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1,314,259,994,263 | arxiv | \section{Introduction}\label{introduction}
Let $G$ be a reductive group defined over a number field
and let $P$ be a maximal parabolic subgroup of $G$ with Levi decomposition $P=MN$.
Given an automorphic representation $\pi$ of $M({\mathbb{A}})$, the adelic points of $M$, and a vector $f_\pi$ in the space of $\pi$,
one... |
1,314,259,994,264 | arxiv | \section{Introduction} \label{Sdrumce1}
It took 30 years for Kac' famous question `Can one hear the shape of a drum?' \cite{Kac}
to find an answer.
Gordon, Webb and Wolpert \cite{GWW} constructed two non-congruent planar domains
whose Laplacians with Dirichlet (or Neumann) boundary conditions are isospectral, that i... |
1,314,259,994,265 | arxiv |
\section{Background and Overview}
\label{sec:background}
\vspace{-0.1mm}
\subsection{Motivation and Problem Scope}
\label{sec:background:motivation}
\vspace{-0.2mm}
The Android platform is increasingly exposed to various malicious threats and attacks. As malware detection for Android systems is a response-sensitive... |
1,314,259,994,266 | arxiv | \section{Introduction}
Many of the well-known probability density functions such as the Gaussian, the
Rayleigh, and the exponential, among others, are uniquely determined by their
moments. However, there are densities for which all moments exist yet they do
not uniquely determine the density. Such probability density ... |
1,314,259,994,267 | arxiv | \section{Introduction}
\label{section: introduction}
The theory of (discrete-time) quantum walks has attracted enormous attention over the past few decades. Despite its apparent simplicity, vast applications of this ubiquitous notion can be found across multiple disciplines. For instance, the physical utility of quant... |
1,314,259,994,268 | arxiv |
\section{Introduction}
Increasingly, massive amounts of data are being generated, stored, and disseminated as a result of human activity. For instance, whenever a mobile phone call, monetary transaction, or social media post is made, geo-located data is automatically generated by mobile network provider, bank, or soc... |
1,314,259,994,269 | arxiv | \section{Introduction and Program Structure}
{KK}MC-hh\cite{kkmchh} is a precision MC generator for Z production and decay in high-energy
proton collisions. It is based on {KK}MC,\cite{Jadach:1999vf} which was originally developed for
precision Z boson phenomenology in $e^+e^-$ collisions, including exponentiated
mult... |
1,314,259,994,270 | arxiv | \section{Introduction}
In the past elementary particle theory was based on the assumption that nature must be described by a renormalizable quantum field theory. However, a dramatic progress in the realm of critical phenomena revealed that any non-renormalizable theory will look as if it were renormalizable at suffici... |
1,314,259,994,271 | arxiv | \section{Introduction}
\vspace{-0.1in}
There is a large gender disparity in representation in the physics community, with men dominating in both rank and number~\cite{Pettersson2011}. In studying this, much emphasis in physics education research focuses on gender gaps in \textit{performance}, such as concept inventorie... |
1,314,259,994,272 | arxiv | \section{Representation of the spectral derivative}
\label{app:spec}
Another representation of the spectral derivative can be obtained by taking the Fourier transform on the RHS of \eqref{trick}. One obtains
\begin{eqnarray}\label{eq:spectral_rep}
\big\{[[\partial_i]]\psi^n\big\}_{k} =
\cfrac{1}{N_i}
\sum_{p_{i}=... |
1,314,259,994,273 | arxiv | \section{Introduction}
\par\noindent
Since the discovery of Bekenstein \cite{Bekenstein1972,Bekenstein1973,Bekenstein1974} and Hawking \cite{Hawking1974,Hawking1975}
connecting the entropy ($S$) and area ($\mathcal{A}$) of a black hole (BH), general relativity, quantum field theory and statistical
physics became deepl... |
1,314,259,994,274 | arxiv | \section{Introduction}
With the recent discovery of the top quark at Fermilab,~\cite{CDF,D0}
top physics has moved from the search phase into the study phase.
The very large mass of the top quark separates it from the other fermions
and presents the possibility that new
physics may be discovered in either its producti... |
1,314,259,994,275 | arxiv | \section{Introduction}
\label{sec:intro}
The calculation of meson properties in the Dyson-Schwinger-Bethe-Salpeter-equation (DSBSE) approach
has enriched the theoretical hadron-physics landscape for many years. In fact, it was realized
soon after the conception of the quark picture of hadrons that a relativistic dynam... |
1,314,259,994,276 | arxiv |
\section*{Acknowledgments}
The problem of estimating change in soil microbial diversity associated with TPH was motivated by discussions with the Terrestrial and Nearshore Ecosystems research team at the Australian Antarctic Division (AAD). The case study data used in this paper was provided by the AAD, with part... |
1,314,259,994,277 | arxiv | \section{Introduction}
\label{sec:Intro}
The non-uniform spatial distribution of galaxies in the Universe, known as
large-scale structure, likely reflects the non-uniform spatial distribution of
dark matter. \cite{Kaiser84} showed that galaxies are biased tracers of
the total underlying mass distribution. Measureme... |
1,314,259,994,278 | arxiv | \section*{Introduction}
The notion of a parabolic vector bundle over a compact Riemann surface was first developed in \cite{MS} to obtain a version of the theorem of Narasimhan--Seshadri \cite{NS}, in the case where one wants to describe the moduli space of unitary representations of the fundamental group of the surfa... |
1,314,259,994,279 | arxiv | \section{Introduction}
Recently, graphene monolayers have attracted much attention motivated by
their unusual two\discretionary{-}{-}{-}dimensional (2D) Dirac energy spectrum of electrons. In graphite, which is a graphene multilayer composed of
weakly coupled graphene sheets, the interlayer interaction converts
the 2D ... |
1,314,259,994,280 | arxiv |
\section{Introduction}
\label{section:Intro}
The rapid development of cloud-based systems has enabled reliable and affordable access to shared computing resources at scale.
However, this shared access raises substantial privacy and security challenges.
Therefore, new techniques are required to guarantee the confident... |
1,314,259,994,281 | arxiv | \section{Problem Specification.}In this paper, we consider the solution of the $N \times
N$ linear
system
\begin{equation} \label{e1.1}
A x = b
\end{equation}
where $A$ is large, sparse, symmetric, and positive definite. We consider
the direct solution of (\ref{e1.1}) by means of general sparse Gaussian
elimination. ... |
1,314,259,994,282 | arxiv | \section{Introduction}
Zero forcing was introduced in \cite{AIM} to provide an upper bound for the maximum nullity
of symmetric matrices described by a graph, and independently in \cite{graphinfect} in the study of control of quantum systems. Zero forcing starts with a set of blue vertices and uses a color change ru... |
1,314,259,994,283 | arxiv | \section{Introduction}
The presence of heteroskedasticity significantly impacts estimations and inferences in a time series analysis.
Becker and Hurn (2009) and Pavlidis, Paya, and Peel (2010), for example, demonstrate that
the presence of heteroskedasticity frequently leads to over-rejections of the null hypothes... |
1,314,259,994,284 | arxiv | \section{INTRODUCTION}
In the last few years it has been clearly demonstrated that not only charged
ions but also neutral atoms can be conveniently trapped and cooled by means
of electro-magnetic fields. Although the physics of the various ingenious
scenarios developed to accomplish this is already interesting in itse... |
1,314,259,994,285 | arxiv | \section{Introduction}
\label{sc1}
\quad In the past decade, blockchain technology has evolved tremendously, and is now regarded as an endeavor
to facilitate the next generation digital exchange platform with a broad range of established or emerging applications including
cryptocurrency (\cite{Naka08, Wood14, HR17}),... |
1,314,259,994,286 | arxiv | \section{Introduction}
After over 100 years since the discovery of the diffuse interstellar bands (DIBs) in 1919 \citep{Heger1922}, over 600 DIBs have
been confirmed between 0.4 and 2.4\,{\micron} \citep{Cox2014,Galazutdinov2017b,Fan2019,Hamano2022,Ebenbichler2022}. As a set of weak
and broad absorption features, to... |
1,314,259,994,287 | arxiv | \section{Introduction}
In order to obtain higher convergence rates in the approximation of stochastic differential equations,
in general, we need to incorporate the information contained in iterated integrals.
However, in general these integrals can not be simulated directly. Therefore,
we need to replace these te... |
1,314,259,994,288 | arxiv | \section{Introduction}
Much of the structure of quantum field theory (QFT) is predicated on the principle of locality.
Adherence to locality is pursuant to convictions rooted in relativity, and is achieved in QFT by the association of regions of spacetime with algebras of observables.
Although, by construction, the ob... |
1,314,259,994,289 | arxiv | \section{Introduction}
Let $G$ be any group. By $\operatorname{Z} (G)$, $\gamma_2(G)$ and $\Phi(G)$, we denote the center, the commutator subgroup and
the Frattini subgroup of $G$ respectively. For $x \in G$, $[x, G]$ denotes the set $\{[x, g] = x^{-1}g^{-1}xg | g \in G\}$ and $x^G$ denotes the conjugacy class of
$... |
1,314,259,994,290 | arxiv | \section{Introduction}
The Cabibbo-Kobayashi-Maskawa (CKM) mixing matrix is one of the most important free
parameters of the Standard Model, encoding CP violation as complex phases in some
of its matrix elements. These effects manifest themselves only in the couplings
of the third generation, which makes the weak d... |
1,314,259,994,291 | arxiv | \section{Introduction}
The ability to emulate spin-orbit coupling (SOC) and the Zeeman interaction
in Bose-Einstein condensates (BECs) \cite{Spielman2009,Splielman2011,Zhai2012,Spielman2013,Zhai2015}
has raised a great interest in
the interplay of nonlinear phenomena and spin dynamics of these systems.
These... |
1,314,259,994,292 | arxiv |
\section{Conclusions}
We propose to use proximal gradient descent (PGD) to obtain a sub-optimal solution to the $\ell^{0}$ sparse approximation problem. Our theoretical analysis renders the bound for the $\ell^{2}$-distance between the sub-optimal solution and the globally optimal solution, under conditions weaker th... |
1,314,259,994,293 | arxiv | \section{Introduction}
Leptogenesis~\cite{FY} provides an elegant framework to consistently
address the observed Baryon Asymmetry in the Universe
(BAU)~\cite{WMAP} in minimal extensions of the Standard
Model~(SM)~\cite{reviews}. According to the standard paradigm of
leptogenesis... |
1,314,259,994,294 | arxiv | \section{Interpretations and Constraints}
We show now that our theory suggests the light speed anisotropy with
respect to the azimuthal angle in an ``absolute'' reference frame.
To understand the azimuthal distribution of the GRAAL data, let us
consider two simple
forms of $\Delta^{\alpha \beta}$.
One is
\begin{e... |
1,314,259,994,295 | arxiv |
\section{Subsumption Algorithm for \ensuremath{{\mathcal{F\!L}_0}}\xspace with General TBoxes}\label{sec:subs}
\newcommand{\sqcap}{\sqcap}
\newcommand{\I}{\ensuremath{\mathcal{I}}\xspace}
\newcommand{\sqsubseteq}{\sqsubseteq}
\newcommand{\sqcap}{\sqcap}
\newcommand{\sqsubseteq}{\sqsubseteq}
\newcommand{\s... |
1,314,259,994,296 | arxiv | \section{Introduction}
In this paper we continue our investigations on random walk orthogonal polynomials of multiple type. In~our previous paper \cite{bfmaf} we found that the ideas of Karlin and McGregor \cite{KmcG}, see also \cite{KmcG1957-1,KmcG1957-2}, can be extended from standard orthogonality to the multiple ... |
1,314,259,994,297 | arxiv | \section{introduction}
\label{intro}
Magnetism in the absence of the spatial inversion symmetry has drawn considerable interest in condensed matter physics, since it exhibits various fascinating phenomena, such as the magneto-electric effect~\cite{Curie, Fiebig_2005, khomskii2009trend} and nonreciprocal transport~\ci... |
1,314,259,994,298 | arxiv | \section{Introduction}
The goal of many observational analyses is to estimate the causal effect on survival of different time-fixed or time-varying treatment strategies, interventions or rules in a study population. These causal effects can be formally defined by a contrast (e.g., difference or ratio) in the distribu... |
1,314,259,994,299 | arxiv | \section{Introduction}
Deep inelastic lepton - nucleon scattering (DIS) has been an important
tool in particle physics for more than twenty-five years. Recent high
precision measurements by groups such as the NMC, SMC and various SLAC
groups~\cite{NMC, SMC, E140, E142} are testing the limits of our theoretical
know... |
1,314,259,994,300 | arxiv | \section{\@startsection{section}{1}%
\newtheorem{theorem}{Theorem}[section]
\newtheorem{corollary}[theorem]{Corollary}
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{proposition}[theorem]{Proposition}
\newtheorem{remark}[theorem]{Remark}
\newtheorem{definition}[theorem]{Definition}
\def1.0{1.0}
\def\varepsilon{\v... |
1,314,259,994,301 | arxiv | \section{Introduction}
A Markov decision process (MDP for short) is a five-tuple $({\bf X},{\bf U},\{U(x):x\in {\bf X}\},Q,c)$ where ${\bf X}$ is the state space, ${\bf U}$ is the action set, $\{U(x):x\in {\bf X}\} $ is feasible actions, $Q$ is the transition kernel and $c$ is the cost-per-stage function. For its wide... |
1,314,259,994,302 | arxiv | \section{Introduction}
Accompanying the revolution of pre-trained models in many NLP applications, such as sentiment analysis~\cite{xu2019bert}, question answering~\cite{yang2019end}, information retrieval~\cite{yang2019simple}, and text generation~\cite{raffel2019exploring}, many related technologies have been deploy... |
1,314,259,994,303 | arxiv | \section*{}
\vspace{-1cm}
\footnotetext{\textit{$^{a}$~Institute of Theoretical Physics, Faculty of Physics, University of Warsaw, Pasteura 5, 02-093 Warszawa, Poland. Tel: +48 2255 32908; E-mail: fdutka@fuw.edu.pl}}
\footnotetext{\textit{$^{b}$~Institute of Physical Chemistry, Polish Academy of Sciences, Kasprz... |
1,314,259,994,304 | arxiv | \subsection{Energy Estimate}
As usual, we denote by
\begin{equation}\label{2.1a}
\eta^*_\delta{}={}\frac{m^2}{2\rho}{}+{}h_\delta(\rho),\qquad
q^*_\delta{}={}\frac{m^3}{2\rho^2}{}+{}m h'_\delta(\rho),
\end{equation}
as the mechanical energy pair of system \eqref{eq:NS} with $\e=0$,
where $h_\delta(\rho):=\rho e_\delt... |
1,314,259,994,305 | arxiv | \section{Introduction}
Mean curvature flow is a geometric evolution equation for surfaces $\Sigma\subset\R^3$, under which each point $x\in\Sigma$ moves in the inward normal direction proportionally to the mean curvature of $\Sigma$ at $x$. More generally, mean curvature flow can be defined as the gradient flow for the... |
1,314,259,994,306 | arxiv | \section{Introduction}
Bayesian parameter estimation is a problem usually encountered when testing physical models against some experimental data. In these cases, inference from the posterior of the model is often done using a sampling algorithm. The posterior's likelihood in realistic scenarios is usually a complex h... |
1,314,259,994,307 | arxiv |
\chapter{Introduction}
\heads
Graded manifolds are geometrical objects introduced by Kostant,
{\kost} and Berezin, Leites, {\berezin}, as the natural
mathematical tool in order to study supersymmetric problems. In
particular, the formalism of graded manifolds provides the possibility
to deal with classical dynamic... |
1,314,259,994,308 | arxiv | \section{Introduction}
Models of inflation \cite{Guth:1980} considering a nonzero coupling $\xi$ between the scalar inflaton field and the gravitational Ricci scalar have been studied for more than 20 years.
Originally introduced to solve the graceful exit problem in the old inflationary scenario \cite{La:1989za}, it... |
1,314,259,994,309 | arxiv | \section{INTRODUCTION}
In the near future, robots will interact, explore, and cooperate with human beings, and they will permeate into people's lives and our societies. This application calls for new social functions in robotic systems. Several studies have explored social navigation based on robots being aware of pe... |
1,314,259,994,310 | arxiv | \section{Introduction}
The Chajnantor area, a high altitude site in the Chilean Altiplano, is recognized as one of the best sites in the world for the millimeter, submillimeter, and mid-infrared astronomical observations \citep{bustos14}. Located at $23^{\circ}$00'54"S $+67^{\circ}$45'45"W and 5080 m in altitude, this... |
1,314,259,994,311 | arxiv | \section{Introduction}
\label{s1}
\subsection{$p$-Adic mathematical physics.}\label{s1.1}
It is well known that apart from the {\it ``usual'' mathematical physics\/}
(``${\mathbb C}$--case'', where all functions and distributions are complex or
real valued defined on spaces with real or complex coordinates)
there is... |
1,314,259,994,312 | arxiv | \section{Introduction}
The evolution of lattice gauge theory techniques has greatly enhanced our
understanding of quark-gluon dynamics in QCD.
Heavy-light mesons provide an ideal laboratory
for lattice QCD studies.
The static approximation ($m_Q \rightarrow \infty$) in which the heavy
quark propagator is replaced by a... |
1,314,259,994,313 | arxiv | \section{Introduction}
\label{sec-INT}
The concept {\em entropy} arises across a broad range of topics
within the mathematical sciences, with different nuances and applications.
There is a substantial literature (see Section~\ref{sec:concept}) on topics linking entropy and graphs,
but our focus seems different fro... |
1,314,259,994,314 | arxiv |
\subsection{Astronomical data}
Astronomical data can be found in two formats: spectra and images. Spectra consist of nearly continuous measures of energy fluxes emitted or absorbed by an object as a function of wavelength. Their fine-grained resolutions allow reliable categorization of objects by matching observed en... |
1,314,259,994,315 | arxiv | \section{Introduction}
\subsection{}
A theory of quantum supergroups was developed systematically by
Yamane \cite{Y1, Y2} after the classical work of Drinfeld, Jimbo and
Lusztig. Recently the interest in quantum supergroups has been
revived (see \cite{CW, CHW1, CHW2}) thanks to their categorification
\cite{HW} by Hill... |
1,314,259,994,316 | arxiv | \section*{Introduction}
Analysing various kinematic domains of Virtual Compton Scattering (VCS),
one may obtain clues to various problems of strong interaction dynamics.
If $s\gg-t$, and $Q^2$ is fixed, the amplitude of VSC may be described
(Fig.1a) by the sum of $t$--channel Reggeon (R) exchanges \cite{dg},
\begin{e... |
1,314,259,994,317 | arxiv | \section{Introduction}
The simulation of many-body states is one of the most promising and long-awaited applications of quantum computing. In particular, quantum computers are expected to efficiently prepare certain entangled multipartite states, which can help us in the study of quantum many-body systems, or in varia... |
1,314,259,994,318 | arxiv | \section{INTRODUCTION}
One of the central questions in the interpretation of quantum
mechanics from a realist perspective is whether the
indeterminacies or uncertainties in quantum mechanics are of an
\emph{ontological} or \emph{gnoseological} character. They are
gnoseological if the observables of the system possess e... |
1,314,259,994,319 | arxiv | \section{#1}\setcounter{equation}{0}}
\renewcommand{\theequation}{\thesection.\arabic{equation}}
\newtheorem{Thm}{Theorem}[section]
\newtheorem{Defi}[Thm]{Definition}
\newtheorem{Cor}[Thm]{Corollary}
\newtheorem{Lemma}[Thm]{Lemma}
\newtheorem{Prop}[Thm]{Proposition}
\newtheorem{Rem}[Thm]{Remark}
\newtheorem{Conj}[Thm]... |
1,314,259,994,320 | arxiv | \section{Introduction}
\label{sec:intro}
Convolutional neural networks (CNN) \cite{lecun1998gradient} allow us to extract powerful features that can be used for tasks such as image classification and segmentation. However, these features are usually domain specific in that they are not discriminative enough for datase... |
1,314,259,994,321 | arxiv | \section{Introduction}\label{SecIntro}
A porous medium consists of a solid matrix saturated with a fluid that circulates freely through the pores \cite{BIOT56A,BOURBIE,CARCIONE07}. Such media are involved in many applications, modeling for instance natural rocks, engineering composites \cite{GIBSON94} and biological m... |
1,314,259,994,322 | arxiv | \section{Introduction}
\begin{comment}
Designing a secure SoC platform is a challenging and complex activity. SoC design flow involves multiple designs and verification stages. Modern SoC IPs are heavily customized on various fields e.g. Signal Processing, Video and Image Encoding, Quantum and Artificial Intelligence ... |
1,314,259,994,323 | arxiv | \section*{Introduction}
In \cite{Dix} Dixmier proved the existence of non-normal traces on
the von Neumann algebra $B(H)$. Dixmier's original construction
involves singular dilation invariant positive linear functionals
$\omega$ on $\ell^\ensuremath{\infty}(\ensuremath{\mathbb{N}})$. This construction was altered by A... |
1,314,259,994,324 | arxiv | \section{Introduction}
The human heart does not beat at a constant rate, even for a
subject in repose. Rather, there is strong variability of the
heart rate. The complexity of this heart rate variability (HRV)
presents a major challenge that has attracted continuing
attention. Many of the explanations proposed are by... |
1,314,259,994,325 | arxiv | \section{Motivation}
\label{Motivation}
In earlier papers \cite{Graft00,Graft01} I argued that the orthodox quantum mechanics solution for EPR is incorrect and that an alternative calculation is required. My previous treatment, although correct, was based on a macroscopic, classical model (spinning disks). I argued t... |
1,314,259,994,326 | arxiv | \subsection{Control of Absolute Error}
In many situations, it is desirable to construct an estimator for
$p$ with guaranteed absolute precision and confidence level. For
this purpose, we have
\begin{theorem} \label{coverage_abs} Let $0 < \varepsilon < \frac{1}{2}, \; 0 < \delta < 1, \;
\zeta > 0$ and $\rho > 0$. Le... |
1,314,259,994,327 | arxiv | \section{Introduction}
The cooling-flow problem in clusters of galaxies has been one of the most
notorious issues in galaxy formation.
The cooling time ($t_c$) of gas within the central $100-200$~kpc of many
clusters is less than a Hubble time
\citep[e.g. ][]{CowieBinney77, FabianNulsen77}.
If there is no compe... |
1,314,259,994,328 | arxiv |
\section{Basic Procedures}
Before stating algorithms, we describe some elementary procedures which will be used as subroutines in our algorithms.
\textbf{\texttt{getPivots}}$(T,d,r)$ takes as input a set $T$ of points with distance function $d$ and a radius $r$. Starting with $P=\emptyset$, it performs a single pass... |
1,314,259,994,329 | arxiv | \section{Introduction}
In the last few years the number of observed exoplanets have increased dramatically, owing to
missions like CoRoT (Baglin et al. \cite{baglin06}) and \textit{Kepler} (Koch et al. \cite{koch10}), as well as many other ground based and space missions
(see the exoplanet encyclopedia for a complet... |
1,314,259,994,330 | arxiv | \section{Introduction}
\label{sec:intro}
Dissipative dynamical systems are ubiquitous in Nature. For example, in mechanical systems they occur when energy is pumped into the system through an external driving force acting on it, or energy is drained by means of mechanisms such as friction. The process by which dissipa... |
1,314,259,994,331 | arxiv | \section{Introduction}
Image restoration, including image denoising, deblurring, inpainting, computed tomography, etc., is one of the central problems in imaging science. It aims at recovering an image of high-quality from a given measurement which is degraded during the process of imaging, acquisition, and communicat... |
1,314,259,994,332 | arxiv | \section{Introduction}
The Schr\"{o}dinger equation with fractional spatial dispersion was
originally derived for the wave function of particles moving by L\'{e}vy
flights, using the Feynman-integral formulation of fundamental quantum
mechanics \cite{Lask1,Lask2}. While experimental realization of fractional
quantum m... |
1,314,259,994,333 | arxiv | \section{Introduction}
Recently multiferroics with the coexistence of ferroelectricity
and magnetism have been intensively studied not only due to
potential applications but also from basic
interest~\cite{Fiebig}. In particular, BiMnO$_3$ is regarded as a
true multiferroic material with both ferromagnetism and
ferroe... |
1,314,259,994,334 | arxiv | \section{Introduction}
The aim of this paper is to demonstrate that a vector
dominance model, generalized to comply with Bjorken scaling, (GVMD),
contains Color Coherent Phenomena anticipated previously
within the parton model and/or for hard PQCD regime.
This explains the ability of GVDM
to describe large sets of... |
1,314,259,994,335 | arxiv | \section{Planning Framework}
\label{sec:approach}
To solve Problem 1, we propose to leverage (i) reachability analysis, which allows us to predict future states of the obstacles in the presence of uncertainty during the periods between intermittent information and (ii) potential fields to navigate the robot i... |
1,314,259,994,336 | arxiv | \section{Introduction}
Contact binary stars are common: According to the only currently
available unbiased statistics --
a by-product of the OGLE microlensing
project -- as discussed in Rucinski \shortcite{ruc97a}
and Rucinski \shortcite{ruc98b},
the spatial frequency of contact binaries among the main-sequence,
ga... |
1,314,259,994,337 | arxiv | \section{Introduction}
\label{intro}
The original contributions to the study of rapidly rotating neutron stars in the framework of the ``post-Newtonian approximation'' (PNA) are due to Chandrasekhar \citep{C65a}, Krefetz \citep{K67}, and Fahlman \& Anand \citep{FA71}. The problem of fast rigid rotation of neutron st... |
1,314,259,994,338 | arxiv | \section{Introduction}
Astrophysical bow shock is a classical subject, and is observed around objects interacting with supersonic gas flows in a wide range of scales from planets to cosmic jets (Dyson et al. 1975; van Buren et al. 1990; Ogura et al. 1995; Wilkin 1996; Arce and Goodman 2002; Reipurth et al. 2002).... |
1,314,259,994,339 | arxiv | \section{Introduction}\label{sec:introduction}
So far the Standard Model (SM) has been remarkably successful in explaining the
data from the modern hadron colliders like the Tevatron at Fermilab or the Large Hadron
Collider (LHC) at CERN. We have now very strong indications that the only missing piece
... |
1,314,259,994,340 | arxiv | \section{Introduction}
Pulsations with acoustic modes ($p$-modes) and/or gravity modes ($g$-modes) are observed in a certain number of B-type stars. Some show only $p$-modes ($\beta$ Cep pulsators), some others only $g$-modes (Slowly Pulsating B stars, SPB), whereas some exhibit both types of modes (hybrid pulsators).... |
1,314,259,994,341 | arxiv | \section{Introduction} \label{intro} This paper is part of a program
aimed at increasing the number of galaxies with accurate distance
determinations via ground-based multicolor CCD photometry of Cepheid
variables.
In the first paper of the series, Capaccioli, Piotto and Bresolin (1991,
CPB) presented new $BV$ photome... |
1,314,259,994,342 | arxiv | \section{Introduction}
For improving the energy resolution
of cryogenic bolometers and calorimeters,
the thermal properties of
mesoscopic structures play a key role.
They can deviate significantly from the
properties of bulk materials due to the
surface effects that manifest in structures
with a large ... |
1,314,259,994,343 | arxiv | \section{Introduction}
Probing the faint end of the luminosity function (LF) in galaxy clusters and groups has in many cases exposed a discrepancy between the number of observed dwarf galaxies and the number of dark matter (DM) sub-haloes predicted by current hierarchical cold dark matter models -- the so-called missin... |
1,314,259,994,344 | arxiv | \section{Introduction}
The Patlak-Keller-Segel (PKS) model can be used to describe the collective dynamics of a large
number of individual agents interacting through a diffusive signal. For instance, it appears for the chemotaxis phenomena of various types of cells, aggregation dynamics of crowds or to describe the ... |
1,314,259,994,345 | arxiv | \section{Introduction}
\subsection{Background}
Multiplication operators on Hilbert spaces of analytic functions appear in several
contexts in analysis. In operator theory, they frequently can be used to model
fairly general classes of operators; see for instance \cite{Agler82,SFB+10}. In complex analysis and harmonic... |
1,314,259,994,346 | arxiv | \section{Introduction}
\label{sec:introduction}
\newcommand{\teaserimg}[1]{\includegraphics[width=0.115\linewidth,clip]{#1}}
\begin{figure}[t]
\centering
\begin{tabu}{cccccccc}
\rowfont{\tiny}
\multicolumn{8}{c}{Single Channel}\\
\teaserimg{IMAGES/dataset_imgs/003_0/full_frame.png}&
... |
1,314,259,994,347 | arxiv | \section{Introduction}
It is widely expected that gravitational waves of sufficiently strong
amplitude will
be detected by a new generation of gravitational wave interferometers.
Binary systems composed of
compact objects, such as black holes and/or neutron stars, are among
the strongest expected sources of these w... |
1,314,259,994,348 | arxiv | \section{Introduction}
When captured by the gravitation of a neutron star, the interaction
between the matter outflow coming from a companion star (such as the
Be decretion disc of a Be star, or the Roche Lobe overflowing matter
from a low mass star) and the magnetic field of a neutron star can
lead to several states... |
1,314,259,994,349 | arxiv | \section{Introduction}
This paper was motivated by a desire to study indecomposable objects in certain module categories for a vertex operator algebra $V$ via modules for the higher level Zhu algebras for $V$, denoted $A_n(V)$, for $n \in \mathbb{N}$. In \cite{Z}, Zhu introduced an associative algebra, which we denot... |
1,314,259,994,350 | arxiv | \section{Introduction}
\label{sec:introduction}
\IEEEPARstart{V}{ehicle} telematics is steadily evolving as a solution to improve mobility safety, vehicles efficiency, and maintenance~\cite{Markets:2020}. Sensors which monitor mechanical, electrical, and electronic systems of the vehicle produce information collected ... |
1,314,259,994,351 | arxiv | \section{Introduction and Main Results}
Maxwell's equations describe electromagnetic waves and consequently the propagation of light. We refer to the physics' literature for further query (cf. \cite{LandauLifschitz1990,FeynmanLeightonSands1964}).
Time-dependent Maxwell's equations in media in three spatial dimensions ... |
1,314,259,994,352 | arxiv | \section{Introduction}
\defcitealias{2018berton1}{B18}
Among active galactic nuclei (AGN), the class of narrow-line Seyfert 1 (NLS1) galaxies has been in the spotlight for the last decade. In the optical spectra of NLS1s the emission lines originating from the high-density broad-line region (BLR) and the low-density n... |
1,314,259,994,353 | arxiv | \section*{Appendix: String ansatz for broad excitations}
\newcommand{\rb}[1]{|#1)}
\newcommand{\lb}[1]{(#1|}
\newcommand{\ew}[1]{[\textcolor{red}{\textbf{EW:}} #1]}
In this appendix we provide the details of the extended quasiparticle ansatz for describing broad low-energy excitations (see Sec.~\ref{sec:bound} in ... |
1,314,259,994,354 | arxiv | \section{Introduction} Let $D$ be a domain in the complex plane
${\Bbb C}.$ Throughout this paper we use the notations $z=x+iy,$ $B(z_0,r)\ \colon
=\{ z\in{\Bbb C}: |z-z_0|<r\}$ for $z_0\in{\Bbb C}$ and $r>0$, ${\Bbb B}(r)\ \colon
=B(0,r)$, ${\Bbb B}\ \colon ={\Bbb B}(1)$, and $\overline{{\Bbb C}}\ \colon
={\Bbb C}\cup... |
1,314,259,994,355 | arxiv | \section{Introduction} \label{sec:1}
Populations of self-sustained oscillators can exhibit various synchronization phenomena
\cite{ref:winfree80,ref:kuramoto84,ref:pikovsky01,ref:strogatz03,ref:manrubia04}.
For example,
it is well known that a limit-cycle oscillator can exhibit phase locking to a periodic external fo... |
1,314,259,994,356 | arxiv | \section{Introduction} \label{sect1}
Next generation wireless communication networks are required to provide ubiquitous and high data rate communication with guaranteed quality of service (QoS). These requirements have led to a tremendous need for energy in both transmitter(s) and receiver(s). In practice, portable m... |
1,314,259,994,357 | arxiv | \section{Introduction}
The construction of a quantitative, predictive, force-level theory of activated glassy structural relaxation at the level of atoms or molecules remains a grand challenge in statistical mechanics [1,2,3]. Recently, Mirigian and Schweizer formulated and applied a force-based dynamical theory that r... |
1,314,259,994,358 | arxiv | \section{Representations of Data in Machine Learning}
\subsection{Introduction}
We start by the definition of a data representation. Suppose we are given a set of $P$ data samples $\bf{x^{(1)}},\bf{x^{(2)}},...\bf{x^{(P)}}$ of a $N$-dimensional random variable $\bf{X}$ having joint density $P(\bf{X})$. A data transfo... |
1,314,259,994,359 | arxiv | \section{Introduction}
Stellar variability is a subject of great interest as there is a wide
variety of object classes producing a range of lightcurve forms. Interest
in variable stars has increased in recent years, due in no small part to
large-scale surveys and the capabilities to reduce vast datasets. There are
a n... |
1,314,259,994,360 | arxiv | \section{Introduction}
Let $X$ be a projective $K3$ surface. In \cite{beauvoisin}, Beauville and the author
proved that $X$ carries a canonical $0$-cycle $c_X$ of degree $1$,
which is the class in $CH_0(X)$ of any point of $X$ lying on a (possibly singular)
rational curve on $X$.
This cycle has the property that
... |
1,314,259,994,361 | arxiv | \section{Introduction} \label{int}
Dynamic problems involving contact between deformable bodies or between a body and a foundation still remain today an important subject of study for mathematical and numerical analysis. In the literature, many references offer different approaches for the usual contact conditions wit... |
1,314,259,994,362 | arxiv | \section{Introduction}
In the present paper we discuss the stochastic limit for a quantum particle interacting with a quantum Bose field without dipole approximation. We shaw that in this limit some collective excitations of the field and the particle (the entangled operators defined as a free evolution of contribut... |
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