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1,314,259,996,363 | arxiv | \section{Introduction}
Termination of higher-order term rewriting
systems~\cite[Chapter~11]{Terese2003} has been an active area of
research for several decades.
One powerful method, introduced by v.d. Pol \cite{Pol1993,pol:96},
interprets terms into \emph{weakly monotonic algebras}. In later work
\cite{FuhsKop2012,Ko... |
1,314,259,996,364 | arxiv | \section{Introduction}\label{introduction}
Text in the wild comes in a variety of shapes. However, linear text arrangements, be it horizontal or rotated (as defined by multi-oriented text datasets like ICDAR2015\cite{karatzas2015icdar} and MSRA-TD500\cite{yao2012detecting}) dominate existing popular datasets such as I... |
1,314,259,996,365 | arxiv | \section{Introduction}
Spins in semiconductor quantum dots are envisioned as essential building blocks of future quantum processors and other quantum technologies\cite{Vandersypen2017, Loss1998, DiVincenzo2000, Hanson2007, Zwanenburg2013}. Their distinctive features include the possibility to be assembled in dense arr... |
1,314,259,996,366 | arxiv | \section{Tensor-based MRNSD derivation}
\label{sec:mrnsdderivation}
Suppose $\T{C} = e^{\T{Z}}$
meaning $\T{C}_{ij}^{(k)} = e^{\T{Z}_{ij}^{(k)}}$. We then compute the
search direction $\T{S}$ by computing the gradient of \ref{eqn:mrnsd formulation} as follows:
\begin{eqnarray}
\T{S} &=& \nabla_{\T{Z}} \left(\fra... |
1,314,259,996,367 | arxiv | \subsection*{\bf \large References}}
\newcommand{\tikzcircle}[2][orange,fill=orange]{\tikz[baseline=-0.5ex]\draw[#1,radius=#2] (0,0) circle ;}%
\begin{document}
\title{Nonlinear magnetoelectric effect in atomic vapor}
\author{Sushree S. Sahoo}
\email{ssahoo@tifrh.res.in}
\affiliation{National Institute of Sc... |
1,314,259,996,368 | arxiv | \section{Introduction}
We consider the Dirichlet problem for the generalized H\'{e}non equation
\begin{equation}\label{1.4}
\left \{
\begin{aligned}
-\Delta u &=|x|^\alpha |u|^{p-2}u&&\qquad \text{in $\B$,}\\
u&=0&&\qquad \text{on $\partial \B$,}
\end{aligned}
\right.
\end{equation}
where $\B \subset \R^N,N\... |
1,314,259,996,369 | arxiv | \section{Introduction}\label{secIntro}
In this paper we address the following question which will soon be explained in detail.
\begin{que}
Which sparseness types of Hermitian (or real symmetric) matrices can be diagonalized by QR-type algorithms?
\end{que}
Let $M_\lambda$ denote the set of all Hermitian matrices of ... |
1,314,259,996,370 | arxiv |
\section{Introduction}
Quantitative description of the reggeization of QCD
still remains a challenge for the Leading Logarithmic
scheme and its extensions \cite{firsta,firstb}.
In the first approximation the problem separates into sectors with
fixed number $n$ of the reggeized gluons propagating in the $t$ channe... |
1,314,259,996,371 | arxiv | \section{Introduction}
We classified in \cite{BCS} all non-symplectic automorphisms of prime order $p$ acting on \ihskcom i.e. fourfolds which are deformation equivalent to the Hilbert scheme of two points of a smooth $K3$ surface, for $p=2,3$ and $7\leq p\leq 19$. Our classification relates certain invariants of the ... |
1,314,259,996,372 | arxiv | \section{Introduction}
\label{label_section_Introduction}
The Fermi Paradox is the apparent absence of evidence for extraterrestrial intelligence (ETI) in our galaxy, or at least in our local neighborhood, despite calculations suggesting that galactic colonization should be feasible within the age of the galaxy. Nume... |
1,314,259,996,373 | arxiv | \section{Introduction}
The solar neutrino anomaly has been more and more strongly
established both in
its experimental~\cite{homestake,kamiokande,sage,gallex,superkam}
as well as in its theoretical~\cite{JBahcall,BP95,BP98,reviewSSM} aspect.
In fact, both have presented a very dynamical evolution.
{}From one side,... |
1,314,259,996,374 | arxiv | \section*{Introduction}
\label{intro}
In this article, we study the subvarieties with nonsingular real loci of a smooth projective real algebraic variety $X$. We consider their classes in the Chow groups of~$X$ and whether their real loci can approximate a fixed $\mathcal{C}^{\infty}$ submanifold of $X(\mathbb R)$.
L... |
1,314,259,996,375 | arxiv | \section{Introduction}\label{sec:introduction}}
\IEEEPARstart{D}{eep} learning has revolutionized computer vision by providing an effective solution to address a wide range of tasks (e.g.\@\xspace, classification, depth estimation, semantic segmentation, etc.).
The rise of a common framework has allowed incredible... |
1,314,259,996,376 | arxiv | \section{Introduction}
A long standing question~\cite{Rudolph1976} asks whether the set of algebraic knots, those that are links of isolated singularities of complex curves, is linearly independent in the knot concordance group. Following Rudolph's initial work~\cite{Rudolph1976}, Litherland~\cite{Lith} used sig... |
1,314,259,996,377 | arxiv | \section{Introduction}
The ability to perform quantum error correction (QEC) by feedback is a crucial step towards fault-tolerant quantum computation \cite{Nielsen2004, Terhal2015quantum}. An open challenge, that has drawn considerable interest recently\cite{Kerckhoff2010,Fowler2012,Fujii2014}, is to find the best str... |
1,314,259,996,378 | arxiv | \section{Introduction}\label{sec:intro}
\begin{figure}[h]
\centering
\includegraphics[width = 0.95\linewidth]{Fig/intro.pdf}
\caption{As an MLP model, our method performs even better than GNN models on \texttt{Pubmed}\xspace, but with a much faster inference speed. GRAND~\citep{grand} is one of the SOTA GNN... |
1,314,259,996,379 | arxiv | \section*{APPENDIX A: The derivation of Eq.~(8) from Eq.~(4)}
In the following, we give the details about the derivation of Eq.~(8) from Eq.~(4). Following the same procedure as that in Eqs.~(7.21-7.23) in Ref.~\cite{th1952}, the series expansion of the cumulant CFW $\ln \chi(v)$ can be straightforwardly expressed as ... |
1,314,259,996,380 | arxiv | \section{Introduction}
Brownian motion \cite{brown, lange} and the fluctuation-dissipation theorem \cite{kubo} stand until today as two of the most important subjects within non-equilibrium statistical mechanics. Its intersections and contributions spread over many branches of science and in particular at high energ... |
1,314,259,996,381 | arxiv | \section{Supplemental Material for "Dirac magnons pairing via pumping"}
\section{Ferromagnet on a honeycomb lattice}
\begin{figure}[h]
\centerline{
\includegraphics[width=0.19\textwidth,height=0.14\textheight]{honeySM.pdf}
}
\protect\caption{Schematics of the honeycomb lattice. Ferromagnetic order is assumed ... |
1,314,259,996,382 | arxiv | \section{Introduction}
\label{Introduction}
The spin-$\frac{1}{2}$ Heisenberg antiferromagnet (HAFM) has long been
studied as a simple example of a strongly interacting quantum many-body
system~\cite{manousakis91}. Recently, it has attracted considerable attention
in the context of the copper oxide high-temperature
s... |
1,314,259,996,383 | arxiv | \section{Introduction}
In a typical scenario for recommender systems, a lot of data is available about interactions between users and items, such as users purchasing products or listening to songs, where each user interacts with only a handful of the items in the catalog – e.g. no user is going to play every song in a... |
1,314,259,996,384 | arxiv | \section{Introduction}
What is the inherent parallelism of higher-order functional programs?
Is it possible to turn $\lambda$-terms into low-level programs, at the
same time exploiting this parallelism? Despite great advances in very
close domains, these questions have not received a definite answer,
yet. The main dif... |
1,314,259,996,385 | arxiv | \section{\large Introduction}
The vigorous study of general linear groups and more generally algebraic ${\K}$-theory was
stimulated in mid-sixties by the desire to solve Serre's problem
on projective modules ({\it cf.} Faisceaux Alg\'ebriques Coherent, 1955). This prominent problem in commutative algebra as... |
1,314,259,996,386 | arxiv | \section*{Introduction}
Since their invention in the 1960s \cite{Townes58, Maiman60}, lasers have been the backbone of modern optics, playing fundamental roles in optical sciences and technologies. For a coherent light source, wavelength tunability is one of the most important specifications, underlying crucially many ... |
1,314,259,996,387 | arxiv | \section{Introduction}
The system of charged quantum particles interacting with a constant magnetic field continues to attract intensive studies and is without a doubt one of the most investigated quantum systems, mainly motivated by condensed matter physics and quantum optics. A review article devoted to this quant... |
1,314,259,996,388 | arxiv | \section{Conclusion and Future Work}
\label{sec:conclusion}
In this paper, we propose $(P^{3}FitRec)$, a Multi-layer MLP and Multi-layer Bi-LSTM based framework that provides personalized fitness recommendations with privacy preservation. Our $(P^{3}FitRec)$ employs Tensor Decomposition to infer entity embeddings from... |
1,314,259,996,389 | arxiv | \section{Introduction}
Task-oriented dialogue has a wide range of applications to handle everyday tasks such as booking hotels, movie tickets and restaurants, etc. The system for supporting these tasks mostly adopts a pipelined modular architecture, which usually contains a natural language understanding (NLU) module ... |
1,314,259,996,390 | arxiv | \section*{Preliminary geometry of elliptic trajectories}
\noindent Let $S$ and $S'$, separated by $SS'=2c$, be the foci of an ellipse $(E)$, described by a celestial body $P$ (a planet), that is impelled by a force tending toward a center of force $S$ (a star). Figure~\ref{geometry}. Draw the principal circle $(C_... |
1,314,259,996,391 | arxiv | \section*{}
\vspace{-1cm}
The concept of the ``empty liquid state'' has been formulated over a decade ago \cite{Bianchi2006} and since then a substantial amount of work has been published to identify and rationalize this phenomenon in framework of the patchy colloidal models
\cite{Tavares2009,Russo2011a,Russo2011b... |
1,314,259,996,392 | arxiv | \section{Introduction}
Given a finite set $A\subset{\mathbb{N}}$, one can define the \textit{sum set}, and respectively the \textit{product set}, by
$$A+A:=\{a+b:a,b\in{A}\}$$
and
$$AA:=\{ab:a,b\in{A}\}.$$
The Erd\H{o}s-Szemer\'{e}di \cite{ES} conjecture states, for all $\epsilon>0$,
$$\max{\{|A+A|,|AA|\}}\gg{|... |
1,314,259,996,393 | arxiv |
\section{Stopping rule for \\anonymous workers}
\label{sec:unweighted}
We start with a simpler case when workers are anonymous, in the sense that there is no prior information on which workers are better than others. Absent such information, we treat all workers equally: essentially, we give each worker's vote... |
1,314,259,996,394 | arxiv | \section{Introduction}
Global surfaces of section are an important tool to reduce the dynamics of flows on 3-manifolds to the dynamics of surface diffeomorphisms.
According to Ghys \cite{Ghys-09} global surfaces of section in their simplest form are a paradise for dynamicists.
In fact, just the existence of global surf... |
1,314,259,996,395 | arxiv | \section{Introduction}
Many online companies earn money from auctions, selling advertisement
space or other items. One widely used auction paradigm is second-price
auctions with reserve \citep{easley}. In this paradigm, the company
sets a {\em reserve price}, the minimal price at which they are
willing to sell, before... |
1,314,259,996,396 | arxiv | \section{Introduction}
\label{sec:introduction-2}
At the end of the last century, the astronomical observations of high redshift
type Ia supernovae (SNIa) indicated that our universe is not only expanding, but also
accelerating, which conflicts with our deepest intuition of gravity. With some
other observations, such ... |
1,314,259,996,397 | arxiv | \section{INTRODUCTION}
\label{sec:introduction} The world population is becoming older
fast. As a
consequence the age-related spending is projected to rise
dramatically in the coming decades in all the developed countries.
Increasingly governments in the developed world realize they cannot
afford paying sufficien... |
1,314,259,996,398 | arxiv | \section{Introduction}
The idea that star formation may be self--propagating or self--triggering is an old one, going back at least to \cite{1977ApJ...214..725E}. There are several other mechanisms acting on a range of scales which may trigger star formation, e.g. the mergers of galaxies \citep[e.g][]{1992ApJ...400..15... |
1,314,259,996,399 | arxiv | \section{Introduction}
Consider how a newborn baby learns to walk. Initially, the baby still lacks motor skills to move around. Nevertheless, she can actively move her eyes around to collect abundant visual data, with which she can potentially learn a predictive model that predicts how she should move her eyes from on... |
1,314,259,996,400 | arxiv | \section{Introduction}
The dynamics of turbulent flows is usually described via macroscopic dynamical laws, the Navier-Stokes equations (NSE), derived from the mesoscopic Boltzmann equation \cite{Esposito1999}. They accurately describe the dynamics of averaged quantities over spatial scales much larger than the mean fr... |
1,314,259,996,401 | arxiv | \section{Introduction}\label{sec1}
Let $K$ be a field complete with respect to a discrete valuation whose residue field $k$ is finite and of characteristic $p$, where $p$ is a fixed prime. In other words, $K$ is a local field, and we denote by $G_K = \operatorname{Gal}(\bar{K}/K)$ the local Galois group. Recall that a ... |
1,314,259,996,402 | arxiv | \section{Introduction}
By referring to \textsc{Cauchy} \cite[(1841)]{cauchy1841} \textsc{Peano} introduces in \emph{Applicazioni geometriche del calcolo infinitesimale} \cite[(1887)]{peano87} the concept of \emph{strict derivative} of set functions. The set functions
considered by him are not precisely finite additiv... |
1,314,259,996,403 | arxiv | \section{Introduction}
Positive definite kernels are studied for their
manifold applications. In this paper we consider
a special type of kernels $K$ defined on the free
semigroup on $N$ generators
with the property that
$$K(\alpha \sigma ,\tau )=K(\sigma , I(\alpha )\tau )$$
for any words $\alpha ,\sigma ,\tau $, ... |
1,314,259,996,404 | arxiv | \section{Introduction}
When we look at the night sky, we see that galaxies seem to be arranged in a particular way. One might expect that galaxies
would be distributed randomly, much as grains of sand would if you threw a handful across the floor, but instead, they seem to
trace elegant structures; galaxy clusters ... |
1,314,259,996,405 | arxiv | \section*{Abstract}
The antithetic integral feedback motif recently introduced in \cite{Briat:15e} is known to ensure robust perfect adaptation for the mean dynamics of a given molecular species involved in a complex stochastic biomolecular reaction network. However, it was observed that it also leads to a higher vari... |
1,314,259,996,406 | arxiv | \section{\label{sec:level1}Introduction}
High resolution studies of atomic Rydberg states in the presence of
external static electric and magnetic fields have proved to be
exceedingly fruitful for the investigation of atomic dynamics
because, owing to the large radial extent and weak binding of atomic
Rydberg levels,... |
1,314,259,996,407 | arxiv | \section*{Introduction}
\subsection*{Background and Motivation}
Derived algebraic geometry has provided significant new insights into the theory of algebraic moduli spaces. Classical moduli spaces are often pathological and singular but can be realised as truncations of smooth derived spaces. One tool which has proven... |
1,314,259,996,408 | arxiv | \section{Related Work}
\label{rw}
In this section, we provide a brief review of the related work.
\subsection{Learning in Dynamic Environments}
One of the popular classic statistical models for handling dynamic time series-based streams is the autoregressive moving average (ARMA). However, ARMA and its integrated vers... |
1,314,259,996,409 | arxiv | \section{Introduction}
An array containing symbols $\symb{0}$ and $\symb{1}$ is given.
We would like to determine which of the two symbols $\symb{0}$ and $\symb{1}$
appears more often in this array.
The challenge is to perform this task in a local, uniform and decentralized fashion,
that is, by means of a cellular auto... |
1,314,259,996,410 | arxiv | \section*{Introduction}
In their biologically active form, RNA molecules are folded in
fairly well defined three dimensional structures \cite{PDB}. These
structures are strongly constrained by the pairing of conjugate
bases along the sequence, but depend also on the ionic strength of
the solution \cite{MD}. It has prov... |
1,314,259,996,411 | arxiv | \section{Introduction}
How much influence does the personality of a \gls{ceo} have on their company's performance? The personal news and antics of famous \glspl{ceo} like Elon Musk, Jeff Bezos, or Bill Gates make headlines, and their personalities sometimes generate a cult-like following. But what measurable effect do ... |
1,314,259,996,412 | arxiv | \section{Introduction}
Differential equations are used for an enormous variety of applications, including industrial design and weather prediction. In fact, many of the main applications of supercomputers are in the form of large systems of differential equations \cite{super}. Therefore quantum algorithms for solving ... |
1,314,259,996,413 | arxiv | \section{Radial Velocity}
\label{sec:1}
The radial velocity of a star with $N$ companions is given by $ v (t) = \gamma +
v_0 (t) $, where $ \gamma $ is a drift due to the global shift of
the system center of mass, and\cite{Hilditch_2001}
\begin{equation}
v_0 (t) = \sum_{j=1}^{N} K_j \left( e_j \cos \omega_j + \cos (... |
1,314,259,996,414 | arxiv | \section{Introduction and statement of results}
Cluster algebras are a family of combinatorially-defined commutative algebras which were introduced by Fomin and Zelevinsky at the turn of the millennium to axiomatize and generalize patterns appearing in the study of dual canonical bases in Lie theory \cite{FZ02}. Sinc... |
1,314,259,996,415 | arxiv | \section{Conclusion}
\label{sec:conclusion}
In this work, we show the limitation of current sequence-level learning objective in captioning tasks from both theoretical and empirical aspects.
From the theoretical aspect, this objective is equivalent to maximizing the generalized precision of the predicted caption set, ... |
1,314,259,996,416 | arxiv | \section{Introduction}
It is commonly believed that the hard X-ray emission in solar flares is
produced by the bremsstrahlung process of energetic electrons in dense layers
of the solar atmosphere (Brown 1971; Tandberg-Hanssen \& Emslie 1988).
It is also known that up to now this scenario has several unresolved drawb... |
1,314,259,996,417 | arxiv | \section{Introduction}
\label{sec1}
Storage systems are under continuous cyber attacks like ransomware,
which have become endemic. It is extremely important to protect these
systems using the most advanced tools in key
distribution. The Shamir secret sharing scheme~\cite{s}, adapted to the cyber
challenges of the prese... |
1,314,259,996,418 | arxiv | \section{Introduction}
One of the tasks at the Large Hadron Collider (LHC) is to discover some new physics. In models of it, one or more charged Higgs bosons can be predicted. For example, in the 2-Higgs Doublet Model (2HDM), there are two complex Higgs doublets. After Electro-Weak Symmetry Breaking (EWSB), there are ... |
1,314,259,996,419 | arxiv | \section{The Arctic Ocean}
The Arctic Ocean is subject to changes e.g.\,as shrinking sea ice
extent and the additional thinning of the ice. Warm impulses of water from
the Atlantic Ocean are circulating in the Arctic basins.
Water from the Pacific Ocean transports internal energy (``oceanic
heat'') through Bering Str... |
1,314,259,996,420 | arxiv | \section{Introduction}
\label{sec:Intr}
Theoretical calculations by the lattice quantum chromodynamics (LQCD) approach show that the quark-gluon plasma (QGP) phase, which is chirally restored and color deconfined, is formed at critical conditions of high energy density ($\epsilon \sim 1 $ GeV/$\mathtt{fm}^3$ ) and te... |
1,314,259,996,421 | arxiv | \section{Introduction} \label{secIntro}
Percolation \cite{LanCon94,CarLec01} is one of the easiest of the statistical models to simulate numerically. As such, it provides an excellent testing ground for uncovering how conformal invariance arises at critical points. Upon varying the probability of a lattice site or b... |
1,314,259,996,422 | arxiv | \subsection{SDN in Industrial Networking}
\subsection{FastReact - Sensor Packet Parsing and Processing}
\label{ssec:history}
When a sensor packet enters the \emph{FastReact} switch, we parse the sensor \emph{ID}, extract the sensor value and store it in a time series datastore implemented by custom register arrays. ... |
1,314,259,996,423 | arxiv | \section{Introduction}
\subsection{Background}
A central theme of complex dynamics is that of linearization, that is, conjugating a mapping near a fixed point to a simpler mapping. The idea is that it is then easier to see how the mapping behaves near the fixed point. For example, if $p$ is a polynomial in $\mathbb{C... |
1,314,259,996,424 | arxiv | \section{Introduction}
Due to numerous applications in autonomous vehicles and robotics
perception, immersive media processing, 3D graphics, etc., 3D Point
Clouds have emerged to be a popular form of representation for 3D vision
tasks. Research and development on point cloud data processing has
attracted a lot of atte... |
1,314,259,996,425 | arxiv | \section{Introduction}
Planetary nebulae (PNe) are valuable tracers of stellar populations in
all types of galaxies. They are widely used as distance indicators, via
the invariant bright cutoff of the PN luminosity function
\citep[PNLF; e.g.][]{c02}, and as tracers of the luminosity \citep{bu06},
dynamics \citep[e.g.... |
1,314,259,996,426 | arxiv | \section{Theoretical calculations}
Events with an isolated photon (prompt photon) are an important tool
to study hard interaction processes since such photons
emerge without the hadronisation phase.
In particular, final states with a
prompt photon together with a jet are directly sensitive
to the quark content of the... |
1,314,259,996,427 | arxiv | \section*{Introduction}
Data science in general and more specifically signal and image processing relies on mathematical methods, with the fast Fourier transform as the most prominent example.
Besides its favourable computational complexity, its success relies on the good approximation of smooth functions by trigonome... |
1,314,259,996,428 | arxiv | \section{introduction}
There are many possible platforms to realize quantum computation~\citep{steane1998quantum,preskill2018quantum,bennett2000quantum},
e.g., cold atoms~\citep{weiss2017quantum,negretti2011quantum,briegel2000quantum,garcia2005quantum},
trapped ions~\citep{garcia2005quantum,haffner2008quantum,benhel... |
1,314,259,996,429 | arxiv | \section{Introduction}
In this paper, we investigate the numerical approximation
to the following time dependent problem:
given a bounded Lipschitz polygonal domain $\Omega$, a final time ${\mathsf T}>0$,
an initial value $v\in L^2(\Omega)$ (a complex valued Sobolev space)
and a forcing function $f\in L^\infty(0,{... |
1,314,259,996,430 | arxiv | \section*{Introduction}
In a certain generation many people, all around the world, received
their first lesson in Western musical scales from Julie Andrews when
she and the von Trapp children sang `do-re-mi..' in `{\em The Sound
of Music}'. In India, what surprised the uninitiated is the
equivalence ... |
1,314,259,996,431 | arxiv | \section{Introduction}
Cluster algebras were introduced by S. Fomin and A. Zelevinsky
\cite{FZ} in order to develop a combinatorial approach to study
problems of total positivity in algebraic groups and canonical bases
in quantum groups. The link between cluster algebras and
representation theory of quivers were first ... |
1,314,259,996,432 | arxiv | \section{Introduction}
Discrete-time quantum walks (DQWs) correspond to the one-particle sector of quantum cellular automata \cite{Arrighi2019, Farrelly20}.
They can simulate numerous physical systems, ranging from particles in arbitrary Yang-Mills gauge fields \cite{AMBD16} and massless Dirac fermions near black ho... |
1,314,259,996,433 | arxiv |
\section{Introduction}
The existence of a unique minimal \emph{deterministic} acceptor is an important property of regular languages. Establishing a similar result for \emph{non-deterministic} acceptors is significantly more difficult, but nonetheless of great practical importance, as non-deterministic automata (NFA... |
1,314,259,996,434 | arxiv | \section{Introduction}\label{section-Introduction}
We consider the following nonlinear heat equation (NLH)
\begin{equation}
\label{NLH}
\left\{ \begin{array}{l}
u_t=\Delta u + |u|^{p-1}u,\\
u(.,0)=u_0\in L^\infty (\R^N,\R),
\end{array} \right.
\mbox{ }
\end{equation}
where $p>1$ and $u(x,t):\R^N\times [0,T)\to \... |
1,314,259,996,435 | arxiv | \section{Introduction}
In the big data era, it is necessary to spread the machine learning tasks across multiple servers and transform centralized systems into distributed ones~\cite{verbraeken2020survey}. These distributed systems confront new challenges and one of the unsolved challenges is privacy~\cite{PMP4MLDS18}... |
1,314,259,996,436 | arxiv | \section{Introduction}
Index coding is a canonical problem in network information theory with close connections to many important problems such as network coding \cite{effrosrouayheblangberg15} and distributed storage \cite{Shanmugam--Dimakis2014}. Index coding aims to find the optimal broadcast rate and optimal codin... |
1,314,259,996,437 | arxiv | \section{Introduction}
As Adamchik has expressed \cite{Adamchik2002} (cf.\ \cite{CampbellChen2022}), there is a great history concerning the study of series of the
following form:
\begin{equation}\label{Sfunction}
S(r) = \sum_{k=0}^{\infty} \left( \frac{1}{16} \right)^{k} \binom{2k}{k}^2
\frac{ 1 }{ k + r }.
... |
1,314,259,996,438 | arxiv | \section{Introduction}
\label{sec:intro}
The third observing run (O3) of the Advanced LIGO \citep{adLIGO} and Virgo \citep{adVirgo} detectors has brought the number of compact binary merger observations up to 90 events with
a probability of astrophysical origin
$>0.5$ \citep{gwtc1,gwtc2, gwtc21, gwtc3_catalogue}. In p... |
1,314,259,996,439 | arxiv | \section{Matrix Facts}
\newtheorem*{fact:ne}{Fact~\ref{lem:ne}}
\begin{fact:ne}
\lemne
\end{fact:ne}
\begin{proof}
Compared with Lemma~B.2 of~\cite{cohen2017almost},
we need to show that under the condition
\eq{2\xx^\top\AA\yy
\leq \xx^\top\UU\xx + \yy^\top\UU\yy,
\qquad
\forall \xx, \yy \in \Real^n,}... |
1,314,259,996,440 | arxiv | \section{Introduction}
Let $p$ be a prime, $q$ be a power of $p$, and $k$ be a positive integer. An {\it $[n,k,d]$-linear code} ${\mathcal C}$ is a $k$-dimensional subspace of $\F_q^n$ with
minimum distance $d$. Each element in ${\mathcal C}$ is called a {\it codeword}. If any cyclic shift of each codeword in ${\mat... |
1,314,259,996,441 | arxiv | \section{Norwegian homicide law and the documentary evidence}\label{sec2}
This paper studies the number of
killings in Norway in the period 1300--1569, that is, the last fifty
years of Norway's High Middle Age, through the Late Middle Ages, and a
generation or so into the Early Modern Age. The extant written data... |
1,314,259,996,442 | arxiv | \section{Introduction}\label{s:intro}
Cosmic inflation is the standard paradigm that provides the initial conditions for structure formation and the anisotropies in cosmic microwave background (CMB) as well as the global properties of the spacetime \cite{Starobinsky:1980te, Sato:1980yn, Guth:1980zm}. In the inflation... |
1,314,259,996,443 | arxiv | \section{Introduction} \label{sec:intro}
To simulate the propagation of ocean waves and wave interaction with marine or coastal structures various modeling approaches can be invoked, depending on the assumptions that can be made. In the most general case, the surface waves have to be considered as nonlinear and dispers... |
1,314,259,996,444 | arxiv | \section*{Acknowledgements}
\label{sec:acknowledgements}
We wish to thank Tancredi Carli, Brian Cole, Peter Jacobs, Christian
Klein-B\"osing, Michelangelo Mangano, Mateusz Ploskon, Sevil Salur,
Peter Steinberg and Urs Wiedemann, for helpful conversations, comments
and additional information.
This work was supported in... |
1,314,259,996,445 | arxiv | \section{Introduction}
Recently, there has been a growing interest in the adiabatic
theorem \cite{Messiah} in the context of quantum information, in
particular for fault tolerant holonomic quantum computation
\cite{Zanardi}, and for the design of quantum adiabatic
algorithms \cite{FarhiGold,Farhi}. In this paper,... |
1,314,259,996,446 | arxiv | \section{Introduction}
The Muskat equation is an important model in the analysis of free surface flows, which
describes the dynamics of the interface separating two fluids whose velocities obey
Darcy's law (\cite{darcy1856fontaines,Muskat}).
Its two main features are that it is a fractional parabolic equation
and a... |
1,314,259,996,447 | arxiv | \section{Introduction}
This paper considers the long-standing problem of Bayesian variable selection
in a linear regression model. Variable selection is a complicated task in high
dimensional settings where the number of regression parameters $P$ is much
larger than the number of observations $N$. In this context, it... |
1,314,259,996,448 | arxiv | \section{Introduction}
Despite its proximity and wealth of existing observations, the origin of the radio and $\gamma$-ray emission from the Galactic Center remains controversial. Previous attempts at modeling the observed $\gamma$-ray spectrum have focused their efforts on unresolved point sources or dark matter \ci... |
1,314,259,996,449 | arxiv | \section{Introduction}
Regression learning is increasingly used in mission-critical systems: In medicine for the development of pharmaceuticals \cite{ekins2019exploiting, Kuchler2019},
in the financial sector for predictive analysis, such as managing hedge funds \cite{Wigglesworth_2019,Porzecanski_2019} and cash foreca... |
1,314,259,996,450 | arxiv | \section{Introduction}
Plasma science has an admirable track record as an enabling technology that underpin our modern society and has the potential to make wide-ranging contributions to address many societal challenges~\cite{roadmap2012,roadmap2017}. Technologies based on low-temperature plasmas (LTPs) are ubiquitous ... |
1,314,259,996,451 | arxiv | \section{Introduction}
This document is a model and instructions for \LaTeX.
Please observe the conference page limits.
\section{Notation}
\subsection{$k$-th order distribution induced by $P_{X^n}$}
\label{subsection kth order distribution induced}
For a random $n$-tuple $X^n$, we let $Q_{X}^{\sf{ave}, (n)}$ denote... |
1,314,259,996,452 | arxiv |
\section*{Acknowledgement}
The author would like to thank Shiri Chechic, Quentin Godfroy, Merav Parter, and
Jukka Suomela for valuable discussions. This material is based upon work
supported by the National Science Foundation under Grant Nos.\ CCF-AF-0937274,
CNS-1035199, 0939370-CCF and CCF-1217506,\linebreak the AFO... |
1,314,259,996,453 | arxiv | \section{Introduction}
In this paper we
show the following
\begin{thm}\label{thm1.1}
Let $C$ be an $n$-dimensional complex torus embedded in a complex manifold $M$ of dimensional $n+d$. Assume that $T_CM$, the restriction of $TM$ on $C$, splits as $TC\oplus N_C$. Suppose that the normal bundle of $C$ in $M$ admits t... |
1,314,259,996,454 | arxiv | \subsubsection*{#1}}
\newenvironment{univ}{\begin{quote}}{\end{quote}}
\newcommand{\,}{\,}
\renewcommand{\theenumi}{\roman{enumi}}
\newcommand{\hfill\ensuremath{\Box}}{\hfill\ensuremath{\Box}}
\newenvironment{prooflike}[1]{\begin{trivlist}\item\textbf{#1}\ }
{\end{trivlist}}
\newenvironment{proof}{\begin{prooflike}{P... |
1,314,259,996,455 | arxiv | \section{Introduction}
A study of the field--strength distribution between static quark and
antiquark yields a detailed picture of the string formation and helps to
understand the mechanism of confinement. In particular, comparing the field
distributions with those of the dual Meissner model one can clarify the
viabil... |
1,314,259,996,456 | arxiv | \section{Introduction}
In order to appreciate the important role of the idea of simplicity, it is worth reviewing one of the most
challenging open questions, concerning our understanding of science.
Most scientists believe that the main goal of their work, namely that of finding {\em better theories} than those
repre... |
1,314,259,996,457 | arxiv | \subsection{#1}}
\newcommand{\sctOne}[1]{\subsubsection{#1}}
\newcommand{\BOp}[1]{\widehat{B}_{#1}}
\newcommand{\widehat{G}_0}{\widehat{G}_0}
\newcommand{P_{\mathrm{can}}}{P_{\mathrm{can}}}
\makeatletter
\begin{document}
\title{Emergent centrality in rank-based supplanting process}
\author{Kenji\ Shimomu... |
1,314,259,996,458 | arxiv | \section{Introduction}
\label{1}
Traditionally, a large proportion of distribution network load is supplied by centralized fossil-fired power plants, resulting in considerable emissions of greenhouse gas carbon dioxide \cite{RE2}. The ever-worsening climate change has escalated the urgent need of distributed energy res... |
1,314,259,996,459 | arxiv | \section{Introduction}
\section{Introduction}
Single-layer cuprate oxides $RE_2$CuO$_4$ (where $RE$ means rare-earth) possess three structural isomers. The T'-type isomer has \color{black} four oxygens coordinated around the Cu ion, the T*-type has five, and the T-type has six. Historically, all forms of $RE_2$CuO$_4... |
1,314,259,996,460 | arxiv |
\section{Introduction}
The Early Anthropogenic Hypothesis considers that the natural evolution of climate consisted in a decline in greenhouse gas concentrations throughout the Holocene, leading today to conditions favourable to accumulation of ice in the Northern Hemisphere (\citet{Ruddiman11aa} and references ther... |
1,314,259,996,461 | arxiv | \section{Introduction: Constraints on the Gauss-Bonnet Parameter}\label{1}
The Einstein-Gauss-Bonnet (EGB) gravity in $D$-dimensions in the presence of a negative cosmological constant $\Lambda$ is given by the action \cite{BD} (in the units $c=G=1$)
\begin{equation}
I_\text{EGB}=\frac{1}{16\pi} \int \text{d}^D x \sqr... |
1,314,259,996,462 | arxiv | \section{Introduction}
It is a well established fact that galaxy properties such as
morphology and colour depend on environment -- red, early-type
galaxies are usually found in denser regions of the universe, whereas
the field is dominated by blue, late-type galaxies. The dependence of
the galaxies' appearance on the l... |
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