id
stringlengths
20
20
score
int64
1
5
normalized_score
float64
0.2
1
content
stringlengths
217
3.74M
sub_path
stringclasses
1 value
BkiUd47xK7FjYAb_7pWN
5
1
\section{Introduction} \label{seintro} Let $\mathcal{N}$ be a non-Archimedean ordered field extension of $\ensuremath{\mathbb{R}}$ that is real closed and complete in the order topology and whose Hahn group $S_\mathcal{N}$ is Archimedean, i.e. (isomorphic to) a subgroup of $\ensuremath{\mathbb{R}}$. Recall that $S_{\m...
train/arxiv
BkiUfuXxK0wg05VB91M5
5
1
\section{INTRODUCTION} Motivated by the Callan-Rubakov effect in the context of magnetic monopoles \cite{callan}, studies have been carried out recently on the possibility that cosmic strings can also catalyze baryon-number violation with strongly enhanced cross sections. It has been shown that the wave function of a f...
train/arxiv
BkiUdB7xK7IDF1Ddtq1d
5
1
\section{\protect\large \bf Introduction} \hspace{2em}Since the discovery of high-T$_c$ superconductivity,$^1$ intensive theoretical work has been carried out to understand its properties. Much of this effort was devoted to the analysis of two dimensional electronic models,$^2$ in particular, the Hubbard$^3$ and $t - ...
train/arxiv
BkiUarzxK2li-LM1PiPP
5
1
\section{Introduction} For any linear map $\Phi:M_{d_1}(\mathbb C) \to M_{d_2}(\mathbb C)$, we define its \emph{Choi-Jamio{\l}kowski matrix} as \begin{equation}\label{eq:def-J} J(\Phi) := \sum_{i,j=1}^{d_1} |i\rangle \langle j| \otimes \Phi(|i\rangle \langle j|) \in M_{d_1}(\mathbb C) \otimes M_{d_2}(\mathbb C). \end{...
train/arxiv
BkiUddU4uzlhrI4X8QHl
5
1
\section{\hspace{-10pt}} \section{The hardest logic puzzle ever} \begin{defn}[The Hardest Logic Puzzle Ever] \label{def:3GodsPuzzle} Three gods ($\gamma_1,\ldots,\gamma_3$) will answer three yes or no questions. Each question is to be directed at one god at a time. The gods answer with the word `$\chi$' (or `\_') but ...
train/arxiv
BkiUdizxaKgQGdQApUFb
5
1
\section{Introduction}\label{intro} Polar Ring/Disk Galaxies (PRGs) are multi-spin systems. The polar structure is made by dust and gas that rotates in a perpendicular plane with respect to the stars of the central galaxy \citep[see][as a review]{Iod2014}. A "second event" is invoked in the formation history of PRGs i...
train/arxiv
BkiUc_Y5qhLA5_F8juOy
5
1
\section{Introduction} Let $\Gamma$ be a finitely generated group and let $S$ be a finite set of generators for $\Gamma$. The group $\Gamma$ embeds as a cocompact, discrete subgroup in the automorphism group of its Cayley graph with respect to $S$, which is a totally disconnected, locally compact group. ...
train/arxiv
BkiUbMU5qWTD6essZRcR
5
1
\section{Introduction} This demo file is intended to serve as a ``starter file'' for IEEE conference papers produced under \LaTeX\ using IEEEtran.cls version 1.8b and later. I wish you the best of success. \hfill mds \hfill August 26, 2015 \subsection{Subsection Heading Here} Subsection text here. \subsubsection{...
train/arxiv
BkiUddQ4uBhi4In9Ya_Y
5
1
\section{Heavy hadron lifetimes} Lifetimes are fundamental properties of particles, which connect deeply with their dynamics. Improved lifetime determinations of heavy hadrons probe the interplay of the strong and weak interactions between constituent partons, stimulating further refinement of the phenomenological und...
train/arxiv
BkiUdwHxK0fkXQzmMBqp
5
1
\section{Introduction} In 1975, T. Koornwinder (\cite{Koor75}) introduced a non--trivial method to generate orthogonal polynomials in two variables using univariate classical Jacobi polynomials. In fact, he studied some classes of {\it two--variable analogues of the classical orthogonal polynomials}, and he proved tha...
train/arxiv
BkiUdBI4uzlhipPcvbd7
5
1
\section{Introduction} \label{Introduction} As our world becomes better connected and more open ended, and autonomous agents are no longer science fiction, a need arises for enabling groups of agents to cooperate in generating a plan for diverse tasks that none of them can perform alone, in a cost-effective manner....
train/arxiv
BkiUcIDxK6-gD5TlcefH
5
1
\section{Quantum channels} Quantum channels, or completely-positive trace-preserving maps, are the most general maps between quantum systems. They enjoy a diverse range of applications, primarily in the quantum information community \cite{caruso2014}, but also in studies of matrix product states \cite{Fannes1992,Perez...
train/arxiv
BkiUdf05qsBB3XW1f7AP
5
1
\section{Introduction} One of the most outstanding problems in gravitation theory is the study of the relation that exists between the critical phenomena and the process of black hole formation. The studies of non-linearity of the Einstein field equations near the threshold of black hole formation reveal very rich p...
train/arxiv
BkiUbojxaJJQnMJkW1AU
5
1
\section{Introduction} Code-based cryptography relies crucially on the hardness of decoding generic linear codes. This problem has been studied for a long time and despite many efforts on this issue \cite{P62,S88,D91,B97b,MMT11,BJMM12,MO15} the best algorithms for solving this problem \cite{BJMM12,MO15} are exponent...
train/arxiv
BkiUdkg5qWTBEb4NrwPM
5
1
\section{Introduction} \vspace{-4px} \textcolor{blue}{While autonomous robots are able to accomplish an increasing variety of tasks, a key challenge that still remains is \emph{how} they should pursue and trade off between their goals. In recent years,} there has been significant work on interactively learning user pre...
train/arxiv
BkiUdv45qoYA4xX7GGvl
5
1
\section{Introduction} Quantum computation is believed to be more powerful than classical computation, mainly due to the celebrated Shor algorithm\cite{Shor94}. It is yet unclear whether and how quantum computers will be physically realizable,\cite{Loyd93,DiV95,CZ} but as any physical system, they {\em in principle} ...
train/arxiv
BkiUc_k4dbggz-0vznT6
5
1
\section*{Abstract} In this note we discuss the possibility of detecting the accompanying X-ray emission from sources of fast radio bursts with the eROSITA telescope onboard the Spektr-RG observatory. It is shown that during four years of the survey program about 300 bursts are expected to appear in the field o...
train/arxiv
BkiUdA85qdmC_F6-OlU0
5
1
\section{Introduction} \label{sec:intro} Over the last three decades, software development has been revolutionized under the combined effect of the massive adoption of free and open source software (FOSS\xspace), and the popularization of collaborative development platforms like GitHub, Bitbucket, and SourceForge~\cit...
train/arxiv
BkiUaS825V5hcGj03Sza
5
1
\section{Introduction} \label{IntroSect} The article discusses one of the basic objects of Interval Analysis, namely, the concept of interval. Recall that classical intervals are closed, connected, and bounded subsets of the real line $\mbb{R}$, i.e., sets of the form \begin{equation} \label{UsualInterval} ...
train/arxiv
BkiUci45qoYDgaG4QfBB
5
1
\section{Introduction} \label{sec:intro} The existence of an exotic form of energy with negative pressure, dubbed ``dark energy'', is one of the most widely involved mechanism to explain the accelerating universe. The most popular dark energy models mainly include the $\Lambda$CDM model and the scalar-field dark energy...
train/arxiv
BkiUeFjxK7kjXLSrGPj_
5
1
\section{Introduction} Transiting exoplanets present unique opportunities for observational study. It is only for these planets that masses, radii, and atmospheric properties together may be determined. These data give important insight into the planets' structures, and thus, their formation and evolutionary history as...
train/arxiv
BkiUdW05qsJBjms2Yf3o
5
1
\section{Introduction} Heterodyne-detected optical Kerr effect (HD-OKE) has been widely used since more than twenty years for the investigation of dynamical properties of molecular liquids. Not surprising, a remarkable fraction of this work has been dedicated to the study of liquid water, often in relation to the hypo...
train/arxiv
BkiUbGg5qX_AYyuLNCQX
5
1
\section{Introduction} Bismuth selenide and bismuth telluride have recently attracted considerable attention as prototypical topological insulators. The electronic band structure has a negative band gap at $\Gamma$, resulting in an odd number of closed surface state Fermi contours around the centre of the surface Brill...
train/arxiv
BkiUdq45qhDBbAkZEpOj
5
1
\section{Introduction}\label{intro} We consider quasilinear ellitic partial differential equations, in a possibly anisotropic medium. From the mathematical viewpoint, the anisotropy is responsible for a much richer geometric structure than the usual Euclidean geometry. However, the main interest rests in concrete app...
train/arxiv
BkiUaznxK4sA-7sDc65M
5
1
\section{Introduction} \label{parintroduction} Type Ib supernovae (SNe) are observationally defined by the absence of hydrogen (H) and presence of helium (He) in their spectra at early phases. They are thought to come from massive stars (M $\ge$ 8 M$_{\odot}$) which have lost their H envelope, but retained part of thei...
train/arxiv
BkiUduLxaKgQHaLUvi-g
5
1
\section{Introduction} The discovery of a SM-like Higgs boson in Run~I of the Large Hadron Collider (LHC)~\cite{ATLASdiscovery,CMSdiscovery} marks a milestone in the exploration of electroweak symmetry breaking (EWSB). Within experimental and theoretical uncertainties, the properties of the new particle are compatibl...
train/arxiv
BkiUcmHxK1yAga6JrXqy
5
1
\section{Introduction}\label{intro} Intense theoretical effort is currently devoted to the understanding of the Casimir effect for real experimental setups. This involves the impact of temperature, finite conductivity, engineered materials, and may identify routes to \emph{design} the final Casimir pressure. Almost ...
train/arxiv
BkiUboA5i7PA9AjsOr1i
5
1
\section{Introduction} Thermionic electron emission cathodes based on porous, polycrystalline W combined with mixtures of metal oxides (typically $\mathrm{BaO-CaO-Al_2O_3}$) marked a significant evolutionary step in the history of thermionic cathodes, as these dispenser cathodes produce high-current-density emission wi...
train/arxiv
BkiUdWU4eIZjwV-u5t1T
5
1
\section*{Introduction} There are many mechanisms of primordial black hole (PBH) formation. Specific feature of such objects is that they can be formed in a very broad mass range even if a mechanism is chosen. Depending on mass, PBHs could play different roles in cosmology and astrophysics. PBHs with mass ranging $1-1...
train/arxiv
BkiUdtc4uzlh0_z-ebAM
5
1
\section{Introduction} In this paper, we study the nonlinear operator equation \begin{equation}\label{Op.eqn} A(\hat f)=\hat g \end{equation} with the infinite dimensional separable real Hilbert spaces~$\mathcal H$ and~$\mathcal H'$ with the inner products~$\scalar{\cdot}{\cdot}{\mathcal H}$ and~$\scalar{\cdot}{\cdot}{...
train/arxiv
BkiUbs7xaJJQnKrAjEp4
5
1
\section{Introduction} The wetting and adhesion of soft materials have recently become a quickly expanding domain and finds applications in the design of innovative materials (adhesives~\cite{Li378}, slippery surfaces~\cite{Newton2011}, highly stretchable electronics~\cite{Rogers1603}), to analyse the mechanics of cell...
train/arxiv
BkiUb_DxK3xgpfdGO506
5
1
\section{Introduction} The main purpose of this paper is to calculate a heat kernel on $SL(2,\mathbb{R})$ explicitly, where we treat $SL(2,\mathbb{R})$ as a Riemannian manifold equipped with a certain invariant metric. The main theorem (Theorem \ref{MyThm1}) is stated at the end of Section 7. First of all, we present ...
train/arxiv
BkiUfEw4uzliDEmfg_ZT
5
1
\section{Introduction} The standard model (SM) of electroweak interactions can be considered as a baronial theory of fundamental interactions of nature. Ever since the discovery of weak neutral currents in 1973 in a neutrino scattering experiment in the Gargamelle bubble chamber at CERN, SM has been substantiated throu...
train/arxiv
BkiUdrQ4uBhi65FQgk2x
5
1
\section{Introduction} Control over communication networks has been a hot research topic in the past decade \cite{Zaidi2014}. This is mainly motivated by the rapid development of wireless communication technology that enables the connection of geographically distributed systems and devices. However, the insertion of w...
train/arxiv
BkiUazA5qhLACAkw_AUl
5
1
\section{Introduction} Basic justification stit (or jstit, for short) logic was introduced in \cite{OLWA} as an environment for analysis of doxastic actions related to proving activity within a somewhat idealized community of agents, combining expressive means of stit logic by N. Belnap et al. \cite{belnap2001facing} ...
train/arxiv
BkiUdKE5qoYAo52VqNL7
5
1
\section{Conclusion}\label{sec:conclusion} \section{Challenges and Directions}\label{sec:challenges} Now we highlight various directions that pose challenges in research on DNS: we call for more research based on data, and data-driven analysis (\ref{sec:datadriven}), privacy as a plug-in (\ref{sec:privacyplugin...
train/arxiv
BkiUeIs5qYVBjUFKcLKx
5
1
\section{Introduction} Bose--Einstein condensation (BEC) has been a field of growing interest in the last two decades, meanwhile proven in various systems including atoms, molecules, magnons, polaritons, etc. To establish BEC of excitons in a bulk semiconductor (proposed already in the 1960s \cite{moskalenko1962,blatt...
train/arxiv
BkiUeYPxaJiQn7ar4rE9
5
1
\section{Introduction} While the idea of cosmic inflation was introduced about 40~years ago to solve inherent problems with the canonical hot big-bang model \citep{Brout77, Starobinsky80, Kazanas80, Sato81,Guth80, Linde81, Albrecht82, Linde83}, attention quickly focused on using it as a means to generate cosmological...
train/arxiv
BkiUfWU5qhDCZSoNyAvC
5
1
\section{Introduction} The work of Bent J\o{}rgensen is rich and deep. Working on the foundations of generalized linear models (GLMs) he gave the main steps in the construction of the theory of exponential dispersion models (EDMs), a class of parametric families of one-dimensional distributions. The necessity of expa...
train/arxiv
BkiUdl44uzlhiT5TDEIU
5
1
\section{Introduction} As is known, such physical processes as gravitational collapse and turbulence compression play a key role in creation and evolution of star formation regions over the wide range of scales, from star complexes over OB associations down to compact embedded clusters and to clumps of young stars...
train/arxiv
BkiUdP84ubnhAvmH6222
5
1
\section{Introduction} For a holomorphic map $F:N^n\to P^p$ between compact complex manifolds one can consider the set of points $\eta(F)$ in the source manifold $N$ where the map has a certain kind of singularity $\eta$. The Thom polynomial $\Tp(\eta)$ of $\eta$ is a multivariate polynomial depending only on $\eta$, ...
train/arxiv
BkiUbLQ241xg-HfkrnQS
5
1
\section{Introduction} This paper considers online gradient descent and the online proximal-gradient methods for dynamic optimization and learning~\cite{popkov2005gradient, towfic2013distributed,bedi2018tracking,selvaratnam2018Numerical,yi2016tracking, mokhtari2016online,chang2021online,besbes2015non}. Because of the...
train/arxiv
BkiUbpg4uzlgp_siTS2o
5
1
\section{\label{sec:intro}Introduction} When a charged particle is accelerated it radiates electromagnetic energy according to the Li\'enard formula \cite{Jackson1999_classical_electrodynamics}. The energy lost comes from the particle's kinetic energy and consequently a reaction force must act on the radiating particl...
train/arxiv
BkiUapzxK6wB9lIs6jib
5
1
\section{Introduction}\label{sec:intro} Minimizing convex functions is fundamental in optimization, both in theory and in the algorithm design. For most applications, the assertions that can be made about a class of convex functions are of greater value than those concerning a particular problem. This theoretical analy...
train/arxiv
BkiUdLA4ukPiEbA1tD4c
5
1
\section{Introduction} The task of guaranteeing given patterns in a sufficiently large set has been a central problem in different areas of mathematics for a long time. Perhaps the most famous example is the celebrated theorem of Szemer\'edi \cite{szemeredi}, which states that any sequence of positive integers with po...
train/arxiv
BkiUbJrxK6-gD0SrbWef
5
1
\subsubsection*{Acknowledgement} We thank Sridhar Arunachalam, David Brandfonbrener, Irmak Guzey, Yixin Lin, Jyo Pari, Abitha Thankaraj, and Austin Wang for their valuable feedback and discussions. This work was supported by awards from Honda, Meta, Hyundai, Amazon, and ONR award N000142112758. \section*{Appendix} \s...
train/arxiv
BkiUdgM4eIXh58QxsnrN
5
1
\section{Introduction} Direct simulation Monte Carlo method (DSMC)\cite{Bird94} is a standard method to solve the Boltzmann equation numerically. In this method one divides space into cells of volume $V_{k}$ $(k=1,2,3,...)$ and takes a large number ($N$) of simulated particles ($10^{3}-10^{6}$) to represent real gas m...
train/arxiv
BkiUejnxK7IDND_hDel8
5
1
\section{Introduction} In this paper we derive exact solutions for a diffusive predator-prey system \cite{pet}, \begin{eqnarray} u_t &=& u_{xx}-\beta u+(1+\beta)u^2-u^3-uv \nonumber \\ v_t &=& v_{xx}+kuv-mv-\delta v^3 \label{qqq1} \end{eqnarray} where $k$, $\delta$, $m$ and $\beta$ are positive parameters. Subscripts $...
train/arxiv
BkiUePnxK1UJ-rWoKVsL
5
1
\subsection*{\contentsname}\vspace{-2mm}\@starttoc{toc}} \newcommand{na\"{\i}ve}{na\"{\i}ve} \usepackage[nosort]{cite} \usepackage{collect} \renewcommand{\vec}[1]{{\bf #1}} \newcommand{\mathcal{N}}{\mathcal{N}} \newcommand{\Sigma \mspace{-10mu} \big/ }{\Sigma \mspace{-10mu} \big/ } \newcommand{\overset{!...
train/arxiv
BkiUcG45jDKDyDz_8G-f
5
1
\section{INTRODUCTION} \label{INTRODUCTION} Gas fueling to a galactic center is very important for activity of active galactic nuclei, growth of supermassive black holes (SMBHs), nuclear starbursts, formation of super star clusters in a galactic central region, and other interesting phenomena. Our galaxy is very inte...
train/arxiv
BkiUbzHxK1yAgXBVDch7
5
1
\section{Introduction and Previous Work} Datasets play an important role in driving research in supervised machine learning research. Some prominant examples being MNIST \cite{lecun-mnisthandwrittendigit-2010} for hand written digit classification, CIFAR10 \cite{cifar10} and IMAGENET \cite{imagenet} for image classific...
train/arxiv
BkiUeivxK7DgtAAQJ0G-
5
1
\section{Introduction}\label{sec:intro} Word clouds and tag clouds are popular tools for visualizing text. The practical tool, Wordle~\cite{wordle09}, took word clouds to the next level with high quality design, graphics, style and functionality. Such word cloud visualizations provide an appealing way to summarize the...
train/arxiv
BkiUdVA4ubng9ckPcZDG
5
1
\section{Introduction} Compressive sensing (CS) initially emerged around the year 2006 \citep{Donoho2006,Candes2006}. The aim of CS is to recover a $s$-sparse signal $\mathbf{x}\in \mathbb{C}^N$ from $m$ noisy observations $\mathbf{y} \in \mathbb{C}^m$: \begin{align*} \mathbf{y}=A\mathbf{x}+\mathbf{e} \tag{1} \end{alig...
train/arxiv
BkiUbdw5qsMAIwbUZ5x_
5
1
\section{Introduction} \label{sec:intro} According to the standard \lcdm model of structure formation, small overdensities seeded by quantum fluctuations in the homogeneous matter fields of the early Universe grew through gravitational collapse into structures. Prior to Recombination ($z\sim1100$), overdensities of ...
train/arxiv
BkiUdh05qhLBXU5kwL-D
5
1
\section{Introduction} \setcounter{equation}{0} Among other physical phenomena, the integrable dilute O($n$) model on the square lattice \cite{N:90a} is relevant to self-avoiding polymer chains in the bulk \cite{N:90b,N:90c}. The partition function of the dilute O($n$) model is defined by \cite{N:90a,WN:93} \beg...
train/arxiv
BkiUduE4uBhjC0FRTeL3
5
1
\section{Introduction} \label{sect_intro} In this paper, we aim to study high-order time discretization methods to preserve the maximum bound principle (MBP) of a class of semilinear parabolic equations taking the following form \begin{equation} \label{model_pde} u_t = \mathcal{L} u + \mathcal{N}[u], \end{equation} w...
train/arxiv
BkiUfFXxK0fkXPSOrIUo
5
1
\section{Conclusion} This paper proposes a tracking method referred to as the Adaptive Aggregation of Arbitrary trackers (AAA) for robust online tracking. The performance of individual trackers varies significantly with different image sequences, creating variations in simple aggregation strategies. The propos...
train/arxiv
BkiUc8g4uzlhge3-E2CA
5
1
\section{INTRODUCTION} The discovery of the H mode with enhanced confinement in ASDEX [1] had openned a new age of tokamak fusion research. Extensive experimental works were performed to identify the key procedures and signatures that carried the L to the H confinement mode [2,3]. These procedures included pellet...
train/arxiv
BkiUeA05qsNCPbQZ72wt
5
1
\section{Introduction} A standard tool in quantum field theory (QFT) is to probe the theory with non-dynamical sources, or background fields. The consequences of symmetries can then be systematically analyzed by assigning spurious transformation rules to the background fields. In supersymmetric theories, all sources m...
train/arxiv
BkiUeA44dbghU_Qx7pbf
5
1
\section{Introduction} The existence of black hole singularity is one of the most fundamental question in physics. The Penrose cosmic censorship hypothesis asserts that the spacetime singularities need to be hidden from an observer at infinity by an event horizon, which blocks all of the information within it \citep{H...
train/arxiv
BkiUdsE5qX_BxeH2UDVK
5
1
\section{Introduction} \label{intro} The Bureau of Transportation Statistics reports that between October $2018$ and October $2019$, delays caused by late aircraft arrivals amounted to 40+ million minutes, which is $39.47\%$ of the total delays experienced by the flights of reporting carriers \cite{bts}. This highlig...
train/arxiv
BkiUc904dbgg2jQDlZNV
5
1
\section*{Introduction} The study of \ensuremath{e^{+}e^{-}\,} annihilation has always been one of the most useful means of exploring QCD and determining a value for $\ensuremath{\alpha_s}(M_z)$, the strong coupling constant. Multi-jet rates\footnote{The $n$-jet rate is defined as $R_{n}(Q) = \sigma_{n\textrm{-}jet...
train/arxiv
BkiUfwDxK4tBViZLH_oR
5
1
\section*{\abstractname}% \else \small \list{}{% \settowidth{\labelwidth}{\textbf{\abstractname:}} \setlength{\leftmargin}{50pt} \setlength{\rightmargin}{50pt} \setlength{\itemindent}{\labelwidth} \addtolength{\itemindent}{\labelsep} } ...
train/arxiv
BkiUfeg4uzliDHHXlhFi
5
1
\section*{Introduction} New and proposed experiments to study the cosmic-ray spectrum up to $10^{20}$~eV and beyond \cite{Abu-Zayyad97a,Boratav92a,Teshima97a,Ormes96a,Linsley97a,Linsley97b} will depend for their interpretation on extrapolations of models of hadronic interactions more than two orders of magnitude in ce...
train/arxiv
BkiUe845qhDCTY2qMvI1
5
1
\section{Introduction} \label{} T CrB is one of the few known Galactic recurrent novae (Warner 1995, Schaefer 2010), with outbursts recorded in 1866 and 1946. They have been spectacular events, peaking around 2.0 mag (Pettit 1946), displaying nearly identical lightcurves characterized by an extremely fast rise to max...
train/arxiv
BkiUc2A5qoTAmEQQopb8
5
1
\section{Introduction and preliminaries} Let $\A$ denote the family of functions $f$ that are analytic in the unit disk $\D =\{z:\, |z|<1\}$ and normalized by $f(0)=f'(0)-1=0$ and let $\es\subset \A $ be the class of all univalent functions. In \cite{Duren-1983-book, A-W-Goodman-1983-book}, Various subclass of univale...
train/arxiv
BkiUdvk5qoTDtv38v2Dq
5
1
\section*{Acknowledgements} The authors thank P. von Brentano and H. Lenske as well as many participants of the Trento workshop 2012 on ``The Nuclear Dipole Polarizability and its Impact on Nuclear Structure and Astrophysics" for discussions. We further acknowledge the support of the accelerator staff at KVI and at HI$...
train/arxiv
BkiUdmo5ixsDMO6yuSNd
5
1
\section*{Introduction and formulation of the problems} \label{section0} \setcounter{equation}{0} Let $\cS\subset\bR^3$ be some closed orientable surface, bordering a compact inner $\Omega^+$ and outer $\Omega^-:=\bR^3\setminus\ov{\Omega^+}$ domains. By $\cC$ we denote a subsurface of $\cS$, which has two faces $\cC^-...
train/arxiv
BkiUdLc4uzlhbeH0Zq7j
5
1
\section{Some concentration inequalities} \subsection{Concentration for independent non-identically distributed exponential random variables}\label{appendix_concentration_for_nonid_exp_rvs} \begin{restatable}{lemma}{lemmaWeightedExpChernoff}\label{Lemma_weighted_exp_chernoff} Let $\mathbf{u}\in\ensuremath{\mathbb{R}}...
train/arxiv
BkiUc9w5i7PA9O6rSzoY
5
1
\section{Introduction} \label{sec:intro} One of the most important limitations to the sensitivity of long baseline gravitational wave detectors such as LIGO~\cite{Abramovici}, VIRGO~\cite{VIRGO}, GEO 600~\cite{GEO},and TAMA~\cite{tama} is thermal noise associated with the test masses and their suspensions. Designs for ...
train/arxiv
BkiUd144ukPiEekATC2U
5
1
\section{Introduction} Numerical simulations are an important tool in understanding complex problems in physics and engineering systems. Many of these phenomena are multi-scale in nature, and are governed by nonlinear partial differential equations (PDEs). With a wide range of scales at realistic conditions, like turb...
train/arxiv
BkiUd1HxK6wB9k0iMHJ5
5
1
\section{Introduction} Transition metal oxides (TMO) exhibit a plethora of fascinating physical behaviors, such as metal-insulator transitions~\cite{imada98}, multiferroicity~\cite{cheong07,tokura10,tokura14}, colossal magnetoresistance~\cite{ramirez97, tokura06}, and high-temperature superconductivity~\cite{pickett89,...
train/arxiv
BkiUeVo4dbghe2kmZUGI
5
1
\section{Introduction} High-energy physics uses quantum field theory mainly to describe scattering experiments through the S-matrix. In solid-state or molecular physics, we are rather interested in the value of physical observables, such as the charge and current densities inside the sample or the response to an ext...
train/arxiv
BkiUcGvxK7Dgs_cY42_H
5
1
\section{Introduction} The semitaunic decays $B\to D^{(\ast)}\tau\nu_{\tau}$ have drawn a lot of attention in recent years as sensitive probes of NP \cite{Hou,Chen:2006nua,Nierste,Tanaka:2010,Fajfer:2012vx,Bhattacharya:2015}. The present experimental status is summarized in Fig. \ref{fig_belle} \cite{belle_talk}. \b...
train/arxiv
BkiUddI5qX_BjprW8pye
5
1
\section{Introduction} \label{sec:intro} Separated flows over lifting surfaces have been studied extensively due to their critical importance in aerodynamics and hydrodynamics. Over the past few decades, substantial studies have been dedicated to the understanding of post-stall flows over finite-aspect-ratio wings \ci...
train/arxiv
BkiUc5_xK4sA-7sDey5X
5
1
\section{Introduction} \label{intro} To date, all gaseous quantum condensates have been produced by evaporative cooling of confined atoms. Confinement is necessary to thermally isolate the particles from the warmer environment and long confinement times are necessary because the evaporative cooling process can take ten...
train/arxiv
BkiUd8XxK7IDPADJ3_fZ
5
1
\section{INTRODUCTION} Improvements of the Kogut-Susskind quark action may allow extraction of continuum physics from coarser lattices than would be required with the simplest formulation. This is especially important for full QCD simulations, which are much more time consuming than quenched calculations. Improvemen...
train/arxiv
BkiUbV85qhLACAkw_mNc
5
1
\section{Introduction} Information shared on social networks is ever increasing and users are often overwhelmed by the number of posts (e.g., tweets) they receive. Many of the incoming posts are of marginal or no interest to their recipients. Consequently, interesting posts may be ignored or overlooked by time-constra...
train/arxiv
BkiUgjfxK7IDPADJ5IrX
5
1
\section{Introduction} It is impossible to isolate a quantum system from its surroundings leading to information loss in the form of dissipation and decoherence. The theory of open quantum systems offers the necessary tools for describing and analyzing the interactions of a system with its surrounding \cite{Breuer}. I...
train/arxiv
BkiUeAk5jDKDyJzsKrfv
5
1
\section{Introduction} \label{s:intro} As more scientists and engineers use computer simulations, some begins to harness the versatile power of sensitivity analysis. It helps them engineer products \cite{Jameson1988,adjoint2}, control processes and systems \cite{adjoint1,bewley01}, solve inverse problems \cite{seismic...
train/arxiv
BkiUd4k5qhLBP6tbp6Xw
5
1
\section{Introduction} Astrophysical compact objects are often observed as luminous sources of nonthermal radiation. Their activity demonstrates efficient dissipation of macroscopic energy stored in magnetic fields and in plasma bulk motions, often in the form of powerful flares. These processes energize plasma part...
train/arxiv
BkiUbxbxaJJQnH0ll25k
5
1
\section*{Acknowledgements} This publication has received funding from the Excellence Initiative of Aix-Marseille Universite - A*Midex, a French "Investissements d'Avenir programme" (AMX-21-IET-017), and the UnLIR ANR project (ANR-19-CE23-0009). Part of this work was performed using HPC resources from GENCI-IDRIS (Gran...
train/arxiv
BkiUebrxK1yAgWt7_foE
5
1
\section{Introduction} Long ago \cite{frsw} it was suggested that Korteweg - de Vries solitons might be formed in the nuclear medium. In a previous work \cite{nois} we have updated the early works on the subject introducing a realistic equation of state (EOS) for nuclear matter. We have found that these solitary w...
train/arxiv
BkiUdyw4eIOjSM_xsClc
5
1
\section{Introduction}\label{1} Three dimensional CR structures are among the examples of geometric structures for which Elie Cartan constructed an associated normal Cartan connection, see \cite{Cartan}. The homogeneous model for this geometry is $S^3$, viewed as a quotient of the semisimple group $G:=PSU(2,1)$ by a pa...
train/arxiv
BkiUd5jxK7FjYEXSFgHX
5
1
\section{Introduction and Overview} While analysing the compatibility problem of coherent sets of gambles, Miranda and Zaffalon \cite{mirzaffalon20} have recently remarked that their main results could be obtained also using the theory of information algebras \cite{kohlas03}. This observation has been taken up and deep...
train/arxiv
BkiUfF45qhLBqN_YUZus
5
1
\section{Introduction} Quantum sensing or quantum metrology \cite{Giovannetti_2011,Toth_2014,Pezze_2018} is one of the most promising applications of an upcoming quantum technology. Measuring quantities with ever higher precision lies at the heart of most natural sciences, and accordingly high precision measurements ar...
train/arxiv
BkiUaCA25V5hegR8Wmpm
5
1
\section{Introduction} \label{Introduction} Deep models have become the de-facto approach for prediction in many applications like image classification (e.g. \cite{krizhevsky2012imagenet}) and machine translation (e.g. \cite{bahdanau2014neural,sutskever2014sequence}) and further seem poised to advance prediction in re...
train/arxiv
BkiUdvE5qsJBjXav9AvP
5
1
\section{\large{Author Bios}}\label{sec:bio} The authors have extensive experience in the field of web-scale search and recommendation systems, and in particular, in applying data mining, machine learning, and information retrieval techniques in the talent search domain. They have built and deployed multiple generation...
train/arxiv
BkiUdEk4uzlhYyxW3gSq
5
1
\section{Introduction} \label{INTRODUCTION} The usual approach to extra dimensions in string theory is to consider a direct product, \eqn{Direct}{ ds_{10}^2 = -dt^2 + d\vec{x}^2 + d\tilde{s}_6^2 \,, } where $d\tilde{s}_6^2$ is, for example, the metric of a Calabi-Yau three-fold, as in \cite{Candelas:1985en}. This...
train/arxiv
BkiUZrg25V5ha7jY6jW4
5
1
\section*{} Functions entering into polarized cross sections:\footnote{The coefficients corresponding to $\langle{\mathcal O}_8^{\psi'} (^1S_0)\rangle$ production can be obtained from Ref.~\cite{ChoLeibov2} and will not be repeated here.} $ q q \to \psi^{(\lambda)} g $: \begin{mathletters}\label{qq} \begin{eqnarray} ...
train/arxiv
BkiUc2k4dbgg3WyisoDR
5
1
\section{Introduction} \label{intro} Finding new localized wave solutions, studying their dynamics in the nonlocal integrable equations and obtaining new integrable equations from the nonlocal reductions are active areas of research in the study of integrable systems. Recently in \cite{1}, Ablowitz and Musslimani intro...
train/arxiv
BkiUa7w5qWTD6cbkrjmA
5
1
\section{Introduction}\label{intro} The realm of strong-field physics has become a focal point of interest in the atomic, molecular, and optical physics community over the last two decades. This was particularly supported by the rapid development of lasers producing high intensities ($10^{14}-10^{15}$~W/cm$^2$) that ...
train/arxiv
BkiUc2w5qsBC7daIebKD
5
1
\section{Introduction} Cloud computing is a new paradigm where companies make money by providing computing service through the Internet. In cloud computing, users buy software and hardware resources from a provider and access to these resources through the Internet so they do not have to install and maintain by themsel...
train/arxiv
BkiUbNk4ukPiEYTwk1NY
5
1
\section{Introduction} \label{sec:introduction} \subsection{Sparsity regularization in X-ray CT} Sparsity-regularized (SR) image reconstruction has shown great promise for X-ray CT. Many works, e.g, \cite{SidkyTV:06,song2007sparseness,sidky2008image,chen2008prior,Bian:10,ritschl2011improved}, have demonstrated that acc...
train/arxiv
BkiUeynxK7ICUn2IaXky
5
1
\section{Acknowledgement}\label{sec:Acknowledgement} The work described in this paper was supported by the Research Grants Council of the Hong Kong Special Administrative Region, China (No. CUHK 14206921 of the General Research Fund) and Australian Research Council (ARC) Discovery Projects (DP200102940, DP220103044). ...
train/arxiv
BkiUc0M25YjgKNDlU8PN
1
0.2
\section{Introduction} \label{sect:intro} The forthcoming Extremely Large Telescopes (ELTs)\renewcommand{\elt}{ELT\xspace}\renewcommand{\elts}{ELTs\xspace}\renewcommand{European Extremely Large Telescope (E-ELT)\renewcommand{\eelt}{E-ELT\xspace}\renewcommand{\elt}{ELT\xspace}\renewcommand{\elts}{ELTs\xspace}\xspace}{Eu...
train/arxiv
BkiUgefxK7IAEwOJKP8-
5
1
\section{Introduction} Quark-hadron duality, in its most general form, is the notion that certain rates for processes involving hadrons can be computed simply as the underlying partonic rates\cite{Bloom}. Duality allows us to compute many quantities which would otherwise be hopelessly difficult. One common applicat...
train/arxiv
BkiUc3U5qhDACkwuRnx2
5
1
\section{Introduction} Understanding planetary systems formation and evolution has become one of the biggest challenges of astronomy, since the imaging of a debris disk around $\beta$~Pictoris in the 80's (\cite{smith84}) and the discovery of the first exoplanet around the solar-like star 51~Pegasi during the 90's (\c...
train/arxiv
BkiUbgE4ukPiES_fI3Ic
5
1
\section{Introduction} \label{section:intro} The production of heavy quarkonium at hadron colliders provides particular challenges and opportunity for insight into the theory of Quantum Chromodynamics (QCD) as its mechanisms of production operate at the boundary of the perturbative and non-perturbative regimes. Despi...
train/arxiv
BkiUc7nxaKgTv2K-T8L3
5
1
\section*{INTRODUCTION} NB-IoT is a cellular protocol intended for service of massive number of devices in the internet of things (IoT). NB-IoT is a stripped down version of LTE, which removes much complexity from user equipment (UE) and utilizes narrow-band (NB) transmissions to achieve a better link budget. NB-IoT fu...
train/arxiv