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2,869,038,155,528 | arxiv | \section{Introduction}
\input{Sections_gaming/1_Introduction/introduction}
\input{Sections_gaming/2_Background/background}
\input{Sections_gaming/3_Database/database}
\input{Sections_gaming/4_Study/study}
\input{Sections_gaming/5_data_process/data_process}
\input{Sections_gaming/6_performance/pe... |
2,869,038,155,529 | arxiv | \section{Introduction}
\label{sec:intro}
Since the classic paper by \cite{partridge_peebles67}, intense observational efforts have focused
on the search for Ly-$\alpha$ emitters at high redshifts.
Although most of the early attempts ended in negative results before the mid 1990s, recent observational advances enabl... |
2,869,038,155,530 | arxiv | \bigskip{\bigskip}
\def\medskip{\medskip}
\newcommand\al{\alpha}
\newcommand\Ga{\Gamma}
\newcommand\de{\delta}
\newcommand\ep{\epsilon} \newcommand\vep{\varepsilon}
\newcommand\ka{{\kappa}}
\newcommand\la{\lambda} \newcommand\La{\Lambda}
\newcommand\om{\omega} \newcommand\Om{\Omega} \newcommand\Omi{{\rm O}}
\n... |
2,869,038,155,531 | arxiv | \section{Introduction}
Many recent advances in deep neural networks have led to significant improvement in the quality of abstractive summarization \cite{radford2019language, gehrmann-etal-2019-generating, lewis2019bart}.
Despite this progress,
there are still many limitations facing neural text summarization \cite{kr... |
2,869,038,155,532 | arxiv |
\section{Introduction}
For many applications, for example artistic rendering and
sculpting, a few subdivision steps provide a pleasing rounding
of the original polyhedral shape.
The simplicity of subdivision with small, local stencils (refinement rules)
is appealing and, in particular Catmull-Clark subdivision
\ci... |
2,869,038,155,533 | arxiv | \section{Introduction}
Spin-based qubits, owing to their long coherence times and individual coherent manipulation, are promising candidates for building blocks
of quantum information processors.\cite{wuReview,buluta104401,loss120,hanson1217,zwanenburg961} A conventional
spin qubit can be simply realized via Zeeman spl... |
2,869,038,155,534 | arxiv | \section{Introduction}
Of the 151 nearby stars known to harbor one or more planets, 19 are
well-characterized multiple-planet systems, and an additional 24 show
radial
velocity (RV) residuals
indicative of additional companions \citep{Butler06}. For instance,
\citet{Vogt05} reported additional companions around five... |
2,869,038,155,535 | arxiv | \section{Introduction}
A recent renaissance of interest in pairing correlations in atomic
nuclei is linked to the search for
a reliable microscopic theory for describing the structure of medium
mass nuclei around the $N=Z$ line
where protons and neutrons occupy the same major shell and their
mutual interactions are exp... |
2,869,038,155,536 | arxiv | \section{Introduction}
For any punctured Riemann surface one can define an invariant, its wrapped Fukaya category (Abouzaid et al. \cite{abouzaid2013homological}) or
topological Fukaya category (Haiden-Katzarkov-Kontsevich in \cite{haiden2014flat} or Dyckerhoff-Kapranov \cite{dyckerhoff2013triangulated}).
As its sec... |
2,869,038,155,537 | arxiv | \section{Introduction}
Ultrasound elastography (USE) is a technique for detecting
alterations in mechanical properties of tissue using ultrasound imaging, which is a widely available modality and offers the additional advantage of being non-invasive and low cost.
As such, USE may help in early diagnosis and improves th... |
2,869,038,155,538 | arxiv | \section{Introduction}
\label{sec_1}
We are concerned with blowup solutions to the semilinear heat equation.
\begin{equation}\label{eq1.1}
\begin{cases}
u_t = \Delta u+|u|^{p-1}u-|u|^{q-1}u
&
\text{in } \R^n\times(0,T),\\
u|_{t=0}=u_0(x)
&
\text{on } \R^n.
\end{cases}
\end{equation}
The expone... |
2,869,038,155,539 | arxiv | \section{Introduction}
In this paper we extend the construction given in \cite{2} to the level of decorated representations of algebras with potentials realized via completed tensor algebras. Instead of working with a quiver, we consider the algebra of formal power series $\mathcal{F}_{S}(M)$ where $S=\displaystyle \p... |
2,869,038,155,540 | arxiv | \section{Generalities}
The RVS is a slitless spectrograph whose spectral domain is 847-874 nm and resolving power $R \sim 11500$.
The expected accuracy is 1 km s$^{-1}$ for F0 to K0 stars brighter than V$=13$, and for K1 to K4 stars brighter than V$=14$.
The main scientific objectives of RVS are the chemistry and ... |
2,869,038,155,541 | arxiv | \section{Introduction}
When molecules are adsorbed on metal surfaces, their electronic states are strongly perturbed by hybridization, charge transfer and screening \cite{Lu2004, Thygesen2009, Braun2009,Tautz2007}. These effects lead to a broadening and shifting of the molecular resonances \cite{Torrente2008}. Often t... |
2,869,038,155,542 | arxiv | \section{INTRODUCTION}
The microlensing signal of a planet is a short-duration perturbation on the smooth standard light curve of the primary-induced lensing event occurring on a background source star.
The planetary perturbation is induced by the central and planetary caustics, which are typically separated from each... |
2,869,038,155,543 | arxiv | \section{Proof of the First Zonklar Equation}
\ifCLASSOPTIONcaptionsoff
\newpage
\fi
\bibliographystyle{IEEEtran}
\section{Introduction}
\IEEEPARstart{R}{obots}, in particular mobile robots, are expected to perform complex and highly dynamic maneuvers in unknown environments~\cite{mobilerobotssurvey,Thrun... |
2,869,038,155,544 | arxiv | \section{Introduction}
It has long been recognized that the structure of social networks plays an
important role in the dynamics of disease propagation. Networks showing
the ``small-world'' effect~\cite{Kocken89,Watts99}, where the number of
``degrees of separation'' between any two members of a given population is
sm... |
2,869,038,155,545 | arxiv | \section{Introduction}
\label{sec:intro}
Object pose estimation in 6 degrees of freedom (DoF) plays a key role in a variety of down-stream applications (e.g., autonomous driving, robotic navigation, manipulation, and augmented reality),
and has been extensively studied in computer vision and robotics communities~\cite... |
2,869,038,155,546 | arxiv | \section{Introduction}
Throughout this paper, $M=\hy^n/\pi$ denotes a closed hyperbolic manifold with fundamental group $\pi$, and $N$ denotes an \emph{exotic smooth structure} (on $M$), i.e.\ a smooth manifold that is homeomorphic but not diffeomorphic to $M$. Define the \emph{symmetry constant} of $N$ as the supremu... |
2,869,038,155,547 | arxiv | \section{Introduction}
\section{Introduction}
The semileptonic $B\to D\ell\nu_\ell$ $(\ell=e,\mu, \tau)$ decays have attracted a lot of attention
in extracting the exclusive Cabibbo-Kobayashi-Maskawa (CKM) matrix element $|V_{cb}|$.
Especially, the substantial difference for the ratio
${\cal R}(D)={\rm Br}(B\to D\tau\n... |
2,869,038,155,548 | arxiv |
\section{Introduction}
The replicability of research findings is essential for the credibility of
science. However, the scientific world is experiencing a crisis
\citep{Begley2015} as the replicability rate of many fields appears to be
alarmingly low. As a result, large scale replication projects, where original
s... |
2,869,038,155,549 | arxiv | \section{Introduction}
Adverse drug events (ADEs) are ``injuries resulting from medical intervention related to a drug'' \citep{NebekerBS04}, and are distinct from medication errors (inappropriate prescription, dispensing, usage etc.) as they are caused by drugs at normal dosages. According to the National Center for H... |
2,869,038,155,550 | arxiv | \section{Introduction}
Massive neutrinos are our first and only undoubted evidence of physics
beyond the Standard Model (SM). The evidence arises from a variety of
neutrino experiments which have detected the effect of their mass via
the flavour oscillation of neutrinos with energies ranging between
tens of keV and ... |
2,869,038,155,551 | arxiv | \section{Introduction}
Equilibrium statistical physics has been extremely successful, while
accurate computation of physical averages in non-equilibrium systems
remains a great challenge both theoretically and practically, due to
the intrinsic difficulty of procuring the right statistical weight
of various states ... |
2,869,038,155,552 | arxiv | \section{Introduction}
\label{sec:intro}
Forecasting the motion of pedestrians in crowds is essential for autonomous systems like self-driving cars and social robots that will potentially co-exist with humans. To successfully predict how humans navigate in crowds, a forecasting model needs to tackle three crucial chal... |
2,869,038,155,553 | arxiv | \section{Convergence of \texttt{FedPVR}}
\label{sec:proof}
We first state the convergence theorem, then provide the proof for the convergence rate.
\begin{remark}
Proving convergence for a randomly picked iterate $\bar{\boldsymbol{x}}^R \in \{\boldsymbol{x}^r\}_{r=0}^{R}$ is equivalent to show the convergence of a (w... |
2,869,038,155,554 | arxiv | \section{Introduction}
Although the concept of pseudospin symmetry (PSS) in nuclear single-particle spectra has been introduced for more than 40 years, the origin of PSS and its breaking mechanism in realistic nuclei have not been fully understood. Basically, whether or not its nature is perturbative remains an open p... |
2,869,038,155,555 | arxiv | \section{Introduction}
Attendance is a mandatory part of every class in colleges. Often, there is a minimum attendance requirement for courses taken by students. The simplest methods of taking attendance include roll-call or manually signing on a document. These methods are tedious and waste time and do not take advant... |
2,869,038,155,556 | arxiv | \section{\@startsection {section}{1}{\z@}{-3.5ex plus -1ex minus
-.2ex}{2.3ex plus .2ex}{\large\bf}}
\def\subsection{\@startsection{subsection}{2}{\z@}{-3.25ex plus -1ex
minus -.2ex}{1.5ex plus .2ex}{\normalsize\bf}}
\def\@fnsymbol#1{\ensuremath{\ifcase#1\or *\or 1\or 2\or 3\or 4\or
5\or 6\or 7 \or 8\ ... |
2,869,038,155,557 | arxiv | \section{Introduction}
One of the most intriguing features in Bose-condensed systems is the coherence of the macroscopic quantum phase of the order parameter.
A Bose-Einstein condensate behaves as a quantum mechanical wave with a macroscopic quantum phase.
The macroscopic quantum phase difference of a condensate trapp... |
2,869,038,155,558 | arxiv |
\subsubsection{Odijk regime}
If both $D_{\rm H} \ll \ell_{\rm P}$ and $D_{\rm W} \ll \ell_{\rm P}$, then it is impossible for the polymer to turn around completely. Instead, the polymer must stay almost parallel to the channel axis, undulating slightly from side to side. In this regime the statistics of the extension ... |
2,869,038,155,559 | arxiv | \section{Introduction}
On July 4, 2012, the ATLAS and CMS collaborations at the CERN Large
Hadron Collider (LHC) announced the discovery of a new particle with
mass near $126$ GeV~\cite{Aad:2012tfa,Chatrchyan:2012ufa}. The
initial discovery and subsequent measurements indicate that this new
particle looks very much li... |
2,869,038,155,560 | arxiv | \section*{Acknowledgements}
We thank Edward Y. X. Ong, Eric M. Schwen and Stephen J. Thornton for valuable discussions, and Anton Paar for use of the MCR 702 rheometer through their VIP academic research program. For this work, IC, DL, IG, and MR were generously supported by NSF CBET award numbers: 2010118, 1804963, 1... |
2,869,038,155,561 | arxiv | \section{Introduction}
The determination of stellar parameters, especially overall metallicity (denoted here $[{{\rm M}\over {\rm H}}]$
unless otherwise indicated) and detailed
abundances of individual metals, in stars of remote
Galactic and extra-galactic structures has become crucial to the study of galaxy formatio... |
2,869,038,155,562 | arxiv | \section{Introduction}
In 2014, the International Diabetes Federation (IDF) \citep{b1} estimated 175 million undiagnosed cases of diabetes. This lack of diagnosis is compounded by the absence of statistics on diabetes-related deaths in many lower-and-middle-income countries (LMIC). The mortality data that is available ... |
2,869,038,155,563 | arxiv | \section{Introduction}
\label{section:introduction}
Quantum cohomology of rational homogeneous spaces $\mathrm{G}/\mathrm{P}$ is a rich subject
that received considerable attention in the last decades. A particular aspect
that has been studied is the generic semisimplicity of the quantum cohomology
and its connections... |
2,869,038,155,564 | arxiv | \section{Methods Summary}
\subsection{Device design and fabrication}
Devices were designed similarly to those in previous work\cite{mehta2017precise}. The grating designs exploit the reflection from the silicon substrate below to increase grating strength; a compromise between grating length and efficiency resulted in... |
2,869,038,155,565 | arxiv | \section{Introduction}\label{sec:introduction}
Conversational agents, fueled by language understanding advancements enabled by large contextualized language models, are drawing considerable attention~\cite{anand2020conversational,zamani2022conversational}. Multi-turn conversations commence with a main topic and evolv... |
2,869,038,155,566 | arxiv | \section*{Results}
\vspace{-0.3cm}
\textbf{Cavity with several mechanical modes} The general Hamiltonian for $N$ mechanical resonators with frequencies $\omega_j$, individually coupled to a common cavity mode, written in a frame rotating with the pump, becomes
\begin{align}
\label{eq:h2}
H = - \hbar \Delta a^\dag a + \... |
2,869,038,155,567 | arxiv | \section{Introduction}
In this paper, we consider the problem of finding a barycenter of discrete random probability measures generated by a distribution. We refer to
optimal transport (OT) metrics which provides a successful framework to compare objects that can be modeled as probability measures (images, video... |
2,869,038,155,568 | arxiv | \section{Introduction}
Quantum computers are expected to offer speedups over classical computers in solving various computational tasks.
The recent demonstration of quantum computational advantage by Google researchers \cite{arute2019quantum} further strengthened the case for the practical potential of quantum comput... |
2,869,038,155,569 | arxiv | \section{Introduction}\label{sec:intro}
The weak equivalence principle (WEP) is a fundamental postulate of general relativity as well as of
many other metric theories of gravity. One statement of the WEP is that the trajectory of any freely
falling, uncharged test body does not depend on its internal structure and com... |
2,869,038,155,570 | arxiv | \section{Proof of Proposition 1}\label{app:relay_in_num_ant}
If TX $i$ transmits $S_i\leq M$ data streams, then $M-S_i$ columns
of $\bP_i$ are zeros. For example, in a system with 4 subcarriers where TX $i$ transmits 2 data streams spread over 3 subcarriers,
$\bP_i$ has the following form,
\begin{equation}
\bP_i= \le... |
2,869,038,155,571 | arxiv | \section{Introduction and Statement of Main Results}
In 1985, Bloom \cite{Bloom} proved a two-weight version of the celebrated commutator theorem of Coifman, Rochberg and Weiss \cite{CRW}.
Specifically, \cite{Bloom} characterized the two-weight norm of the commutator $[b, H]$ with the Hilbert transform in terms of the... |
2,869,038,155,572 | arxiv | \section{Introduction}
Composite materials now make up more than 50\% of a modern aircraft
design by weight~\cite{krauklis2020composite}. This is due to higher specific strength
and better fatigue properties for high
tension components than conventional aluminium alternatives. Composite materials also have lower elec... |
2,869,038,155,573 | arxiv |
\section{Employment Records as a Resource for Record-linkage in Organizational Social
As large datasets on individual political behavior have become more common, scholars have focused increasing attention on the methodological problem of linking records from different sources \citep{Enamorado2019,Herzog2010,Larsen2... |
2,869,038,155,574 | arxiv |
\section{\label{EOM}Equations of motion and their link to the 1D Dirac Equation}
Consider a periodic array having two resonators per unit cell [Fig.~\ref{s1}(a)]. We define the displacement of each resonator $x_n(t)$ where $n$ represents the resonator index. From here, we can describe our system using the coupled-mod... |
2,869,038,155,575 | arxiv | \section{prime modular numbers}
\begin{definition}
Let $n \in N$ and $p_i, i=1..n$ the first n prime numbers.\newline
The \textbf{prime modular numbers of level n} are tuples of length n defined by
\begin{center}
$PM(n) := \{\colvec{6}{t_1 \mod 2}{t_2 \mod 3}{t_3 \mod 5}{t_4 \mod 7}{...}{t_n \mod p_n}| t_i \i... |
2,869,038,155,576 | arxiv | \section{Introduction}
\label{sec:intro}
Quantum information processing and quantum optics with superconducting circuits have been experimentally realized in the past two decades~\cite{Blais04, Wallraff04, Koch07, Gu17, Krantz19, Arute19}. The semi-one-dimensional architecture of circuit quantum electrodynamics (QED) s... |
2,869,038,155,577 | arxiv | \section{Experiments}\label{sec:experiments}
\iffalse
\begin{table}[!t]
\renewcommand{\arraystretch}{1.3}
\centering%
\caption{Comparing results}
\begin{tabular}{cc|c|c|c}
Model & Mode & 1h & 2h & 3h\\
\hline
Linear ? & U & 1,509 & 3,995 & 7,121 \\
MLP ? & U & 0,89... |
2,869,038,155,578 | arxiv | \section{Introduction}
A Hermitian connection on a Hermitian manifold $(M,J,g)$ is a connection which leaves both $J$ and $g$ parallel. Each Hermitian manifold admits plenty of these connections. Among them, there is only one whose torsion is totally skew-symmetric. This unique connection is called the Bismut connecti... |
2,869,038,155,579 | arxiv | \section{The phonon of pyrite chromium dioxide at the ambient pressure}
The pyrite CrO$_2$ phase has been demonstrated to be stable ferromagnetic (FM) half-metallic state occurring at critical pressure of $\sim$45 GPa \cite{Li2012}. Here, we use the phonon spectrum, which is one useful way to investigate the stability ... |
2,869,038,155,580 | arxiv | \section{Introduction}
The coalescence of black hole (BH)-neutron star (NS) binaries is one
of the most promising sources for kilometer-size laserinterferometric
gravitational-wave detectors such as LIGO \cite{LIGO} and VIRGO
\cite{VIRGO}. A statistical study based on the stellar evolution
synthesis suggests that the... |
2,869,038,155,581 | arxiv | \section{Interference in compensation}
\label{sec1}
Additive manufacturing, or 3D printing, refers to a class of technology
for the direct fabrication of physical products from 3D Computer-Aided
Design (CAD) models. In contrast to material removal processes in
traditional machining, the printing process adds mat... |
2,869,038,155,582 | arxiv | \section*{\centering REFERENCES}\list
{\arabic{enumi}.}{\settowidth\labelwidth{#1.}\leftmargin\labelwidth
\advance\leftmargin\labelsep
\usecounter{enumi}}}
\def\hskip .11em plus .33em minus .07em{\hskip .11em plus .33em minus .07em}
\sloppy\clubpenalty4000\widowpenalty4000
\sfcode`\.=1000\relax
\let\endThebibliogr... |
2,869,038,155,583 | arxiv | \section{Introduction}
\label{sec.int}
The KKM theorem of Knaster, Kuratowski, and Mazurkiewicz~\cite{KKM} is a set covering variant of Brouwer's fixed point theorem.
It states that for any covering of the $k$-simplex $\Delta_k$ on vertex set $[k+1]$ with closed sets $A_1, \dots, A_{k+1}$ such that
the face spanned by... |
2,869,038,155,584 | arxiv | \section{Introduction}
The continued need for increasing the information storage content of high density magnetic recording devices requires the development of new nanostructured magnetic materials such as chains, one-dimensional (1D) periodic linear arrangements of atoms. Most of the experimental methods and potentia... |
2,869,038,155,585 | arxiv | \section{Motivation for a sub-GeV dark sector}
Hidden sectors are frequently proposed as part of the physics
beyond the standard model. Since their interactions with the
visible sectors are very weak, so are the current experimental
bounds. In fact, motivated both from a bottom-up and a top-down
perspective, those sec... |
2,869,038,155,586 | arxiv | \section{Introduction}
Let $X$ be an irreducible normal projective variety, defined over an algebraically closed field.
Fix a very ample line bundle on $X$ to define (semi)stable sheaves. Here (semi)stability would always
refer to $\mu$-(semi)stability.
Let $E$ be a reflexive semistable sheaf on $X$. Then $E$ admits ... |
2,869,038,155,587 | arxiv | \section{Introduction}
The spin $S=1/2$ antiferromagnetic (AFM) Heisenberg model is the natural starting point for describing the magnetic properties of many electronic
insulators with localized spins \cite{Anderson52}. The two-dimensional (2D) square-lattice variant of the model came to particular prominence due to i... |
2,869,038,155,588 | arxiv | \section{Introduction}\label{s:introduction}
Researchers---especially social scientists---often find themselves estimating causal effects in complex, dynamic settings. For example, when studying the effects of political campaign strategies, researchers must confront how candidates change their messaging and behavior... |
2,869,038,155,589 | arxiv | \section{Introduction} \label{se:introduction}
{\em Simultaneous embedding} is a flourishing area of research studying
topological and geometric properties of planar drawings of multiple graphs on
the same point set. The seminal paper in the area is the one of Bra{\ss} {\em et
al.}~\cite{bcd-spge-07}, in which two typ... |
2,869,038,155,590 | arxiv | \section{Introduction}
Recent years have witnessed a great success of supervised learning in various pattern recognition problems, such as image classification, object detection, and speech recognition. Standard supervised learning relies heavily on the {\it i.i.d.} data assumption; however, dataset-bias is unavoidable... |
2,869,038,155,591 | arxiv |
\section*{Introduction}
\label{sec:introduction}
We are concerned with the development and rigorous analysis of novel efficient model order reduction methods for parameter optimization constrained by coercive variational state equations using the {\em first optimize, then discretize} approach.
The methods are bas... |
2,869,038,155,592 | arxiv | \section{Introduction\label{intro}}
This paper is a continuation of our previous work~\cite{Ronniger} on the
description of baryon resonances in a covariant Bethe-Salpeter framework.
While in~\cite{Ronniger} we concentrated on the description of the mass
spectrum in the present paper we discuss the results on ele... |
2,869,038,155,593 | arxiv | \section{Introduction}
Realization theory of stochastic LTI state-space
representations with exogenous inputs is a mature
theory \cite{LindquistBook,Katayama:05}. In particular,
there is a constructive theory for constructing a
minimal stochastic LTI state-space representation of
a process $\mathbf{y}$ with ... |
2,869,038,155,594 | arxiv | \section{Introduction}
Reinforcement learning (RL) is a computational approach to automate goal-directed learning of a policy by maximizing cumulative reward in an environment \citep{sutton2018reinforcement}. In combination with Artificial Neural Networks as function approximators, RL can deal with high dimensional s... |
2,869,038,155,595 | arxiv | \section{Introduction}
\label{sec:introduction}
\IEEEPARstart{W}{ireless} communication technologies in fifth-generation (5G) mobile networks provide multigigabit-per-second data rates, which fulfill the backhaul rate requirements \cite{niu2015survey, rangan2014millimeter}.
A key technology of 5G systems is millimeter-... |
2,869,038,155,596 | arxiv | \section{Introduction}
The main aim of this work is to achieve better understanding of large
annihilation rates observed for many polyatomic
molecules \cite{Paul:63,Heyland:82,Surko:88,Iwata:95}. In particular, we
use an exactly solvable model to verify the prediction
\cite{Gribakin:00,Gribakin:01} that positron capt... |
2,869,038,155,597 | arxiv | \section{Motivation and main results}
The celebrated theorem of Charles Fefferman from \cite{FeffBall} shows that the ball multiplier is an unbounded operator on $L^p(\mathbb{R}^n)$ for all $p\neq 2$ whenever $n\geq 2$. A well-known argument originally due to Yves Meyer, \cite{DeGuzman}, exhibits the intimate relat... |
2,869,038,155,598 | arxiv | \section{INTRODUCTION }
Thermoelectrical (TE) materials, which can directly convert heat to electricity, have been extensively studied
for last several decades since they play an important role in the area of environmentally
friendly energy technology.~\cite{Snyder_NM, Zebarjadi_EES}
The conversion efficiency of TE m... |
2,869,038,155,599 | arxiv | \section{ParkPredict+}
\label{sec:approach}
Our model has two main components: 1) a Convolutional Neural Network (CNN) model to predict vehicle intent based on local contextual information, and 2) a CNN-Transformer model to predict future trajectory based on the trajectory history, image history, and the predicted int... |
2,869,038,155,600 | arxiv | \chapter*{Acronyms and Abbreviations}
\markboth{Acronyms and Abbreviations}{Acronyms and Abbreviations}
\addcontentsline{toc}{chapter}{\protect\numberline{\ }Acronyms and Abbreviations}}
\def\acro#1#2{\vskip4pt\hbox to\textwidth{\normalsize
\hbox to5pc{#1\hfill}\vtop{\advance\hsize by
-5pc\raggedright\noindent#2}}}
\... |
2,869,038,155,601 | arxiv | \section{Introduction}
The search for universal correlations between physical variables,
such as transition temperature, magnetic field penetration depth,
electrical conductivity, energy gap, Fermi energy {\it etc.} may
provide hints towards a unique classification of different
superconductors. In particular, establis... |
2,869,038,155,602 | arxiv | \chapter{Results and Preliminaries}
\section{Introduction}
\subsection{Background}
L\'evy matrices are symmetric random matrices whose entry distributions lie in the domain of attraction of an $\alpha$-stable law; for $\alpha<2$, their entries have infinite variance.
They were introduced by Bouchaud and Cizeau in 1... |
2,869,038,155,603 | arxiv | \section{Introduction} \label{Intro}
An integral quadratic form is a homogeneous polynomial $q$ of degree two with integer coefficients, given usually as $q(x)=x^{\tr}\widecheck{G}_qx$ for a unique upper triangular matrix $\widecheck{G}_q$. In case $\widecheck{G}_q$ has only $1$'s as diagonal entries, $q$ is simply ... |
2,869,038,155,604 | arxiv | \section{introduction}
Atomically abrupt (``digital'') interfaces (IFs) between oxides
with strongly differing electronic properties
(superconducting-ferromagnetic; ferroelectric-ferromagnetic) have
attracted interest\cite{ivan,ijiri}
due to the new behavior that may arise, and for
likely device applications.
Hwa... |
2,869,038,155,605 | arxiv | \section{Introduction}
Charge exchange processes during atom-surface or molecule-surface collisions have been the subject
of intense scientific research during the last decades~\cite{Winter2007,Rabalais1994}. This type
of surface reactions is of fundamental interest. It represents a quantum-impurity problem where a ... |
2,869,038,155,606 | arxiv | \section{Introduction}
Quantum gauge theories can be described using the holonomies along the
edges of a regular lattice as basic configuration observables.
This idea was introduced by Wilson \cite{wilson} in the '70s and is now
the basis of the modern lattice gauge theory.
In diffeomorphism invariant gauge theor... |
2,869,038,155,607 | arxiv | \section{INTRODUCTION}
Recently, utilizing molecules to build electronic devices at the single-molecule level has been paid much attention, and it is considered to be a promising area for future nanoelectronics.\cite{thiele2014electrically,schedin2007detection,nozaki2010engineering,joachim1997electromechanical,selzer20... |
2,869,038,155,608 | arxiv | \section{Introduction}
\label{sec:intro}
In 1961, Vickrey \cite{V61}, a Nobel laureate in Economics,
initiated auction theory. At the center of his work was the solution concept of Nash equilibrium \cite{N50} for auctions as non-cooperative games. This game-theoretical approach has shaped modern auction theory and h... |
2,869,038,155,609 | arxiv | \section{Introduction}
\subsection*{Overview}
In this paper we study deformation spaces of marked metric graphs of groups.
Since its first appearance on the scene (\cite{cv}), the celebrated Culler-Vogtmann Outer Space
became a classical subject of research. It turned out to be a very useful tool for
understanding pr... |
2,869,038,155,610 | arxiv | \section{Introduction}
\label{intro}
The purpose of this paper is to compare the field of
local times of a discrete-time
Markov process with the corresponding field of i.i.d.\
random variables distributed
according to the stationary measure of this process,
in total variation distance.
We mention that local times (... |
2,869,038,155,611 | arxiv | \section{Introduction}\label{sec:intro}
An \emph{ordinary line} of a set of points in the plane is a line passing through exactly two points of the set.
The classical Sylvester--Gallai theorem states that every finite non-collinear point set in the plane spans at least one ordinary line.
In fact, for sufficiently larg... |
2,869,038,155,612 | arxiv | \section{\label{sec:level1}Introduction}
Thermal phase transitions in classical systems connected to a heath bath, as well as quantum phase transitions in closed quantum systems, are well-understood \cite{KersonHuang_2014,sachdev}. Very recently, a strong interest has emerged in the critical behavior of open quantum ... |
2,869,038,155,613 | arxiv | \section{Introduction}
Let $\Sigma_k$ denote the alphabet $\{0,1,\ldots, k-1\}$. Let $u$ and $v$ be two words of equal length. The \emph{Hamming distance} $\ham(u,v)$ between $u$ and $v$ is defined to be the number of positions where $u$ and $v$ differ~\cite{Hamming:1950}. For example, $\ham({\tt four}, {\tt five}) = 3... |
2,869,038,155,614 | arxiv | \section{Introduction}
\label{sec-intro}
\vspace{-0.1in}
{\em Clustering} is one of the most fundamental problems in data analysis~\cite{jain2010data}. Given a set of elements, the goal of clustering is to partition the set into several groups based on their similarities or dissimilarities.
Several clustering models ha... |
2,869,038,155,615 | arxiv | \section*{\refname}}
\usepackage{graphicx}
\usepackage{epstopdf}
\newcommand{\caphead}[1]{{\bf #1}}
\newcommand{\figco}{}
\renewcommand{\thesection}{\Roman{section}}
\renewcommand{\thesubsection}{\Roman{section} \Alph{subsection}}
\renewcommand{\thesubsubsection}{\Roman{section} \Alph{subsection} \arabic{subsubsecti... |
2,869,038,155,616 | arxiv | \section{Introduction}
By the doubly-punctured plane we refer to the compact surface
with boundary (familiarly known as the ``pair of pants'')
obtained by removing, from a closed two-dimensional disc,
two disjoint open discs.
This work extends to that surface
the research
reported in \cite{torus} for the punctured to... |
2,869,038,155,617 | arxiv | \section{Introduction}
A social network is an interconnected structure of a group of agents formed for social interactions \cite{liu2011social}. Nowadays, social networks play an important role in spreading information, opinion, ideas, innovation, rumors etc. \cite{centola2010spread} \cite{nekovee2007theory}. This spr... |
2,869,038,155,618 | arxiv | \section{Introduction}
Surface plasmon polaritons (SPPs) are electromagnetic waves that travel along the interface of a metal and a dielectric. They are bound to the interface due to the mixing of the electromagnetic field oscillation with the oscillation of free electrons in the metal\cite{maier:plasmonics}. Their u... |
2,869,038,155,619 | arxiv | \section{INTRODUCTION}
Automated driving can bring significant benefits to human society. It can ameliorate accidents on the road, provide mobility to persons with reduced capacities, automate delivery services, help the elderly to safely move between places, among many others.
Deep Learning has been applied successfu... |
2,869,038,155,620 | arxiv | \section{Introduction}
Radio jets ejected from radio loud active galactic nuclei (AGNs)
sometimes show proper motion with apparent velocity exceeding the
speed of light $c$ (\cite{pearson81,hughes91}).
The widely-accepted explanation for
this phenomenon, called superluminal motion, is relativisti... |
2,869,038,155,621 | arxiv | \section*{}
Engineering applications on complex geometries often involve polyhedral meshes with various element shapes. Our goal is to analyze a class of discretization schemes on such meshes for the model elliptic problem
\eq{ \label{eq:PDE}
- \divm(\tensor{\CondTh} \, \grd p) = s,
}
posed on a bounded polyhedral dom... |
2,869,038,155,622 | arxiv | \section{Introduction}
Solar Cycle 24 was predicted to begin in 2008 March ($\pm$ 6 months), and peak in late 2011 or mid-2012,
with a cycle length of 11.75 years. So, the recent paucity of sunspots and the delay in the expected
start of Solar Cycle 24 were unexpected, even though it is well known that solar cycles... |
2,869,038,155,623 | arxiv | \section{Introduction}
Differential K-theory is an enhanced version of topological K-theory constructed
by incorporating connections and differential forms. It was developed in order to
refine the families of Atiyah-Singer
index theorem and also to classify the Ramond-Ramond field strengths in string theory
\cite{bun}... |
2,869,038,155,624 | arxiv | \section{Best Hyperparameters}\label{a:best_hyp}
\label{sec:hyperparams}
See Table~\ref{best_hyperparams} for the best hyperparameters for each model.
\begin{table}
\centering
\begin{tabular}{lccc}
\hline
\textbf{Model} & \textbf{epochs} & \textbf{batch size} & \textbf{learn. rate}\\
\hline
WG-SR & 5 & 16 & 1e-5 \\
B... |
2,869,038,155,625 | arxiv | \section{Introduction}
The uncertainty principle is originally a quantum physics principle stating
that some families of observable quantities cannot be measured simultaneously
with infinite precision. The uncertainty principle can be turned into
quantitative statements thanks to uncertainty inequalities, which provide... |
2,869,038,155,626 | arxiv | \section{Introduction}
\label{sec:intro}
Competences
have grown in popularity in the western educational world \cite{gordonKeyCompetencesEurope2009,lurieDeconstructingCompetencybasedEducation2017,nunezcortesModeloCompetencialCompetencia2016}, and so the interest on developing computational models for competences th... |
2,869,038,155,627 | arxiv | \section{introduction}
Recently, intelligent reflecting surface (IRS) has been proposed as a promising candidate technology for the sixth-generation (6G) wireless system, due to its capability of realizing programmable propagation environment with low power consumption and hardware cost. Specifically, the IRS is a two-... |
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