uuid int64 541B 3,299B | dataset stringclasses 1
value | text stringlengths 1 4.29M |
|---|---|---|
2,869,038,153,728 | arxiv | \section{Introduction}
\label{s1}
Let $V(n)$ be the set of all positive divisors of a positive integer $n$ as defined in~(\ref{e01}).
For instance, $V(20) = \{1, 2, 4, 5, 10, 20\}$.
The partial order called the {\em divides} relation, $a$ divides $b$ denoted $a|b$, is applied to $V(n)$ and
yields two types of... |
2,869,038,153,729 | arxiv | \section{Introduction}
\label{intro}
Einstein's equivalence principle (EEP) is at the core of our understanding of gravitation and is among the most important postulates of modern physics. It is under constant scrutiny since a violation of any of its pillars would lead to new physics beyond general relativity (GR) a... |
2,869,038,153,730 | arxiv | \section{Introduction}
Black holes are believed to play a key role in a number of highly energetic astrophysical phenomena, from active galactic nuclei to gamma-ray bursts to ultraluminous X-ray binaries.
The extraordinary amounts of energy released during such events may have two different origins. It can be the g... |
2,869,038,153,731 | arxiv | \section{Introduction}
In this article we show that the adele class space\footnote{More specifically the sector ${\mathbb Q}^\times\backslash{\mathbb A}_{\mathbb Q}/\hat{\mathbb Z}^*$ corresponding to the trivial Grossencharacter.} of ${\mathbb Q}$ admits a natural structure of tropical curve. We follow the strategy o... |
2,869,038,153,732 | arxiv |
\section{Introduction}
\label{sec:intro}
Flow states that remain exactly the same under some transformation can enrich our understanding of the basic physical mechanisms behind the flow phenomena we observe. Such solutions are known variously as invariant solutions, recurrent flows or exact coherent structures, and i... |
2,869,038,153,733 | arxiv | \section{Introduction}
\noindent
The symmetric group $S_n$ may be viewed as the subgroup of the general linear group $GL_n(\mathbb{C})$ consisting of permutation matrices. We may therefore consider the restriction to $S_n$ of irreducible $GL_n(\mathbb{C})$ representations. Let $S^\lambda$ denote the irreducible represe... |
2,869,038,153,734 | arxiv | \section{Introduction} \vspace{-\parskip}
Bulges of early-type spirals
and elliptical galaxies comprise primarily old low-mass stars,
which account for more than half of the total stellar mass in
the local Universe (Fukugita, Hogan, \& Peebles 1998).
These stars collectively generate a long-lasting feedback
via mass in... |
2,869,038,153,735 | arxiv | \section{Introduction}\label{sec:intro}
The cycle 4 {\it Spitzer Space Telescope} Legacy project ``The Gould Belt: Star Formation in the Solar Neighborhood'' (PID: 30574; PI: L.E. Allen) completed the {\it Spitzer} survey of the large, nearby star-forming regions begun by the c2d Legacy Project \citep{Evans2003, Evans... |
2,869,038,153,736 | arxiv | \section{#1}}
\renewcommand{\baselinestretch}{1}
\topmargin -0.6cm
\oddsidemargin=-0.75cm
\hsize=16.8cm
\setlength{\textheight}{247mm}
\renewcommand{\thefootnote}{\fnsymbol{footnote}}
\def\mbox{e}{\mbox{e}}
\def{\rm sgn}{{\rm sgn}}
\def\raise0.3ex\hbox{$\;>$\kern-0.75em\raise-1.1ex\hbox{$\sim\;$}}{\;
\raise0.3ex\hb... |
2,869,038,153,737 | arxiv | \section*{Introduction}
Starting with the seminal works \cite{Beil} and \cite{BGG} on derived categories of coherent sheaves
on projective spaces the techniques involving derived categories have been applied to a variety
of problems in algebraic geometry. Among recent examples one could mention
the relation between s... |
2,869,038,153,738 | arxiv |
\section{Megaverse: technical details}
\subsection{Interface}
Megaverse platform provides a vectorized version of the OpenAI Gym interface \citeappendix{gym} for interacting with the environments. This is a natural extension of the standard Gym interface for parallel simulators: since a single Megaverse instance... |
2,869,038,153,739 | arxiv | \section{Introduction}
Models with vector bosons and scalars in a hidden sector naturally arise in supersymmetric extensions of the standard model as well as in superstring phenomenological studies. They have also cosmological implications concerning gravitational wave production and dark matter abundance (see \c... |
2,869,038,153,740 | arxiv | \section{Introduction}
Given an initial quantum state $\rho$, that may be either a pure state or a density matrix, and assuming factorizability of the total Hilbert space to which it belongs, $\mathcal{H}=\mathcal{H}_{A}\otimes\mathcal{H}_{B}\otimes\mathcal{H}_{C}\otimes\dots$, we first define the reduced density matr... |
2,869,038,153,741 | arxiv | \section{Introduction}
We work over the algebraically closed field of characteristic zero.
Specially the base field is the complex numbers in considering the
classification of surfaces. A smooth irreducible algebraic variety
$V$ in $\mathbb P^r$ is said to be projectively normal if the
natural morphisms $H^0(\mathbb P... |
2,869,038,153,742 | arxiv | \section{Introduction}
Clusters are natural laboratories to study the effects of environment on the
evolution of galaxies \citep{dressler80}.
A plethora of evidence shows that the properties of
late-type galaxies depend strongly on environment: besides the well known morphology-density
relation \citep{dressler80,wh... |
2,869,038,153,743 | arxiv |
\section{\hrulefill\Large\textbf{~#1~}\hrulefill}\label{sec:#1}}
\newcommand{\grayst}[1]{\textcolor{mygray}{\st{#1}}}
\newcommand{\example}[1]{\noindent\begin{quote}\small #1\end{quote}}
\NewDocumentCommand{\evalat}{sO{\big}mm}{%
\IfBooleanTF{#1}
{\mleft. #3 \mright|_{#4}}
{#3#2|_{#4}}%
}
\title{Supervised l... |
2,869,038,153,744 | arxiv | \section*{Abstract}}
This paper aims to help structure the risk landscape associated with large-scale Language Models (LMs). In order to foster advances in responsible innovation, an in-depth understanding of the potential risks posed by these models is needed. A wide range of established and anticipated risks are anal... |
2,869,038,153,745 | arxiv | \section{Introduction}
Planets with masses lower than approximately $50 M_\oplus$ (depending on the disk scale height and viscosity) migrate toward the central star under a type I migration regime. Different from linear theories,
planet formation simulations generally require the rate of type I migration to be reduced ... |
2,869,038,153,746 | arxiv | \section{Introduction}\label{intro}
Let $p$ a fixed odd prime number. We write $\mathbb{Q}_\mathrm{cyc}$ for the cyclotomic $\mathbb{Z}_p$-extension of $\mathbb{Q}$ and let $\Gamma$ denote the Galois group $\mathrm{Gal}(\mathbb{Q}_\mathrm{cyc}/\mathbb{Q})$. The Iwasawa algebra $\Lambda=\mathbb{Z}_p[[\Gamma]]$ is defi... |
2,869,038,153,747 | arxiv | \section*{Appendix}
To show that each of our embedded 2-tori admits an analytic foliation, with closed leaves, that is everywhere transverse to the (nowhere vanishing) flow field \textit{X} it would suffice to prove that it always admits a closed, analytic one-form \(\lambda\) with integral periods such that \(\lambda ... |
2,869,038,153,748 | arxiv | \section{Proof of the First Zonklar Equation}
\ifCLASSOPTIONcompsoc
\section*{Acknowledgments}
\else
\section*{Acknowledgment}
\fi
We would like to thank external experts for participating in our interviews and giving us invaluable feedback. We also thank the anonymous reviewers for their detailed reviews a... |
2,869,038,153,749 | arxiv | \section{Introduction}
\label{sec:intro}
Astrophysical shocks are often considered to be associated with the most energetic events in the universe. After the death of massive stars, destruction of WDs, or mergers of compact objects, shocks are expected to be launched into the ambient medium \citep{chevalier82,Matzner... |
2,869,038,153,750 | arxiv | \section{Introduction}
The transverse Ising model with random exchange interactions is a simple interesting quantum spin model.
Many researchers of information, mathematics and physics have been studied
this model extensively, since D-Wave Systems actually
devised and produced a quantum annealer based on this mod... |
2,869,038,153,751 | arxiv | \section{Introduction}
Constraints on the nature and properties of dark energy can be obtained from an accurate description of the Universe's expansion history. Such a description can be provided by standard rulers: objects or properties of known size for which we can easily retrieve the distance-redshift relation \ci... |
2,869,038,153,752 | arxiv | \section{Introduction}
Stars are tidally disrupted in galactic nuclei when orbital perturbations reduce their angular momentum and place them on nearly radial orbits. Once the stellar pericenter is reduced below a critical value, a strong tidal encounter with the central supermassive black hole (SMBH) destroys it on ... |
2,869,038,153,753 | arxiv | \section{Introduction}
Quantum phase transition (QPT), which is closely associated with
the fundamental changes that can occur in the macroscopic nature
of matter at zero temperature due to small variations in a given
external parameter, is certainly one of the major interests in
condensed matter physics. Actually, th... |
2,869,038,153,754 | arxiv | \chapter{\bf Abstract}
The focus of this thesis
is on (1) the role of Ka\v c-Moody algebras in string theory and the
development of techniques for
systematically building string theory models based on higher
level ($K\geq 2$) KM algebras and (2) fractional superstrings, a new class of
solutions based on $SU(2)_K/U(1... |
2,869,038,153,755 | arxiv | \section{Introduction}
\vspace{-1mm}
Recently, the machine learning research community has devoted considerable efforts and financial outlay to scaling deep neural networks (DNNs) to enormous sizes ($175$ billion parameter-counts in GPT-3~\citep{brown2020language}). Although such overparameterization simplifies the tra... |
2,869,038,153,756 | arxiv | \section{Introduction}
The purpose of a measurement is
to determine the value of a physical quantity.
One often speaks of the {\it true value}, an idealized concept
achieved by an infinitely precise
and accurate measurement, i.e. immune from errors. In practice the result
of a measurement is expressed in terms of the ... |
2,869,038,153,757 | arxiv | \section{introduction}
Let $\triangle A_{1}A_{2}A_{3}$ be a geodesic triangle on a $C^{2}$ complete surface $M.$
We denote by $w_{i}$ a positive real number (weight), which corresponds to each vertex $A_{i},$ by $l_{A_{i}}(F)$, the geodesic distance from the vertex $A_{i},$ to the point $F,$ for $i=1,2,3.$
The w... |
2,869,038,153,758 | arxiv | \section{Introduction}
In recent decades, general theories of phase transitions and critical phenomena
have been developed, unifying our understanding of equilibrium phase transitions
in liquid-vapor, magnetic, liquid crystals and other systems. By contrast, the
study of nonequilibrium critical phenomena is still in ... |
2,869,038,153,759 | arxiv |
\section{Completing the path-coloring}
Let $S$ denote a set of strange $2$-cycles of $C_1$.
We show that there exist so called {\bf \em exchange sets} $E_1$ and $F_1$ with the following properties.
\begin{lemma}
There exist sets $E_1, F_1 \subset E$ and an assignment $f: E_1 \rightarrow F_1$ satisfying the followin... |
2,869,038,153,760 | arxiv | \section{Introduction}
Quantum chromodynamics (QCD), the theory of the strong interaction, requires a non-perturbative approach at the hadronic energy. The various form factors that can be extracted through the QCD factorization of the cross-section of physical processes give access to properties describing the structu... |
2,869,038,153,761 | arxiv | \section{Introduction}
Galaxy clusters are the most massive collapsed objects in the Universe. Their total mass is dominated by the dark matter ($\sim80\%$) that shapes deep potential wells where the baryons ($\sim20\%$) virialize. The majority of the baryonic matter in clusters is in the form of intra-cluster medium ... |
2,869,038,153,762 | arxiv | \section{Introduction}
In counting complexity we explore the computational complexity of functions that count the number of solutions of a decision problem. In general, the counting versions of problems are computationally more difficult than their decision versions. For example, given a DNF formula, it is easy to dete... |
2,869,038,153,763 | arxiv | \section{Introduction}
\label{sec:introduction}
The studies on photon scattering play an important role in quantum
optics. Various significant phenomena in quantum optics are related to
scattering, such as electromagnetically induced transparency (EIT) and
resonance fluorescence~\cite{r1,master}. Photon scattering for... |
2,869,038,153,764 | arxiv |
\section{Introduction}
In this concept paper authors aim to focus on the challenges posed by the Covid-19 pandemic and present a multidisciplinary and quantitative approach to respond to the sanitary and economical crisis. The proposed model is named AIRSENSE-TO-ACT, and is the description of a project submitted to t... |
2,869,038,153,765 | arxiv | \section*{Introduction}
Grover's iterative quantum search algorithm \cite{grov} can be used in such problems as cryptography, AI, pattern matching, database search, and is the most efficient quantum search algorithm till date. Its algorithmic complexity is $O(\sqrt{N})$, where $N$ is the size of the search space. Grove... |
2,869,038,153,766 | arxiv | \section{Introduction}
FPGAs are being introduced into the cloud and data center platforms for increased performance, computation, and parallelism benefits over existing accelerators such as GPUs. Technology has increased the demand for high-speed cloud computation over the last few years. Commercial and public cloud ... |
2,869,038,153,767 | arxiv | \section{Introduction}
Multitype populations are naturally modeled as measure-valued processes. In this paper we consider
a class of multilevel measure-valued processes which model ensembles of subpopulations with
mutation and selection at the subpopulation level and possible death and replacement of
subpopulat... |
2,869,038,153,768 | arxiv | \section{Introduction}
Since Hawking proved that a black hole can radiate thermally
\cite{SWH}, many papers have appeared to deeply discuss the
quantum radiation of black holes via different methods \cite{TGJ}.
Recently, Wilczek and his collaborators have proposed two
universal methods to correctly recover Hawking rad... |
2,869,038,153,769 | arxiv | \section{Introduction}
Let $b\in L^\infty(I\times \R^d ; \R^d)$ denote a time-dependent vector field on $\R^d$, where $I=(0,T)$, $T>0$, $d\in \mathbb N$. Consider the Cauchy problem for the continuity equation
\begin{equation}\label{Cauchy-problem}
\left\{
\begin{aligned}
&\partial_t u + \mathop{\mathrm{div}_x} (u b) ... |
2,869,038,153,770 | arxiv | \section{Introduction}
The fluctuation-dissipation theorem (FDT) is one of the cornerstones
of modern statistical physics. Roughly speaking, the
fluctuation-dissipation theorem states that for dynamical systems at
statistical equilibrium the average response to small external
perturbations can be calculated through th... |
2,869,038,153,771 | arxiv | \section{Supplemental Material}
Here we give the proofs of Theorems~1 through 5 of the main manuscript, and also elaborate on the MUS of (23). (We preserve the numbering of the equations and theorems in the main manuscript, and add a prefix ``S" to such objects appearing in this supplemental material.) Let us first st... |
2,869,038,153,772 | arxiv | \section{Introduction}
Plasmas can sustain accelerating fields on the order of $\mathrm{TeV/m}$ \cite{Malka_science_2002}, which makes them an exellent candidate for building small-scale accelerators \cite{Dawson}.
Multiple laboraties around the world have obtained reproducible, quasi-monoenergetic electron beams i... |
2,869,038,153,773 | arxiv | \section{Introduction}\label{Intro}
The current conceptual model of mineral dissolution in porous media is based on three 'dissolution regimes' that assist flow and transport prediction during dissolution\cite{1998-Fredd,2002-Golfier,1986-Chadam}. Accurate identification of these regimes is essential as the dissolutio... |
2,869,038,153,774 | arxiv |
\section{Experiments\label{experiments}}
To empirically demonstrate the utility of \textbf{FACE} we present results of its execution on two distinct data sets. First, we show the behaviour of our algorithm on a toy data set and compare the three graph construction approaches introduced in Section~\ref{methods}. Follow... |
2,869,038,153,775 | arxiv | \section{Introduction}
Determining the physical properties of dense cores of interstellar molecular clouds is of fundamental
importance in the field of star formation research. A powerful method for this purpose is to construct
the spectral energy distribution (SED) of the source from observational data obtained at ... |
2,869,038,153,776 | arxiv | \section{Introduction}
In quantum mechanics, the formulation of quantum system states and quantum observables \cite{Dirac,Schrod,Landau,Neumann} uses the notion of state vectors $|\psi\rangle$ in the Hilbert space, the state density operators acting in the Hilbert space and quantum observables are identified with the ... |
2,869,038,153,777 | arxiv | \section{\bf Introduction, Definitions and Preliminaries}
Throughout this paper, we refer to \cite{GasparRahman} for definitions
and notations. We also suppose that $0<q<1$. For complex numbers $a$,
the $q$-shifted factorials are defined by
\begin{align}
(a;q)_0:=1,\quad (a;q)_{n} =\prod_{k=0}^{n-1} (1-aq^k) ... |
2,869,038,153,778 | arxiv | \section{Introduction}
{ \itshape
The general solution of spherically symmetric self-dual Yang-Mills equations discovered
by Lesnov and Saveliev two decades ago has led to extraordinary developments. I met Misha for the
first time in 1992 when this work had already proven to be so important for two dimensional
conf... |
2,869,038,153,779 | arxiv | \section{Introduction}
The AdS/CFT correspondence, also known as holographic duality, provides a novel way to study strongly correlated quantum systems in terms of weakly coupled gravity. In particular, it can describe strongly correlated gapped systems in terms of gravity duals. One class of such models at zero dens... |
2,869,038,153,780 | arxiv | \section{Introduction}
In this work, we continue to explore the extensions of coherent state transforms to the context of Clifford
analysis started in \cite{KMNQ, DG, MNQ, PSS}.
In \cite{MNQ}, an extension of the coherent state transform (CST) to unitary maps
from the spaces of $L^2$ functions on $M={\mathbb R}^m$ a... |
2,869,038,153,781 | arxiv | \section{Introduction}
The problem of quickest change detection aims to detect an abrupt change in stochastic processes as soon as possible. This arises in a wide range of applications including quality control engineering \cite{lai1995sequential}, finance \cite{shiryaev2002quickest}, computer security \cite{thottan20... |
2,869,038,153,782 | arxiv | \section{Introduction}We consider the class $\mathcal{A}$ of all analytic functions defined on the unit disc $\mathbb{D}:=\{z: |z|<1\}$ and normalised by the condition $f(0)=f'(0)-1=0$ as well as its subclass $\mathcal{S}$ consisting of all univalent functions. For any two subclasses $\mathcal{F}$ and $\mathcal{G}$ of ... |
2,869,038,153,783 | arxiv | \section{Introduction}
\label{sec:intro}
Cosmic shear, the weak gravitational lensing effect imprinted on distant galaxies by the large-scale structure (LSS), is one of the primal science goals for EUCLID and Rubin-LSST. The blueprint for these missions has been set by current stage-3 surveys, including the Kilo-Degree... |
2,869,038,153,784 | arxiv |
\section{Conclusion}
We conduct comprehensive studies on adversarial network pruning. The contributions are three-fold: First, we give a new explanation on the connection between robustness and network sparsity, which is supported by much empirical evidence.
Second, we demonstrate the efficacy of training network ... |
2,869,038,153,785 | arxiv | \section{Introduction}
At the electron-proton collider HERA charm quarks are predominantly
produced via boson gluon fusion, $\gamma g \rightarrow c \bar{c}$,
where the photon is emitted from the incoming lepton and the
gluon originates from the proton. The cross section is largest
for photoproduction, i.e.~for p... |
2,869,038,153,786 | arxiv | \chapter{Analyzing the Protocols}
\label{chapter:3}
Computer networks or simply networks are the main means of information
sharing and communication in today's IT infrastructure. Certain
protocols are executed to facilitate communication in
networks. However, such networks are mostly insecure and the
communication need... |
2,869,038,153,787 | arxiv | \section{Introduction}
\vspace*{-1mm}
\label{sec:intro}
One of the most challenging issues in particle and nuclear physics is
to unravel the origin of
baryon forces
based on the fundamental theory, quantum chromodynamics (QCD).
The precise information on nuclear and hyperon forces
serve as the key ingredients to ca... |
2,869,038,153,788 | arxiv | \section{Introduction}
Non-spherical rigid molecules may show orientationally ordered phases,
which are often referred to as liquid crystalline(LC) phases.
Among all rigid molecules, (nonpolar) rod-like molecules have attracted most
interests. Rod-like molecules have shown several LC phases experimentally,
includin... |
2,869,038,153,789 | arxiv | \section{Introduction}
The large gauge hierarchy between the 4D Planck scale,
\begin{equation}
\Lambda_P^{(4)} = \sqrt{\frac{1}{8 \pi G_N^{(4)}}} \simeq 2.4 \times 10^{18} \ \mathrm{GeV},
\end{equation}
where $G_N^{(4)}$ is the 4D gravitational Newton constant, and the measured Higgs boson mass $m_h \simeq 125 \ \math... |
2,869,038,153,790 | arxiv | \section{Conclusions and future work}
Optimal scaling of the ADMM method for distributed quadratic programming was addressed. In particular, a class of distributed quadratic problems were cast as equality-constrained quadratic problems, to which the scaled ADMM method is applied. For this class of problems, the network... |
2,869,038,153,791 | arxiv | \section{Introduction}\label{sec:intro}
In a distributed storage system, information pertaining to a data file is dispersed across nodes in a network in such a manner that an end-user~(whom we term as a data-collector, or a DC) can retrieve the data stored by tapping into neighboring nodes. A popular option that redu... |
2,869,038,153,792 | arxiv | \section{Introduction\label{sect: intr}}
One of the well-known challenges in unleashing the potential of Internet-of-Things (IoT) is the limitations of energy sources \cite{wong2017key}. In practice, a large number of sensors equipped with limited energy storage create a system performance bottleneck in realizing susta... |
2,869,038,153,793 | arxiv | \section{Introduction}
\newcommand{\zk}{\ensuremath{\mathfrak{k}}}
Let $a$ and $q$ be two positive coprime integers, $0<a<q$.
By the Euclidean algorithm, a rational $a/q$ can be uniquely represented as a regular continued fraction
\begin{equation}\label{exe}
\frac{a}{q}=[0;b_1,\dots,b_s]=
\cfrac{1}{b_1... |
2,869,038,153,794 | arxiv | \section{Introduction}
Circular orbits near rotating black holes is an important issue in
astrophysics and are of interest theoretically on their own since they
possess a number of nontrivial properties. There are three main types of
such orbits -\ the photon orbit, the marginally bound and the marginally
stable... |
2,869,038,153,795 | arxiv | \section{Introduction}
Networks have provided a step change in modelling complex systems ranging from
man-made to natural ones \cite{newman2003structure,boccaletti2006complex,pastor2014epidemic}.
The study of disease transmission on networks has particularly benefitted
from this modelling paradigm by uncovering the... |
2,869,038,153,796 | arxiv | \section{Introduction}
The spins of single dopants in solids are key elements in the development of solid-state quantum-information technologies~\cite{qc_defects,qc_review}. In particular, nitrogen-vacancy (NV) colour centers in diamond are promising quantum processors: single defects can be detected using confocal... |
2,869,038,153,797 | arxiv | \section{Introduction}
In recent years, deep convolutional neural networks (CNNs) have proven
to be highly effective general models for a multitude of computer
vision problems \citep{krizhevsky2012imagenet,long2015fully,radford2015unsupervised,newell2016stacked}.
One such problem is \emph{coordinate regression}, where... |
2,869,038,153,798 | arxiv | \section{Introduction}
\label{sec:intro}
Photons are able to probe any or all stages of
a relativistic heavy-ion collision\cite{es80} since their
mean free paths are much larger than the transverse size of
the hot and dense region and will therefore escape after production
without rescattering. Massive photons, or di... |
2,869,038,153,799 | arxiv | \section*{Introduction}
Nuclear magnetic resonance (NMR) experiments performed and directly detected in fields $<1 \,\mu$G \cite{Bernarding2006,Savukov2005,Ledbetter2008,Tayler2017} promise certain advantages over more conventional forms of NMR: the ability to perform ultra-high resolution spectroscopy without expensiv... |
2,869,038,153,800 | arxiv | \section{Introduction}
Theoretical investigation of hadron production in heavy-ion
collisions at high energies is usually separated into different
camps, characterized by the regions of transverse momenta $p_T$ of
the produced hadrons. At low $p_T$ statistical hadronization and
hydrodynamical models are generally used ... |
2,869,038,153,801 | arxiv |
\section{Application to Galois orbits of Heegner points on modular curves}\label{sec:apps}
\subsection{The modular curve $Y_0(N)$}
Let $N\geq1$ be an integer and let $S$ be a scheme over $\Spec \mathbb{Z}\left [\frac{1}{N} \right ]$. An
enhanced elliptic curve $(E,C)$ over $S$ is an elliptic curve $E$ over $S$ toget... |
2,869,038,153,802 | arxiv |
\section{Applications}
\label{sec:applications}
We have three motivations for offloading OS kernel tasks to the GPU:
\begin{compactitem}
\item To reduce the \emph{latency} for tasks that run more
quickly on the GPU than on the CPU
\item To exploit the GPU's parallelism to increase the \emph{throughput}
for ... |
2,869,038,153,803 | arxiv | \section{Introduction}
Maintenance of physical equipment, machinery, systems and even complete infrastructure represents an essential process for ensuring successful operation. It helps minimizing downtime of technical equipment \citep{Heidergott.2010}, eliminate the risk thereof \citep{Groenevelt.1992}, or prolong th... |
2,869,038,153,804 | arxiv | \section{\uppercase{Introduction}}
The ability to accurately classify the sentiment of short sentences such as Facebook posts or tweets is essential to natural language understanding. In recent years, more and more users share information about their customer experience on social media pages related to (and managed by)... |
2,869,038,153,805 | arxiv | \section{Introduction}
Models in which conformal matter of central charge $c$ is coupled to 2d quantum
gravity have attracted considerable interest. Much progress has been
made for the case $c \le 1$, using both continuum and discrete
approaches. The former has yielded
the KPZ formulae~\cite{KPZ,Dav1,DK}, which give as... |
2,869,038,153,806 | arxiv | \section{A good news: a brief paper without answers}
\begin{enumerate}
\item Quantum theory describe physical reality?
\item Wavefunction is only a mathematical expression for evaluating probabilities?
\item The wavefunction is not an objective entity?
\item The time dependence of the wavefunction does not represent t... |
2,869,038,153,807 | arxiv | \section{Introduction}
\label{intro}
In a~systematic study of low-energy states of polymers adsorbed to a~stringlike substrate, we recently found a~variety of different
conformational phases by just changing two basic substrate
properties~\cite{tv10prl}. Among these structures are spherical
droplets attached to the st... |
2,869,038,153,808 | arxiv | \section{Introduction}
Collider experiments at the TeV scale, in particular
the LHC experiments, are
expected to shed light on the mechanism of electroweak symmetry breaking
and to open up new horizons concerning our understanding of elementary particle
interactions.
In order to achieve these goals, expected sig... |
2,869,038,153,809 | arxiv | \section{#1}\setcounter{equation}{0}}
\def\nappendix#1{\vskip 1cm\no{\bf Appendix #1}
\def#1{#1}
\setcounter{equation}{0}}
\renewcommand{\theequation}{#1.\arabic{equation}}
\textwidth = 16truecm
\textheight = 24truecm
\begin{document}
\hoffset = -1truecm
\voffset = -2truecm
\thispagestyle{empty}
\begin{flushr... |
2,869,038,153,810 | arxiv |
\subsection{Irrelevance of short ranged interactions at QCP}\vskip-.25cm
The imaginary-time action describing spinless fermion with short ranged interaction at the QCP ($\mu=0$)
takes the form
\begin{align}
S=\int d\tau\int dx \left\{
\bar{\psi} \left(
\partial_\tau - {\hbar^2\over 2m} \partial^2_x
\right) \psi + ... |
2,869,038,153,811 | arxiv | \section{Introduction}
Censoring and endogeneity are common problems in data analysis. For
example, income survey data are often top-coded and many economic
variables such as hours worked, wages and expenditure shares are
naturally bounded from below by zero. Endogeneity is also an
ubiquitous phenomenon both in experi... |
2,869,038,153,812 | arxiv | \section{Introduction}
A leading approach to quantum information processing is via linear-optical quantum computing (LOQC),
first proposed in 2001 by Knill, Laflamme and Milburn \cite{KLM}. Major progress has been made both on the
theoretical and experimental fronts towards implementation of LOQC. Modifications have... |
2,869,038,153,813 | arxiv | \section{Introduction}
\label{sec:intro}
We consider the following composite linear ill-posed operator
equation~$A x = y$ with
\begin{equation} \label{eq:opeq}
\begin{CD}
A:\; @. X @> D >> Z @> B>> Y
\end{CD}
\end{equation}
where $A=B \circ \E: X \to Y$ denotes the compact linear operator with infin... |
2,869,038,153,814 | arxiv | \section{introduction}
\label{sec:intro}
Correlated Dirac semimetals are one of the most fundamental systems not only in
condensed matter physics but also in high energy physics.
They exhibit semimetal-insulator transitions at some critical strength of interactions $V=V_c>0$
at zero temperature,
and magnetic/charge or... |
2,869,038,153,815 | arxiv | \section{Introduction}
It has become clear by now that the standard Poisson-Boltzmann (PB) theory used to describe and understand the
electrostatic interactions in colloidal systems has severe limitations and can sometimes give qualitatively unreliable
if not outright wrong answers \cite{Naji2010}. There are several... |
2,869,038,153,816 | arxiv | \section{Introduction}
The interplay between correlated electron physics and topology offers tantalizing new functionality where emergent phenomena from many-body interactions are protected at elevated temperatures and energy scales \cite{WKrempa2014,Rau2016,Tokura2017,Keimer2017}. Theoretical investigations into the k... |
2,869,038,153,817 | arxiv |
\section{Basics}
\label{sec-basics}
\noindent
\emph{Finite automata.}
We consider languages over a fixed finite alphabet $A=\{a,b,\ldots\}$
and finite automata (NFAs) of the form $\mathcal{A}=(Q,A,{\cdot},I,F)$ where
``$\cdot$'' denotes the transition function. For $p\in Q$ and $a\in
A$, $p\concatdot a$ is a s... |
2,869,038,153,818 | arxiv |
\section{Introduction}
Suppose you are shown a small, unfamiliar object and asked if it could fit through an M-shaped slot. How might you solve this task? One approach would be to ``rotate" the object in your mind's eye and see if, from some particular angle, the object's profile fits into an M. To put the object th... |
2,869,038,153,819 | arxiv | \section{Impact of heavy resonances on the low-energy electroweak effective theory}
So far the Large Hadron Collider (LHC) has not found any trace of beyond
the Standard Model (BSM) states with masses below 1~TeV.
Likewise, no significant deviation
has been observed in the low-energy interactions between Standard Mode... |
2,869,038,153,820 | arxiv | \section{Introduction}
\label{SecIntro}
It is now widely agreed that the Large Magellanic Cloud (LMC),
the most luminous satellite of the Milky Way (MW), is at a particular
stage of its orbit. Its large Galactocentric velocity ($\sim 328$
km/s) is dominated by the tangential component ($\sim 320$ km/s) and
is much hig... |
2,869,038,153,821 | arxiv | \section{Motivation and Introduction}
Many biomedical and clinical trials are planned as factorial designs. Here, not only the (main) effects of separate factors but also interaction effects that are related to possibly complex factor combinations are of importance.
Such interaction effects
may even alter the interpre... |
2,869,038,153,822 | arxiv | \section{Affine equivalence of $\M mn$ and $\M nm$}\label{sec:affine}
In this section we explicitly describe the affine equivalence between the dual \bm surfaces $\M mn$ and $\M nm$
(see Theorem \ref{thm:Hooper}) that we will use to characterize cutting sequences. As usual, we first describe it through the concrete e... |
2,869,038,153,823 | arxiv | \section{Introduction}
\label{sec1} |
2,869,038,153,824 | arxiv | \section{Introduction and motivation}
\subsection{Introduction}
In this paper, we describe a simple fast algorithm for evaluating expressions of
the form
\begin{equation} \label{eq1}
u_j = \sum_{i=1, i \not = j}^n \frac{\alpha_i}{x_i - x_j}, \quad \text{for}
\quad j = 1,\ldots,n,
\end{equation}
where $\alpha_... |
2,869,038,153,825 | arxiv | \section*{Abstract}
The penetration power of x-rays allows one to image large objects
while their short wavelength allows for high spatial resolution. As
a result, with synchrotron sources one has the potential to obtain
tomographic images of centimeter-sized specimens with sub-micrometer
pixel sizes. H... |
2,869,038,153,826 | arxiv | \section*{Acknowledgment}
We wish to thank H.R Christiansen for a critical reading of the manuscript. The Conselho Nacional de Desenvolvimento Cient\'\i fico e tecnol\'ogico-CNPq is gratefully acknowledged for financial support.
\section*{Dedicatory} R. R. Landim - This paper is dedicated to the memory of my wife, Isa... |
2,869,038,153,827 | arxiv | \section{Introduction}
Blue stragglers (BSs) are an important population component in
stellar evolution as well as in star clusters. These objects have
remained on the main sequence for a time exceeding that expected
from standard stellar evolution theory, and they may affect the
integrated spectra of their host cluste... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.