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1,116,691,498,915 | arxiv | \section{Introduction}
The observation that ultra-luminous infrared galaxies (ULIRGs,
defined as those with infrared luminosities
greater than $10^{12}$ $ L_{\odot}$) show a mixture of two distinct types of
nuclear activities, namely starbursts and
active galactic nuclei (AGN), has led to many observational studies
o... |
1,116,691,498,916 | arxiv | \section{Introduction} \label{sec:intro}
Dynamical processes in accretion discs of young stellar objects has recently gained much attention. Among them are short-lived episodes of high-rate accretion of FU-Orionis-type stars (FUors). While there exist many theoretical models that can explain FUors (see e.g. a review... |
1,116,691,498,917 | arxiv | \section{Introduction}
Gel$^\prime$fand and Dikii gave a bosonic formal variational
calculus in \cite{GD1,GD2} and Xu gave a fermionic formal
variational calculus in \cite{Xu1}. Combining the
bosonic theory of Gel$^\prime$fand-Dikii and the fermionic theory, Xu gave in \cite{Xu2} a formal variational calculus of
... |
1,116,691,498,918 | arxiv | \section{Introduction}
The discourse structure of a natural language text has been analyzed and conceptualized under various frameworks \cite{mann1988rhetorical,lascarides2007segmented,Prasad:2008ww}. The Penn Discourse TreeBank (PDTB) and the Chinese Discourse Treebank (CDTB), currently the largest corpora annotated w... |
1,116,691,498,919 | arxiv | \section{Introduction}
Evidence for the incidence of nonextensive dynamical properties at critical
attractors in low dimensional nonlinear maps has accumulated and advanced
over the last few years; specially with regards to the onset of chaos in
logistic maps - the Feigenbaum attractor \cite{tsallis2,robmori1},
and at... |
1,116,691,498,920 | arxiv | \section*{Introduction}
We start with a history of the subject. Let $G$ be a reductive group and $\Gamma$ be a finitely-generated ideal of (dominant) weights of $G$. The coordinate algebra $K[G]$ of $G$ can be regarded as a left $G$-module via left and right regular representations $\rho_l$ and $\rho_r$ respectively (... |
1,116,691,498,921 | arxiv | \section{Introduction}
The use of Deep Learning (DL) has seen a resurgence in its application to geophysical problems over the past decade. Last century's investigations into the potential benefits of DL methodologies were hampered by technological limitations \cite{dean2018}. Nowadays, access to reasonably powerful co... |
1,116,691,498,922 | arxiv | \section{Introduction}
In this paper, we study ``parabolic'' Deligne-Lusztig varieties, one of the
main motivations being the Brou\'e conjecture on blocks with abelian defect
groups for finite reductive groups.
Let $\bG$ be a connected reductive algebraic group over an algebraic
closure $\Fpbar$ of the prime fi... |
1,116,691,498,923 | arxiv | \section{Introduction}\label{int}
In decades the connection between galaxy evolution and the growth of supermassive black holes (SMBHs) has been one of the main topics in extragalactic research. The tight correlation of black hole mass, $M_{\rm BH}$, with galaxy properties, e.g., stellar velocity dispersion, $\sigma_{*... |
1,116,691,498,924 | arxiv | \section{Introduction}
\begin{table*}[t]
\centering
\begin{tabular}{c}
\includegraphics[width = 14cm]{./images/in.png} \\
\includegraphics[width = 14cm]{./images/dae_rec.png}\\
\includegraphics[width = 14cm]{./images/arae_rec.png}
\end{tabular}
\captionof{figure}{Unlike \ac{dae}, \ac{arae} that is trained on the norma... |
1,116,691,498,925 | arxiv | \section{Introduction}
Several recent works (e.g. \cite{CGRS,CGRS2,KIMRN,KuanQRWQG,KuanJPhysA}), motivated by mathematical physics, have used explicit central elements of various quantum groups. For the applications in those paper, the central elements need to be explicitly written in terms of the generators of the q... |
1,116,691,498,926 | arxiv | \section{Introduction}
With evidence of supermassive black holes (SMBH) lurking at the center of nearly all galaxies \citep{Richstone98}, it is pertinent to examine and understand their properties as well as their impacts. Studies have shown a critical relation between SMBHs and their host galaxies in the form of the $... |
1,116,691,498,927 | arxiv |
\section{Approach}
Densely connected models were previously considered by~\cite{KrahenbuhlNIPS2011,VineetBMVC2012,VineetECCV2012,KrahenbuhlICML2013} and shown to yield impressive results for the image segmentation task. Learning the parameters of densely connected models was considered by Kr\"{a}henb\"{u}hl and Koltun... |
1,116,691,498,928 | arxiv | \section{Introduction}\label{sec:introduction}
The advent of quantum mechanics has opened a probabilistic view on fundamental physics. It has come, however, with new concepts and rules as wave functions, non-commuting operators and the rules to associate these quantities to observations. The unusual probabilistic feat... |
1,116,691,498,929 | arxiv | \section{Introduction}
Bohr's complementarity principle was introduced as a qualitative statement about quantum systems, or quantons \cite{Leblond}, which have properties that are equally real, but mutually exclusive \cite{Bohr}. This principle, together with the uncertainty principle, is at the origin of Quantum Mecha... |
1,116,691,498,930 | arxiv | \section{Introduction}
Let $\mathbb{P}^6$ be the projective space over ${\mathbb Q}$ with homogeneous coordinates
$a_1$, $a_2$, $a_3$, $b_1$, $b_2$, $b_3$, $c$; let $\bar S$ be the
surface in $\mathbb{P}^6$ defined by
\begin{equation} \label{esse}
\left\{ \begin{array}{rrrrrrl}
& a_1^2 &+& b_1^2 && = & ... |
1,116,691,498,931 | arxiv | \section{Introduction}
The Skyrme model, a nonlinear classical field theory of
pions, was introduced in the early 1960s as a tentative description of the strongly interacting
elementary particles \cite{skyrme}. The model provides a low energy effective theory of
quantum chromodynamics (becoming exact as the number of... |
1,116,691,498,932 | arxiv | \section{Introduction}
Whether the Milky Way dwarf spheroidal (dSph) satellite galaxies are undergoing tidal disruption
remains a controversial question. Such tidal
disruption would naturally lead to extended populations of stars that have been stripped
from the satellite core. That {\it most} of the Milky Way (MW)... |
1,116,691,498,933 | arxiv | \section{Introduction}
\label{intro}
\hspace*{\parindent} In this paper, we consider a uniform, infinite universe with a spherical
hole. Ultimately, we intend to develop a new cosmological model for an
expanding
universe in which holes are the dominant feature. Geller and Huchra \cite[p.
900]{gandh} also indicate the ... |
1,116,691,498,934 | arxiv |
\section{Introduction}
The production of lepton pairs in proton-proton collisions is dominated
by the Drell--Yan (DY) process i.e. the production of an intermediate $\gamma^*/$Z boson by the incoming partons. Measurements of the cross sections
as a function of the mass of the intermediate boson (hereafter referred to ... |
1,116,691,498,935 | arxiv | \section{Introduction}
The multi-armed bandit problem is a popular framework to formalize sequential decision making problems.
It was first introduced in the context of medical trials \citep{thompson1933likelihood,thompson1935criterion} and later formalized by \citet{ro52}:
A bandit is specified by a set of unknow... |
1,116,691,498,936 | arxiv | \section{Introduction}
The formation of a quark-gluon plasma (QGP) and its transition to
interacting hadronic matter -- as occurred in the early universe
-- has motivated a large community for several decades (cf.\
\cite{QM01} and Refs.\ therein). Early concepts of the QGP were
guided by the idea of a weakly interactin... |
1,116,691,498,937 | arxiv | \section{Introduction to O$f$DM}
In this section, we explain a prescription to introduce O$f$DM in a theory. Moreover, we argue why O$f$DM is a viable DM candidate.
Let us consider a very simplified version of the universe that matter is made of a single massless scalar field $\phi_0$
\begin{equation}
\mathcal{L}_M = ... |
1,116,691,498,938 | arxiv | \section{Introduction}
In this paper we consider a mean field game with common noise in which the diffusion coefficients may be controlled. Mean field games have been introduced by Lasry \& Lions \cite{lasry_lions_2007}, and Huang, Malhamé \& Caines \cite{huang_malhame_caines}, and generated a very extended literatur... |
1,116,691,498,939 | arxiv | \section{Introduction}
The way in which ice forms is important in a variety of fields,\cite{Hagen1981, *Toner1990, *Oxtoby1992, *Karlsson1993, *Baker1997, *Sassen2000, *Debenedetti2003, *Zachariassen2004, *Benz2005, *Hegg2009, *Spichtinger2010, *JohnMorris2011, *Murray2011, *Khvorostyanov2012, *BartelsRausch2012, Murr... |
1,116,691,498,940 | arxiv |
\section{Introduction}
\blfootnote{\noindent $^\spadesuit$ Work done during an internship at Amazon AI.}
The prevalence of unintended social biases in NLP models has been recently identified as a major concern for the field. A number of papers have published evidence of uneven treatment of different demographics \ci... |
1,116,691,498,941 | arxiv | \section{Introduction}
Asymptotic symmetries in gauge and gravitational theories have seen a resurgence of interest in recent years, both for studying the structure of cosmological observables and for investigating the formal structure of scattering amplitudes in field theory and gravity. Asymptotic symmetries are res... |
1,116,691,498,942 | arxiv | \section{Conclusion and Perspective}
\label{sec:conclusion}
Executing rules or queries on large data models is still an open challenge in the modelling community, especially when executed on limited hardware.
Solutions proposed so far, mostly rely on loading the full model and all rules in memory or push the proble... |
1,116,691,498,943 | arxiv | \section{Introduction}
\label{sec:introduction}
Nowadays, many mobile robots get awareness of their workspaces using RGB-D cameras~\cite{jing2017comparison,raul2017ijrr}. These compact and affordable sensors provide per-pixel depth measurements along with colour information at high frame rates, simplifying a variety... |
1,116,691,498,944 | arxiv | \section{Introduction}
The oscillation of the proteins MinD and MinE from pole to pole of individual cells of the bacterium {\it Escherichia coli} is used to localize cellular division to midcell \cite{reviews}. One cycle of the oscillation, lasting approximately one minute, starts with ATP-associated MinD binding to t... |
1,116,691,498,945 | arxiv | \section{Introduction, phenomena and results}
The aim of this extended abstract is to uncover the nature of fluctuations around almost surely oscillating sequences of random variables as they arise in a number of random combinatorial structures, most commonly in random trees. We develop an analysis for the composition... |
1,116,691,498,946 | arxiv | \section{Introduction and main results}
The Cauchy problem for the cubic nonlinear Schr\"odinger equation on the line
\begin{equation}\label{101}
iu_t + u_{xx} + |u|^2 u = 0, \hspace{2cm} u(0,x)=u_0(x) ,\,\,\,x\in \mathbb R
\end{equation}
is known to be globally well-posed for data in the classical Sobolev spaces $H^s... |
1,116,691,498,947 | arxiv | \section{#1}}
\renewcommand{\theequation}{\arabic{section}.\arabic{equation}}
\renewcommand{\theequation}{\thesection.\arabic{equation}}
\usepackage{epsfig}
\begin{document}
\begin{titlepage}
\rightline{DAMTP-2005-94}
\rightline{\tt{hep-th/0510115}}
\bigskip
\begin{center}
\baselineskip=16pt
{\Large\bf Dilat... |
1,116,691,498,948 | arxiv | \section{Introduction} \label{introduction}
Multi-block nonconvex optimization with nonsmooth regularization functions has recently found important applications in statistics, computer vision, machine learning, and image processing. In this paper, we aim to solve a class of {\it constrained}\/ nonconvex and nonsmoot... |
1,116,691,498,949 | arxiv | \section{Supporting Information}
\section{Acknowledgments}
The support from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) - Project
GA501/14-1, the Volkswagen Stiftung Program (97738), the IRAP program of the Foundation for Polish Science (grant MAB/2018/9, project CENTERA) is gratefully ack... |
1,116,691,498,950 | arxiv | \section{Introduction}
Orthogonal time frequency space (OTFS) modulation has received considerable attention in the past few years since its introduction in~\cite{Hadani2017orthogonal}, thanks to its capability of enabling highly reliable communication over high-mobility channels~\cite{Zhiqiang_magzine}.
The most impor... |
1,116,691,498,951 | arxiv | \section{Introduction} \label{sec:intro}
The comparison of detailed Galactic chemical evolution models, GCE models,
with accurate abundance determinations of stars and gaseous
nebulae provides a powerful tool to test the chemical evolution
models and the accuracy of observational abundance determinations of
stars of d... |
1,116,691,498,952 | arxiv | \section{INTRODUCTION}
The age distribution of elliptical galaxies is a controversial issue
central to testing hierarchical models of galaxy formation. The
traditional viewpoint (Baade 1957, Sandage 1986) interprets the low
specific angular momentum and high central densities of elliptical
galaxies with their dissipat... |
1,116,691,498,953 | arxiv | \section{<A section>}
\begin{theacknowledgments}
The author would like to express his sincere thanks to Professor
Masataka Fukugita for stimulating discussions, fruitful collaboration
and a careful reading of this manuscript. This work is supported
in part by the Grant in Aid from the Ministry of Education and JSP... |
1,116,691,498,954 | arxiv | \section{\label{sec:1}Introduction}
The problems of the internal structure of black holes are a real great
challenge and has been the subject of very active
analytical and numerical researches during the last decades
\cite{Goldwirth87, Poisson90, Ori91, Ori92, Gnedin93, Bonanno94, Brady95,
Droz96, Burko97b, Burko97c... |
1,116,691,498,955 | arxiv | \section{Introduction}
In this paper we construct a string-type bracket on the $S^1$-equivariant reduced homology of the loop space of a simply-connected closed manifold $M$ with a puncture. In fact, we only need $M$ to be a rational Poincar\'e duality space of dimension $n$; removing a point corresponds to passing to... |
1,116,691,498,956 | arxiv | \section{Introduction}
Measurements of the pion, kaon and eta meson masses and their interactions
in finite nuclei provide new constraints on our understanding of dynamical
symmetry breaking in low energy QCD \cite{kienle}.
The $\eta$-nucleon interaction is attractive suggesting that $\eta$-mesons
may form strong-i... |
1,116,691,498,957 | arxiv | \section{Introduction}
\label{sec:intro}
This paper is the result of an attempt to obtain the interleaving
guarantee for the sparse \v Cech
complex of Cavanna, Jahanseir and Sheehy \cite{SRGeom} without using
the Nerve Theorem. The
rationale for this was to generalize the result to arbitrary
metric spaces. We have no... |
1,116,691,498,958 | arxiv | \section{Introduction}
\label{Sec:intro}
The bottom-quark production in hadron-hadron collisions is an important
test of perturbative quantum chromodynamics (pQCD) calculations. Because
of its large mass, $m_b \gg \Lambda_{QCD}$, the $b$-quark production
cross section can be reliably calculated by including next-to... |
1,116,691,498,959 | arxiv | \section{Introduction}
Recently, the relation between BMS symmetry and Newman-Penrose charges at null infinity of asymptotically flat spacetime has been made explicit in linear and non-linear gravity~\cite{conde, fakenews}, as well as electromagnetism~\cite{Campiglia:2018dyi}. While BMS charges are strictly defined at... |
1,116,691,498,960 | arxiv | \section{\label{sec:intro}Introduction}
The superconducting transmon qubit \cite{koch_transmon} has become a workhorse in the field of quantum computation and is the fundamental building block in some of the most sophisticated quantum computation systems built to date \cite{jurcevic2020demonstration,aleiner2020accurat... |
1,116,691,498,961 | arxiv | \section{Introduction}
Cosmic strings may have formed at a phase transition in the early
universe \cite{Tom,Review}. Information about the initial statistics of
a string network, after the point at which thermal fluctuations
become unimportant and the strings are `frozen in', has largely emerged
from the numerical simu... |
1,116,691,498,962 | arxiv | \section{Some Notation}\label{sec:note}
\note{
The following come from the ``physics'' package except the inner-product~\\ ~\\
$\ip{{\bm{a}}}{{\bm{b}}}, \abs{c}, \norm{{\bm{d}}}, \pdv{L}{{\bm{w}}}, \pdv[2]{L}{{\bm{w}}}, \dv{W}{t}, \dd{x}, \rank ({\bm{M}}),\tr({\bm{A}}),\Tr ({\bm{B}}), \var{W}$
~\\ ~\\
$\mathop{\m... |
1,116,691,498,963 | arxiv | \section{Introduction}
Heisenberg's uncertainty relation is one of the fundamental
principles of quantum mechanics. This principle only meets the
quantum effects of matters, and it does not directly describe the
quantum fluctuations of spacetimes. However, many efforts have shown
that Heisenberg's principle may suffer... |
1,116,691,498,964 | arxiv | \section{Introduction}
\enlargethispage*{4mm}
\label{intro}
Network virtualisation and programmable networks are nowadays quite common in the commercial clouds and telecommunication deployments and have also been deployed by some of the Research and Education (R\&E) network providers to manage Wide-Area Networks (WAN)... |
1,116,691,498,965 | arxiv | \section{Introduction}
\label{sec:intro}
Low-mass dwarf galaxies are dark matter-dominated systems thought to play an important role in the hierarchical formation of galactic halos. The search for the most extreme examples of these systems in the vicinity of the Milky Way has been transformed by the systematic mapping... |
1,116,691,498,966 | arxiv | \section{Introduction}
With the advent of large acceptance detectors it became possible
to observe not one but tens or even hundreds of particles produced
in a single collision of relativistic nuclei. Such a multi-particle
state constitutes an {\em event} corresponding to a single
high-energy collision. Event-by-ev... |
1,116,691,498,967 | arxiv |
\section{Introduction}
Eulerian--Lagrangian (EL) methods, in which particles are tracked individually and the fluid is solved on an Eulerian grid, have gained considerable traction for modeling particle-laden flows due to a balance between speed and resolution \citep{cundall_discrete_1979,tsuji_discrete_1993,van_der_h... |
1,116,691,498,968 | arxiv | \section{Introduction}
\label{sec:intro}
This paper contains a collection of observational data on hierarchical
multiple stars and updates the Multiple Star Catalog, MSC \citep{MSC}.
The usefulness of such compilation is supported by 210 citations
to the original paper. Hierarchical stellar systems are
in... |
1,116,691,498,969 | arxiv | \section{Introduction}
The terahertz (THz) frequency regime is situated between the infrared and the microwave regions of the electromagnetic spectrum, with frequencies spanning from 0.1 THz to 30 THz\cite{miles2001terahertz}. THz frequency radiation has many important applications. For example, many promising material... |
1,116,691,498,970 | arxiv | \section{Introduction}
The simulation of Gaussian random fields with specified covariance is a fundamental task in computational statistics with a wide
range of applications -- see, for example, \cite{DN97,WC94,GSPSJ06}. Since these fields provide natural tools for spatial
modeling under
uncertainty, they ... |
1,116,691,498,971 | arxiv | \section{Introduction}
Measuring accurate masses, radii, and luminosities, for low and very
low-mass stars has always been observationally challenging. Precise
individual masses and radii can be measured through combined
photometric and spectroscopic observations of double-lined
eclipsing binaries, but to date onl... |
1,116,691,498,972 | arxiv | \section{Introduction}
There are many instances in which physical systems spontaneously become emergent or orderly
\cite{Strogatz,Murray,Prigogine}. Even more spectacular is the order
created by chemical systems; the most dramatic being the order associated with life. However,
not all chemical reactions generate order.... |
1,116,691,498,973 | arxiv | \section{Introduction}
With the increasing accessibility of mixed reality devices and consumer-level
3D printers, recent technology enables us to experience a more
immersive virtual world as well as fabricate personalized digital models.
The immersion in virtual reality (VR) and the interactions with personalized 3D... |
1,116,691,498,974 | arxiv | \section{Introduction}
In recent studies pertaining to optical lattices, there has been a surge of interest in the investigation of photonic spectrum with flat band \cite{Flach:Leykam:14,Longi:14,Maimis:15,G:Malomed:16,Daniel,Leykam1}. In
\cite{Mukherjee:15,Mukherjee:Spracklen:15a} the effect of flat band
was investiga... |
1,116,691,498,975 | arxiv | \section{Introduction}
\label{sec:intro}
The performance of automatic speech recognition (ASR) systems has improved a lot in the recent years mostly due to the advances in deep learning~\cite{Hinton}. However, far-field ASR, with its applications such as virtual assistants, is still challenging under reverberant and no... |
1,116,691,498,976 | arxiv |
\section{Introduction}
\label{sec:intro}
Recent studies showed that the global demand for video streaming applications is growing rapidly \cite{cisco16}. Video data already constitutes more than $50\%$ of the total internet traffic, where a major part of this traffic is used for mobile streaming applications on portab... |
1,116,691,498,977 | arxiv | \section{Introduction}
Homogeneous Riemannian manifolds were characterized in terms of
homogeneous structures by Ambrose and Singer \cite{AS} (see also
\cite{TV}). Gadea and Oubi\~na \cite{GO} introduced {\em
homogeneous pseudo-Riemannian structures}, to give a corresponding
characterization of reductive homogeneous p... |
1,116,691,498,978 | arxiv | \section{Introduction}
Observations and modeling of molecules are relevant in order to obtain a chemical inventory in space and to derive physical conditions in astrophysical environments. For example, the HEXOS program, a Herschel/HIFI key program \citep{Bergin2010}, revealed the chemical inventory of the Orion an... |
1,116,691,498,979 | arxiv | \section{Introduction}
Given a bounded domain $\Omega$ in $\R^N$, a classical theorem of Rockafellar \cite{Ph} yields that
a single-valued map $u$ from $\Omega$ to $\R^n$ is {\it cyclically monotone}, i.e., for any finite number of points $(x_i)_{i=0}^n$ in $\Omega$ with $x_0=x_n$, we have
\begin{equation}
\hbox{... |
1,116,691,498,980 | arxiv | \subsection{History of the Universe and Cosmology}
\begin{itemize}
\item Is the Hubble constant measured with low redshift probes different from the value inferred with $\Lambda$CDM normalized to the cosmic microwave background data?
\item Is the Hubble tension a footprint o... |
1,116,691,498,981 | arxiv | \section{Introduction}
There are two types of coherent radiation at colliders ---
beamstrahlung (BS) and coherent bremsstrahlung (CBS).
Beamstrahlung takes place on colliders with long bunches when the
deflection angle of a radiating particle $\theta_d$ with Lorentz
factor $\gamma_e$ is much larger than the typical ra... |
1,116,691,498,982 | arxiv | \section{Introduction}
\label{s:intro}
Cosmological simulations are the most general tool for theoretical studies of galaxy formation. Significant progress is continuously being made on their physical fidelity, numerical accuracy and computing power, and as a result, also on their realism. However, several factors hi... |
1,116,691,498,983 | arxiv | \section{Introduction}
The goal of this note is the announcement
of the results in \cite{GGP13}
and their extension
to smooth anisotropic total variation energies.
Furthermore,
we give a slightly different
exposition of the technically demanding proof of
the comparison theorem.
In an arbitrary dimension $n\geq 1$
we... |
1,116,691,498,984 | arxiv | \section{Introduction}
In this paper, we present a framework for a Planck-scale,
cosmological, background-independent theory which is holographic in
a sense appropriate to a quantum spacetime. This is motivated by the
fact that the formulations of the holographic principle given to
date\cite{thooft-holo}-\cite{ot... |
1,116,691,498,985 | arxiv |
\section{Conclusion}
\label{sec:concl}
We have described and measured the memory topology of two different high-end
machines using Intel and AMD processors.
These measurements demonstrate that NUMA effects exist and require engineering
beyond that normally employed to achieve good locality and cache use.
Further... |
1,116,691,498,986 | arxiv | \section{Introduction}
\label{intro}
The convenience of wireless networks in supporting mobility and ease of deployment has made them extremely popular. These networks convey data in the order of a couple of exabytes per month, and in the next five years, this number is expected to grow at least one order of magnitude... |
1,116,691,498,987 | arxiv | \section{Introduction}
As additional options of e$^+$e$^-$ linear colliders,
feasibility studies for e$^-$e$^-$ , e$^-\gamma$~ and $\gamma \gamma$~
colliders have become active in recent years.
For linear colliders, detailed knowledge of beam-beam
interaction is important
to estimate backgrounds in the detecto... |
1,116,691,498,988 | arxiv | \section{Introduction}
The problem of quasi-local mass in general relativity is the problem of determining a reasonable notion of mass
associated to a closed spacelike $2$-surface.
Over the years, there have been many candidates for a suitable quasi-local mass, and while each of them has physical motivations, they do... |
1,116,691,498,989 | arxiv | \section{Introduction}
This note concerns how Solyanik estimates may be used to establish local H\"older continuity estimates for the Tauberian functions associated to the Hardy-Littlewood and strong maximal operators in the context of Muckenhoupt weights. In \cite{hp14b}, Hagelstein and Parissis used Solyanik estim... |
1,116,691,498,990 | arxiv | \section{Introduction}
\IEEEPARstart{T}{he} magnetoelectric (ME) effect has raised great interest in the recent years because of its potential use in smart electronic application~\cite{scott2012, zhang2016, he2014, abderrahmane2012}. Beside the research for intrinsinc magnetoelectric alloys, relevant advances have been... |
1,116,691,498,991 | arxiv | \section{Introduction}
Relativity and quantum mechanics underlie much of modern fundamental physics.
While both are highly successfully in their own regimes, serious problems arise combining the two.
The Standard Model excellently describes three of the fundamental forces, while gravity is left as the black sheep, only... |
1,116,691,498,992 | arxiv | \section{Introduction}
\subsection{Classification of $\SL(n,{\bf{R}})$-actions}
\label{subsec:intro.classification}
Any smooth---even continuous,---faithful action of $\SL(n,{\bf{R}})$ on an
$(n-1)$-dimensional manifold is the transitive action on ${\bf
S}^{n-1}$, and the only other nontrivial action is the quotie... |
1,116,691,498,993 | arxiv | \section*{#1}%
\else
\vspace{.05in}\footnotesize
\parindent .2in
{\upshape\bfseries #1. }\ignorespaces
\fi}
{\if@twocolumn\else\par\vspace{.1in}\fi}
\newenvironment{keywords}{\begin{@abssec}{\keywordsname}}{\end{@abssec}}
\newenvironment{AMS}{\begin{@abssec}{\AMSname}}{\end{@abssec}}
\newen... |
1,116,691,498,994 | arxiv | \section{Introduction}\label{sec:introduction}
The tunneling effect is peculiar to quantum mechanics and
no counterparts exist in classical mechanics.
Quantum tunneling plays a role and actually manifests in various situations
ranging from atomic and molecular physics to
various phenomena in condensed phases.
In ... |
1,116,691,498,995 | arxiv | \section{Introduction}
The idea of grand unification was proposed shortly after the Standard Model (SM) of elementary particles was completely formulated based on the gauge group ${\rm SU}(3)_c\times {\rm SU}(2)_L \times {\rm U}(1)_Y$ \cite{Glashow:1961tr,Weinberg:1967tq,Salam:1968rm,SU(3),Fritzsch:1973pi}. Grand unifi... |
1,116,691,498,996 | arxiv | \section{Introduction}
Recently Bourgain-Brezis \cite{MR2293957} and Lanzani-Stein \cite{MR793239} established the following $L^1$ Sobolev inequality (or Gagliardo-Nirenberg inequality) for differential forms: If $u$ is a smooth compactly supported $q$ form on $\mathbb{R}^n$ and $q \ne 1$ nor $n-1$, then
$$
\|u\|_{L^... |
1,116,691,498,997 | arxiv | \section{Introduction}
\noindent Assume that $\Omega\subset\mathbb{R}^{n}$ is a bounded
domain with piecewise smooth boundary $\partial\Omega$ in an
$n$-dimensional Euclidean space $\mathbb{R}^{n}$, $\nu$ is the
outward unit normal of the boundary $\partial\Omega$ and $l$ is a
positive integer. Let $\Lambda_{i... |
1,116,691,498,998 | arxiv | \section{Introduction}
Although the problem of constructing an exact solution in the
Brans-Dicke (BD) theory, that may be considered a generalization
of Vaidya solution\cite{vaidya}, has been addressed in the
past\cite{antecedentes}, this solution has not been found yet.
That generalization must reduce to Vaidya so... |
1,116,691,498,999 | arxiv | \section{Introduction}
The proof on infinitude of primes of Euclid indicates that the following inequality
\[ p_{n+1}<p_{1}p_{2}\cdots p_{n} \]
holds for $ n\ge 2 $, where $ p_{i} $ denotes the $ i $-th prime. This can be regarded as the beginning of the study of inequalities of prime numbers. A natural motivatio... |
1,116,691,499,000 | arxiv | \section{Introduction}
\markboth{\centerline{\it Introduction}}{\centerline{\it D.T.V.~An
and N.D.~Yen}} \setcounter{equation}{0}
Investigations on differentiability properties of the \textit{optimal value function} and of the \textit{solution map} in parametric mathematical programming are usually classified as... |
1,116,691,499,001 | arxiv | \section{Introduction}
{\bf Question}.
Let $B$ be the round ball in the standard symplectic ${\mathbb{R}}^{2n}$. {\it Is there an embedded Lagrangian disc $\Delta\subset {\mathbb{R}}^{2n}\setminus \Int B$ with
$\partial \Delta\subset\partial B$ such that $\partial \Delta$ is a Legendrian submanifold and $\Delta$ tra... |
1,116,691,499,002 | arxiv | \section{Introduction}
\label{sec:Intro}
Biological examples provided the original motivation lying behind the Kuramoto
model (KM) of coupled phase oscillators \cite{Strogatz_sync}. However, neither
the original model \cite{Kuramoto_book}, nor any of its extensions
\cite{Acebron_review}, have incorporated a f... |
1,116,691,499,003 | arxiv | \section{Introduction}
Gauge field theories, such as the Maxwell equations and the Yang-Mills equations, arise in important physical theories to describe electromagnetism and the weak and strong interactions, and are to some extent mathematically related to the Einstein vacuum equations in General Relativity. Indeed, ... |
1,116,691,499,004 | arxiv | \section{Introduction}
Deep learning systems are currently attracting a huge amount of interest, as they see continued success in practical applications. Students who want to understand this new technology encounter two primary challenges.
First, the theoretical foundations of the field are not always easy for a typi... |
1,116,691,499,005 | arxiv | \section{Introduction}
In this paper we consider the problem of analytic continuation of a
germ of a holomorphic map sending a real analytic hypersurface into
another such hypersurface in the special case when the target
hypersurface is real algebraic but of higher dimension. Our principal
result is the following.
\b... |
1,116,691,499,006 | arxiv | \section{\label{sec:intro}Introduction}
Colloids are two-phase systems comprising a phase homogeneously dispersed throughout a continuous medium. The dispersed phase can be observed in the form of droplets, particles or bubbles depending on whether it is a liquid, solid or gas, respectively. Similarly, the dispersing p... |
1,116,691,499,007 | arxiv | \section{Introduction}
In this letter we provide a simple proof of a conjectured formula of
\cite{OU93}, whose notation we will be following, for some phases
$\epsilon(\tau_j,i)$ which appear in the description of the
principal vertex operator construction \cite{KKLW81} of the level one
representations of a simply-lac... |
1,116,691,499,008 | arxiv | \section{Introduction}
The branch-and-cut (B\&C\xspace) paradigm is a hybrid of the branch-and-bound (B\&B\xspace) \cite{LanDoi60}
and cutting plane methods~\cite{Gomory58,Gomory60solving,Gomory63}.
It is central to a wide range of modern global optimization approaches~\citep{burer2008quadbrach,al1987lcpbranch}, partic... |
1,116,691,499,009 | arxiv | \section{Introduction} \label{Sec:Intro}
The equation of state (EOS) of classical or quantum fluids characterizes completely the thermodynamic behavior of the system, by providing unique informations about the fundamental properties of the fluids at finite temperature~\cite{book,Huang}, such as their behavior at the p... |
1,116,691,499,010 | arxiv | \section{The Model, and Results}
Consider the set $\cal W$ of all self-avoiding polygons (i.e.,
closed self-avoiding loops) on the square lattice with
periodic boundary conditions, $L = ({{\Bbb Z}}/ v {{\Bbb Z}})^2$,
with $v$ a fixed positive integer.
The energy $E(w)$ of polygon $w$ in $\cal W$ is defined as the n... |
1,116,691,499,011 | arxiv | \section{Introduction}
Young's lattice is a prototypical example of a differential poset
which was first defined by Stanley \cite{StaD, StaV}.
The Robinson correspondence is
a correspondence between permutations and
pairs of standard tableaux whose shapes are the same Young diagram.
This correspondence was generalized ... |
1,116,691,499,012 | arxiv | \section{Introduction}
\label{sec:intro}
The prehistoric stars whose formation epochs lie beyond the redshift
accessible by the Hubble Ultra Deep Field, have been found en masse in
little satellites around the Milky Way. Other less fortunate dwarf
galaxies have been pulled apart by gravity to furnish the diffuse
Galac... |
1,116,691,499,013 | arxiv | \section{Introduction
The ability to explain the rationale behind a decision is widely seen as one of the basic skills needed by an autonomous agent to truly collaborate with humans.
At the very least we would want our autonomous teammates to be capable of explaining why a particular action/plan was chosen to achieve ... |
1,116,691,499,014 | arxiv | \section{Introduction}
\label{Sec:Introduction}
Many modern iterative methods such as block relaxation methods, multigrid methods, and domain decomposition methods for linear systems belong to Schwarz methods, also known as subspace correction methods.
Because of this fact, constructing an abstract convergence theory f... |
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