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2,869,038,153,828 | arxiv | \section{Introduction}
\label{intro}
The combinatorial theory of convex polytopes has provided
mathematicians with interesting problems since antiquity. Some of
these problems concern skeleta of polytopes and their
connectivity; see for instance \cite{Ka1}. Balinski's theorem
\cite{Ba} (see also Theorem \ref{thm:ba}) ... |
2,869,038,153,829 | arxiv | \section{Introduction}
Please follow the steps outlined below when submitting your manuscript to
the IEEE Computer Society Press. This style guide now has several
important modifications (for example, you are no longer warned against the
use of sticky tape to attach your artwork to the paper), so all authors
should r... |
2,869,038,153,830 | arxiv | \section{INTRODUCTION}
It is well known that quantum information tasks. e. g. quantum
cryptography, quantum encoding \cite{bin,Metwally2011} and quantum
computation \cite{Nilsen}. require pure states to be implemented
with high efficiencies. However, decoherence is an inevitable
process due to the interaction with the ... |
2,869,038,153,831 | arxiv | \section{Introduction}
OLYMPUS is a particle physics experiment comparing the elastic cross section
for positron-proton scattering to that of electron-proton scattering \cite{Milner:2013daa}. This
measurement has been of interest recently because it tests the hypothesis that
hard two-photon exchange is responsible f... |
2,869,038,153,832 | arxiv | \section*{Abstract}
{\bf
We verify Standard Model Effective Field Theory Ward identities
to one loop order when background field gauge is used to quantize the theory.
The results we present lay the foundation of next to leading order automatic generation of results
in the SMEFT, in both the perturbative and non-perturb... |
2,869,038,153,833 | arxiv | \section{Introduction}
In this paper we study analogues of the classical Poisson limit theorem in the noncommutative probability framework set by bm-independence. Our study can be considered as parallel to the results of Crismale, Griseta and the second-named author \cite{CGW2020} and \cite{CGW2021}, where the weakly m... |
2,869,038,153,834 | arxiv | \section{Introduction}
Neural keyphrase generation \cite{Meng2017Deep, Chen2018Keyphrase}, a conditioned Sequence-to-Sequence (Seq2Seq) approach for automated keyphrase extraction, has recently shown a promising result as another domain for exploring latent aspects of Seq2Seq models \cite{sutskever2014sequence, cho2014... |
2,869,038,153,835 | arxiv | \section{Introduction}
\subsection{Previous work}
In 1962 B\"uchi was the first to introduce finite automata on infinite words. He needed them to solve some fundamental decision problems in mathematics and logic (\cite{B62}, \cite{M66} \cite{R69}). They became a popular area of research due to their elegance and the... |
2,869,038,153,836 | arxiv | \section{Conclusions}
The scaling exponents $\tau=1.75$, $\phi_{I}=0.67$ and $\phi_{II}=1.33$
are different from the Zipf's result on word frequency where the
exponents are $\tau=2.0$ and $\phi=1.0$.
The power-law relation between $N$ and $S$ and it's exponent
$\chi=0.65$ observed in family name distribution seem t... |
2,869,038,153,837 | arxiv | \section{Introduction}\label{s_int}
Let $\hol(\bd)$ denote the space of holomorphic functions on the
unit ball $\bd$ of $\cd$, $d\ge 1$.
For $0< p < \infty$ and $f\in\hol(\bd)$, the standard integral means $\mpf_p (f, r)$
are defined as
\[
\mpf_p (f, r) = \left( \int_{\spd} |f(r\za)|^p \, d\sid(\za)\right)^\fra... |
2,869,038,153,838 | arxiv | \section*{Figure Captions}
\end{center}
\begin{enumerate}
\item[Fig.1]
The unit cell of our model one-dimensional
semiconductor, where the slowly varying applied potential
$\Delta (V_{\rm ext}+V_{\rm H})$, that changes the
interacting electron density by $\Delta n$,
is the most linear.
Both $\Delta V_{{\rm eff,1}}$ a... |
2,869,038,153,839 | arxiv | \chapter{How Overlap Determines the Macronuclear Genes in Ciliates}
}
\begin{abstract}
Formal models for gene assembly in ciliates have been developed, in
particular the string pointer reduction system (SPRS) and the graph
pointer reduction system (GPRS). The reduction graph is a valuable
tool within the SPRS, reveali... |
2,869,038,153,840 | arxiv | \section{Introduction}
\label{sec:intro}
There are many well-known algorithms to detect sources in imaging
data, from simple identification of connected pixels above a threshold
(\citealt{bertin}, \citealt{irwin}), through matched filtering
(\citealt{stetson}, \citealt{tegmark}, \citealt{herranz_matched}) to
wavele... |
2,869,038,153,841 | arxiv |
\section{Introduction}\label{intro}
Operational semantics is a standard de facto to defining the semantics of programming languages \cite{PLOTKIN}.
However, producing a programming language definition is still a hard task. It is not surprising that theoretical and software tools for supporting the modeling of langu... |
2,869,038,153,842 | arxiv | \section{Introduction\label{sec:Introduction}}
Using massive tadpole diagrams significant progress has been made in the
improved prediction of various physical quantities. They have, e.g.,
contributed to an amazingly precise
relation between quark masses (in particular the
top-quark mass $M_t$), the mass of the Higgs ... |
2,869,038,153,843 | arxiv | \section{ Introduction}
The anharmonic oscillator is a physical system generalizing the simple
linear harmonic oscillator $\frac{d^{2}x}{dt^{2}}+\omega _{0}^{2}x(t)=0$,
where $x(t)$ is the position coordinate, $t$ is the time, and $\omega _{0}$
is the oscillation frequency. In general, the time evolution of the space
... |
2,869,038,153,844 | arxiv | \section{Introduction}\label{intro}
\subsection*{A brief background} All graphs in this paper are finite and simple.
Treewidth is a well-studied graph parameter, of great interest in both structural and algorithmic graph theory. It was notably featured in the seminal work of Robertson and Seymour on graph minors \cit... |
2,869,038,153,845 | arxiv | \section{Introduction}
We say that a graph $G$ is \emph{$H$-free} if $G$ does not contain any induced subgraph isomorphic to $H$. For $n\geq 1$, denote by $K_n$ the complete graph on $n$ vertices. A \textit{subdivision} of a graph $G$ is obtained by subdividing its edges into paths of arbitrary length (at least one). ... |
2,869,038,153,846 | arxiv | \section{Introduction}
\IEEEPARstart{I}n the big data era, the world has witnessed the explosive growth of data-intensive applications.
IDC predicts that the volume of global data will reach a staggering 175 Zettabytes by 2025~\cite{IDC_18}.
Modern distributed storage systems, e.g., Amazon Simple Storage Service (S3)~... |
2,869,038,153,847 | arxiv | \section{Introduction}
In this note, we point out that compressed quadtrees can be built via
randomized incremental construction. Compressed quadtrees are simple
geometric data-structure. Despite their simplicity, they are
surprisingly useful for carrying out various geometric tasks, see
\cite{h-gaa-08}.
The first r... |
2,869,038,153,848 | arxiv | \subsection{Couette flow}
The first test is a Couette flow through two parallel plates without a pressure gradient. The distance between the plates is $h=1$. The top plate moves at velocity of $u_x=u_0=0.1$ in the streamwise dierection and the bottom plate is fixed. If $x$ stands for the streamwise direction and $y$ f... |
2,869,038,153,849 | arxiv | \section{Introduction}
The B7 V star $\zeta^2$ Coronae Borealis (HD 139892, HR 5834, ADS
9737 A; $\alpha(2000) = 15^{\rm h}39^{\rm m}22\fs 66$, $\delta(2000) =
+36\arcdeg 38\arcmin 9\farcs 26$) has been known to be a double-lined
spectroscopic binary since the work of \cite{pla25}. $\zeta^2$ CrB{} is the
brighter c... |
2,869,038,153,850 | arxiv | \section{ INTRODUCTION }
You might drive a car in a foreign city and have to stop at many red
traffic lights. From the statistics of waiting times you probably can
quickly figure out which signals operate independently and which ones
operate the smart way with inductive-loop traffic detectors in a
so-called... |
2,869,038,153,851 | arxiv | \section*{Introduction}
\bigskip
In this paper we investigate some consequences of the Gross/Zagier
type formulae which were introduced by Gross and Zagier and then
generalized in various directions by Hatcher, Zhang, Kudla and
others \cite{GZ,Gross,Hatcher1,Zhang,MSRI}. Let us now recall these
formulae in the classic... |
2,869,038,153,852 | arxiv | \section{The big question}
Every compact group admits a unique translation-invariant probability measure, namely its (normalized) Haar measure. In this note we discuss the question of whether every compact group has a non-Haar-measurable subgroup, henceforth referred to as \emph{the big question}. Our main result is t... |
2,869,038,153,853 | arxiv | \section{Introduction}
Historically the first publication on the subject of deformed Heisenberg algebra was Snyder's paper \cite{Snyder47} where
the Lorentz-covariant
deformed Heisenberg algebra leading to a quantized
space-time was proposed. For a long time there were only a few papers on this
subject. The inte... |
2,869,038,153,854 | arxiv | \section{Introduction and Statement of Results}\label{intro}
For a positive integer $n$, a {\it partition} of $n$ is a non-increasing sequence of positive integers that sum to $n$, where each summand is called a {\it part}. The partition function $p(n)$ counts the number of partitions of $n$, and we define $p(0)=1$. ... |
2,869,038,153,855 | arxiv | \section{Conclusion}
This paper proposea a Perturbed Estimated Gradient Descent Algorithm with only access to the zeroth-order information of objective function. With only estimated gradient information, we prove the second-order stationary point convergence of the algorithm and provide the convergence rate. This is t... |
2,869,038,153,856 | arxiv | \section*{Acknowledgements}
E.C. and D.K. acknowledge the support of the Bulgarian-JINR collaborative Grant,
E.C. is grateful to Grant 08-17/2016 of the Bulgarian Science Foundation and
D.K. acknowledges the support of the Bogoliubov-Infeld Program.
D.K. thanks also A. Kotlorz for useful comments on numerical analysis.... |
2,869,038,153,857 | arxiv | \section{Introduction}
Throughout this article, $R$ denotes a commutative ring with $1 \neq 0$. In 2007, A. Badawi introduced the concept of 2-absorbing ideals of commutative rings as a generalization of prime ideals. He defined an ideal $I$ of $R$ to be 2-absorbing if whenever $a, b, c \in R$ and $abc \in I$, then $... |
2,869,038,153,858 | arxiv |
\section*{Acknowledgements}
\noindent We express our gratitude to our colleagues in the CERN
accelerator departments for the excellent performance of the LHC. We
thank the technical and administrative staff at the LHCb
institutes.
We acknowledge support from CERN and from the national agencies:
CAPES, CNPq, FAPE... |
2,869,038,153,859 | arxiv | \section{Inert Doublet Model}
A number of astrophysical observations based on gravitational interactions point to
the existence of dark matter (DM) in the Universe, which can not be described with
the Standard Model.
One of the simplest extensions of the Standard Model which can
provide a dark matter candidate is the ... |
2,869,038,153,860 | arxiv | \section{Introduction}
In the present paper, a more general notion of weight called
\textit{admissible} is introduced. For such types of weights, we
study the weighted strong laws of large numbers (SLLN) on
vector-valued $L_p$-spaces. If one considers a particular cases of
the introduced weights, we recover the earlie... |
2,869,038,153,861 | arxiv | \section{Introduction}
Instantons in vacuum Einstein gravity were subject of intense
investigations since the late seventies, which culminated in their
complete topological classification \cite{inst}. Instantons in
extended supergravities are non-vacuum and typically involve
multiplets of scalar and vector field... |
2,869,038,153,862 | arxiv | \section{Introduction}
\subsection{Lengths statistics of random multicurves in large genus}
Let $X$ be a closed Riemann surface of genus $g \geq 2$ endowed with its conformal hyperbolic metric of constant curvature $-1$. A \emph{simple closed curve} on $X$ is a connected closed curve on $X$, non-homotopic to a point an... |
2,869,038,153,863 | arxiv |
\section{Setup}\label{appendix:setting}
This section details our experimental setup for reproducibility, including dataset information and training details for the various baselines and proposed RealPatch framework. The code is made available at \url{https://github.com/wearepal/RealPatch}.
\subsection{Dataset}
Follow... |
2,869,038,153,864 | arxiv | \section{Acknowledgments}
\bibliographystyle{ACM-Reference-Format}
\section{Introduction}
The emergence of serverless computing has extensively simplified the way that developers access cloud resources. Existing serverless computing platforms, such as AWS Lambda, Google Cloud Functions, and Azure Functions, have ena... |
2,869,038,153,865 | arxiv | \section{Introduction}
Many subsurface applications in porous media ranging from groundwater and contaminant hydrology to $\mathrm{CO_2}$ sequestration rely on physical models
\citep{middleton2015shale,choo2018cracking,yu2020poroelastic,kadeethum2019investigation,bouklas2012swelling,newell2017investigation,kadeethum20... |
2,869,038,153,866 | arxiv | \section{Introduction}
Regression models, frequently based on machine learning concepts~\cite{fernandez2019extensive} like support vector machines~\cite{chang2011libsvm}, decision trees~\cite{loh2011classification}, random forests~\cite{breiman2001random} or neural networks~\cite{lathuiliere2019comprehensive} are comm... |
2,869,038,153,867 | arxiv | \section{Introduction}
A natural question with a long history in group theory is whether an infinite group must have an infinite number of conjugacy classes of elements. In 1949, Higman-Neumann-Neumann constructed an infinitely generated group with only a finite number of conjugacy classes. Subsequently, S. Ivanov con... |
2,869,038,153,868 | arxiv | \section{Introduction}
\label{sec:intro}
The notion of an analytic, free or non-commutative,
map arises naturally in free
probability,
the study of non-commutative (free) rational functions
\cite{BGM,Vo1,Vo2,AIM,KVV},
and
systems theory \cite{HBJP}.
In this note
rigidity results for such fu... |
2,869,038,153,869 | arxiv | \section{Introduction}
Promoted by the European Telecommunications Standards Institute (ETSI), network function virtualization (NFV) has become a cornerstone of the envisaged architecture for 5G systems \cite{mijumbi2016network}. NFV leverages virtualization technologies in order to implement network functionalities o... |
2,869,038,153,870 | arxiv | \section{Introduction}
Within the standard unified scheme for active galactic nuclei (AGN), radio galaxies
are seen at relatively large inclination angles between the observer and the jet
axis \citep{1995PASP..107..803U}. Since most of the optical emission from the central engine is
shielded by the dusty torus, they... |
2,869,038,153,871 | arxiv | \section{Bug Fixes}
Among the bugs fixed were soundness bugs, which are all mentioned below. These
tend to be obscure, and most are not generally encountered by users; but we
consider them particularly important to fix. Among the other bugs
fixed, we mention here only a few of the more interesting ones.
Thus we beg... |
2,869,038,153,872 | arxiv | \section{History and definitions}
The history of Brownian motion was described a number of times. In 1905, Einstein established his celebrated formula
$$
\overline{\Delta X^2} = \frac{RT}{N}\frac{1}{3\pi\mu a} \Delta t
$$
for spherical particles of radius $a$ suspended in a liquid of viscosity $\mu$ at temperature $T$... |
2,869,038,153,873 | arxiv | \section{Introduction}
In the past decades complex networks and their behavior have attracted much attention. In the real world many of such networks can be found, for instance as social, information, technological and biological networks. An interesting property that many of them share is that they are {\em scale free... |
2,869,038,153,874 | arxiv | \section*{Introduction}
Let $K$ be an imaginary quadratic field and
$\mathcal{O}_K=\mathbb{Z}[\theta]$ be the ring of integers with
$\theta$ in the complex upper half plane $\mathfrak{H}$. We denote
the Hilbert class field and the ray class field modulo $N$ of $K$
for a positive integer $N$ by $H$ and $K_{(N)}$, ... |
2,869,038,153,875 | arxiv | \section{\bf Introduction}\label{}
Throughout this paper, let $\mathbb{R}^n_{+}=\{x\in \mathbb{R}^n;x\geq0\}$, and $\mathbb{R}^n_{-}=\{x\in \mathbb{R}^n;x\leq0\}$, and $\mathbb{R}^n_{++}=\{x\in \mathbb{R}^n;x>0\}$, and $e=(1,1,\cdots,1)^T$, and $x^{[m]} = (x_1^m, x_2^m,\cdots, x_n^m)^T$ for $x = (x_1, x_2,\cdots, x_n... |
2,869,038,153,876 | arxiv | \section{Introduction}\label{sec-1}
A spectral measure is a projection operator-valued measure defined on a measurable space,
where a projection operator means an orthogonal projection operator on some Hilbert space.
Given a bounded measurable function $f$ and a spectral measure $\pi$ on a measurable space $(\math... |
2,869,038,153,877 | arxiv | \section{Introduction}
\thispagestyle{empty}
In 1924 Banach and Tarski~\cite{Banach-Tarski-original} decompose a solid ball into five pieces, and reassemble them into two balls using rotations. That is now called the Banach-Tarski paradox. Von Neumann~\cite{Neumann1929} observes that the reason for this phenomenon is... |
2,869,038,153,878 | arxiv | \section*{Abstract}
We consider the correction of errors from nucleotide sequences produced by next-generation targeted amplicon sequencing. \textcolor{\bhlplosrevisioncolor}{The next-generation sequencing (NGS) platforms can provide a great deal of sequencing data thanks to their high throughput, but the associated e... |
2,869,038,153,879 | arxiv | \section{Introduction}\label{sec:intro}
\noindent Contraction theory is a methodology for assessing the global convergence of trajectories of a dynamical system to each other instead of convergence to a pre-specified attractor.
Given a vector norm
with its induced matrix norm, the \textit{Logarithmic norm} of a line... |
2,869,038,153,880 | arxiv |
\section{The DataScope Approach}
\label{sec:approach}
We summarize our main theoretical contribution in \autoref{sec:approach-overview}, followed by the characteristics of ML pipelines to which these results are applicable (\autoref{sec:approach-characteristics}).
We further discuss how we can approximate many real-... |
2,869,038,153,881 | arxiv | \section{INTRODUCTION}
With the rapid development in networking technologies, distributed optimization over multi-agent networks has been a heated research topic during the last decade, where agents aim to collaboratively minimize the sum of local functions possessed by each agent through local communication. Compa... |
2,869,038,153,882 | arxiv | \section*{Acknowledgement}}{}
\newenvironment{romenumerate}[1][-10pt]
\addtolength{\leftmargini}{#1}\begin{enumerate
\renewcommand{\labelenumi}{\textup{(\roman{enumi})}}%
\renewcommand{\theenumi}{\textup{(\roman{enumi})}}%
}{\end{enumerate}}
\newcounter{oldenumi}
\newenvironment{romenumerateq
{\setcounter{oldenumi... |
2,869,038,153,883 | arxiv | \section{Introduction}
\label{sec:intro}
Machine learning models have improved over time at prediction and classification, especially with the advances made in deep learning and availability of large amounts of data. These gains in predictive power have often been achieved using increasingly complex and \emph{black-box... |
2,869,038,153,884 | arxiv | \section{Introduction}
The {\it IJCAI--20 Proceedings} will be printed from electronic
manuscripts submitted by the authors. These must be PDF ({\em Portable
Document Format}) files formatted for 8-1/2$''$ $\times$ 11$''$ paper.
\subsection{Length of Papers}
All paper {\em submissions} must have a maximum of six pag... |
2,869,038,153,885 | arxiv |
\section{Introduction}
\label{sec:introduction}
\input{introduction}
\section{Problem Statement}
\label{sec:problem_def}
\input{problem_def}
\section{Methodology}
\label{sec:methodology}
\input{methodology}
\section{Implementation Details}
\label{sec:implementation}
\input{implementation_details}
\section{Result... |
2,869,038,153,886 | arxiv | \section{Introduction}
A polymer solution is in itself an inhomogeneous system of segment concentration, which is due to the fact that monomers are joined by chemical bonds. The concentration is highest at the center of gravity, but decreases rapidly with increasing distance from the center. This inhomogeneity gives ri... |
2,869,038,153,887 | arxiv | \section{Introduction}\label{introduction}
{\bf Introduction} -- The search for the Higgs boson
is entering a critical phase. Data collected at the LHC
rules out the SM Higgs boson for a wide range of masses
and may suggest a Higgs boson with mass near $125$
GeV~\cite{ATLAS:2012ae, Chatrchyan:2012tx}.
Searches f... |
2,869,038,153,888 | arxiv | \section{Introduction}
\IEEEPARstart{A}{}gricultural food products naturally vary in their detailed internal structure. Individual samples can be analyzed to assess product quality, predict maturity state and minimize waste. To facilitate early detection of health risks, it is crucial to apply an inspection procedure ... |
2,869,038,153,889 | arxiv | \section{Introduction}\label{intro}
Inelastic collisions are the process that a part of the initial kinetic energy
of colliding bodies is distributed into the internal degrees of freedom.
Although it is believed that the relative speed of colliding two bodies
decreases after a collision,
the event that the relativ... |
2,869,038,153,890 | arxiv | \section{Introduction and context}
\label{SEC:Intro}
Mathematical Software, i.e. tools for effectively computing mathematical objects, is a broad discipline: the objects in question may be expressions such as polynomials or logical formulae, algebraic structures such as groups, or even mathematical theorems and their ... |
2,869,038,153,891 | arxiv | \section{Introduction}
In recent years the multiplier ideals and the log canonical
threshold have played an important role in higher dimensional
birational geometry (see e.g. \cite{Laz}). These are invariants of
singularities in characteristic zero, that can be defined in terms
of log resolutions of singularities. Sup... |
2,869,038,153,892 | arxiv | \section{\label{sec:intro}Introduction}
Quantum mechanics is based on the postulate that all physical observables must correspond to the real eigenvalues of quantum mechanical operators.
For a long time this assertion had been considered to be equivalent to the requirement of the Hermiticity of the operators.
The situa... |
2,869,038,153,893 | arxiv | \section{Introduction}
Evolutionary game theory, introduced in the 70s by Jonker and Taylor \cite{taylor1978evolutionary} and Maynard Smith \cite{smith1982evolution},
is a beautiful mix of biology and game theory.
Each player in some population interact repeatedly with other players by playing a game,
obtaining a p... |
2,869,038,153,894 | arxiv | \section{Introduction}\label{sec1}
Generalized linear mixed models (GLMMs) have become a popular and very
useful class of statistical models. See, for example, \citet{Jia07},
McCulloch, Searle and Neuhaus (\citeyear{McCSeaNeu08}) for some wide-ranging accounts of
GLMMs with theory and applications. In the earlier... |
2,869,038,153,895 | arxiv | \section{Introduction}
The collapsar model
for a gamma ray burst invokes a presence of an
accretion torus around a newly born black hole (Woosley 1995;
Paczy\'nski 1998; MacFadyen \& Woosley 1999).
The accretion energy is being transferred to the jet that propagates through
the collapsar envelope and at some distance... |
2,869,038,153,896 | arxiv | \section{\@startsection{section}{1}{\z@}{1.5ex plus 0.5ex minus
1.2ex}{1.3ex plus .1ex}{\normalsize\bf}}
\def\subsection{\@startsection{subsection}{2}{\z@}{1.5ex plus 0.5ex minus
1.2ex}{1.3ex plus .1ex}{\normalsize\em}}
\def\@sect#1#2#3#4#5#6[#7]#8{\ifnum #2>\c@secnumdepth
\def\@svsec{}\else
\refstepc... |
2,869,038,153,897 | arxiv |
\section{Introduction}
Full-duplex transmission is the communication scheme where bidirectional communications is carried out over the same temporal and spectral resources~\cite{Ref1}-\cite{Ref11}. The main limitation impacting full-duplex transmission is managing the strong self-interference signal imposed by the tra... |
2,869,038,153,898 | arxiv | \section{\label{sec:intro}Introduction}
Nowadays gamma-ray sources are widely used in numerous applications
from medicine to nuclear physics. Such sources can be based not only
on the radioactivity, bremsstrahlung~\cite{Wagner05} and synchrotron
emission in magnetic field~\cite{Bilderback05} but also on a Compton
sca... |
2,869,038,153,899 | arxiv |
\subsection{Background}
Consider the task of image classification over a set of classes $[K] := \{1,2,\ldots,K\}$, we have tuples of images and labels: $({\bm{x}}, {\bm{y}}) \in {\mathcal{X}}\times{\mathcal{Y}}$, with ${\bm{y}}\in\{0,1\}^K$ to denote one-hot encoded label, and $t \in [K]$ to denote the ground-truth cl... |
2,869,038,153,900 | arxiv |
\section{Introduction}
Efficient exploration and representation learning are two core challenges in reinforcement learning.
An agent that understands how its environment works, in particular the causal structure of the environment, knows the consequences of its behavior and will be able to learn new tasks quickly.
Su... |
2,869,038,153,901 | arxiv | \section{Introduction and key results}
One of the most basic notions of condensed matter physcis is the quantum mechanical problem of a particle in a periodic potential. Yet, there are still quite fundamental questions relating to the physics of Bloch bands that have not been conclusively answered: How can optimally lo... |
2,869,038,153,902 | arxiv | \section{Introduction}
\setcounter{equation}{0}
In operator theory and in the theory of linear systems, the study
of functions analytic and contractive in the open unit disk
(Schur functions) is called Schur analysis. It includes, in
particular, interpolation problems, operator models, and has been
extended to va... |
2,869,038,153,903 | arxiv | \section{Introduction}
\label{section:intro}
Biomedical \emph{systematic reviews} aim to synthesize all evidence relevant to a given clinical query \cite{sackett1997evidence,gough2017introduction}.
Such reviews typically comprise both quantitative and narrative summaries of the evidence.
The former is most often a sta... |
2,869,038,153,904 | arxiv | \section*{ACKNOWLEDGEMENTS}
I wish to thank Robert Myers for his useful
comments and McGill University for their financial support.
|
2,869,038,153,905 | arxiv | \section{Introduction}
\begin{figure}
\includegraphics[width=0.5\textwidth]{f1.eps}
\caption{Images of the Galactic Center with the observed positions indicated by
square boxes upon the radio continuum (log-log scale) imaged at 21 cm imaged by Yusef-Zadeh
\& Morris (1987) with 11" resolution (adapted from Simpson e... |
2,869,038,153,906 | arxiv | \section{INTRODUCTION}
Connected and Automated Vehicle (CAV) technologies have been developed significantly in recent years. CAV would change the mobility system and energy efficiency \cite{Wadud2016}. The mechanisms of the energy efficiency and emission impacts of CAV could be eco-driving \cite{mensing2011vehicle,bark... |
2,869,038,153,907 | arxiv | \section{Introduction}
\label{sec:intro}
Clusters of galaxies are the most massive collapsed objects in the
Universe and sit at the top of the hierarchy of non--linear
structures. They were first identified as over--dense regions in the
projected number counts of galaxies (e.g. \citealt{Abell58},
\citealt{ZW68.1}).... |
2,869,038,153,908 | arxiv | \section{Introduction}\label{sec:intro}
A common taks is the optimization problem
\begin{align}\label{eq:loss}
\argmin_{\theta } \mathbb{E}[L_\theta(X,Y)],
\end{align}
where $L_\theta$ is a generic loss function and the expectation is taken with respect to the joint distribution of $(X,Y)$; e.g.~$L_\theta(x,y)=(x^\... |
2,869,038,153,909 | arxiv | \section{Introduction}
\label{sec:intro}
For effective interaction, robot manipulators must build and refine their understanding of the world through sensing. This is especially relevant in unstructured settings, where robots have little to no knowledge of object properties, but can physically interact with their surr... |
2,869,038,153,910 | arxiv |
\section{Hopper}
\vspace{-10pt}
\label{sec:framework}
\texttt{\textbf{Hopper}}\ (Figure~\ref{fig:hopper}) is a framework inspired from the observation that humans think in terms of entities and relations.
Unlike traditional deep visual networks that perform processing over the pixels from which they learn and extr... |
2,869,038,153,911 | arxiv | \section{Introduction}
Based on AdS/CFT duality and holography, one should be able to calculate different parameters of a boundary CFT by using the dual bulk theory. One such quantity is the complexity of a quantum state where in quantum information context is defined by using the minimum number of simple gates which a... |
2,869,038,153,912 | arxiv | \section*{Introduction}
\label{intro}
Given a number field $F$, let $\mathcal{A}_0 ({\rm GL}_n(\mathbb A_F)) $ be the set of cuspidal automorphic representations for $ {\rm GL}_n(\mathbb A_F) $ with unitary central character. For $\pi \in \mathcal{A}_0 ({\rm GL}_n(\mathbb A_F))$, at any finite place $v$ of $F$ where $... |
2,869,038,153,913 | arxiv | \section{Introduction}
The following two remarkable theorems were proved by H.~Brezis,
J.~Van Schaftingen and Po-Lam~Yung in \cite{hhh3,hhh2}:
\begin{theorem}\label{hjkgjkfhjffgggvggoopikhhhkjhhkjhjgjhhj}
Let $q\geq 1$. Then, for every dimension $N\geq 1$ there exist
constants $c_{N},C_{N}>0$ such that, for every... |
2,869,038,153,914 | arxiv | \section*{\notesname}%
}
\setcounter{MaxMatrixCols}{10}
\newtheorem{theorem}{Theorem}
\newtheorem{acknowledgement}[theorem]{Acknowledgement}
\newtheorem{algorithm}[theorem]{Algorithm}
\newtheorem{axiom}[theorem]{Axiom}
\newtheorem{case}[theorem]{Case}
\newtheorem{claim}[theorem]{Claim}
\newtheorem{conclusion}[theorem... |
2,869,038,153,915 | arxiv | \section{Introduction}
The strongest evidence for dark matter in galaxies comes from extended
neutral hydrogen (HI) rotation curves of galaxies, and especially
amongst all the galaxy types from dwarf Irregulars (dIrrs) rotation curves.
These systems are literally dominated by dark matter, their luminous
matter usually... |
2,869,038,153,916 | arxiv | \section{Introduction}
\IEEEPARstart{F}{or} the development of next generation communication systems, massive multiple-input multiple-output (MIMO) technology has been widely investigated during the last few years \cite{larsson2014massive, haider2014cellular, yongpeng2015secure, lulow2016, You16Channel, overview_LSAS_... |
2,869,038,153,917 | arxiv | \section{Introduction}
Alumina (Al$_2$O$_3$) is considered to play a significant role in dust
formation around oxygen-rich cool stars. Thermodynamic equilibrium
calculations indicate that it, along with titanium oxides, is one of
the earliest condensates in the mineralogical condensation sequence
\citep{1990fmpn.coll.... |
2,869,038,153,918 | arxiv | \section{Introduction}
The concepts of complementary media \cite{pendry2003complementary} (CM) have been applied in many studies\cite{yang2008superscatterer,luo2009conceal,wang2011waveguide,li2010experimental,zhang2010illusion}, and they provide a simple and clear geometric interpretation for the propagation of metama... |
2,869,038,153,919 | arxiv | \section{INTRODUCTION}
Magnetoelectric (ME) effects in multiferroic (MF)
or ferromagnetic (metallic) films have brought
remarkable interest since promising technological
applications in spintronics and ultrafast electric field control
on magnetic data storage are seen as
imminent\cite{Duan},\cite{Gerhard}.
Chara... |
2,869,038,153,920 | arxiv | \section{Introduction}\label{sec:intro}
We analyze convergence and H\"older regularity of multivariate
level dependent (non-stationary) subdivision schemes whose masks
depend linearly on one or several parameters. For this type of
schemes, which include well-known schemes with tension parameters
\cite{BCR2007_1, B... |
2,869,038,153,921 | arxiv | \section{Introduction}
\label{intro}
Discrete integrable systems have attracted a lot of attention in recent years \cite{HJN}. One of the reasons for this comes from physics: many physical models include discreteness at a fundamental level. Another reason for the increased interest in discrete integrable systems comes ... |
2,869,038,153,922 | arxiv | \section{INTRODUCTION}
Secret sharing schemes are important tool used in security protocols.\@ Originally motivated by the problem of secure key storage by Shamir \cite{shamir1979}, secret sharing schemes have found numerous other applications in cryptography and distributed computing.\@ Threshold cryptography \cite{d... |
2,869,038,153,923 | arxiv | \section{Observational cosmology: the renaissance}
Observational cosmology has come a long way since the early days of being ``the science of two numbers''. The
revolution could be traced back to the discovery of the cosmic microwave background (CMB) in 1964 by Penzias and Wilson \citep{1965ApJ...142..419P, 1965ApJ..... |
2,869,038,153,924 | arxiv | \section{The Issue }\label{s: discuss}
Gold \& Soter (1969; GS from here on) originally developed the idea
of thermal tide torques to explain Venus' asynchronous spin rate.
Drawing on their work, \citet{2009arXiv0901.0735A} assesed the
importance of thermal tides for the hot Jupiters. Using the simple
GS prescription ... |
2,869,038,153,925 | arxiv | \section{Introduction} \label{sec:introduction}
In this paper we investigate regularity estimates for weak solutions to nonlocal equations
\begin{equation}\label{eq:PDE}
Lu=f \quad \text{in } Q=(-1,1)^n,
\end{equation}
where $L$ is a nonlinear integro-differential operator of the form
\begin{equation}\label{def:nonlo... |
2,869,038,153,926 | arxiv | \section{Introduction \label{sec:intro} }
Light nuclei at the neutron dripline display exotic properties connected to the large spatial distribution of weakly bound valence neutrons, such as halo and clustering. A special class of halo nuclei are two-neutron halo nuclei like $^6$He, $^{11}$Li and $^{14}$Be, known as Bo... |
2,869,038,153,927 | arxiv | \section{Introduction}
The advent of the Anti-de Sitter/conformal field (AdS/CFT) theory~\cite{Maldacena,Gubser1998,Witten} opens up a new avenue for understanding of the pairing mechanism in the high $T_c$ superconductors which can not be described straightforwardly by the conventional BCS theory~\cite{BCS}.
The t... |
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