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3,212,635,538,206 | arxiv | \section{Introduction}
\label{sec:intro}
The Magellanic System is engaged in a complicated interaction with the
Milky Way, which has created a trailing ``Magellanic Stream''
\citep{wannier72}, and a tidal ``Leading Arm'' of \HI. The Leading
Arm has a metallicity similar to that of the Magellanic Clouds and a
consisten... |
3,212,635,538,207 | arxiv | \section{Introduction}
High performance computing (HPC) or supercomputing is an interdisciplinary area of research. In addition to strong proficiency in the scientific domain and numerical algorithms, scientists and engineers working in HPC need strong programming skills, as well as good knowledge of state-of-the-art... |
3,212,635,538,208 | arxiv |
\section{ Derivation for time evolution of temperatures \label{Sup_appendix time ev}}
In this section, we derive the equations for the time evolution of granular temperatures. We define the velocity distribution function $f(\boldsymbol{v},t)$ as the number density of particles having velocity $\boldsymbol{v}$ at time... |
3,212,635,538,209 | arxiv | \chapter{Higher order Fourier analysis}
\label{chap:fourier}
\renewcommand*{\PolyDomain}{\mathbb{Z}}
Through the work of Host and Kra \cite{MR2150389} and Ziegler \cite{MR2257397} on characterisitc factors for multiple term ergodic averages, \emph{nilmanifolds} became a central object of study in this area.
More recent... |
3,212,635,538,210 | arxiv | \section{Introduction}\label{sec:intro}
The high mass X-ray binary system {\mbox{Cyg~X-1}}\xspace
\citep{bowyer:1965,murdin:1971} consists of a $14.8\pm 1.0\,M_\odot$
black hole and the $19.2\pm1.9\,M_\odot$ OB giant star HDE~226868
\citep[][but see also \citealt{ziolkowski:2014}]{orosz:2011}. The
system is at a dist... |
3,212,635,538,211 | arxiv | \section{Introduction}
\vspace{-0.06cm}
\label{sec:intro}
Nowadays, with the proliferation of powerful computer graphics tools, such as Softimage XSI, Maya, and TerraGen, it has become easy for non-professional technicians to artificially create digital scenes without leaving any perceptible clues. Figures \ref{fig:ex... |
3,212,635,538,212 | arxiv | \section{Introduction}
\IEEEPARstart{W}{ith} the growing data volume and the increasing concerns of data privacy, distributed machine learning is thriving with unprecedented prosperity. Its scalability makes it possible to expand the computational capability with the help of numerous nodes. Parallel Stochastic Gradie... |
3,212,635,538,213 | arxiv | \section{Introduction}
More than ten years after the first measurements by the CDF Collaboration of the {\it direct}
production of $J/\psi$ and $\psi'$ at $\sqrt{s}=1.8$
TeV~\cite{Abe:1997jz,Abe:1997yz} we are still facing disagreements between
theoretical predictions from the various available models and experimenta... |
3,212,635,538,214 | arxiv | \section{Introduction}
A satisfactory understanding of the light hadronic states using $\ensuremath{S\!U}(3)$ flavor
symmetry is one of the outstanding success stories of particle
physics~\cite{GellMann:1961, GellMann:1962xb, Ne'eman:1961cd, Okubo:1961jc,
Okubo:1964xz}. In its true essence the $\ensuremath{S\!U}(3)$ f... |
3,212,635,538,215 | arxiv | \section{Introduction}
Streamers of both polarities appear in many phenomena in nature~\cite{rai91,Baz,wil06}. Industrial
applications, on the other hand, have largely focussed on positive (cathode directed) streamers
\cite{wag66,PG76,Mar75,Bas97,Spy89,Taj89,Crey94,All95,Ale96,Pan00,Pan01,Pan03,Pan04,panchpre,Pan05,OO... |
3,212,635,538,216 | arxiv | \section{Introduction}
The purpose of this document is to describe the {\sc Essence}$'$\xspace language and to be a
reference for users of {\sc Essence}$'$\xspace. {\sc Essence}$'$\xspace is a constraint modelling language,
therefore it is mainly designed for describing $\mathcal{NP}$-hard decision
problems. It is ... |
3,212,635,538,217 | arxiv | \section{Introduction}
Say $G$ is a locally compact group equipped with a Haar measure, and $C_c(G)$ is the convolution $*$-algebra of continuous, compactly supported, complex-valued functions on $G$. In general $C_c(G)$ has many interesting $C^*$-algebra completions, but the two most important are: the maximal compl... |
3,212,635,538,218 | arxiv | \section{Background}\label{background}
Astronomical observations and statistical modeling permit the
high-fidelity analysis of strong gravitational lensing (SL) systems,
which display an astronomical phenomenon in which light from a distant
object is deflected by the gravitational field of another object along
its pat... |
3,212,635,538,219 | arxiv |
\section{Introduction}
Since its inception, in 1993, R has had a call-by-need semantics. When a
function is invoked its arguments are packaged up into \emph{promises} which
are evaluated on demand. The values obtained by evaluating those promises
are memoized to avoid the need for recomputation. Thus the following... |
3,212,635,538,220 | arxiv | \section{Introduction}
\IEEEPARstart{C}{ompressed} sensing (CS) theory
\cite{Do06,CaRoTa06,CaTa05} addresses accurate recovery of unknown
sparse signals from underdetermined linear measurements, and has
become one of the main research topics in signal processing
community.
Most of the compressed sensing researches ha... |
3,212,635,538,221 | arxiv | \section{Introduction}
Magnetic frustration has recently attracted renewed interest as novel and exotic new phases can arise from the frustrated magnetic interactions.\cite{GARDNER10} The pyrochlore class of materials is an ideal family to investigate as its crystal structure promotes magnetic frustration. Forming con... |
3,212,635,538,222 | arxiv | \section{Introduction}
All graphs in this paper are finite, undirected, simple and connected. We follow the notation and terminology in the book \cite{BM}.
Based on the communication of information between agencies of the government, an immediate question is put forward as follows. What is the minimum number of pas... |
3,212,635,538,223 | arxiv | \section{Introduction}
\begin{figure}[!t]
\centering
\includegraphics[width=1.0\linewidth]{system.pdf}
\caption{An representative interaction process between an advertiser and the ad platform.}
\label{fig:system}
\end{figure}
As online-shopping growing rapidly in popularity, e-commerce platforms such as Taobao ... |
3,212,635,538,224 | arxiv | \section{Introduction}
{\it Collider bias} is bias in a measure of association between two variables due to conditioning on a common outcome (a {\it collider}) of the two variables or of their causes.
In various contexts collider bias is also known as M-bias, selection bias, endogenous selection bias, or Berkson's bi... |
3,212,635,538,225 | arxiv |
\section{Transition rates}\label{aptr}
As stated in the main text, collective effects from ordered structures have
been investigated for two models for $q=2$ and $q=3$. They can be grouped in a common expression for $q=2$, in which engine B is precisely set by $\alpha=0$.
The system dynamics is governed by the mas... |
3,212,635,538,226 | arxiv | \section{Switching Times}
\end{document}
\section{Application}
\label{sec:application}
\subsection{Archaeological Skeletal Facial Completion}
During archaeological excavation, archaeologists rarely recover complete evidence. Especially human skeletons, during the long history and complex influence of natural fac... |
3,212,635,538,227 | arxiv | \section{Introduction}\label{intro}
Throughout this paper, we will consider a compactly supported, positive, and finite measure $\mu$ with infinite support in the complex plane. Given such a measure, one can perform Gram-Schmidt orthogonalization on the sequence $\{1,z,z^2,z^3,\ldots\}$ in the space $L^... |
3,212,635,538,228 | arxiv | \section{Introduction}
Denote by $L^2$ the Hilbert space of all Gaussian square-integrable functions $f$ on $\mathbb{C}^n$, that is,
$$
\int_{\mathbb{C}^n} |f(z)|^2 e^{-|z|^2} dv(z) < \infty
$$
where $v$ is the standard Lebesgue measure on $\mathbb{C}^n$. The Fock space $F^2$ (aka Segal-Bargmann space) consists of all... |
3,212,635,538,229 | arxiv | \section*{Opening statements}
\input{Sections_Model/S0_Model_Notation}
\input{Sections_Model/S1_Model_Intro}
\input{Sections_Model/S2_Model_GE}
\input{Sections_Model/S3_Model_MODEL}
\input{Sections_Model/S4_Model_Calibration}
\input{Sections_Model/S5_Model_IBVP}
\input{Sections_Model/S6_Model_Canonical}
\input{... |
3,212,635,538,230 | arxiv | \section{INTRODUCTION}\label{sec:intro}
When we become self-aware, we can recognise ourselves in any environment. This is possible because we can distinguish our body as a separate entity from the world; allowing us to adapt to different situations and scenarios. Robots, however, lack this capability because they are ... |
3,212,635,538,231 | arxiv | \section{\label{sec:level1}First-level heading:\protect\\ The line
break was forced \lowercase{via} \textbackslash\textbackslash}
This sample document demonstrates proper use of REV\TeX~4.2 (and
\LaTeXe) in manuscripts prepared for submission to AAPM
journals. Further information can be found in the documentation incl... |
3,212,635,538,232 | arxiv | \section*{Nomenclature}
{\renewcommand\arraystretch{1.0}
\noindent\begin{longtable*}{@{}l @{\quad=\quad} l@{}}
U$_\infty$ & Free stream velocity\\
U$_{k}$ & Mean velocity at height of the roughness\\
U$_{blasius}$ & Normalized Blasius velocity \\
U & Mean velocity at a point\\
u$'$ & Fluctu... |
3,212,635,538,233 | arxiv | \section{Universal operators}
The purpose of this note is to discuss two constructions of universal operators between separable Banach spaces.
We are interested in isometric universality.
Namely, an operator $U$ is \emph{universal}
if its restrictions to closed subspaces are, up to linear isometries, \emph{all} l... |
3,212,635,538,234 | arxiv | \section{Introduction}\label{INTRO}
Let $S = S_{g,p}$ be an orientable compact surface of genus $g$ with $p$ marked points (or punctures). The moduli space $\mathcal{M}(S)$ has been studied extensively both in the Riemann surface setting and the hyperbolic geometry setting. In this paper we are interested in the space... |
3,212,635,538,235 | arxiv |
\section{Introduction}\label{sect:introduction}
Let $ORD$ denote the class of all ordinals, $A\subset ORD$ and $\alpha$ a limit ordinal.
$\alpha$ is said to be $\Pi_{n}$\textit{-reflecting} on $A$ iff
for any $\Pi_{n}$-formula $\phi(x)$ and any $b\in L_{\alpha}$, if
$\langle L_{\alpha},\in\rangle\models\phi(b)$,
th... |
3,212,635,538,236 | arxiv | \section{Introduction}\label{section:Introduction}
Deep Learning (DL) has empowered a wide range of applications from labelling systems, web searches, content filtering to recommendation systems on entertainment and e-commerce systems. The prominent feature of this technology is its ability to perform tasks that we hum... |
3,212,635,538,237 | arxiv | \section{Introduction}
\par Applegate et al \citep{applegate2006traveling} describes the traveling salesman problem as, ``Given a set of cites along with the cost of travel between each pair of them, the traveling salesman problem, or TSP for short, is the problem of finding the cheapest way of visiting all the cities ... |
3,212,635,538,238 | arxiv | \section{Introduction}
\begin{figure}[t]
\begin{center}
\includegraphics[width=1\columnwidth]{resource/fig1.pdf}
\end{center}
\vspace{-0.5cm}
\caption{The motivation of our frequency-aware dynamic network. We illustrate the performance of SISR networks with various amounts of computation separately processing patc... |
3,212,635,538,239 | arxiv | \section{Introduction}
The advent of two-dimensional (2D) materials has sparked a considerable scientific interest due to their unique properties and their potential for applications in electronic, spintronic, valleytronic, optoelectronic and plasmonic devices. Silicene, the silicon counterpart of graphene has received... |
3,212,635,538,240 | arxiv | \section{Introduction}
In the last decades, the coordinated efforts of laboratory experiments using high-resolution flow diagnostics and large-scale direct numerical simulations have considerably progressed our understanding of key physical processes and mechanisms in turbulent flows. Despite these new discoveries, pro... |
3,212,635,538,241 | arxiv | \section{Introduction}
The numerical solution of linear constant coefficient partial differential equations (PDEs) by boundary integral equation (BIE) methods provide several advantages
over methods based on volumetric discretizations such as finite difference and finite element methods.
Indeed, BIE methods can easily... |
3,212,635,538,242 | arxiv | \section{Introduction}
This edition of the {\it Quark Matter} series of conferences has witnessed an impressive number of new theoretical and experimental results, which is a testament to the activity in this vibrant field. We discuss in turn some of the new results that were presented at the meeting.
\section{Theory ... |
3,212,635,538,243 | arxiv | \section{Introduction}
Schizophrenia is a chronic mental health disorder that causes a range of heterogenic psychological symptoms and significantly impairs the quality of life of millions of people worldwide. The current gold-standard diagnosis for schizophrenia, described in the Diagnostics and Statistical Manual of... |
3,212,635,538,244 | arxiv | \section{Introduction}
Quantum magnets constitute a flourishing field of research.
In particular, the search for unconventional excitations and their
quantitative understanding represents an important issue of current interest.
The elementary excitations which are known best are spin waves or magnons.
They appear a... |
3,212,635,538,245 | arxiv | \section{Introduction}
Chiral anomaly has been a profitable probe to the nonperturbative
sector of quantum field theories such as quantum chromodynamics (QCD)
since its discovery dated back in the
'60s~\cite{Bell:1969ts, *Adler:1969gk}. The resolution of the PCAC
(partially conserved axial current) puzzle~\cite{Suth... |
3,212,635,538,246 | arxiv | \section{Introduction}
\label{sec:intro}
Let $\FF(N)$ denote the time required to compute the prime factorisation
of an integer $N \geq 2$.
By ``time'' we mean ``number of bit operations'',
or more precisely, the number of steps performed by a deterministic
Turing machine with a fixed, finite number of linear tapes
\c... |
3,212,635,538,247 | arxiv | \section{Introduction}
An elliptic curve $E$ over a field $F$ is a curve
that is given by an equation of the form
\begin{equation}
Y^2+a_1XY+a_3=X^3+a_2X^2+a_4X+a_6,\quad a_i\in F.
\end{equation}
We let $E(F)$ denote the set of points $(x,y)\in F^2$ that satisfy
this equation, along with a point at inf... |
3,212,635,538,248 | arxiv | \section{Introduction}
\ \ \ The unification of electromagenetic and weak interactions is one of
the biggest achievements of theoretical physics (the GWS model). This model
successfully describes all known experiments involving electroweak
interactions, although the gauge sector is not yet directly accessible in
exper... |
3,212,635,538,249 | arxiv |
\section{Introduction}
Imagine is winter season and our quest is to develop an auto-tagging system that recognizes all the activities in our winter vacation footage. Luckily, there have been tremendous advances in the action recognition community \cite{densetraj, i3d, vivit}. For instance, we could leverage one of... |
3,212,635,538,250 | arxiv | \section{Prelude}
Let $W_p^1(\mathbb{R}^n), 1\leq p\leq \infty$ be a Sobolev space of weakly differentiable functions $u\in L_p(Q)$ with first order weak derivatives in $L_p(Q), i=1,...,n$. Originally discovered in the celebrated paper \cite{sobolev}, the concept of Sobolev spaces became a trailblazing idea in many fi... |
3,212,635,538,251 | arxiv | \section{Introduction}
Social media such as Weblogs, microblogs, and discussion forums are used daily to express personal thoughts, which allows researchers to gain valuable insight into the opinions of a very large number of individuals, i.e., at a scale that was simply not possible a few years ago. As a result, nowa... |
3,212,635,538,252 | arxiv | \section{Introduction}
An indispensable concept of modern robot motion planning theory is
the concept of configuration space. In these cases, the problem is to
find a path from an initial point to a goal
point in the configuration space. However, the explicit mapping
from workspace obstacles to configuration space is, ... |
3,212,635,538,253 | arxiv | \section{Forewords}
This result will be published as part of my PhD thesis later. This manuscript contains the proof of the claim, but is not peer-reviewed. The proof can still be streamlined, especially by proving a better version of lemma \ref{boundaryInt}. This will require interpolation between Lorentz and BMO spac... |
3,212,635,538,254 | arxiv | \section{Introduction}
\label{sec_intro}
This goal of this meeting is the search for exotic states of
matter in compact astrophysical objects. Over the years many
possible signatures for phase transitions in compact stars have
been suggested, for example unusual masses, radii or cooling
histories, or sudd... |
3,212,635,538,255 | arxiv | \section{Preliminaries}
First we swiftly develop some basics about injective metric spaces needed later on. We adopt the notation of \cite{Lan} and refer thereon and to the original papers \cite{AroP,Isb,Dre} for a comprehensive picture and further results. Then we prove Proposition~\ref{Prop:CharInjSub} mentioned in ... |
3,212,635,538,256 | arxiv | \section{Introduction}
Rapid progress in lithographic techniques and hybrid material integration is leading to complex on-a-chip platforms with thousands of elements miniaturized into integrated photonic circuits. Nowadays, photonic circuits are widening their applicability thanks to their competitive performances, rep... |
3,212,635,538,257 | arxiv | \section{Introduction}
Spaces of distributions on a smooth manifold play an important role in the theory of linear partial differential equations.
The space $\mathcal{D}'(P)$ of distributions on a manifold $P$ is defined as the continuous dual of the $LF$-space $\mathord{\mathcal{C}^{\infty}_{c}}(P)$
of smooth, compac... |
3,212,635,538,258 | arxiv | \section{Introduction}
{ \begin{figure}[!ht]
\centering
\includegraphics[width=0.6\textwidth]{S_3,2_-Intro.png}
\caption[Text der im Bilderverzeichnis auftaucht]{ \footnotesize{The triangleland sphere.
Its poles E are each of the two labelling orientations of equilateral triangles,
the meridians ma... |
3,212,635,538,259 | arxiv | \section{Introduction}
\label{sec:intro}
\input{sec_intro}
\section{The \textsc{Spider}\xspace instrument}
\label{sec:instrument}
The \textsc{Spider}\xspace payload consists of six monochromatic refracting telescopes housed within a single liquid helium cryostat, which is supported and pointed by a lightweight carbo... |
3,212,635,538,260 | arxiv | \section{Introduction}
The aim of this paper is to solve several problems naturally arisen in studying the connection between holomorphic Poisson manifolds and holomorphic Lie algebroids with real Poisson geometry.
Holomorphic Poisson structures appear naturally in many places \cite{MR1665693,MR1396600,MR1178029,MR1... |
3,212,635,538,261 | arxiv | \section{Introduction}
\
\begin{CJK*}{GBK}{song}
\end{CJK*}
This paper is devoted to investigating sharp constants of
approximation numbers and tractability of embeddings of weighted
anisotropic Sobolev spaces on $[0,1]^d$ into $L_2([0,1]^d)$.
The approximation numbers of a bounded linear operator
$T:X... |
3,212,635,538,262 | arxiv | \section{\label{sec:intro}Introduction}
Active matter is a state of matter in which the constituents constantly consume energy to perform work: the system is out of equilibrium~\cite{ramaswamy10a,marchetti13a}. Over the past decade, there has been a quantum leap in the ability to fabricate artificial self-propelled pa... |
3,212,635,538,263 | arxiv | \section{INTRODUCTION}
An instructive global perspective on the forces controlling the weak
decays of charm
hadrons can be gained by considering their lifetime ratios
\cite {DANILO}:
$$\frac {\tau (D^+)}{\tau (D^0)}\simeq 2.50\pm 0.05\; ,\; \; \;
\frac {\tau (\Xi _c^+)}{\tau (\Xi _c^0)}\simeq 4.0\pm 1.5\eqno(1)$$
$$\f... |
3,212,635,538,264 | arxiv | \section{Introduction}
As high level motivation, consider a recommendation system that interacts sequentially with a single user. The system faces the classic tradeoff between exploration and exploitation: by experimenting with different recommendations the system can learn to offer more effective personalized recommen... |
3,212,635,538,265 | arxiv | \section{Introduction}
Let $\mathbb{N}$, $\mathbb{Z}$, $\mathbb{R}$, $\mathbb{C}$ be the
sets of natural, integer, real and complex numbers, respectively.
Denote by $|\cdot|$ the Euclidean norm for every finite dimensional
space on $\mathbb{R}$.
Fix a real valued sequence $(t_n)_{n=-\infty}^{+\infty}$, such tha... |
3,212,635,538,266 | arxiv | \section{Introduction}\label{intro}
Mathematical modelling of collective behaviors, such as flocks of birds, schools of fish, or aggregation of bacteria, etc, has received a bulk of attention because of its possible applications in the field of engineering, biology, industry, and sociology \cite{Aoki, LPLSFD, PGE, TBL... |
3,212,635,538,267 | arxiv | \section{Introduction}
The impact of the environment on quantum entanglement
is manifold. On the one hand, an initial entanglement
between independent systems, can be destroyed by
their coupling to their surroundings. This fragility of quantum
entanglement is substantiated by the fact that it can vanish
in fini... |
3,212,635,538,268 | arxiv | \section{Introduction}
Weak gravitational lensing \cite{ludoV} of distant background sources by
intervening large scale structure, distorts their images over large
angular scales. The effect arises due to fluctuations of the
gravitational potential, and a consequent deflection of light by
gravity. Measurement and qu... |
3,212,635,538,269 | arxiv | \section{Introduction}
\label{Intro}
We define a class of problems $H$ that are constrained discrete optimization problems with the objective function (OF) satisfying the principle of optimality (PO) without considering the constraints \cite{Bellman}. The constraint functions are assumed to be neither convex nor linear... |
3,212,635,538,270 | arxiv | \section{Introduction}
\label{intro}
Let $c\in \mathbb{R}$, $I_c := \left [ 0, -\frac{1}{c}\right ]$ if $c<0$, and $I_c:= [0,+\infty )$ if $c \geq 0$.
For $\alpha \in \mathbb{R}$ and $k \in \mathbb{N}_0$ the binomial coefficients are defined as usual by
\begin{equation*}
{\alpha \choose k}:=\frac{\alpha (\alpha -1)\d... |
3,212,635,538,271 | arxiv | \section{(Anti-)BRST Charges and Nilpotency: Arbitrary Dimensional non-Abelian Gauge Theory}
In this section, we show that the {\it Noether} conserved (anti-)BRST charges for the D-dimensional non-Abelian 1-form gauge theory
are {\it non-nilpotent}. However, following our proposal, we can obtain the app... |
3,212,635,538,272 | arxiv | \section{Introduction}
An essential requisite for media forensics is the ability to track the provenance of multimedia content.
Such a capability may answer several questions about the origin of an image or video with differing levels of specificity.
At the one end, the focus may be on identifying whether a given medi... |
3,212,635,538,273 | arxiv | \section{Introduction}
Instanton bundles on ${\mathcal C}\p3$ were introduced by Atiyah, Drinfeld, Hitchin and Manin in the late 1970's as the holomorphic counterparts, via twistor theory, to anti-self-dual connections with finite energy (instantons) on the 4-dimensional round sphere $S^4$. To be more precise, an \emp... |
3,212,635,538,274 | arxiv | \section{Introduction}\setcounter{equation}{0}\setcounter{dei}{0}\setcounter{exa}{0}
\setcounter{thm}{0}\setcounter{cor}{0}\setcounter{lem}{0}\setcounter{pro}{0}\setcounter{rmk}{0}
\mbox{}
Throughout this paper, let $T$ be a positive constant or $\infty$, and denote $\Delta=\Delta(T)=(0,T]$ if $T<\infty$ and $\De... |
3,212,635,538,275 | arxiv | \section{Introduction}
Nowadays, various smart devices such as smart speakers, mobile phones, health care devices, surveillance devices, smartwatches, and many more have become a part of daily life. Since most of these devices are small in size, it is difficult to have a reasonable-sized keyboard. Moreover, speech is ... |
3,212,635,538,276 | arxiv | \section{Introduction}
We consider here connected compact K\"ahler manifolds $X$ of (complex) dimension $n>1$. An irreducible compact analytic subset $Z$ of $X$ will be said to be a {\em subvariety} of $X$. It is said to be {\em nontrivial} if its (complex) dimension is neither $0$ nor $n$.
The bimeromorphic classi... |
3,212,635,538,277 | arxiv | \section{Introduction}\label{sec:intro}
\subsection{High-mass star formation}\label{sec:intro1}
The formation mechanism of high-mass stars is one of the most important issues in astronomy, because their extremely energetic interactions with surrounding material, in the form of UV radiation, stellar winds, and supernova... |
3,212,635,538,278 | arxiv | \section{Approach}
In this section, we present the proposed approach to the item recommendation task in CRS, which is inspired by the recently proposed pre-trained language models~\cite{DBLP:conf/naacl/DevlinCLT19}.
Our approach contains two major stages, namely the pre-training and fine-tuning stages. We aim to learn ... |
3,212,635,538,279 | arxiv | \section{Significance of the Tool}
OCEL \url{http://www.ocel-standard.org/1.0/specification.pdf} has been proposed to model the structure of object-centric event logs \cite{ghahfarokhi2021ocel}.
Implementations of the format have been made available for JSON and XML file formats, and tool support is proposed for the P... |
3,212,635,538,280 | arxiv | \section{Introduction}
There is increasing interest in proximity-coupled superconducting multilayers. This interest is fuelled by their various potential applications in the fields of transition-edge sensors (TESs) \citenumns{Irwin_1995}, kinetic inductance detectors (KIDs) \citenumns{Day_2003}, superconducting electr... |
3,212,635,538,281 | arxiv | \section{Introduction}
Let $(W,S)$ be a Coxeter system. We call an element $x \in W$
an {\sl intrinsic reflection of $W$} if $x \in R^W := \{ w^{-1}rw \mid r \in R, w \in W \}$
for all Coxeter generating sets $R$ of $W$. This paper is a contribution
to the following problem.
\smallskip
\noindent
{\bf Problem... |
3,212,635,538,282 | arxiv | \section{Introduction}
\setcounter{equation}{0}
Let $\mathcal S$ denote the Schur class of all analytic functions mapping the open unit
disk ${\mathbb D}=\{z\in{\mathbb C}: \, |z|<1\}$
into the closed unit disk $\overline{{\mathbb D}}$. We denote by $\mathcal{RS}_k$ the set of
all rational ${\mathcal {S}}$-class f... |
3,212,635,538,283 | arxiv | \section{Introduction}
Evolved oxygen-rich stars are among the most powerful maser emitters known to
date. Maser emission in $^{28}$SiO rotational transitions of vibrationally
excited states is ubiquitous and very intense in these sources. Rotational
transitions up to $J=7\rightarrow6$ have been detected in the vib... |
3,212,635,538,284 | arxiv | \section{Motivation}
The Disp method has been the default direction reconstruction algorithm for single telescope observations (e.g.~\cite{lessard01,kranich03,domingo05}).
The introduction of new generation ground-based gamma-ray instruments operating in array mode with multiple telescopes allowed for new and more ac... |
3,212,635,538,285 | arxiv | \section{Introduction}
Nonlocality is the most curious feature of the quantum world. A celebrated nonlocal phenomenon - Bell nonlocality \cite{Bell66} arises in quantum physics due to entanglement. This phenomenon actually does not allow any local realistic explanation. Apart from its fundamental implications, Bell non... |
3,212,635,538,286 | arxiv | \section{INTRODUCTION}
\noindent
Many methods used to model uncertainty about functions make assumptions about the smoothness of the function over its input space. By smoothness, we are referring to the assumption that minor perturbations in the inputs lead to only minor changes in the function's output. However, th... |
3,212,635,538,287 | arxiv | \section{Introduction}\label{sec:intro}
\setcounter{equation}{0}
In recent years, much study has been devoted to various stochastic processes,
such as percolation, Ising model, contact process and
branching random walk, on general graphs
(\cite{cf:Hagg1}, \cite{cf:Lyons1}, \cite{cf:Lyons2}, \cite{cf:Pem},
\cite{cf:Pe... |
3,212,635,538,288 | arxiv |
\section{Introduction} \label{sec:intro}
Following the discovery of a Higgs boson~\cite{Aad:2012tfa,HiggsDiscovery,Chatrchyan:2013lba},
the standard model (SM) may be complete.
However, there are phenomena such as baryon asymmetry, neutrino mass,
and dark matter, questions of naturalness, and hierarchy problems for w... |
3,212,635,538,289 | arxiv | \section{Introduction}
Although Galactic globular clusters (GCs) are chemically homogeneous with
respect to Fe and most other heavy elements (see e.g. \citealt{KSL92}), it has
long been known that they show inhomogeneities in many lighter elements
(e.g. C, N, O, Mg, Al). These inhomogeneities are considered anomalous
... |
3,212,635,538,290 | arxiv | \section*{References}
\medskip
|
3,212,635,538,291 | arxiv | \section{Introduction}
In a recent series of papers \cite{1}-\cite{3}, \cite{*} we have studied the $(n,
n')$ bottomonium dipion transitions $\Upsilon (n) \to\Upsilon
(n') \pi\pi$ and decays $\Upsilon (n) \to B \bar B, B \bar B\pi$ using effective Lagrangian derived in the framework
of the Field Correlator Method... |
3,212,635,538,292 | arxiv | \section{Introduction with uniqueness theorem of Tsallis entropy}
Three or four decades ago, some extensions of Shannon entropy was studied by many researchers \cite{AD}.
In statistical physics, the Tsallis entropy was defined in \cite{Tsa} by
$$H_q(X) \equiv \frac{\sum_{x}\left( p(x)^q -p(x) \right)}{1-q} = \sum_x\e... |
3,212,635,538,293 | arxiv |
\subsection{Lower bounding the integrality gap}
\begin{theorem} \label{t:integralityGap}
Let $k \in \mathbb{N}$ be such than $k-1$ is a power of prime.
There exists an instance of the welfare maximization problem with positive hypergraph function of rank $k$ and integrality gap $k - 1 + \frac{1}{k}$ for Linear Progra... |
3,212,635,538,294 | arxiv | \section{Introduction}
The task of \emph{cognate detection}, i.e., the search for genetically related words in different languages, has traditionally been regarded as a task that is barely automatable.
During the last decades, however, automatic cognate detection approaches since \citet{Covington:96} have been constan... |
3,212,635,538,295 | arxiv | \section{Introduction}
Web Service (WS) is a quite new distributed software component which emerged about ten years ago to utilize the most widely-used Internet application protocol--HTTP as its base transport protocol. As a component, a WS has the similar ingredients as other ones, such as DCOM, EJB, CORBA, and so on... |
3,212,635,538,296 | arxiv | \section{Introduction}
\label{sec:intro}
Throughout this paper $\R$ will denote a fixed real closed field and $\C$ the algebraic closure of $\R$.
We also fix a field $\F$ of characteristic $0$.
For any
closed
semi-algebraic set $S$ we will denote by $b^i(S,\F)$ the dimension of the $i$-th cohomology group,
$\H... |
3,212,635,538,297 | arxiv | \section{Implementation details}
\paragraph{Encoder.}
We use a modified ResNet-50~\cite{he2016deep} as the default encoder in this work following~\cite{luo2019bag,wang2020unsupervised,ge2020self}.
The last stride of the downsampling operation in the original network is set to 1 (original ResNet-50: 2).
The classifier ... |
3,212,635,538,298 | arxiv | \section{Introduction}
Soit $\mathbbm{k}$ un corps, et $n \ge 2$.
On note $\Aut({\mathbbm{k}}^n)$ le groupe des automorphismes polynomiaux de l'espace affine de dimension $n$ sur $\mathbbm{k}$.
Un système de coordonnées $(x_1, \dots, x_n)$ étant fixé, un élément $g \in \Aut({\mathbbm{k}}^n)$ s'écrit
\[
g \colon (x_1, ... |
3,212,635,538,299 | arxiv | \section{Introduction}
The {\it induced representations} were introduced and studied for a {\it finite groups} by F.G. Frobenius.
Our aim is to develop the concept of {\it induced representations
for infinite-dimensional groups}.
The content of the article is as
follows. Section~\ref{s.ind-loc-comp} is devoted ... |
3,212,635,538,300 | arxiv |
\section{Introduction}
There has been increasing interest in studying optimization algorithms from a dynamical systems view-point as means to understand their stability \cite{holding2020stability_a,holding2020stability_b}, rate of convergence \cite{wibisono2016variational,francca2019gradient,mohammadi2020robustness},... |
3,212,635,538,301 | arxiv | \section{Objective}
Relativistic viscous hydrodynamic models have been successful in describing dynamics of the Quark Gluon Plasma within in the context of heavy-ion collisions. For these models, initial conditions that describe the brief far-from-equilibrium state immediately after the collisions are needed and heavi... |
3,212,635,538,302 | arxiv | \section{Introduction}
Time delays appear in a very natural way in any communication from one entity to another. In the context of dynamical systems, it is intrinsic to the transmission of the state through a communication channel. When the time delay is very small compared to the time scale of the processes invol... |
3,212,635,538,303 | arxiv | \section{Introduction}
\par In a Massive MIMO system we have links with a large number of antenna elements at the base station (BS), and a relatively small number at the user equipment (UE) due to size and power constraints. Recently, LTE Rel 13 proposed employing up to 64 antennas at the BS \cite{rel13} to increase n... |
3,212,635,538,304 | arxiv | \section{Introduction}
Let $A$ be a subset of the set $\mathbb{N}$ of positive integers. We begin by defining some notions of largeness that can be imposed on $A$.
\begin{itemize}
\item $A$ is an \textit{IP set} if it contains a \textit{finite sums set}, i.e., a set of the form \[\operatorname{FS}((a_n)_{n \in \mathbb... |
3,212,635,538,305 | arxiv | \section{Introduction}
The journal \textit{Monthly Notices of the Royal Astronomical Society} (MNRAS) encourages authors to prepare their papers using \LaTeX.
The style file \verb'mnras.cls' can be used to approximate the final appearance of the journal, and provides numerous features to simplify the preparation of pa... |
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