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2,869,038,155,928 | arxiv | \section{Introduction}
In response to the demand for reducing pollution, Electric vehicles (EVs) are becoming increasingly common throughout the world. In general, EVs use Li-ion batteries with a variety of advantages over other batteries as energy storage devices.\unskip~\cite{Cite1} At this time, a battery management... |
2,869,038,155,929 | arxiv |
\section{Detailed description of the CIANNA framework}
\label{cianna_app}
\clearpage
\null
\thispagestyle{empty}
\newpage
\thispagestyle{empty}
\etocsetnexttocdepth{4}
\etocsettocstyle{\subsection*{Detailed description of the CIANNA framework}}{}
\localtableofcontents{}
\clearpage
\section*{Detailed description o... |
2,869,038,155,930 | arxiv | \section{Introduction}
\label{sec:introduction}
It is an important task to compute (Landau or Coulomb) gauge
gluon, ghost, fermion propagators and the basic vertex functions
from non-perturbative approaches to $SU(N)$ gauge theories, like
Dyson-Schwinger equations or the lattice formulation. On one hand one
is interest... |
2,869,038,155,931 | arxiv | \section{Introduction}
This article, which is continuation of our earlier work \cite{Grohs2013}, studies off-diagonal decay properties
of Moore-Penrose pseudoinverses $A^+$ of symmetric (bi-infinite) matrices
$A=(A_{\lambda,\lambda'})_{\lambda,\lambda'\in\Lambda}$,
with $\Lambda$ a discrete index set.
More precisely, o... |
2,869,038,155,932 | arxiv | \section{Introduction}
The study of correlation functions of integrable quantum spin chains has a very
long history \cite{BOOK-KBI,BOOK-JM}. There exist many results for the case of the
$SU(2)$ spin-$1/2$ chain
\cite{TAKA,JMMN92,JM96,KMT00,GAS05,BOKO01,BOOS05,BOOS2,BGKS06,DGHK07,KKMST09,AuKl12} and
its higher-sp... |
2,869,038,155,933 | arxiv | \section{Introduction}
The canonical thermodynamic model (CTM) as applied to the nuclear
multifragmentation problem addresses the following scenario.
Assume that because of collisions we have a finite piece of
nuclear matter which is heated and begins to expand.
During the expansion the nucleus will break up
into many... |
2,869,038,155,934 | arxiv |
\subsection{Fixed-Rate Coding}
\label{frc}
For fixed-rate coding, the per-user rate is defined as
\begin{equation}
R_N\triangleq \frac{K}{N}~\mathbb{P}\left(\mathrm{SIR}>2^{K/N}-1\mid \Phi\right). \label{FRC_CP}
\end{equation}
The CCDF of the rate $R_N$ is given by
\begin{equation}\label{Frc_rn}
\mathbb{P}(R_N>r)=\fra... |
2,869,038,155,935 | arxiv | \section{Introduction}
\label{sect1}
The study of polarized deep inelastic scattering off polarized targets
has revealed a rich structure of phenomena during the last
years~\cite{REV}. So far mainly the case of deep inelastic photon
scattering has been studied experimentally. A future polarized proton
option at RHIC an... |
2,869,038,155,936 | arxiv | \section{Introduction}
Semiconductor mesoscopic systems have been extensively studied since the establishment of microfabrication techniques~\cite{DattaETMS,ImryIMP,IhnEQTMSS} in the 1980s. These systems allow us to artificially realize and control various quantum phenomena of electron charge and spin. In this review, ... |
2,869,038,155,937 | arxiv | \section{Introduction}
The well known Bohr-van Leeuwen Theorem (BvL) \cite{lee21,boh11,vle32,pei79,jay81,sah08,jay07,jay08} forbids the presence of orbital diamagnetism in classical equilibrium systems. The essential point of the proof of this theorem is that the magnetic field ${\bf B}$ enters the particle Hamiltonia... |
2,869,038,155,938 | arxiv |
\subsection{Pre-processing of Data}
The data set contained over 1300 multiple choice question answer pairs (including their explanation), level of difficulty and overall quality score given by the students. As our data set of questions was in a .txt format, it was necessary to import it into a suitable format in orde... |
2,869,038,155,939 | arxiv | \section{Introduction}
A pseudoprime is a composite number that satisfies some necessary condition for primality.
Since primes are necessary building blocks for so many algorithms, and since the most common way
to find primes in practice is to apply primality testing algorithms based on such necessary conditions,
it... |
2,869,038,155,940 | arxiv | \section{Introduction}%
\label{Sec:Intro} %
Assessing geometric and electronic structures of molecules via different scattering techniques using x-rays, ultrafast electrons and high harmonic generations (HHG) is a hot topic of current research in molecular physics since they provide a gateway to image chemical rea... |
2,869,038,155,941 | arxiv | \section{Introduction}
A significant amount of network traffic \cite{games3, camera1} is originated nowadays by the new multimedia services over the Internet (e.g. videoconferencing, video surveillance, VoIP, online games and P2P-TV) and a large increase in the number of users can be observed. Moreover, the expectatio... |
2,869,038,155,942 | arxiv | \section{Introduction}
The domain shift problem is drawing increasing attention in recent years \cite{Hoffman_cycada2017, zhu2017unpaired, Tsai_adaptseg_2018, sankaranarayanan2017unsupervised, ghifary2015domain, StarGAN2018}. In particular, there are two tasks that are of interest in computer vision community. One is t... |
2,869,038,155,943 | arxiv | \section*{Introduction}
\label{sec:intro}
\begin{figure}[b]
\centering
\includegraphics[width=0.475\textwidth]{image-noid3-h3.pdf}
\includegraphics[width=0.475\textwidth]{image-noid5-h3.pdf}
\caption{\small
Cutaway views of equilateral minimal noids in $\mathrm{H}^3\cup\mathrm{S}^2\cup\mathrm{H}^3$
wit... |
2,869,038,155,944 | arxiv | \section*{Acknowledgments}
This work was supported by the Natural Sciences and Engineering
Research
Council of Canada.
\newcommand{\PR}{Phys. Rev.}
\newcommand{\PRL}{Phys. Rev. Lett.}
\newcommand{\CQG}{Class. Quantum Grav.}
\newcommand{\CMP}{Commun. Math. Phys.}
\newcommand{\NP}{Nucl. Phys.} ... |
2,869,038,155,945 | arxiv | \section{Introduction}
Spatial random fields (SRF's) have applications in
hydrology \cite{kitan,rubin}, oil reservoir engineering
\cite{hohn},
environmental pollutant mapping
and risk assessment \cite{christ}, mining exploration and reserves estimation
\cite{goov}, as well as
environmental health studies \cite{ch98... |
2,869,038,155,946 | arxiv | \section{\label{sec:introduction}Introduction}
In-situ characterization of detailed 3D views of defects and interfaces and their evolution at the mesoscale (few nm - hundreds of $\mu$m) are required to develop microstructure-aware physics-based models and to design advanced materials with tailored properties \cite{ref:... |
2,869,038,155,947 | arxiv | \section{Introduction} \label{sec:intro}
\begin{figure*}
\centering
\includegraphics[width=175mm]{fig1-heat-white-cont.pdf}
\caption{Top panel: velocity integrated intensity maps in the range of -25 to 30~km~s$^{-1}$, from left to right: of \hbox{{\rm [C {\scriptsize II}]}}\ $^2$P$_{3/2}$ $\to$ $^2$P$_{1/2}$ fine-st... |
2,869,038,155,948 | arxiv | \section{Introduction}
\label{sec:intro}
The rich excitation spectrum of the nucleon mirrors
its complicated multi--quark inner dynamics.
Therefore baryon spectroscopy is expected to provide
benchmark data for any model of the nucleon,
e.g. quark models in their variety \cite{CR00,Loering01} or,
increasingly in t... |
2,869,038,155,949 | arxiv | \section{Introduction}
The observed fermion masses and mixing angles are well parametrized by
the Higgs Yukawa couplings in the Standard Model (SM). However, the
neutrino masses and mixing angles call for the addition of
right-handed (RH) neutrinos or physics beyond the SM and, moreover, the flavor
structures of quar... |
2,869,038,155,950 | arxiv | \section{Hindman's theorem}
Hindman's theorem is the following statement. As the name suggest it was established by Neil Hindman, see \cite{nH74}.
\begin{theorem}[Hindman's theorem, \lp{HT}]
If the natural numbers are colored with finitely many colors then there is an infinite set $S\subseteq \Nat$ such that the no... |
2,869,038,155,951 | arxiv | \@ifstar{\@ssection}{\@section}{Introduction}
In a series of recent papers, Navarro, Frenk \& White (1995, 1996,
1997, hereafter NFW) have claimed that dark halos formed by dissipationless
hierarchical clustering {}from gaussian initial conditions can
be fitted by a universal density profile of the form
$$\rho(r)=\d... |
2,869,038,155,952 | arxiv | \section{Introduction}
Let $C$ be a smooth projective curve of genus $g \geq 2$ over an algebraically closed field $k$.
For simplicity we assume the characteristic of $k$ to be 0, although some of the results are valid in greater generality.
To every \'etale double covering $f: \tilde{C} \rightarrow C$ one can associ... |
2,869,038,155,953 | arxiv | \section{Introduction and review of previous analyses}
Charged-current (CC) deep-inelastic scattering (DIS) of neutrinos off nuclei has long been recognized to have a significant impact on global analyses of proton~\cite{Hou:2019efy,Accardi:2016qay,Bailey:2020ooq,Abramowicz:2015mha,Ball:2017nwa,Alekhin:2017kpj} and nuc... |
2,869,038,155,954 | arxiv | \section{Introduction}
Studies of elastic scattering of high energy protons lead to several unexpected
results reviewed, e.g., in Refs \cite{ijmp, ufn17}. Among them, the increase of
the share of elastic scattering with the energy increase by a factor about 1.5
from ISR-energies to LHC is the most surprising and ye... |
2,869,038,155,955 | arxiv | \section{Introduction}
The income fluctuation problem refers to the broad class of decision problems that characterize the optimal consumption-saving behavior for agents facing stochastic income streams. In most cases, agents are subject to idiosyncratic shocks and borrowing constraints. Markets are incomplete so idio... |
2,869,038,155,956 | arxiv | \section*{\refname}
\makeatother
\begin{abstract}
The political discourse in Western European countries such as Germany has recently seen a resurgence of the topic of refugees, fueled by an influx of refugees from various Middle Eastern and African countries.
Even though the topic of refugees evidently plays a la... |
2,869,038,155,957 | arxiv | \section{Introduction}
Quantum chromodynamics (QCD), the fundamental theory of strong
interactions, can be perturbatively solved only in the region of
asymptotic freedom, i.e., for large momenta of quarks and gluons
\cite{Pol}. At low momenta, quarks and gluons interact strongly and are
confined inside hadrons. In this... |
2,869,038,155,958 | arxiv | \section{Introduction}\label{introduction}}
Given a pointset \(\Lambda_N := \{ X_1, \ldots, X_N \} \subset \mathbb{R}^{D}\) that is assumed to lie on a submanifold \(\Lambda \supset \Lambda_N\), a natural inverse problem asks to approximate the \emph{intrinsic} geometry of \(\Lambda\), using only this data. Implicitly... |
2,869,038,155,959 | arxiv | \section{Introduction}
The quality of images of scenes in our daily life is greatly affected by the particles suspended in the environment, such as due to dust, smoke, mist, fog, smog, etc. Bad weather also contributes to this. Beside significantly higher and non-uniform noise in the images, the usual effects are redu... |
2,869,038,155,960 | arxiv | \@startsection{section}{1}{\z@{Method}
A very active subfield in high energy physics recently is the study
of hadrons with heavy-light quark content \cite{Neubert}.
A major effort has been spent
in calculating the Isgur-Wise function, which, once
it is determined, can be
widely used in calculations of heavy meson decay... |
2,869,038,155,961 | arxiv | \section{INTRODUCTION}
Main problem of the mathematical statistics and simulation is connected with
insufficiency of primary statistical data. In this situation, the Bootstrap
method can be used successfully (Efron, Tibshirani 1993,
Davison, Hinkley 1997). If a dependence between characteristics
of interest and i... |
2,869,038,155,962 | arxiv | \section{Introduction}
\IEEEPARstart{T}{he} promise of {network} Slicing is to enable a high level of customization of network services in future networks (5G and beyond) leveraged by virtualization and software defined networking techniques. These key enablers transform telecommunications networks into programmable... |
2,869,038,155,963 | arxiv | \section{Introduction}
\label{sec:intro}
In \cite{huttner2018portfolio}, we can read:
\begin{quote}
``To the best of our knowledge, there is no algorithm available for the generation of reasonably random
[financial] correlation matrices with the Perron-Frobenius property.
[...]
Concerning the generation of [financi... |
2,869,038,155,964 | arxiv | \section{Introduction}
The electronic properties of graphene can be tailored in a suitable way through
the deposition of foreign atoms, allowing not only the development of
electronic devices but also providing platforms for new physical phenomena~\cite{CastroNeto20091094,
PhysRevB.82.033414, PhysRevB.81.115427}.... |
2,869,038,155,965 | arxiv | \section{Introduction}
The emerging concept of Volunteer Computing~\cite{935629, volunteercomputing}
has proved its very large capacity for high performance computing in a series
of highly successful projects, namely SETI@Home~\cite{setiathome},
Folding@Home~\cite{larson-2003} and etc. For example, in SETI@Home, more t... |
2,869,038,155,966 | arxiv | \section{Introduction}
High temperature superconductivity always attracts scientists working in different fields of physics and material science due to its extensive applications and extraordinary properties. A fundamental question of this topic is how to understand the origin of high temperature superconductivity~\ci... |
2,869,038,155,967 | arxiv | \section{Introduction}
It is believed that parity odd domains with chiral imbalance are produced in finite
temperature quark-gluon plasma (QGP). Their presence can be
detected via axial anomaly as chiral magnetic effect (CME) \cite{Kharzeev:2007jp,Kharzeev:2007tn,Kharzeev:2004ey,Fukushima:2008xe}
and chiral magne... |
2,869,038,155,968 | arxiv | \section{Introduction}
A fundamental question in differential geometry is to determine which transitive Lie group actions exist on a manifold. Sophus Lie considered this to be an important problem, in particular due to its applications in the symmetry theory of PDEs.
In \cite{Lie1880} (see also \cite{Transformationsgr... |
2,869,038,155,969 | arxiv |
\section{Introduction}
\begin{comment}
\IEEEPARstart{T}{his} demo file is intended to serve as a ``starter file''
for IEEE journal papers produced under \LaTeX\ using
IEEEtran.cls version 1.8a and later.
I wish you the best of success.
\hfill mds
\hfill September 17, 2014
\subsection{Subsection Heading Here}
Sub... |
2,869,038,155,970 | arxiv | \section{Introduction\label{Intro}}
Large mean free path ($L$$\gg$1 $\mu$m) of GaAs/AlGaAs-based two-dimensional electron gas (2DEG) and modern nano-fabrication technologies have enabled us to design and fabricate 2DEG samples artificially modulated with length scales much smaller than $L$. The samples have been extens... |
2,869,038,155,971 | arxiv | \section{Introduction}
In this paper we consider pseudoprocesses related to different types of fractional higher-order heat-type equations. Our starting point is the set of higher-order equations of the form
\begin{equation}
\frac{\partial}{\partial t} u_m(x, t) \, = \, \kappa_m \frac{\partial^m}{\partial x^m} u_m(x,... |
2,869,038,155,972 | arxiv |
\section{Appendix}
In this Appendix, we first present additional experimental results for the NER before providing additional details on experiments, including model architectures and selection of hyper-parameters.
\subsection{Additional Experimental Results}
\begin{table}
\caption{All Trials for NER experiments.}
\... |
2,869,038,155,973 | arxiv | \section{Introduction}
\label{sec: introduction}
Viscoplastic (VP) fluids are a class of materials whose distinctive property is that they flow as
fluids if subjected to large enough stresses but behave as solids if the applied stress is below a
critical value, termed the yield stress. Although solids can also unde... |
2,869,038,155,974 | arxiv | \section{Introduction}
\label{sectionintroduction}
In recent years many sophisticated methods have been developed to calculate
higher order (``multi-loop'') QCD radiative corrections for high
energy quantities for which it is believed that an expansion in terms
of Feynman diagrams with a certain number of loops represe... |
2,869,038,155,975 | arxiv |
\subsection{Systematic uncertainties}
\label{sec:systematics}
\input{Systematics}
\subsection{Test of SM $J^P = 0^+$ against $J^P = 0^-$ \label{sec:zerom}}
The distributions of the test statistics $q$ from the \ensuremath{H \rightarrow ZZ^{(*)}}\ channel for the \ensuremath{J^P=0^+}\ and \ensuremath{0^{-}}\... |
2,869,038,155,976 | arxiv | \section{Negative binomial distribution}\label{sec:NBaug}
\section{Polya-Gamma distribution}
To infer the regression coefficient vector for each NB regression, we use the Polya-Gamma random variable $X\sim \mbox{PG}(a,c)$, defined in \citet{LogitPolyGamma} as the weighted sum of infinite independent, and iden... |
2,869,038,155,977 | arxiv | \section{Introduction}\label{sec:introduction}
As an active area of research, numerical study of evolutionary stochastic partial differential equations (SPDEs)
has attracted increasing attention in the past decades
(see, e.g., monographs \cite{kruse2014strong,lord2014introduction,jentzen2011taylor} and references ... |
2,869,038,155,978 | arxiv | \section{INTRODUCTION}
MHD waves and oscillations observed in the solar corona are extremely important as they provide an excellent opportunity to probe the corona indirectly via coronal seismology \citep{roberts1984,nakariakov2005,demoortel2009}.
Slow magnetoacoustic waves were discovered in post-flare coronal loop... |
2,869,038,155,979 | arxiv | \section{Introduction}
Image restoration aims to recover the high-quality image from its low-quality counterpart and includes a series of computer vision applications, such as image super-resolution (SR) and denoising. It is an ill-posed inverse problem since there are a huge amount of candidates for any original input... |
2,869,038,155,980 | arxiv | \section{Introduction}
Most of the recent work has been based on
spectroscopy, while little effort was done in analyzing
the photometry.
In this poster we present new, high accuracy photometry obtained at ESO
La Silla with the New Technology Telescope ($NTT$) under good seeing
conditions ($0.7^{\prime\prime} FWHM$) in ... |
2,869,038,155,981 | arxiv | \section{Introduction}
\label{Introduction}
Alzheimer's disease (AD) is an irreversible brain disorder that slowly destroys memory and thinking skills. According to World Alzheimer Reports \citep{gaugler20192019}, there are around $55$ million people worldwide living with Alzheimer's disease and related dementia. The t... |
2,869,038,155,982 | arxiv | \section{Introduction}
Finite generation of symbolic Rees rings is one of very interesting problems in commutative ring theory.
It is deeply related to Hilbert's 14th problem or Kronecker's problem (Cowsik's question~\cite{Cowsik}).
It often happens that the Cox ring (or a multi-section ring) of an algebraic varie... |
2,869,038,155,983 | arxiv |
\section{Ablation Studies}
\label{sec:ablation}
\marco{
In this section\um{,} we provide extensive ablation studies
to investigate key features of our approach.
We will consider the \textit{urban} experimental setup, with $\text{CS} \rightarrow \text{BDD} \rightarrow \text{IDD}$ domain and $\mathcal{C}_{bgr} \ri... |
2,869,038,155,984 | arxiv | \section{Introduction}\label{sec:intro}
Image generation or synthesis consists in the act of producing a novel image---representing a subject of interest or whatever else---from an input that could be a random noise matrix, another (real) image, or a combination of these two possibilities, eventually put beside a labe... |
2,869,038,155,985 | arxiv | \section{Introduction}
For many decades a commonly accepted view was that a purely
gravitational hair of a black hole contains no information besides its mass
$M$ and an angular momentum. This view is closely connected
to another statement that the Hawking spectrum \cite{Hawking} of black hole evaporation ... |
2,869,038,155,986 | arxiv | \section{Introduction}
Algorithms to automate consequential decisions such as hiring \citep{hiring}, lending \citep{lending}, policing \citep{policing}, and criminal sentencing \citep{sentencing} are frequently suspected of being unfair or discriminatory. The suspicions are not hypothetical. The 2016 ProPublica ... |
2,869,038,155,987 | arxiv | \section{Proofs}
\begin{proof}[Proof of Proposition~\ref{lem:nonsingular}]
The first claim follows directly from the fact that $\ones$ is an eigenvector of $P_{X^{\perp}} + \lambda L$ with eigenvalue 1, since $\ones \in \col(X)^{\perp}$ and $L\ones = 0$.
To show the second claim, note that the minimum eigenvalue of $P... |
2,869,038,155,988 | arxiv | \section{Introduction}
For a positive integer $n$, a {\it partition} of $n$ is a sequence $\lambda = (\lambda_1, \ldots, \lambda_l)$ of integers with $\lambda_1 \ge \lambda_2 \ge \cdots \ge \lambda_l \ge 1$ and $\sum_{i=1}^l \lambda_i =n$.
A partition $\lambda$ is frequently represented by its Young diagram.
The {... |
2,869,038,155,989 | arxiv | \section{Introduction}
\begin{table*}
\caption{Parameters found in the literature of the stars used in this study.}
\vspace{-2mm}
\centering
\tabcolsep=15pt
\begin{tabular}{lcrrrrc}
\hline\hline
\multicolumn{1}{c}{KIC} &
\multicolumn{1}{c}{\num} &
\multicolumn{1}{c}{M} &
\multicolumn{1}{c}{R} &
\multicolumn{1}{c}... |
2,869,038,155,990 | arxiv | \section{Introduction}
The microscopic accounting of black hole entropy for suitably simple (BPS) black holes \cite{StromingerVafa} is one of the triumphs of string theory. Hints of deep
ties between this subject and natural objects in number theory and the theory of automorphic forms began to appear with the work of... |
2,869,038,155,991 | arxiv | \section*{Acknowledgements}
\vspace{-2mm}
This project has received funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (grant agreement n$^{\circ}$ 725594 - time-data) and was supported by the Swiss National Science Foundation (SNSF) under grant n... |
2,869,038,155,992 | arxiv | \section{Introduction}
Zero knowledge (ZK for short) proof, a proof that reveals nothing
but the validity of the assertion, is put forward in the seminal
paper of Goldwasser, Micali and Rackoff \cite{GMR}. Since its
introduction, especially after the generality demonstrated in
\cite{GMW}, ZK proofs have become a fundam... |
2,869,038,155,993 | arxiv | \section{Introduction}
Quadratic forms on a free supertropical module, and their bilinear companions, were introduced and classified in \cite{QF1,QF2}, and studied further in \cite{Quasilinear,VR1,UB}.
These objects establish a version of tropical trigonometry, where the CS-ratio takes the role of the Cauchy... |
2,869,038,155,994 | arxiv | \section{Real-time conic optimization with infeasibility detection}
\label{sec: PIPG}
The key step in Algorithm~\ref{alg: trigger} is to solve optimization~\eqref{opt: trigger} if it is feasible, and prove that it is infeasible otherwise. Such a problem is also known as \emph{infeasibility detection} in constrained opt... |
2,869,038,155,995 | arxiv |
\section{Observations of Diffuse Light}
The study of the intracluster light (ICL) began with Zwicky's (1951)
claimed discovery of an excess of light between galaxies in the Coma
Cluster. Its low surface brightness ($\mu_B > 28$ mag arcsec$^{-2}$)
makes it difficult to study the ICL systematically (Oemler 1973; Thuan... |
2,869,038,155,996 | arxiv | \section{Introduction}
We are interested in developing efficient numerical methods for high
frequency wave propagation. For simplicity and clarity we take the
following linear scalar wave equation to present the idea,
\begin{equation}\label{eq:wave}
\partial_t^2 u - c^2(\bd{x}) \Delta u = 0,\qquad \bd{x}\in\mathbb{R... |
2,869,038,155,997 | arxiv | \section{Introduction}
Despite the long history of quantum mechanics, the quantum
measurement problem continues to attract interest motivated mostly
by the counter-intuitive features of the ``wavefunction
reduction''. Although dynamics of any measurement set-up is
governed by the Schr\"{o}dinger equation with an appro... |
2,869,038,155,998 | arxiv | \section{Introduction}
Measuring high-order intensity correlation function is the key tool to
reconstruct the object information in ghost imaging with thermal light
(GITL) \cite{r0,r2,r3,r4,r5,r6,wtj1}. The correlation orders were natural
numbers in all present scenarios. The most favorite order was $2$, and the
... |
2,869,038,155,999 | arxiv | \section{Introduction}
A sequence $(z_j)$ of points in a domain $G$ of the complex plane ${\mathbb{C}}$ is called the zero set of an analytic function
$f: G \to {\mathbb{C}}$, if $f$ vanishes precisely on this set $(z_j)$. This means that
$f(z)\not=0$ for $z\in G \backslash (z_j)$ and if the
point $\xi \in G$
occurs... |
2,869,038,156,000 | arxiv | \section{Introduction}
In this paper we study the low Mach number limit of local smooth solutions to the
following full compressible magnetohydrodynamic (MHD) equations
with general initial data in the whole space $\mathbb{R}^3$ (see \cite{Hu87,JT64,KL,LL}):
\begin{align}
&\partial_t\rho +{\rm div }(\rho\u)=0, \label{h... |
2,869,038,156,001 | arxiv |
\section{Splining Strings}
\label{sec:triespline}
\sparagraph{Problem Statement.} Given an immutable, lexicographically sorted array of strings, we want to build an index on top which supports two key operations. First, the index should support equality lookups: if the string is present, return its index, and if not,... |
2,869,038,156,002 | arxiv | \section{Introduction}
In the conventional model of binary stars, there is no consideration
of spin and tidal effects (Eggleton 1971,1972,1973; Hofmeister,
Kippenhahn \& Weigert, 1964; Kippenhahn et al. 1967; etc.); however,
rotation and tide have been regarded as two important physical
factors in recent years, so they... |
2,869,038,156,003 | arxiv | \section{Introduction}
$O(N)$ spinning particles \cite{Gershun:1979fb,Howe:1988ft,Kuzenko:1995mg}
have been useful to describe higher spin fields in first quantization
\cite{Siegel:1999ew,Bastianelli:2007pv}.
Similarly, $U(N)$ spinning particles \cite{Marcus:1994em, Marcus:1994mm}
have been instrumental to discove... |
2,869,038,156,004 | arxiv | \section{ Introduction}
There have been renewed interests for muon colliders operating at high energies in the range of multi-TeV~\cite{Delahaye:2019omf,Han:2020uid,Long:2020wfp}. This would offer great physics opportunity to open unprecedented new energy threshold for new physics, and provide precision measurements i... |
2,869,038,156,005 | arxiv | \section{Introduction}
The complete simply connected K\"ahler manifolds of nonzero
constant holomorphic curvature are the complex space forms $\C\PP^n$
and $\C{\mathrm H}^n$. Takagi \cite{takagi1975}, for $\C\PP^n$ and
Montiel \cite{montiel}, for $\C{\mathrm H}^n$,
catalogued a specific list of real hypersurfaces
whi... |
2,869,038,156,006 | arxiv | \section{Introduction}
If theoretical cosmologists are the flyboys of astrophysics,
they were flying on fumes in the 1990s. Since the early 1980s
inflation and cold dark matter (CDM) have been the dominant theoretical ideas
in cosmology. However, a key
prediction of inflation, a flat Universe (i.e., $\Omega_0 \equiv... |
2,869,038,156,007 | arxiv | \section{Introduction}
\label{sec:introduction}
\begin{figure}
\begin{center}
\includegraphics[width=\columnwidth]{intro2.png}
\end{center}
\caption{Unsupervised spectral image land cover segmentation.}
\label{fig:intro}
\end{figure}
Spectral remote sensing systems acquire information of the Earth's surface by ... |
2,869,038,156,008 | arxiv | \section{Introduction}
The universal relation between the statistics of quantum spectra and classical
mechanics is a fundamental cornerstone of quantum chaos:
For systems with regular dynamics it was conjectured that spectral statistics
show Poissonian behavior \cite{BeTa1977}.
In contrast, systems with chaotic dyn... |
2,869,038,156,009 | arxiv | \section{Introduction}
This work was originally written in the late 1980s.
It was then circulated as a preprint among a few colleagues (see e.g. MathSciNet review: 986700) but
for some reason was never published. In a recent conversation Hillel Furstenberg asked
whether there exists a subalgebra of $\ell^\infty(\math... |
2,869,038,156,010 | arxiv | \section{Introduction}
The relation between the topological entropy of the geodesic flow of a Riemannian manifold $(M,g)$ with non-positive sectional curvature and the critical exponent of the discrete group of isometries $\Gamma \cong \pi_1(M)$ acting freely on the universal covering $\tilde{M}$ of $M$ has been inten... |
2,869,038,156,011 | arxiv | \section{Introduction}
Functions are to mathematics as sentences are to linguistics, constituting
basic resources for develping more complete mathematical systems and models.
The importance of functions is reflected in their widespread applications
not only to the physical sciences, but to virtually every scientif... |
2,869,038,156,012 | arxiv | \section{Introduction}
\label{sec1}
Quantum state tomography (QST) determines an unknown state by making measurements on identical copies with highly important applications in various areas of quantum technologies \cite{d2003quantum, cramer2010efficient, christandl2012reliable}. QST and process estimation tasks for ... |
2,869,038,156,013 | arxiv | \section{Introduction}
In this paper, we present a deterministic algorithm for unsupervised generative modeling on strings using tensor networks.
The algorithm is deterministic with a fixed number of steps and the resulting model has a perfect sampling algorithm that allows efficient sampling from marginal distributi... |
2,869,038,156,014 | arxiv | \section{Introduction}
The literature contains considerable discussion of the
likelihood of nearby supernova events: their
frequency has been estimated (Shklovsky \cite{shkl}), and their
possible impacts on the biosphere have been considered
(Ruderman \cite{rude}; Ellis \& Schramm \cite{es};
Ellis, Fields, \& Schramm ... |
2,869,038,156,015 | arxiv | \section{Introduction}
Biology presents fascinating examples of nonequilibrium systems at high densities, exhibiting some remarkable similarities to the dynamics of equilibrium glasses \cite{angelini2011,garcia2015,zhou2009,sadati2014}. Such examples give strong motivation to study non-equilibrium (active) systems at h... |
2,869,038,156,016 | arxiv | \section{Introduction}
The radial velocity (RV) method is the principal technique for constraining the masses of exoplanets \citep{FirstDetection_1995}. It provides complementary information to the transit method, e.g., as used by the \emph{Kepler} and TESS spacecraft \citep{Borucki977, 1538-3873-126-938-398, TESS2014... |
2,869,038,156,017 | arxiv | \section{Introduction}
The dynamics of the long term evolution of small bodies revolving beyond the Neptune's orbit and forming the Edgeworth-Kuiper belt is a hot research topic in planetary science. Since 1992, when the first small body was discovered (Jewitt and Luu, 1993), hundreds of such small bodies, called tra... |
2,869,038,156,018 | arxiv | \section{Introduction}
In this paper we are concerned with stochastic (inviscid) dyadic models written in vector form
\begin{equation}\label{stoch-dyadic-model}
\d X= B(X)\,\d t + (\circ\,\d W(t)) X,
\end{equation}
where $X=(X_n)_n \in \R^\infty$ is an infinite dimensional column vector, $B(X)= B(X,X)$ and... |
2,869,038,156,019 | arxiv | \section{\label{intro}Introduction}
In the standard model the fundamental fermions come in families.
In writing down the theory one may start by first introducing just
one family, then one may repeat the same procedure by introducing
copies of the first family. Why do quarks and leptons come in
repetitive structures--... |
2,869,038,156,020 | arxiv | \section{Introduction}
Shape is arguably the most important property of objects, providing cues for affordance, function, category, and interaction. This paper examines the problem of predicting the 3D object shape from a single image (Fig.~\ref{fig:splash}). The availability of large 3D object model datasets~\cite{ch... |
2,869,038,156,021 | arxiv | \section{Introduction}
The modelling of a two-sex population with heritable traits has often proved to be a formidable problem due to the interplay of many seemingly crucial evolutionary mechanisms. Our study is motivated by a specific example of this problem: the evolution of longevity in ancestral populations, where... |
2,869,038,156,022 | arxiv | \section*{Abstract}
{\bf
We study $N$ spinless fermions in their ground state confined by an external potential in one dimension with long range interactions
of the general Calogero-Sutherland type. For some choices of the potential this system maps to
standard random matrix ensembles for general values of the Dyson i... |
2,869,038,156,023 | arxiv |
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\secdef\@part\@spart}
\def\@part[#1]#2{\ifnum \c@secnumdepth >\m@ne
\refstepcounter{part}
\addcontentsline{toc}{part}{Part \arabic{part}: #1}
\else \addcontentsline{toc}{part}{#1}
\fi
{\parindent 0pt \raggedright
\ifnum \c@secnumdepth >\m@ne
\reset@font\large\r... |
2,869,038,156,024 | arxiv | \section{Introduction} \label{intro}
Given a bichromatic point set $P = P_r \cup P_b$, where $P_r$ is the set of $n$ red points and $P_b$ is the set of $m$ blue
points, the basic separability problem is to find a separator $S$ such that the points in $P_r$ and
$P_b$ lie in two different sides of $S$ respectively. The ... |
2,869,038,156,025 | arxiv | \section*{Scientific/Technical/Management}
\section{Introduction}
All stars later than F5 possess convective zones that drive hot corona heated to 1-10 MK. For this standpoint, the Sun has a moderately heated corona (1-3 MK) extending from the transition zone to a few solar radii. The solar coronal heating is observed ... |
2,869,038,156,026 | arxiv | \section{Matrix multiplication on Systolic Arrays}
\label{s:gemm}
SAs consist of an array of Processing Elements (PEs) organized in $R$ rows and $C$ columns, as shown in Fig.~\ref{f:ws-base}(a). Each PE consists of a multiplier and an adder and necessary registers to appropriately pipeline the operation. SAs are fed b... |
2,869,038,156,027 | arxiv | \section{Introduction}
An important aspect of cognitive radio and dynamic spectrum access is how to distribute resources among users. Resource allocation in such systems differ from conventional wireless systems because the resources available changes with time and location, yielding an optimal allocation hard. In dyna... |
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