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1,116,691,497,215 | arxiv | \section{Introduction}
The use of deep neural networks as function approximators has enabled
new functionalities for reinforcement learning to provide solutions
for more complex problems \citet{van2015blocks}. However, adaptively
scaling and generalising trained agents to larger and complex environments
remains challen... |
1,116,691,497,216 | arxiv | \section{Introduction\label{sec:Introduction}}
\begin{comment}
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\end{comment}
In the last decade, there has been a sharp increase in the demand
for data traffic~\cite{index2016global}. To address such massive
consumer demand for data communications, especially from the powerful
user equipment (UEs... |
1,116,691,497,217 | arxiv | \section{Introduction}\label{sec:introduction}
Active and emerging flux regions host an abundance of compact transient
brightenings, particularly in their early evolving stages, that are the
likely heating signatures of reconnection as emerging fields reconfigure.
Examples of such transients range from Ellerman bombs\ ... |
1,116,691,497,218 | arxiv |
\section{Model Architecture Change For Layer-Drop}
One natural way to increase the model capacity is simply increasing the layer number $L$. Unfortunately, Figure~\ref{fig:vanishing-gradients} shows that this would raise gradient vanishing issue at the lower layers. When $L=12$, which is the default layer in the ori... |
1,116,691,497,219 | arxiv | \section{Introduction}
\label{i}
The method of \emph{relative entropy} has been successfully applied to partial differential equations of different types. \emph{Relative entropies}
are non-negative quantities that provide a kind of distance between two solutions of the same problem, one of which typically enjoys s... |
1,116,691,497,220 | arxiv | \section{Introduction}
Principal component analysis (PCA) and model-based clustering methods are popular ways to disentangle the ancestral genetic history of individuals and populations. One particular model, the admixture model \citep{Pritchardea2000}, has played a prominent role because of its simple structure and, ... |
1,116,691,497,221 | arxiv | \section{Introduction}
The statistical error in lattice QCD for certain quantities, such as for low-lying baryon masses, is currently reduced to levels such that it is of a similar magnitude to the systematic error due to neglecting QED effects.
Pushing forward for increased precision therefore requires the inclusion o... |
1,116,691,497,222 | arxiv | \section*{Introduction}
When we teach indefinite integrals, we use the notation $\int$. But it is not clear for the students what the $\int$ means. What does it means $\int f(x) \mathrm{d}x$? Can one write $F(x) = \int f(x) \mathrm{d}x$? Is $\int f(x) \mathrm{d}x$ a new function, or it is family of functions? Or does ... |
1,116,691,497,223 | arxiv | \section{Introduction}
Ultracold molecules play a main role in modern
physics due to a large number of promising applications in quantum
information\cite{ref1-Krems}, precision spectroscopy\cite{ref3-Krems} and
ultracold chemistry\cite{ref4-Krems,Softley:09,Gianturco:09}.
Optical lattices of ultracold molec... |
1,116,691,497,224 | arxiv | \section{Introduction}
Efficient mesh data structures play a fundamental role in a broad range of mesh processing applications in computer graphics, geometric modeling, scientific visualization, geospatial data science, finite element analysis, and, more recently, in data analysis and machine learning.
Although simple ... |
1,116,691,497,225 | arxiv | \section{Introduction}
\label{sec:introduction}
Named Entity Recognition (NER)~\cite{nadeau2007survey} is a challenging and \revise{fundamental task} in natural language processing. The NER aims to recognize named entities such as \textit{person, location, organization} from unstructured text, converting free text in... |
1,116,691,497,226 | arxiv | \section{Motivation}
It is of general interest to compute quantum corrections to classical
field configurations like soliton solutions that are frequently interpreted
as particles. On top of the wish list we find the energies that predict
particle masses. The quantum correction to the energy can be quite
significant b... |
1,116,691,497,227 | arxiv | \section{Introduction}
In the Bohr Copenhagen interpretation of quantum measurements, data are
taken from a classical apparatus reading which is influenced by a quantum
object during the time interval in which they interact. Most of the
theoretical work in analyzing quantum measurements requires computations
for t... |
1,116,691,497,228 | arxiv | \section{Introduction}
\label{secIntro}
In recent years some interest in the theory of universal coding has
focused on detecting hierarchical structure in compressed data. An
important tool for this task are universal grammar-based codes
\cite{KiefferYang00} which compress strings by transforming them first
into spec... |
1,116,691,497,229 | arxiv | \section{Acknowledgement}
We thank Ishaan Singh for help in drafting this paper.
\section{Appendix} \label{Appendix}
\begin{table}[]
\begin{tabular}{|l|l|l|l|l|}
\hline
\multirow{2}{*}{state} & \multicolumn{2}{l|}{MAE} & \multicolumn{2}{l|}{nMAE (\%)} \\ \cline{2-5}
& Local & Global & Local & Global ... |
1,116,691,497,230 | arxiv | \section{Introduction}
\input{sections/intro}
\section{Background and Notation}
\input{sections/background}
\section{The Role of Global Features}
\label{sec:isglobalnecessary}
\input{sections/isglobalnecessary}
\section{Learning Global Features}
\label{sec:learnglobal}
\input{sections/learningglobalfeatures}
\secti... |
1,116,691,497,231 | arxiv | \section{Introduction}
Trapped ions are at the forefront of both digital and analog quantum simulation~\cite{Cirac:1995, Porras_2004, Blatt:2008}. On the digital side, trapped-ions are the building blocks of the highest fidelity two-qubit universal gates~\cite{Brown:2011, Ballance:2016, Gaebler:2016}, and the recent... |
1,116,691,497,232 | arxiv | \section{Introduction}
In \cite{LSY-1, LSY-2} and \cite{Y}, the concept called
\it holomorphic-homogeneous-regular \rm and equivalently
\it the uniformly-squeezing\rm, respectively, for complex
manifolds has been introduced. This concept was essential for estimation of
several invariant metrics. See the above cited ... |
1,116,691,497,233 | arxiv | \section{Introduction}
\label{secintro}
Tales of freak waves by lucky survivors used to be taken with a large grain of salt. Were the sailors making excuses for bad seamanship? The first such wave to be measured directly was the famous New Year's wave in 1995~\cite{trulsen97}. With modern cameras and video, not to ... |
1,116,691,497,234 | arxiv | \section*{Appendix}
\gdef\thesection{\Alph{section}}
\setcounter{section}{1}}
\begin{document}
\title{Structures and Transformations for Model Reduction of Linear Quantum Stochastic Systems\footnote{Research supported by the Australian Research Council}}
\author{Hendra~I.~Nurdin
\thanks{Hendra I. Nurdin is with the ... |
1,116,691,497,235 | arxiv | \section{Introduction}
Ultra-hot Jupiters (UHJs) are the hottest giant exoplanets and they are extensively irradiated by their host stars. These planets are ideal laboratories to study the chemistry and physics of planetary atmospheres under extreme conditions.
Theoretical modelling of UHJ atmospheres \citep[e.g.,][]{L... |
1,116,691,497,236 | arxiv | \section{Introduction
Entanglement and quantum coherence are at the core of quantum information technologies. Among the existing qubit platforms for quantum information processing, nitrogen-vacancy (NV) centers in diamond have attracted significant attention due to their long spin-coherence time, quantum state control... |
1,116,691,497,237 | arxiv | \section[#1]{\centering #1}}
\newcommand{\ssubsection}[1]{\subsection[#1]{\centering #1}}
\newtheorem{thm}{Theorem}[section]
\newtheorem{lemma}[thm]{Lemma}
\newtheorem{cor}[thm]{Corollary}
\newtheorem{proposition}[thm]{Proposition}
\theoremstyle{definition}
\newtheorem{example}[thm]{Example}
\newtheorem{remar... |
1,116,691,497,238 | arxiv | \section{Introduction}\label{sec:intro}
The Left-Right Symmetric model (LRSM)~\cite{Pati:1974yy,Mohapatra:1974hk,Mohapatra:1974gc,Senjanovic:1975rk,Senjanovic:1978ev}
remains one of the best motivated high-energy
completions of the Standard Model of Particle Physics (SM).
It ties together the Majorana nature of neutri... |
1,116,691,497,239 | arxiv |
\section{Introduction}
\label{sec:intro}
\input{intro}
\section{Related Works}
\label{sec:related}
\input{related}
\section{Cascade Residual Learning}
\label{sec:method}
\input{method}
\section{Experiments}
\label{sec:results}
\input{results}
\section{Conclusions}
\label{sec:conclude}
\input{conclude}
{\small
\... |
1,116,691,497,240 | arxiv | \section{Introduction}
The M5 brane conformal anomaly was computed on the gravity side in \cite{Henningson:1998gx} and for the abelian M5 brane in \cite{Bastianelli:2000hi} by extracting it from the Hadamard-Minakshisundaram-DeWitt-Seeley (HMDS) coefficient $a_6$ in the heat kernel expansion. The coefficient $a_6$ was ... |
1,116,691,497,241 | arxiv | \section{Introduction}
Game theory is a branch of mathematics that formalizes competitions
with rational rules and rational players
\cite{osborne1994course}. This theory has broad applications in a great
number of fields, from biology to social
sciences and economics. Recently, much attention has been focused on
t... |
1,116,691,497,242 | arxiv | \section{Introduction}
The problem of generating frames by iterative
actions of operators \cite{ACMT, ACAMP, AP} has emerged within the research related to the dynamical sampling problem \cite{AADP13}-\cite{ACAMP}.
The
conditions under which a frame generated by iterative
actions of operators
exis... |
1,116,691,497,243 | arxiv | \section{Programmable Rydberg Arrays in 2D}
Our experiments are carried out on the second generation of an experimental platform described previously \cite{AtomArrayNature2017}. The new apparatus uses a spatial light modulator (SLM) to form a large, two-dimensional (2D) array of optical tweezers in a vacuum cell (Fig... |
1,116,691,497,244 | arxiv | \section{Introduction}
The pair-density-wave (PDW) state is a superconducting (SC) state of matter in which the Cooper pairs have a finite momentum.
Due to the finite momentum carried by the pair, the SC order parameter is modulated periodically in space.
The PDW state has recently received attention because it can ... |
1,116,691,497,245 | arxiv | \section{Introduction}
In two dimensions,
$\mathbb{Z}$~topological insulators exhibit a charge Hall conductivity that
is quantized and
proportional to the Chern number of the
occupied bands \cite{TKNN,Hasan,Zhang}.
Such nontrivial topological phases are also characterized
by the presence of gapless edge modes \ci... |
1,116,691,497,246 | arxiv | \section{Introduction}
The notion of quantum isomorphism of graphs was first introduced by Aterias et al in \cite{AMRSSV}. Two graphs are quantum isomorphic if there exists a perfect quantum strategy for the so called isomorphism game, a nonlocal game in which Alice and Bob want to convince a referee that they know an ... |
1,116,691,497,247 | arxiv | \section{Introduction}
The advent of smartphones and tablets, data hungry applications, and the ever growing amount of digital content have increased the mobile data traffic unprecedentedly \cite{Cisco2016}. It is anticipated that the mobile data traffic will grow at a compound annual growth rate of $53 \%$ from $2015$... |
1,116,691,497,248 | arxiv | \section{Introduction}
\label{sec:intro}
\par In the present work, we revisit the complementarity between strangeness oscillations and lifetime information in the neutral kaon system previously studied by A. Bramon, G. Garbarino and B. Hiesmayr (BGH) \cite{BGH_PRL,BGH_TwoPath,BGH_EPJC}. However, instead of using the W... |
1,116,691,497,249 | arxiv | \section{Introduction}
Quantum entanglement is perhaps the most striking phenomenon associated with quantum systems. Once seen as ``evidence'' for the alleged incompleteness of quantum mechanics \cite{einstein35}, entanglement has now found numerous applications as a resource for quantum communication \cite{bennett92,b... |
1,116,691,497,250 | arxiv |
\section{Conclusions}
\label{sec:Conclusion}
In conclusion, we introduced an effective adaptive-frequency MPC and optimization framework for bipedal locomotion over terrains with discontinuities such as stepping stones with varied gait periods and step lengths. In addition, we also introduced the adaptive-frequency t... |
1,116,691,497,251 | arxiv | \section{Introduction}
The measurement of the nuclear structure function in deep inelastic electron-nucleus scattering (DIS) is the best way to improve our knowledge of the nuclear parton distributions and QCD dynamics in the high energy regime (See, e.g.\cite{armesto_review,frank_review}). However, after more than 30... |
1,116,691,497,252 | arxiv | \section*{Introduction: unitarity of partial amplitude}
Unitarity written for the partial wave amplitude $f_l(s)$ of elastic scattering (spin degrees of freedom are neglected) has familiar form at high energies, i.e.
\begin{equation}
\mbox{Im}f_l(s)=|f_l(s)|^2+\eta_l(s),
\end{equation}
where the function $\eta_l(s)$... |
1,116,691,497,253 | arxiv | \section{Introduction}
\label{sec:intro}
Determination of convergence, divergence or oscillation of infinite series has a very rich
tradition in mathematics, and a large number of tests exist for the purpose. Unfortunately,
there does not seem to exist any universal test that provides conclusive answers to all infini... |
1,116,691,497,254 | arxiv | \subsection{\@startsection{subsection}{2}{\zeta@}%
{-3.25ex\@plus -1ex \@minus -.2ex}%
{-0.01 mm}
{\normalfont\large\bfseries}}
\newcommand{[\hspace*{-.5mm}[}{[\hspace*{-.5... |
1,116,691,497,255 | arxiv | \section{Introduction}\label{sec:introduction}
\IEEEPARstart{R}ecent years have witnessed a great development of Convolutional Neural Networks (CNNs) together with a wide variety of their vision applications. For the sake of high performance, these networks devote great efforts to carefully designing complicated struct... |
1,116,691,497,256 | arxiv | \section{Introduction}
Bose-Einstein condensation is a macroscopic quantum phenomenon, which occurs spontaneously at thermodynamic equilibrium in a bosonic many-particle system at low temperatures or high particle densities. The phenomenon manifests itself through the emergence of a coherent state of matter, consisting... |
1,116,691,497,257 | arxiv | \section{Introduction}
Sentiment detection is the process of determining whether a text has
a positive or negative attitude toward a given entity (topic) or in
general. Detecting sentiment on Twitter\textemdash a social network
where users interact via short 140-character messages, exchanging
information and opinions\... |
1,116,691,497,258 | arxiv | \section{I.\hspace{0.5cm} Introduction}
The Gutzwiller projected wave functions(GWFs) are widely used to
approximate the ground state of the $t-J$ model and the Heisenberg
model. In these models, local electronic correlation, as manifested
in the no double occupancy constraint of electrons, plays a vital
role in deter... |
1,116,691,497,259 | arxiv | \section{Introduction}
The $A \sim 190$ mass region is a particularly complex one, displaying transitional
behavior such as prolate-oblate deformed shapes, $\gamma$-unstability, triaxial deformation
and/or coexistence of different configurations which present a daunting challenge to
nuclear structure models. Despit... |
1,116,691,497,260 | arxiv | \section{Introduction}
The way we see the world is contingent upon the way we move our eyes, behind every eye movement is an inferential process that determines what to place within the central $2^{\circ}$ of the visual field that is processed by 50\% of our primary visual cortex \cite{mason1991central}. Consciously o... |
1,116,691,497,261 | arxiv | \section{Introduction}
Supernova remnants (SNRs) are the result of the interaction of a supernova explosion with its ambient medium.
The X-ray and radio-bright shell characteristic of young SNRs is composed of shocked ambient medium and
stellar ejecta. Internal to the reverse shock there can be some stellar ejecta tha... |
1,116,691,497,262 | arxiv | \section{Introduction}
Assume that $p$ be a fixed odd prime number. Throughout this paper
\mathbb{Z}
,$
\mathbb{Z}
_{p},$
\mathbb{Q}
_{p}$ and
\mathbb{C}
_{p}$ will denote by the ring of integers, the field of $p$-adic rational
numbers and the completion of the algebraic closure of
\mathbb{Q}
_{p},$ respe... |
1,116,691,497,263 | arxiv | \section*{Background}
Nature employs proteins for a vast range of tasks, and their capacity to evolve to perform diverse functions is one of the marvels of biology. Recently, it has become possible to reconstruct convincing scenarios for how new protein functions evolve. One of the most important conclusions of this ... |
1,116,691,497,264 | arxiv | \section{Introduction}
Despite intensive theoretical efforts over the past decade and more,
we do still not have a quantitative understanding of QCD at large
baryon density. This is primarily due to the sign problem preventing
first-principles Monte Carlo simulations in this r\'egime.
One way of circumventing this
is... |
1,116,691,497,265 | arxiv | \section{Introduction}
AdS/CFT has passed many serious tests and does an excellent job of describing a four-dimensional strongly coupled conformal field theory. Shortly after its inception, it was proposed that this correspondence could be used to describe QCD physics. Specficially, by deforming the string theory, th... |
1,116,691,497,266 | arxiv | \section{Introduction}
The physical process known as double-diffusive convection was first described in the 1950's by \citet{stommel1956} who observed the effect in an experiment. Shortly afterwards, it was also found in astrophysics when
the first detailed stellar models were computed and \citet{schwarzschild_haerm_... |
1,116,691,497,267 | arxiv | \section{Introduction}
\label{sec:intro}
Face anti-spoofing (FAS) systems have been successfully established in face authentication, and widely used in online banking, electronic payments, and securities as a crucial technique. Despite its substantial success, FAS still shows vulnerability to various presentation atta... |
1,116,691,497,268 | arxiv | \section{Introduction}
\label{sec:intro}
Gaussian process (GP) models are widely popular nonlinear models ubiquitous in spatial statistics \cite{gelfand2010handbook, stein2012interpolation} and commonly utilized in machine learning applications \cite{rasmussen2006gaussian, liu2020gaussian}.
Gaussian process regression... |
1,116,691,497,269 | arxiv | \section{Introduction}\label{sec:01}
In classical Iwasawa theory we usually study various modules up to pseudo-null modules.
For instance, Iwasawa main conjecture is often formulated as a relation between the characteristic ideals of Iwasawa modules and $p$-adic $L$-functions, and in general characteristic ideals ign... |
1,116,691,497,270 | arxiv | \section{Introduction}
Let $f:I\subseteq \mathbb{R\rightarrow R}$ be a convex function defined on
the interval $I$ of real numbers and $a,b\in I$ with $a<b$. The following
inequalit
\begin{equation}
f\left( \frac{a+b}{2}\right) \leq \frac{1}{b-a}\dint\limits_{a}^{b}f(x)d
\leq \frac{f(a)+f(b)}{2} \label{1-1}
\en... |
1,116,691,497,271 | arxiv | \section{Introduction}
Our understanding of physics consistently advanced thanks to the study of exactly solvable models -- from the Kepler problem \cite{babelon2003introduction}, to the statistical mechanics of lattice systems \cite{baxter2016exactly}, to the latest advances in interacting quantum field theories (QFTs... |
1,116,691,497,272 | arxiv | \section{Introduction}
In 1940, Mahler \cite{Mah} gave the first idea for introducing continued fractions in the field of $p$--adic numbers $\mathbb Q_p$. Starting from this, several authors studied the problem of defining an algorithm for expanding elements of $\mathbb Q_p$ in continued fractions. The most notable res... |
1,116,691,497,273 | arxiv | \section{Introduction}\label{sec:intro}
Anomalous X-ray pulsars (AXPs) and soft-gamma repeaters are neutron stars
many of whose attributes at X-ray, gamma-ray, and infrared wavelengths
\citep[see][for a review]{wt06} are best understood in the context of
the magnetar model \citep{dt92a}, according to which their high... |
1,116,691,497,274 | arxiv | \section{Introduction}
Coupled oscillator models have been used to study different aspects of biology, chemistry and engineering, for example chemical waves \cite{kuramoto2003chemical}, flashing of fireflies \cite{mirollo1990synchronization}, laser arrays \cite{winful1988stability, wang1988dynamics}, power system ... |
1,116,691,497,275 | arxiv | \section{Introduction}
The presence of a strongly triaxial object, a bar, at the center of some $30\%$ of disk galaxies provides an opportunity to probe the distribution of dark matter in the inner few disk scale lengths
and to test the maximum disk hypothesis.
The bar pattern speed, $\Omega_p$, which plays an impor... |
1,116,691,497,276 | arxiv | \section{Introduction.}\label{s:intro}
Diffusion in comb-like structures arises in the study of several applications such as the study of linear porous media, microscopically disordered fluids, transport in dendrites and tissues (see for instance~\cites{Young88,ArbogastDouglasEA90,ShowalterWalkington91,BressloffEarnsh... |
1,116,691,497,277 | arxiv | \section{Introduction}
\noindent In recent years there has been a boom in quantum computing. Different models of hardware have been proposed, with the most dominant being based on superconducting circuits or trapped ions (cf. IBM, Rigetti, IonQ). All these architectures use discrete values (qubits) as the basis for co... |
1,116,691,497,278 | arxiv | \section{Introduction}
The structure of a quantum computer \cite{lul1} happens to have much in common with the Schur-Weyl duality \cite{lul2,lul3,lul4,TiagoCruz} between the unitary group $U(n)$ and the symmetric group $\Sigma_N$, acting on the $N$-th tensor power space $h^{\otimes N}$ of the defining space $h$ of $U(n... |
1,116,691,497,279 | arxiv | \section{Introduction}
Let $M$ be a factor of type $II_1$ with a normalized trace
$\tau$. Murray and von Neumann introduced
the fundamental group ${\mathcal F}(M)$ of $M$ in \cite{MN}.
The fundamental group ${\mathcal F}(M)$ of $M$ is a
subgroup of the multiplicative group
$\mathbb{R}_+^{\times}$ of positiv... |
1,116,691,497,280 | arxiv | \section{\large Introduction}
It is shown in \cite{Nekrasov-Okounkov} that
the Seiberg-Witten solutions \cite{Seiberg-Witten}
of $4d$ $\mathcal{N}=2$ supersymmetric gauge theories
emerge through \textit{random partition},
where
Nekrasov's formulas \cite{Nekrasov-Okounkov,Nekrasov}
for these gauge theories are
... |
1,116,691,497,281 | arxiv | \section{Introduction}
Topological data analysis (TDA) has emerged as powerful machinery in machine learning (ML), allowing us to extract complementary information on the observed objects, especially, from graph-structured data. In particular, TDA has become quite popular in various ML tasks, ranging from bioinformati... |
1,116,691,497,282 | arxiv | \section{Introduction}
Taking a higher dimensional theory as a starting point, more than one path can lead to a lower dimensional theory. The conventional and most physical connection is obtained by Kaluza-Klein reduction: the starting point is chosen from a specific class of solutions (vacua) of the higher dimensional... |
1,116,691,497,283 | arxiv |
\subsection{Probability Tools}
\begin{lemma}\textbf{ \cite{kiefer1960equivalence}}
Assume that $\A \subset \mathbb{R}^{d}$ is compact and $\operatorname{span}(\A)=\mathbb{R}^{d}$. Let $\pi: \A \rightarrow[0,1]$ be a distribution on $\A$ so that $\sum_{a \in \A} \pi(a)=1$ and $\tX(\pi) \in \mathbb{R}^{d \times d}$ and... |
1,116,691,497,284 | arxiv | \section{Introduction}
Polar codes are the first family of low-complexity capacity-achieving codes. Polar codes were first introduced by Ar{\i}kan for binary-input channels \cite{Arikan}. The construction of polar codes relies on a phenomenon that is called \emph{polarization}: A collection of independent copies of the... |
1,116,691,497,285 | arxiv | \section{Introduction}
\label{sec1}
\setcounter{equation}{0}
The problem of impurities in mediums formed by bosons is comprehensively studied in the condensed matter physics. Even properties of a single atom immersed in the weakly-interacting Bose gas change drastically \cite{Tempere2009,Vlietinck2015,Ardila2015,Grusdt... |
1,116,691,497,286 | arxiv | \section{Introduction}
\label{sec:intro}
The motivation to study nuclear matter under extreme conditions of temperature and density reached in Relativistic Heavy Ion conditions is primarily the search for a new state of matter, called the Quark Gluon Plasma for historical reasons because it was thought to be a gas... |
1,116,691,497,287 | arxiv | \section{Introduction}
For over two decades, superconductivity in Sr$_2$RuO$_4$ had been proposed to be of spin-triplet pairing both in theory and in experiment \cite{Maeno1994,Rice1995,Ishida1998,Mackenzie2003,Mackenzie2017}. This belief has lately been overturned when refined nuclear magnetic resonance (NMR) \cite{P... |
1,116,691,497,288 | arxiv | \section{Introduction}
In this paper we propose a second order accurate finite volume scheme for solving the following nonlinear, possibly degenerate parabolic equation: for $u: \mathbb{R}^+\times \Omega \mapsto \mathbb{R}^+$ solution to
\begin{equation}
\left\{
\begin{array}{l}
\partial_{t}u=\text{div}\, \left(f(u) ... |
1,116,691,497,289 | arxiv | \section{INTRODUCTION}
Do black holes interact with an accretion flow in such a way so a distinct
observational signature entirely different from those associated with any
other compact object exists? In other words can
the existence of a black hole be solely inferred from the
radiation observed at infinity ?
The... |
1,116,691,497,290 | arxiv | \section{Introduction}
\begin{quotation}
\footnotetext[1]{pheligenius@yahoo.com}\footnotetext[2
{farida\_tahir@comsats.edu.pk}\emph{"Who of us would not be glad to lift the
veil behind which the future lies hidden; to cast a glance at the next
advances of our science and at the secrets of its developments during ... |
1,116,691,497,291 | arxiv | \section{Introduction}\label{sec: introduction}
Let $q\geq 5$ be a prime number, and let $N$ be a positive integer.
Let $X_0(Nq)$ denote the modular curve over ${\mathbb{Q}}$ and $J_0(Nq)$ its Jacobian variety. For any integer $n$, there is the Hecke operator $T_n$ acting on $J_0(Nq)$.
Let $\Phi_q(Nq)$ denote the compo... |
1,116,691,497,292 | arxiv | \section{Introduction}
In the age of autonomous driving, researchers and companies are getting ever-so-close to enabling cars to generate driving behavior that includes reaching the destination while satisfying safety constraints, like not colliding with other cars or pedestrians.
Once autonomous cars attain that lev... |
1,116,691,497,293 | arxiv | \section{Introduction} \label{sec:intro}
The basic motivation of this paper is to present a new class of integral equations arising from relativistic quantum physics. The existence of solutions for these equations is not obvious, and we describe an approach that allows for proofs of existence and uniqueness results fo... |
1,116,691,497,294 | arxiv | \section{Introduction}
Urolithiasis refers to the formation of stony concretions in the bladder or urinary tract \cite{hall2009nephrolithiasis, kasidas2004renal}. It represents a major public health issue in industrialized countries: at least 10\% of the population appears to have a kidney stone and the risk of inappro... |
1,116,691,497,295 | arxiv |
\section{For every submission}
\subsection{Did you discuss the \textit{limitations} of your work?}
If you answer {\bf Yes}, provide the section number; if you answer {\bf No}, provide a justification. \\[0.3cm]
\begin{Form}
\begin{tabular}{l}
\cm{mainClaims}{Yes,No,N/A}\\[0.2cm]
\tf[0.85]{mainClaimsJustificat... |
1,116,691,497,296 | arxiv | \section{Introduction}
In the paper, we shall introduce a sequence of differential operators acting on symplectic spinor valued exterior differential forms over a symplectic manifold $(M,\omega)$ admitting the so called metaplectic structure. To define these operators, we make use of a symplectic torsion-free aff... |
1,116,691,497,297 | arxiv | \section{Filtered Carriers and Interleavings}\label{sec:filtered_carriers_and_interleavings}
In this section, we introduce a notion of filtered carrier between complexes, and use this to construct explicit interleavings between persistence vector spaces. This generalizes the definition of carriers used in algebraic ... |
1,116,691,497,298 | arxiv | \section{Introduction and main results}
\label{sec:INTRO}
Although in lattice QCD at maximal twist (Mtm-LQCD) O($a$) discretization
effects (actually all O($a^{2k+1}$), $k\geq 0$ effects) are absent
or easily eliminated~\cite{TM,FR1,FR2,FR4}, it turns out that correlators
are affected by dangerous artifacts of rela... |
1,116,691,497,299 | arxiv |
\section{Introduction}
Many models of systems consist of smaller sub-systems which interact with each other over a network. In particular, such models are often of a large scale, in the sense that they are described by a large number of state variables. There is a renewed interest in such systems due to application... |
1,116,691,497,300 | arxiv | \section{Introduction}
The complexity of a natural number $n$ is the least number of $1$'s needed to
write it using any combination of addition and multiplication, with the order of
the operations specified using parentheses grouped in any legal nesting. For
instance, $11$ has complexity of $8$, since it can be writ... |
1,116,691,497,301 | arxiv | \section{Wave forms in Odd dimensions}
The first order formalism of D'Eath and Payne was discussed in detail and generalised to higher $D$ in~\cite{Herdeiro:2011ck}. Two equal Aichelburg-Sexl shock waves collide head on in $D$ dimensions. The inelasticity of the process $\epsilon$ can be expressed as (we refer to~\cite... |
1,116,691,497,302 | arxiv | \section{Introduction}
The AdS/CFT correspondence~\cite{Maldacena, Polyakov, Witten} has proved very useful in providing novel tools to study strongly-coupled/correlated systems. It has been applied to, e.g. RHIC physics~\cite{Chernicoff:2012bu,Yee:2013qma,Wu:2013qja,v_2,DeWolfe:2013cua}, and recently to condensed m... |
1,116,691,497,303 | arxiv | \section{Introduction}
The existence of a crossover from BCS superconductivity to Bose Einstein (BE)
condensation of pre-formed pairs has received increasing
attention in the literature over the last few years. Originally discussed by
Eagles \cite{Eagles} within the context of pairing in thin film
semi-conductors... |
1,116,691,497,304 | arxiv |
\section{Introduction}
\label{sec:intro}
Since the time that Moggi first connected them to effectful
computation~\cite{moggi89computational}, \emph{monads} have proven to be a
surprisingly versatile computational structure. Perhaps best known as
the foundation of Haskell's support for state, I/O, and ... |
1,116,691,497,305 | arxiv | \section{Introduction}
Over the last fifteen years, considerable effort has gone into trying
to analyse nuclear forces using the systematic tools of effective field
theory (EFT).\footnote{For reviews, from various points of view,
see Refs.~\cite{border,bvkrev,eprev}.} The starting point was Weinberg's
original propos... |
1,116,691,497,306 | arxiv | \section{Introduction}
Martin-Löf's 1966 paper~\cite{martin1966definition} put the notion of an
individual random sequence on a sound mathematical footing. He gave a rigorous
definition of what it means for an infinite binary sequence (which we also refer
to as a \emph{real}) to be random with respect to a Bernoulli ... |
1,116,691,497,307 | arxiv | \section{Introduction} \label{sec:intro}
An {\em acyclic $k$-coloring} of a graph $G$ is a proper $k$-coloring of $G$ with no 2-colored cycles. Confirming a conjecture of Gr{\"u}nbaum~\cite{Gruenbaum1973}, Borodin~\cite{Borodin1979} proved that every planar graph has an acyclic 5-coloring. This celebrated res... |
1,116,691,497,308 | arxiv | \section{Introduction}
Let $E$ be a smooth non-negative function on a Riemannian manifold $X$.
Let $\lambda$ be a positive number and
consider a weighted probability measure
$d\nu^{\lambda}(x)=Z_{\lambda}^{-1}e^{-\lambda E(x)}dx$ on $X$,
where $Z_{\lambda}$ denotes the normalized constant
and $dx$ denotes the Riemann... |
1,116,691,497,309 | arxiv | \section{Introduction}
Let $(M
, g)$ be a compact Riemannian manifold of dimension $n\geq3$ with smooth boundary $\partial M$ and $\overline{M}:=M\cup\partial M$.
In this paper, we study the Dirichlet problem for a class of Hessian quotient equations
\begin{equation}\label{Eq}
\left\{
\begin{aligned}
&\left(\frac{\... |
1,116,691,497,310 | arxiv | \section{Introduction}
Effective explainable AI systems are critical to constructive human-robot collaboration in a variety of settings. Humans performing separate roles in distinct contexts require different types of information about their AI teammates in order to effectively perform their tasks \cite{sanneman2020si... |
1,116,691,497,311 | arxiv | \section{Introduction}\label{s1}
For a smooth compact Riemannian manifold $M$ without boundary, the Hamiltonian $H$ is usually characterized as a $C^{r\geq 2}-$smooth function on the cotangent bundle $T^*M$, with the associated Hamilton equation defined by
\begin{eqnarray}\label{eq:ham}
{\sf (Conservative)\quad... |
1,116,691,497,312 | arxiv | \section{Background}
\label{sec:background}
\begin{figure}[t!]
\includegraphics[scale = 0.5]{pics/response.pdf}
\caption{Service time of GET operations on items of different sizes on our platform (y axis in log scale). The service time measures the interval from the reception of the client request on the... |
1,116,691,497,313 | arxiv | \section{Introduction}
The TMT project is currently an equal partnership between Caltech, the University of
California, and the Association of Canadian Universities for Research in Astronomy
(ACURA) to construct a 30m telescope. TMT will have a 30-m f/1 primary mirror
composed of 738 1.2m segments. The final focal r... |
1,116,691,497,314 | arxiv | \subsection{Introduction}
At medium energies, our present understanding of QCD is still very
limited. Here, in the energy regime of meson and baryon
resonances the strong coupling constant is large and
perturbative methods can no longer be applied.
One of the key issues in this energy regime is to identify
the rele... |
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