.3cm} \section{Taxonomy of Approaches} \label{sec:approaches} \input{03-approaches.tex} \vspace{-0.3cm} \section{Application Domains} \label{sec:app...
2,869,038,156,905
arxiv
\section{Introduction} In the last decade or so, non-Fermi liquid (NFL) behaviors around quantum critical point (QCP) have been one of main issues in physics, not only in heavy fermion systems\cite{lohneysen}, but also in those exhibiting the Mott transition\cite{imada}. Of these NFL behaviors, those of heavy fermion s...
2,869,038,156,906
arxiv
\section{Introduction} The goal of this paper is to argue that certain properties of three-dimensional Chern-Simons theory can be understood in a unified way by regarding the theory as an effective description of an $\mathcal{N} = 2$ supersymmetric completion. To an optimist, such a viewpoint might represent a partic...
2,869,038,156,907
arxiv
\section{Introduction} One flagship of AGN studies resides in the unique opportunity X-rays offer to directly probe the innermost regions around AGN central black holes. In fact, AGN spectral properties exhibiting numerous emission and absorption lines in X-rays, combined with the observed fast variability of both co...
2,869,038,156,908
arxiv
\section{Introduction} The Einstein field equations in general relativity predict the existence of black hole solutions, such as the Schwarzschild, Reissner-Nordstr\"{o}m and Kerr metrics. In recent several years, a number of detections of gravitational-wave signals emitted from binary black hole mergers [1,2] and the...
2,869,038,156,909
arxiv
\section{Mathematical Foundations of the Problem} In this Section we start with the Lagrangian for the system and set up the equilibrium equations and their solutions as well as the evolution equations with which we evolve the equilibrium solutions. \subsection {\bf Einstein-scalar-field equations} The Lagrange densi...
2,869,038,156,910
arxiv
\section{Introduction} \label{S:Intro} The Bullet cluster has provided particularly direct evidence for the existence of dark matter by displaying a large offset between the the gas component, marked by X-ray emission, and dark matter traced by gravitationally lensed images \citep{MarkevitchET02}. This merging clu...
2,869,038,156,911
arxiv
\section{INTRODUCTION} Deep inelastic electroproduction of heavy flavours is given by \begin{equation} e^-(\ell_1)+P(p)\rightarrow e^-(\ell_2)+Q(p_1)(\ \overline{Q}(p_2)\ ) +'X' \,. \end{equation} When the virtuality $-q^2 = Q^2 >0 \ (\ q=\ell_1-\ell_2\ )$ of the exchanged vector bosons is not too large $(\ Q^2\ll M_Z...
2,869,038,156,912
arxiv
\section*{Introduction} Ever since 1994 when Seiberg and Witten derived exact low-energy Wilsonian effective action of (pure) $SU(2)$ ${\cal N}=2$ SYM \cite{Seiberg:1994rs}, the interest in this kind of theories has been remaining extremely high. The reason is their remarkably rich physical and mathematical content...
2,869,038,156,913
arxiv
\section{Introduction} The investigation of the low-energy physics of the Heisenberg antiferromagnet (HAFM) \begin{equation} H = \sum_{<i,j>}{\bf s}_i\cdot{\bf s}_j \label{H} \end{equation} on the kagome lattice is one of the most challenging problems in the field of frustrated quantum magnetism. The sum over $\langl...
2,869,038,156,914
arxiv
\section{Introduction} Given the popularity of social media, it becomes much easier to collect a large number of videos from Internet for human action recognition. Effective video representation is required for recognizing human actions and understanding video content in such rapidly increasing unstructured data. By ...
2,869,038,156,915
arxiv
\section{Introduction} Automated freight handling system (AFHS) is a type of automated material handling system (AMHS), which is widely adopted in facilities with massive material handling requests, such as freight terminals, distribution centers and production plants, to enhance system efficacy by minimizing operatin...
2,869,038,156,916
arxiv
\section{Introduction} We put forth a model of \emph{stateless} distributed computation and initiate the systematic exploration of the power of such computation. We first discuss the motivation for this model and then present an exposition of the model and our results. \subsection{Motivation} One of our main motivati...
2,869,038,156,917
arxiv
\section*{Acknowledgments} We are grateful to the stimulating discussions with Wolfram Weise. This work is partly supported by the RIKEN iTHES and iTHEMS Programs. T.H. is grateful to the Aspen Center for Physics, supported in part by NSF Grants PHY1066292 and PHY1607611.
2,869,038,156,918
arxiv
\section{Introduction}\label{Intro} Let us begin with the preliminary definitions, concepts and relevant notation on trees. A \emph{graph} $G$ is a pair $(V,E)$ consisting of a countably-infinite set of \emph{vertices} $V$ and a set of \emph{edges} $E\subset \big\{(u, v): u, v\in V, u\neq v\big\}$ (which is a subse...
2,869,038,156,919
arxiv
\section{Contributions} All authors designed and planned research collaboratively and performed experiments. W.G. developed the theoretical model, and performed the numerical simulations and PIV analysis. All authors wrote the paper. \section{Data Availability} The data that support the plots within this paper and...
2,869,038,156,920
arxiv
\section{Introduction} In 2015, the Advanced Laser Interferometer Gravitational-Wave Observatory (Advanced LIGO) detected gravitational waves passing through Earth for the first time, inaugurating the era of gravitational-wave astronomy~\cite{Abbott:2016blz,Abbott:2016nmj,TheLIGOScientific:2016pea}. During 2017, Advanc...
2,869,038,156,921
arxiv
\section{Introduction} A newborn protostar generates a fast and well collimated jet, possibly surrounded by a wider angle wind. In turn, the ejected material drives (bow-)shocks travelling through the surrounding high-density medium and traced by H$_2$ ro-vibrational lines at excitation temperatures of around 2000 K....
2,869,038,156,922
arxiv
\section{Introduction} A crucial component of Bayesian inference is approximating the posterior distribution, which represents the current state of knowledge about the latent variables $\bd{x}$ after data $\bd{y}$ have been observed. When intractable integrals are involved, variational inference methods find an ap...
2,869,038,156,923
arxiv
\section{Introduction} Channelizing the electronic motion through confinement is the key to the future success of fabrication of nano-scale electronic devices \cite{Cui2001}. One of the most appropriate way of achieving it is to tailor the potential profile of electrons by constructing hetero-interfaces \cite{Mani2002...
2,869,038,156,924
arxiv
\section{Introduction} Quantum cryptography has become one of the most fruitful and versatile commercial applications of quantum information. While classical encryption can in principle be compromised with a powerful enough computer, quantum encryption provides a platform where any eavesdropping attempt can be detect...
2,869,038,156,925
arxiv
\section{Introduction} There is a growing interest in the community in making an embodied AI agent perform a complicated task following natural language directives. Recent studies of vision-language navigation tasks (VLN) have made significant progress \cite{anderson2018vision,fried2018speaker,zhu2020vision}. However...
2,869,038,156,926
arxiv
\section{Introduction} On 2013, September 29 a large solar filament rose smoothly, without any previous flare, vigorous dynamics, or significant brightening arcade. This filament lifted and afterwards created a two-ribbon flare, and its X-ray flux reached the category C1.2 by GOES 1-8~\AA\footnote{\url{http://www.lms...
2,869,038,156,927
arxiv
\section{Introduction}\label{intro} \vspace{-0pt} Multiclass classification is the problem of classifying data instances into one of three or more classes. In a typical learning process of multiclass classification, assuming that there are $K > 2$ classes, i.e. $Y= \{C_1,C_2,...,C_K\}$, and $n$ training instances, i.e...