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541,165,882,156 | arxiv | \section{Introduction}
\label{sec:intro}
The problem of finding appropriate scales
for playing music
has worried musical theorists and instrument makers
for centuries.
There is a close relationship
between the theory of musical scales
and
the frequency spectra of musical instruments;
indeed,
the harmonic spectr... |
541,165,882,157 | arxiv | \section{Introduction}
The history of fuel cells, the devices that directly convert the chemical energy from reactants such as hydrogen (fuel) and oxygen (oxidant) into electricity, dates back to the 1840s.\cite{groove1842on, hoogers2002fuel, li2005principles} Since then, significant efforts and progress have been mad... |
541,165,882,158 | arxiv | \section*{\refname}}
\begin{abstract}
The Hofstadter-Hubbard model captures the physics of strongly correlated electrons in an applied magnetic field, which is relevant to many recent experiments on Moir\'e materials. Few large-scale, numerically exact simulations exists for this model. In this work, we simulate the... |
541,165,882,159 | arxiv | \section{Introduction}
In \cite{Cro04}, M.\ Crouzeix made the conjecture, henceforth denoted by $(C)$, that for every square matrix $A$ and every
polynomial $p$,
\begin{equation}\label{eq:Cineq}
\|p(A)\| \le 2 \max_{z\in W(A)}|p(z)|,
\end{equation}
where $W(A)=\{ x^*Ax: x^*x =1\}$ is the numerical range of $A$ and ... |
541,165,882,160 | arxiv | \section{Main result}
\label{SectionMain}
\textit{a) Setting -- }Rough paths theory was introduced by T. Lyons in \cite{Lyons98} as a theory of controlled differential equations
\begin{equation}
\label{EqRDE}
\dot x_t = \textrm{F}(x_t)\dot h_t
\end{equation}
with $\textrm{F}\in L(\mathbb{R}^\ell,\mathbb{R}^d)$, and a... |
541,165,882,161 | arxiv | \section{Introduction}
\label{sec:intro}
Bars are common features in today's Universe. Over two-thirds of all nearby disk galaxies are
barred (Sa-Sd) galaxies, including the Milky Way (e.g. \citealt{deVaucouleurs:1963kx, Eskridge:2000cz,
MenendezDelmestre:2007fl, Marinova:2007dp, Sheth:2008bd}).
The Spitzer Survey ... |
541,165,882,162 | arxiv | \section{EXPERIMENT}
All MEIS data were obtained at the UK MEIS facility at STFC
Daresbury Laboratory. The experiments were conducted under
ultra-high vacuum (UHV), with typical base pressures of
$2~\times~10^{-10}$~mbar. Clean Si(100) samples (cut from a
lightly doped n-type wafer) were prepared by {\em e}-beam heati... |
541,165,882,163 | arxiv | \section{Introduction}
A \emph{topological graph} is a graph drawn in the plane
such that vertices are mapped to distinct points and
each edge is mapped to a Jordan arc between its endpoints without passing through any other vertex.
In this paper, we only deal with topological graphs containing neither multi-edges nor... |
541,165,882,164 | arxiv | \section{Introduction}
The components of physical systems often operate on vastly different
space and time scales~\cite*[]{Dolbow04}.
We must somehow simulate such systems on the scale of interest and
operation.
But systems that depend on physical processes at multiple scales pose
notorious difficulties.
These multisc... |
541,165,882,165 | arxiv | \section{Introduction}
\subsection{Mathematical setup and discussion on the major finding}
Let $\Omega$ be a bounded domain in $\mathbb{R}^N$, $N=2, 3$, with a connected complement $\mathbb{R}^N\backslash\overline{\Omega}$ and $\mathbf{n}\in L^\infty(\Omega)$ be a positive function. Consider the following transmissio... |
541,165,882,166 | arxiv | \section{Introduction}
Over the past years, photoinduced properties of two-dimensional systems have been a subject of tremendous study, especially after the
identification of non-trivial topological properties that can be induced by periodic driving fields\cite{NP2011Lindner, PRL2018_Refael,PRB2018_Lindner,PRB2017_Ref... |
541,165,882,167 | arxiv | \section{Introduction}
Research suggests that the microbiome, especially the gut microbiome, could serve as a clinical biomarker for disease diagnosis, prognosis, and treatment. These studies use machine learning to fit a model that can predict a clinical outcome as a function of the gut microbe signature. The accurac... |
541,165,882,168 | arxiv |
\section{Introduction}
\footnotetext[1]{Computer Science Department, University College London, WC1E 6BT London, United Kingdom}\footnotetext[2]{Computational Statistics and Machine Learning - Istituto Italiano di Tecnologia, 16100 Genova, Italy}\footnotetext[3]{Electrial and Electronics Engineering Department, Imperi... |
541,165,882,169 | arxiv | \section{Introduction}
\noindent 1.1 {\it Relativistic Newton equation.}
Consider the Newton-Einstein equation in a static electromagnetic field in an open subset $\Omega$ of $\mathbb R^n,$
$n\ge 2,$
\begin{equation}
\label{1.1}\begin{array}{l}
\dot p=-\nabla V(x)+{1\over c} B(x)\dot x,\\
p={\dot x \over \sqrt{1-{|\d... |
541,165,882,170 | arxiv | \section{Introduction}
Power sums have been studied for a long time, for example by Nicomachus of
Gerasa, who demonstrated that the sum of cubes is the square of a triangular
number, that is
\begin{align}
S_3^{(1)}(n) = \sum_{\nu = 1}^n \nu^3 = \left[ \frac{n(n+1)}{2} \right]^2\,.
\end{align}
This was known to Faulhab... |
541,165,882,171 | arxiv | |
541,165,882,172 | arxiv | \section{Introduction}
\begin{definition}\label{f_tau}
Let $\tau$ be a tiling of the plane. Define a function $f_\tau:\R^2\to\R$ by
\[f_\tau(x)=\begin{cases} \frac{1}{\absolute{T}},& \mbox{there exists a tile } T \mbox{ in }\tau \mbox{ such that } x\in int(T) \\
0 ,& \mbox{ otherwise}\end{cases}\]
where $\absolute... |
541,165,882,173 | arxiv | \section{Introduction}
The common procedure in learning a Probabilistic Graphical Model (PGM) is to maximize the likelihood of observed data,
by updating the model parameters along the gradient of the likelihood.
This gradient step requires inference on the current model, which may be performed using deterministic o... |
541,165,882,174 | arxiv | \section{Introduction}
\hspace{1cm}When gigantic stars fall into pieces at the end of their life cycle, then black holes are formed. Black hole is basically defined as an area in our universe, where gravitational pull is so high that nothing can passed through it \cite{1,2}. It is called as Black because any thing tha... |
541,165,882,175 | arxiv | \section{Introduction}
Saddle point problems occur in a wide variety of applications ranging from mechanics and computational fluid dynamics to constrained optimization \cite{benzi2005numerical}, optimal transport \cite{ELT} and more recently to machine learning with the advent of generative adversarial neural network ... |
541,165,882,176 | arxiv | \section{introduction}
Compounds with crystal structures featuring a rigid covalently
bonded framework enclosing differently bonded guest
atoms attracted much attention in the last decade. In particular
the skutterudite and clathrate families have been investigated in
depth, and a fascinating diversity of physical phe... |
541,165,882,177 | arxiv | \section{Introduction and summary of results}
A remarkable feature of quantum field theory is that a detector undergoing non-inertial
motion might measure excitations related to fluctuations of the quantum vacuum. Roughly
speaking, it detects ``particles" --- or as sometimes said, it {\it clicks} --- even if it is mo... |
541,165,882,178 | arxiv | \section{Introduction}
\label{intro}
The main goal of the heavy ion program is the study of matter under extreme conditions of high energy density, where QCD phase transitions characterized by deconfinement and chiral symmetry restoration (QGP), are expected to occur~\cite{Adams:2005dq,Adcox:2004mh}. To extract the g... |
541,165,882,179 | arxiv | \section{Cutting planes and closures}
A central question in discrete geometry and integer programming is understanding the convex hull of integer points in a polyhedron, both structurally and algorithmically. Motivated by Edmonds' early groundbreaking work in polyhedral combinatorics and combinatorial optimization, Ch... |
541,165,882,180 | arxiv |
\section{Introduction}
\input{introduction.tex}
\section{Related Work}
\input{related_work}
\section{System}
\input{system_description}
\begin{figure}[b]
\centering
\frame{\includegraphics[
width=1\columnwidth]{ui.jpg}}
\caption{System user interface}
\label{fig:UI}
\end{figure}
\inp... |
541,165,882,181 | arxiv | \section{Introduction}
This is the second paper in a series presenting photometric metal abundances of RR Lyrae variable stars in the Magellanic Clouds and their use for chemical and structural analysis. In Kapakos, Hatzidimitriou \& Soszy\'{n}ski (2011, hereinafter Paper I), the results of the Fourier decomposition a... |
541,165,882,182 | arxiv | \section*{Nomenclature}
{\renewcommand\arraystretch{1.0}
\noindent\begin{longtable*}{@{}l @{\quad=\quad} l@{}}
$cap_{\text{launch}}$ & Launch capacity (number of possible satellites per rocket), in units of satellites\\
$D_{\text{plane}}$ & Demand for in-plane spares, in units of satellites\\
$D_{\text{parking}}$ & De... |
541,165,882,183 | arxiv | \section{Introduction}
In this paper we develop further methods introduced by F. Kutzschebauch and
the third author in \cite{KK2} which they used to obtain new results in the
Anders\' en-Lempert theory (\cite{A}, \cite{AL}). D. Varolin was the first
one to realize the importance of the following notion in that theory ... |
541,165,882,184 | arxiv | \section{Introduction}
Deterministic computer models are commonly used to study complex physical phenomena in many areas of science and engineering. Oftentimes, evaluating a computational model can be very time consuming, and thus the simulator is only exercised on a relatively small set of input values. In such cas... |
541,165,882,185 | arxiv | \section{Introduction} \label{sec:intro}
{\sl Gaia}'s early third data release
\citep[EDR3;][]{2020arXiv201201533G} includes astrometric and
photometric measurements of more than 1.81 billion sources brighter
than $G = 21$ mag. More than 1.46 billion have triangulated parallax
measurements with typical uncertainties o... |
541,165,882,186 | arxiv | \section{Introduction}\label{sec:introduction}
\IEEEPARstart{I}{n} recent years, biometric authentication has been widely used as a reliable and convenient way of user identification and access control
\cite{articleJKH}.
Among all types of biometric features (e.g., fingerprint, voice, retina, and palm veins), f... |
541,165,882,187 | arxiv | \section{Introduction}
Consider a machine learning algorithm being used to make decisions in societally critical domains such as healthcare \cite{irene2018why,goodman2018machine}, education \cite{tierney2013fairness}, criminal justice \cite{angwin2016machine,berk2017fairness}, policing~\cite{simoiu2017problem,goel2017c... |
541,165,882,188 | arxiv |
\section{Introduction}
In signal processing applications, the knowledge of scatter matrix is of crucial importance. It arises in diverse applications such as filtering, detection, estimation or classification. In recent years, there has been growing interest in covariance matrix estimation in a vast amount of liter... |
541,165,882,189 | arxiv | \section{Introduction}
First passage percolation is one of the most studied discrete models in probability theory.
It can be realized as a random graph metric when edges have independent identically distributed weights.
Often the distribution is assumed to be exponential and then the ball of a radius $t$ (from a fix... |
541,165,882,190 | arxiv | \section{Introduction}
This paper considers information-theoretic properties of the thinning map,
an operation on the space of discrete random variables, based on random summation.
\begin{definition}[R\'{e}nyi, \cite{R}]
For a discrete random variable $X$ on $\mathbf{Z}_+=\{0, 1, \ldots\}$, the thinning operation $T_\... |
541,165,882,191 | arxiv | \section{Introduction}
Think-aloud protocols (TAs) are widely used in usability testing to identify user experience (UX) problems~\cite{fan2020Survey,mcdonald2012exploring}. During TA usability testing, participants verbalize what they are thinking while working on the task with the test interface. Their verbalization... |
541,165,882,192 | arxiv | \section{Introduction}
Throughout history, the flow of ideas and innovation has led to vast cultural, economic, and political changes. Social scientists have studied this phenomenon in detail in several different settings~\cite{Rogers} and found that ideas and innovations tend to diffuse along social links. First, an... |
541,165,882,193 | arxiv | \section{Introduction}
\label{intro}
Spin-driven multiferroics with complex antiferromagnetic orders, such as spiral or cycloidal spin structures, are in the focus of scientific interest since the last ten years~\cite{Kimura2003, spaldin2005renaissance,cheong2007multiferroics,kimura2007spiral}. Because in this class o... |
541,165,882,194 | arxiv | \section{Introduction}
Star-forming galaxies have evolved dramatically in the 11\,Gyr between $z\sim2.5$ (the likely peak of the star formation history of the Universe) and the present day \citep[e.g.\ ][]{Madau96,Sobral09,Karim11,Sobral14}. The co-moving star formation rate density of the Universe has dropped by more... |
541,165,882,195 | arxiv | \section{Introduction}
Ever since its discovery, the central limit theorem has been considered as one of the most fundamental concepts in probability theory. Corresponding to its motivation of studying the fluctuation of a sum of independent random variables, analogous objects in the random matrix theory stand out: ... |
541,165,882,196 | arxiv | \section{Introduction}
\subsection{Background and perspective}
The Chebotarev density theorem, one of the major number theoretic achievements of the early $20$th century, has been proven to be of crucial importance in a variety of problems.
Beyond knowing the exact asymptotic densities of primes in Frobenius sets, o... |
541,165,882,197 | arxiv | \section{Introduction}
Quantum entanglement plays a central role in characterizing and distinguishing various phases realized in quantum many-body systems.
\cite{Kitaev2006,LevinWen2006,Calabrese0905,Eisert0808}
For example,
quantum entanglement as measured by the bipartite entanglement entropy
may be used to disting... |
541,165,882,198 | arxiv | \section{Introduction}
The main goal of the ALICE \cite{det} experiment is to study strongly interacting matter in the conditions
of high density and temperature produced by colliding ultra-relativistic lead ions at the LHC. In such
conditions lattice QCD calculations predict quark deconfinement and the formation of... |
541,165,882,199 | arxiv | \section{Introduction}
In the past, the neutral-current (NC) reactions in a few tens of MeV were observed in $^{12}$C($\nu, \nu^{\prime}$)$^{12}$C(15.1 MeV, $J^P=1^+$) by the KARMEN experiment~\cite{Karmen} and recently in coherent $\nu$-CsI(Na) scattering by COHERENT Collaboration~\cite{Coherent}. Authors of Refs.~\c... |
541,165,882,200 | arxiv | \section{Introduction}
\label{sec:intro}
The Visual Question Answering (VQA) problem aims to a develop a deep understanding of both vision and language, and the complex interplay between the two, such that a machine is able to answer intelligent questions about a visual scene. The VQA task is inspired by the astounding... |
541,165,882,201 | arxiv | \section{Introduction}
End-to-end automatic speech recognition (ASR) uses a single neural network architecture within a deep learning framework to perform speech-to-text task \cite{graves2014}. There are two major approaches for end-to-end ASR; attention-based approach uses an attention mechanism to create required al... |
541,165,882,202 | arxiv | \section{INTRODUCTION}
\nobreak
N-body simulations of individual galactic halos formed in a standard LCDM cosmology predict thousands of sub-halos orbiting within the main dark halo. Observations find that the numbers of dwarf galaxies per galaxy are at least a factor of ten less numerous than the sub-halos at masses o... |
541,165,882,203 | arxiv | \section{Introduction}
Recall that a Fano double hypersurface of index 1 is defined as a projective algebraic variety $V$ equipped with a morphism $\sigma: V \to Q \subset \mathbb{P}^{M+1} $, where $M \geq 4 $, $\mathbb{P}^{M+1}$ is the complex projective space, $Q$ is an irreducible hypersurface of degree $m$ where $ ... |
541,165,882,204 | arxiv | \section{Introduction}
\subsection{Background}
In the last 15 years, a lot of progress has been made in the classification of measure preserving actions of countable groups on probability spaces, up to orbit equivalence (see the surveys \cite{Sh04, Po07, Fu09, Ga10, Va10}).
Recall that two probability measure preser... |
541,165,882,205 | arxiv | \section{Introduction}\label{sec:intro}
This paper originated as a result of studying the prominent paper \cite{nesterenko_criterion} by Nesterenko, where he proves his linear independence criterion.
Given an integer $n\geq2$, let us fix an arbitrary $n$-tuple $\pmb\theta=(\theta_1,\ldots,\theta_n)\in\R^n$. The... |
541,165,882,206 | arxiv | \section{
\section{Introduction}
The enhancement of brightness temperature around the solar pole is known as polar(-cap) brightening, observed at microwave to submillimetric wavelengths. The phenomenon was first reported by \inlinecite{Babin1976IzKry} with the observation of a raster scan of the solar disk at millimet... |
541,165,882,207 | arxiv |
\section{The Algorithm}
\label{sec:alg}
We define job bundles by coloring due dates in \emph{red} and \emph{blue}. The blue due dates are the bundled ones.
Choose some $\delta\in (0,1)$. For each $k = 1, 2, \ldots D_\#$, color the due date $d_k$ red if $\sum_{J_i \in \calJ_k} p_i > P^{1 - \delta}$. To determine the b... |
541,165,882,208 | arxiv |
\section{Introduction}
Planetary nebulae, as the brightest phase of low-to-intermediate mass stellar evolution, provide the best environments to study the detailed abundances of relatively old, low-mass stars. Planetary nebula spectra contain bright, forbidden lines which are ideal for abundance calculations. In sta... |
541,165,882,209 | arxiv |
\section{Introduction}
Recurrent neural networks (RNNs) have found their way into numerous applications. Still, RNNs have two shortcomings.
First, it is difficult to understand what concretely RNNs learn. Some applications require a close inspection of learned models before deployment and RNNs are more difficult to ... |
541,165,882,210 | arxiv | \section{Introduction}
In this paper we consider the estimation problem as follows. Given a noisy observation
\be
\omega&=Ax+\xi_x\in\bR^m,
\ee{eq:mod1}
of the linear image $Ax$ of unknown signal $x\in\bR^n$, known to belong to a given signal set---a nonempty convex compact set $X\subset\bR^n$, we want to recover ... |
541,165,882,211 | arxiv | \section{Introduction}
Over the last decades the solar corona has been, and continues to be scrutinized and studied in a search for the explanation of its heating mechanism \citep{rosner78,golub80,hendrix96,aschwanden01}. With the advent of the computer, simulations become feasible and the reproduction of observations... |
541,165,882,212 | arxiv | \section{Introduction}
The amount of information required to make sound clinical decisions is enormous and continuously growing~\cite{charlin2012clinical, TheScientist2002}. The combination of patient attributes, laboratory results, imaging---along with patient values and preferences---makes this process very comp... |
541,165,882,213 | arxiv | \section{Introduction}\label{sec:introduction}
Visual information is pervasive in our daily life and has arguably become the primary communication medium in the digital age. Images come from various sources, such as social networks, advertisements, news, and digital documents. A small portion of these images have as... |
541,165,882,214 | arxiv | \section{Introduction}
Some advantages of the cartesian forms for multipole moments in the traditional
formulation of the electromagnetic theory are well known but the procedure
of obtaining multipole tensors corresponding to irreducible representations of the
3-dimensional rotation group, especially in the dyna... |
541,165,882,215 | arxiv | \section{Introduction}
The present paper is devoted to the study of (bounded, self-adjoint) operators
of the form
\begin{align}\label{WH:eq}
W_\a := W_\a(a; \L) := \chi_\L \op_\a(a) \chi_\L,\ \a >0,
\end{align}
on $\plainL2( \mathbb R^d)$, $d\ge 1$,
where $\chi_\L$ is the indicator function of a set $\L\subset \m... |
541,165,882,216 | arxiv | \section{\sc \large #1}}
\def\scss#1{\subsection{\sc #1}}
\def\scsss#1{\subsubsection{\sc \small #1}}
\def\dot\alpha{\dot\alpha}
\def\dot\beta{\dot\beta}
\def\bar\sigma{\bar\sigma}
\thispagestyle{empty}
\begin{document}
\begin{flushright}
ROM2F/2007/10\\
MIFP-07-16\\
hep-th/yymmddd \vskip 8pt {\today}\\
\end{flus... |
541,165,882,217 | arxiv | \section{Introduction}
\label{intro}
The theory of generalized sampling series was first initiated by P. L. Butzer and his school \cite{Stens1} and \cite{Stens2}. Let $\chi :{\mathbb{R}}^2\rightarrow {\mathbb{R}}$ be a suitable kernel function. Then, the two dimensional generalized sampling series of a function $f:{... |
541,165,882,218 | arxiv | \section{\label{sec:Domain-Theoretic-Notions}Basic Domain Theory Notions}
Domain theory is a branch of mathematics that builds on set theory,
order theory (\emph{i.e., }the theory of partially-ordered sets, \emph{a.k.a.},
posets), and topology (\emph{i.e.}, the theory of topological spaces).
It is relatively easy... |
541,165,882,219 | arxiv | \section{Introduction}
The confinement of atoms or molecules in a finite region of space is an
important subject, for example, in the context of quantum dots, encapsulation in
fullerenes, or other aspects of nanotechnology \cite{Sab09}. Confinement in a
cavity has also been used to mimic the effects of high pre... |
541,165,882,220 | arxiv | \section{Introduction}
Inflation \citep{Guth:1980zm,Linde:1981mu,Albrecht:1982wi,Starobinsky:1982ee}
is a hypothetical high-energy process in the very early universe.
It is believed that quantum fluctuations of various fields during
inflation exit the horizon, being seeds of complicated structures
of galaxies no... |
541,165,882,221 | arxiv | \section{Rings that engage analysts.}
\noindent Analytic properties of function spaces over the real and
the complex fields are in some ways different. This is strongly
reflected in these spaces' algebraic properties. For instance, the
ring of real-valued continuous functions on a closed interval such
as $[0,1]$ behav... |
541,165,882,222 | arxiv | \section{INTRODUCTION}
Interfaces are ubiquitous in solid crystalline materials, and can exhibit material properties that are drastically different from their corresponding bulk materials, bringing potential applications in various industrial areas. One example is the discovery of two-dimensional electron gas at perovs... |
541,165,882,223 | arxiv | \section{Introduction}
\label{sec:intro}
In the last decades, molecular simulations have become a cornerstone for computing equilibrium and/or dynamic properties of classical many body systems, as well for bridging microscopic with macroscopic observables that could be of both experimental and basic importances \citep... |
541,165,882,224 | arxiv | \section{Introduction}
In this paper we study a stochastic particle approximation of the two-dimensional parabolic-elliptic Keller-Segel (KS) model that reads
\begin{equation}\label{eq:reducedPDE}
\begin{cases}
&\partial_t \rho(t,x) = \Delta\rho(t,x) - \nabla\left(\rho(t,x) \nabla \left(G \ast \rho\right)(t,x)\right),... |
541,165,882,225 | arxiv | \section{Introduction}
The Dirichlet problem for minimal graphs is one of the classical problems in the theory of nonlinear elliptic PDEs. It has been investigated for over a century, starting with the fundamental work of Bernstein \cite{B}, Haar \cite{H} and Rado \cite{R}, and it has inspired the development of meth... |
541,165,882,226 | arxiv | \section{Introduction}
In recent years, ultra dense network (UDN) has received a great deal of attention as a means to achieve a thousand-fold throughput improvement in 5G wireless communications~\cite{series2015imt}. Network densification can improve the capacity of cellular systems by overlaying the existing macro ce... |
541,165,882,227 | arxiv | \section{Introduction}\label{intro}
Let $L \subset {\mathbb R}^d$ be a lattice of full rank $d \geq 1$ in the Euclidean space ${\mathbb R}^d$, where we will always write $\|\ \|$ for the corresponding Euclidean norm. Define the (squared) \textit{minimum} of $L$ to be
\[
|L| : = \min \left\{\|{\boldsymbol x}\|^2 : {\bo... |
541,165,882,228 | arxiv | \section{Introduction}
The direct study of the controlled large system is realizable only in some rather specific cases like one considered by Gabasov, Dmitruk and Kirillova in~\cite{Gabasov}. However, in many cases this problem can be simplified by passing to the limit system consisting of infinitely many agents. ... |
541,165,882,229 | arxiv | \section{Introduction}
When a fluid rests on a substrate, the free-surface height is a key variable which characterizes the fluid mechanics. In the longwave limit, where the horizontal length scale of the fluid is much larger than the vertical length scale, the Navier-Stokes equations reduce to a fourth-order nonline... |
541,165,882,230 | arxiv | \section{Introduction}
The world presents us with abundant examples of sequential processes. A plant growing from a seedling to a tree, the daily routine of getting up, going to work and coming back home, or a person pouring themselves a glass of water -- are all examples of events that happen in a particular order. Vi... |
541,165,882,231 | arxiv | \section{INTRODUCTION}
While facial reenactment aims at only transferring the expression between source and target actors, full-head reenactment transfers all the head time-varying features (3D pose, facial expressions, mouth movements, eyes gaze, etc.). This constitutes a challenging task with many applications in vid... |
541,165,882,232 | arxiv |
\section{Conclusion And Future Work}\label{sec:conclusion}
This paper presents execution templates, a novel abstraction for cloud
computing runtime systems that allows them to support extremely high task
rates. The need for high task rates is driven by the observation that many
modern workloads are CPU-bound, and rew... |
541,165,882,233 | arxiv | \section{Principal circle bundles
Hamiltonian structure is pursued and uncovered in collisional and collisionless gyrokinetic theory. A new Hamiltonian formulation of collisionless electromagnetic theory is presented that is ideally suited to implementation on modern supercomputers. The method used to uncover this str... |
541,165,882,234 | arxiv | \subsection*{Background}
Discovering causal genetic variants from large genetic association studies poses many difficult challenges. Assessing which genetic markers are involved in determining trait status is a computationally demanding task, especially in the presence of gene-gene interactions.
\subsection*{Results}
A... |
541,165,882,235 | arxiv | \section{Introduction}
$\alpha$-cluster structures in nuclei with two valence protons and two valence neutrons outside double shell closures are among the cornerstones for nuclear $\alpha$-cluster physics.
The simplest example is ${}^{8}\text{Be}$, which has been studied by different methods.
For instance, it is stud... |
541,165,882,236 | arxiv |
\section{Introduction} \label{sec:intro}
Differentiable programming ($\partial$P), i.e., the ability to differentiate general computer program structures, has enabled the efficient combination of existing packages for scientific computation and machine learning~\citep{raissi2019physics, rackauckas2020generalized,de20... |
541,165,882,237 | arxiv | \section{Introduction}
Tracking how stable and unstable manifolds of a low-dimensional dynamical system vary under time-dependent perturbations can be referred to as `Melnikov theory.' The concept was originally introduced \cite{melnikov} to analyze the splitting of a homoclinic manifold (a coincident stable and unsta... |
541,165,882,238 | arxiv | \section{Introduction}
The knowledge of the stress intensity factor (SIF) and of the notch stress intensity factor (NSIF), respectively, for star-shaped cracks/stiffeners and isotoxal star-shaped polygonal voids/rigid-inclusions
is crucial as they represent failure criteria in the design of brittle-matrix composites \... |
541,165,882,239 | arxiv | \section{Introduction}
\label{sec:intro}
A closed ``ribbon" is a smooth mapping (or the image set) of an annulus, $S^1 \times [0,1]$ into $\R^3$, where the sets ${s} \times [0,1]$ are mapped to line segments all of the same length. To avoid degenerate situations, we assume the mapping is an embedding on $S^1 \times \{... |
541,165,882,240 | arxiv | \section{Model}\label{model}
In this section we present the scenario which we consider in the paper, we model and motivate the attacker, and give assumptions on the communication.
\subsection{Scenario and Attack Model}
Consider the scenario presented in Figure \ref{sc:1}, with a virtual private network between two bran... |
541,165,882,241 | arxiv | \section{Introduction}
The protonated form of CO$_2$, HOCO$^+$ , was first identified in the
Galactic centre molecular cloud SgrB2 by Thaddeus, Gu\'elin, and Linke
(1981). The detection was then confirmed with the laboratory detection
by Bogey, Demuynck, and Destombes (1984). Minh et al. (1988) reported a
survey towar... |
541,165,882,242 | arxiv | \section{Introduction}
Surfaces with constant Gaussian curvature have been studied by several people (see \cite{AEG}, \cite{BKP}, \cite{CMM},
\cite{CPR}, \cite{MO}). A lot of recent works on product spaces have meant a renewed interest in these
3-manifolds and have turned this research topic into a fashionable one. An ... |
541,165,882,243 | arxiv | \section{Introduction}
The simulation of final states in the collision of highly energetic
particles at current and future colliders is largely based upon parton
shower evolution models. The theoretical foundation of these models
is the interpretation of Sudakov form factors as no--emission
probabilities \cite{Marche... |
541,165,882,244 | arxiv | \section{Introduction}
The extensive experimental programs at various facilities, in
particular Jefferson Lab, MAMI, ELSA, GRAAL and BES, where photo-
and electro-production data as well as $J/\psi$ decays give
unprecedented access to baryon resonance parameters, will lead
to significant improvements over the c... |
541,165,882,245 | arxiv | \section{Introduction}
Let $k$ be an {\bf algebraic number field}, (i.e. the main half of the set
of {\bf global fields}), i.e. a finite algebraic extension of the
{\bf rational number field} $\mbox{\lll \char81}$. Let $R_{k}$ be a ring of
{\bf algebraic integers} in $k$ ,i.e. a finitely-generated ring
extension - the... |
541,165,882,246 | arxiv | \section{\label{Intr}Introduction}
Novel states of matter associated with a quantum phase transition can be induced via tuning an external parameter.
In an increasing number of spin-dimerized quantum antiferromagnets, magnonic BEC has been observed at a magnetic field-induced quantum phase transition~\cite{zapf}.
Howe... |
541,165,882,247 | arxiv | \section{Introduction}
Leveraging the power of artificial intelligence to improve design has been becoming an active research field ~\cite{pix2pix2017,CycleGAN2017,liu2017unsupervised,huang2018munit}. Different design projects require different personal experience, theories and skills. In this paper, we specifically ta... |
541,165,882,248 | arxiv | \section{Introduction}
Previous work in summarization focus on the news domain where both extractive and abstractive methods are effective \cite{el2021automatic}. Dialogue summarization aims to generate summaries for intercourses between individuals or groups. Because of the verbal or written format of dialogues, ... |
541,165,882,249 | arxiv | \section{Introduction} \label{sec:intro}
Let $(M,\gamma)$ be a balanced sutured manifold. Kronheimer and Mrowka conjectured \cite{km-excision} that its sutured instanton homology is isomorphic to its sutured Heegaard Floer homology, \begin{equation}\label{eqn:iso1}\SHI(M,\gamma)\cong \SFH(M,\gamma)\otimes \mathbb{... |
541,165,882,250 | arxiv | \section{Boundary weight maps}
Each $q$-weight map over $K$ uniquely defines a $CP$-flow over
$K$. A $CP$-flow $\alpha_t$ over $K$ is a strongly continuous one
parameter semigroup of completely positive contractions of $B(H) =
B(K\otimes L^2(0,\infty ))$ into itself that is intertwined by translation.
Specifica... |
541,165,882,251 | arxiv | \section{Introduction}
\label{sec:introduction}
Since microchannel cooling systems have excellent thermal properties, they are widely used to cool devices that emit a lot of heat over a small area, e.g., electronic equipment or chemical microreactors (see, e.g., \cite{tuckerman, review_channels, khan2011review, naqiu... |
541,165,882,252 | arxiv | \section{Introduction}
Text of paper \ldots
\begin{acks}
This material is based upon work supported by the
\grantsponsor{GS100000001}{National Science
Foundation}{http://dx.doi.org/10.13039/100000001} under Grant
No.~\grantnum{GS100... |
541,165,882,253 | arxiv | \section*{Acknowledgments}
We thank the KEKB group for the excellent operation of the
accelerator, the KEK Cryogenics group for the efficient
operation of the solenoid, and the KEK computer group and
the National Institute of Informatics for valuable computing
and Super-SINET network support. We acknowledge support fr... |
541,165,882,254 | arxiv | \section{Introduction}\label{section:intro}
The use of refractive optics for the focusing of X-rays dates back to the mid-1990's \cite{Tomie1994, Snigirev1996} which is relatively recent when compared to the use of diffractive- (early 1930's) and reflective-optics (late 1940's). Although a recent development, X-ray le... |
541,165,882,255 | arxiv | \section{Introduction}
\hspace{20pt}We consider the physical set-up analogous the one used in \cite{1} for describing the modified kinematics of particles with the upper bound on their speed, this time generalizing it to 3-dimensional space. To this end we consider three particles {\bf{A, B}}, and {\bf{D}} involv... |
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