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\section{Introduction}
Morphology systems, lemmatisers and part-of-speech taggers are some of the
basic tools in natural language processing. There are numerous applications,
including syntax parsing, machine translation, automatic indexing and semantic
clustering of words. Unfortunately, for languages other than Engl... | {'timestamp': '1996-10-30T18:34:39', 'yymm': '9610', 'arxiv_id': 'cmp-lg/9610006', 'language': 'en', 'url': 'https://arxiv.org/abs/cmp-lg/9610006'} |
\section{Introduction}
Hartshorne conjectured that every smooth, codimension $c$ subvariety of $\bP^n$, with $c<\frac{1}{3}n$, is a complete intersection~\cite[p.~1017]{hartshorne-bulletin}.
We prove this in the special case when $n\gg \deg X$.
\begin{theorem}\label{thm:more general}
There is a function $N(c,e)$ such... | {'timestamp': '2018-04-27T02:00:36', 'yymm': '1804', 'arxiv_id': '1804.09730', 'language': 'en', 'url': 'https://arxiv.org/abs/1804.09730'} |
\section{Introduction\label{sec:Introduction}}
For a Fermi gas at zero temperature, a Fermi surface(FS) naturally arises as the boundary separating
the occupied and empty states in $(\omega,\mathbf{k})$-space.
As is known, when weak interactions/perturbations
and disorders are introduced, some FSs still survive tho... | {'timestamp': '2013-06-27T02:01:44', 'yymm': '1211', 'arxiv_id': '1211.7241', 'language': 'en', 'url': 'https://arxiv.org/abs/1211.7241'} |
\section{Introduction}
\label{Introduction}
Recommender systems suggest items (movies, books, music, news, services, etc.) that appear most likely to interest a particular user. Matching users with the most desirable items helps enhance user satisfaction and loyalty. Therefore, many e-commerce leaders such as Amazon a... | {'timestamp': '2018-03-01T02:04:34', 'yymm': '1802', 'arxiv_id': '1802.09728', 'language': 'en', 'url': 'https://arxiv.org/abs/1802.09728'} |
\section{Introduction}
In general, like-pairing correlations, such as proton-proton ($pp$)
and neutron-neutron ($nn$) pairing usually adopted in understanding the nuclear superfluidity, have isovector spin-singlet ($T=1, J=0$) mode and manifest themselves as nuclear odd-even mass staggering. They contribute to keepin... | {'timestamp': '2018-11-13T02:17:01', 'yymm': '1811', 'arxiv_id': '1811.04589', 'language': 'en', 'url': 'https://arxiv.org/abs/1811.04589'} |
\section{Introduction}
Since the pioneering work by Sinai \cite{Sin70} on dispersing billiards,
the dynamical structures and stochastic properties have been extensively studied
for chaotic billiards \cite{GO74, BS80, BSC90, BSC91, C99, C01, Ma04, SzV04,
CZ05a, CZ05b, C06, BG06, CM07, C08, CZ08, BCD11, SYZ13},
and al... | {'timestamp': '2018-04-26T02:15:25', 'yymm': '1804', 'arxiv_id': '1804.09708', 'language': 'en', 'url': 'https://arxiv.org/abs/1804.09708'} |
\section{Introduction}
In this paper, we further develop a technique from \cite{RY} and apply it to study the Kobayashi Conjecture, $0$-cycles on hypersurfaces of general type, and Seshadri constants of very general hypersurfaces. The idea of the technique is to translate results about very general points on very gener... | {'timestamp': '2018-06-08T02:00:42', 'yymm': '1806', 'arxiv_id': '1806.02364', 'language': 'en', 'url': 'https://arxiv.org/abs/1806.02364'} |
\section{Introduction}
Over the last decade there has emerged growing interest in the so-called warm dense matter (WDM), which is of key importance for the description of, e.g., astrophysical systems \cite{knudson,militzer}, laser-excited solids \cite{ernst}, and inertial confinement fusion targets \cite{nora,schmit,... | {'timestamp': '2016-11-18T02:05:51', 'yymm': '1611', 'arxiv_id': '1611.05695', 'language': 'en', 'url': 'https://arxiv.org/abs/1611.05695'} |
\section{Introduction}
In 1961, I.J. Schark \cite{S}
proved for each $f \in \mathcal{H}^\infty (\mathbb{D})$, i.e., a bounded holomorphic function on the open disk $\mathbb{D}$, and for each $z \in \overline{\mathbb{D}}$ that the the image of the fiber $\mathcal{M}_z (\mathcal{H}^\infty (\mathbb{D} ))$ under the ... | {'timestamp': '2020-11-18T02:15:17', 'yymm': '2011', 'arxiv_id': '2011.08524', 'language': 'en', 'url': 'https://arxiv.org/abs/2011.08524'} |
\section{Introduction}\label{sec:intro}
In this paper, we present the European Court of Human Rights Open Data project (ECHR-OD). It aims at providing up-to-date and complete datasets about the European Court of Human Rights decisions since its creation. To be up-to-date and exhaustive, we developed a f... | {'timestamp': '2019-02-05T02:28:20', 'yymm': '1810', 'arxiv_id': '1810.03115', 'language': 'en', 'url': 'https://arxiv.org/abs/1810.03115'} |
\section{Introduction}
The explosive data traffic growth, fast development, and commercialization of the 5G wireless communication networks impose great challenges on data security as well as global energy consumption \cite{5Ghu}.
In order to improve energy efficiency {(EE)}, mobile edge computing (MEC) and non-orthog... | {'timestamp': '2021-02-10T02:25:32', 'yymm': '2102', 'arxiv_id': '2102.05005', 'language': 'en', 'url': 'https://arxiv.org/abs/2102.05005'} |
\section{Introduction}
Two-dimensional gravity is an important tool in the study of quantum gravity. It is a simpler analogue of four-dimensional gravity, and it arises in the diffeomorphism invariant theory living on a string theory world sheet.
Two-dimensional quantum gravity has been solved to a large extent, in ... | {'timestamp': '2019-07-05T02:14:05', 'yymm': '1907', 'arxiv_id': '1907.02410', 'language': 'en', 'url': 'https://arxiv.org/abs/1907.02410'} |
\section{Introduction}\label{sec:Intro}
Iterative methods based on projections of the solution onto a Krylov subspace are often used to solve large-scale linear ill-posed problems \cite{RegParamItr,Chung2008,Novati2013,Bazan2010,Hochstenbach2010,projRegGenForm,Gazzola2015}, \cite[Chap. 6]{RankDeff}, \cite[Chap. 6]{Hans... | {'timestamp': '2017-07-14T02:07:01', 'yymm': '1707', 'arxiv_id': '1707.04200', 'language': 'en', 'url': 'https://arxiv.org/abs/1707.04200'} |
\section{Model}
The Hamiltonian describing the aforementioned model is given by
\begin{equation}
H = \sum_{i=3}^{L-2}(b_i + b_i^\dagger ) \cdot \left(\mathcal{N}^3_i+
\mathcal{N}^2_i \right)
\label{ham}
\end{equation}
where {$L$ is the number of sites;}
$b$ and $b^\dagger$ are the usual annihilation and creation
ope... | {'timestamp': '2012-01-24T02:03:09', 'yymm': '1010', 'arxiv_id': '1010.4666', 'language': 'en', 'url': 'https://arxiv.org/abs/1010.4666'} |
\section{Introduction}
Decentralization, blockchain technology, and token-based economics are all concepts incorporated into Web3, a new iteration of the World Wide Web \cite{ww}. The origin of Web3 can be traced to Tim Berners-Lee \cite{1}, the founder of the World Wide Web and the first person to summarize and discus... | {'timestamp': '2022-09-07T02:47:01', 'yymm': '2209', 'arxiv_id': '2209.02446', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.02446'} |
\section{Introduction}
The Internet of Things (IoT) is poised to transform our lives and unleash enormous economic benefit. However, inadequate data security and trust are seriously limiting its adoption. Blockchain, a distributed tamper-resistant database, has native resistance to data tamper by which it is practic... | {'timestamp': '2022-08-11T02:06:16', 'yymm': '2208', 'arxiv_id': '2208.05109', 'language': 'en', 'url': 'https://arxiv.org/abs/2208.05109'} |
\section{acknowledgment}
\begin{description}
\item The work of O. Z. was supported by International Science Education
Program (ISEP), grant No. QSU082068.
\end{description}
| {'timestamp': '1999-04-15T19:23:21', 'yymm': '9904', 'arxiv_id': 'quant-ph/9904064', 'language': 'en', 'url': 'https://arxiv.org/abs/quant-ph/9904064'} |
\section{Introduction}
Short text matching (STM) is generally regarded as a task of paraphrase identification or sentence semantic matching.
Given a pair of sentences, the goal of matching models is to predict their semantic similarity.
It is widely used in question answer systems \cite{liu2018improved} and dialogue... | {'timestamp': '2021-02-26T02:08:59', 'yymm': '2102', 'arxiv_id': '2102.12671', 'language': 'en', 'url': 'https://arxiv.org/abs/2102.12671'} |
\section{Introduction}
Bright squeezed vacuum (BSV) is a state of light emerging from the output of a high-gain unseeded parametric amplifier (OPA). Due to its nonclassical properties such as photon-number entanglement and quadrature squeezing, this state is useful for various quantum-information applications, amon... | {'timestamp': '2015-03-12T01:10:48', 'yymm': '1503', 'arxiv_id': '1503.03406', 'language': 'en', 'url': 'https://arxiv.org/abs/1503.03406'} |
\section{Introduction}
\subsection{Notation}
In this paper, a \textit{real elliptic curve} will be a triple $(X,x_0,\sigma)$ where
$(X,x_0)$ is a complex elliptic curve (i.e.,\ a compact connected Riemann surface of
genus $1$ with a marked point $x_0$) and $\sigma:X\longrightarrow X$ is an anti-holomorphic
involuti... | {'timestamp': '2016-01-11T02:08:05', 'yymm': '1410', 'arxiv_id': '1410.6845', 'language': 'en', 'url': 'https://arxiv.org/abs/1410.6845'} |
\section{Introduction}
\label{intro}
Prime factorization is a problem in the complexity class NP of problems that can be solved in
polynomial time by a nondeterministic machine. Indeed, the prime factors can be verified
efficiently by multiplication.
At present, it is not known if the problem has polynomial com... | {'timestamp': '2022-09-26T02:14:26', 'yymm': '2209', 'arxiv_id': '2209.11650', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.11650'} |
\section{Introduction}\label{section1}
\subsection{Background}\label{section1A}
Large systems consisting of many coupled oscillatory units occur
in a wide variety of situations \cite{Yamaguchi}. Thus the study of
the behaviors that such systems exhibit
has been an active and continuing area of research. An important
e... | {'timestamp': '2008-11-18T22:21:27', 'yymm': '0809', 'arxiv_id': '0809.2129', 'language': 'en', 'url': 'https://arxiv.org/abs/0809.2129'} |
\section{I. Introduction}
In this paper we ask how much entanglement is required to perform a measurement
on a pair of spatially separated systems, if the participants are allowed only local operations
and classical communication. That is, we want to find the ``entanglement cost'' of a
given measurement. (We give a ... | {'timestamp': '2009-03-30T19:42:07', 'yymm': '0809', 'arxiv_id': '0809.2264', 'language': 'en', 'url': 'https://arxiv.org/abs/0809.2264'} |
\section{Introduction}
Melt-blowing is a widely used production method for polymer micro- and nanofibers economically attractive due to low production costs. Fabrics of meltblown fibers are nonwovens, e.g., filters, hygiene products, battery separators. Details on the technology can be found in \cite{dutton:p:2009, pin... | {'timestamp': '2019-03-07T02:16:24', 'yymm': '1902', 'arxiv_id': '1902.01811', 'language': 'en', 'url': 'https://arxiv.org/abs/1902.01811'} |
\section{Introduction and motivation}
In a pilot program during the 2016-17 admissions cycle, the University of California, Berkeley invited many applicants for freshman admission to submit letters of recommendation (LORs) as part of their applications.
UC Berkeley had (and has) a ``holistic review'' admissions proce... | {'timestamp': '2021-02-23T02:46:29', 'yymm': '2008', 'arxiv_id': '2008.04394', 'language': 'en', 'url': 'https://arxiv.org/abs/2008.04394'} |
\section{Introduction}
Sunspots appear as prominent features in the solar photosphere. Comparing white-light solar disk images and magnetograms one can note that sunspots are also associated with strong magnetic fields. In our paper we will focus only on white-light solar disk images due to the primary interest in his... | {'timestamp': '2022-01-24T02:12:03', 'yymm': '2201', 'arxiv_id': '2201.05840', 'language': 'en', 'url': 'https://arxiv.org/abs/2201.05840'} |
\section*{Introduction}
\setcounter{section}{-1}
The goal of this paper is to provide an effective framework for the study of homotopy models of operads. Various models of $\infty$-operads in simplicial sets and in topological spaces
have been introduced in the literature.
The model that we propose in this paper reli... | {'timestamp': '2021-02-09T02:45:37', 'yymm': '2011', 'arxiv_id': '2011.11333', 'language': 'en', 'url': 'https://arxiv.org/abs/2011.11333'} |
\section{Introduction}
Proteins are polymers formed by different kinds of amino acids.
During or after proteins have been synthesized by ribosomes, they fold to form a specific tridimensional shape.
This
3D geometric pattern defines their biological functionality, properties, and so on.
For instance, the hemoglobin ... | {'timestamp': '2013-06-07T02:01:41', 'yymm': '1306', 'arxiv_id': '1306.1372', 'language': 'en', 'url': 'https://arxiv.org/abs/1306.1372'} |
\subsection{Personal unsafety}
\vspace{-1mm}
Personal unsafe responses have a direct negative impact on users, such as causing psychological or physical harm by attacking, mocking, etc., or inducing potentially risky behaviors by spreading unreliable information.
Specifically, we focus on the following three categor... | {'timestamp': '2022-04-05T02:31:03', 'yymm': '2110', 'arxiv_id': '2110.08466', 'language': 'en', 'url': 'https://arxiv.org/abs/2110.08466'} |
\section{INTRODUCTION}
It is interesting problem how the material structure effects on the transport property.
Amorphous solid often shows lower conductivity than crystals.
For example, the thermal conductivity of silica, which is a glass material used for window glass, is one-eighth of that of quartz, which is the cr... | {'timestamp': '2010-12-15T02:01:31', 'yymm': '1005', 'arxiv_id': '1005.4295', 'language': 'en', 'url': 'https://arxiv.org/abs/1005.4295'} |
\section{Introduction}
\label{sec:intro}
This paper aims at a newly raising task in vision and multimedia research: recognizing human actions from \textit{still images} (Fig.~\ref{fig:parsing}). Although action recognition is usually addressed in videos with motion information~\cite{Liang13,LinEvent}, more attent... | {'timestamp': '2015-02-03T02:25:41', 'yymm': '1502', 'arxiv_id': '1502.00501', 'language': 'en', 'url': 'https://arxiv.org/abs/1502.00501'} |
\section{Introduction}
Charged dust particles embedded in a plasma environment are an ubiquitous phenomenon in nature.\cite{Mendis02,Ishihara07}
They are found in the interstellar medium,\cite{Spitzer82,Mann08} planetary magnetospheres,\cite{GGM84} the upper
atmosphere,\cite{FR09} and in industrial plasmas.\cite{Hol... | {'timestamp': '2013-08-28T02:02:58', 'yymm': '1306', 'arxiv_id': '1306.1328', 'language': 'en', 'url': 'https://arxiv.org/abs/1306.1328'} |
\section{\bf 1. Introduction.}
Finding the entanglement entropy associated with a spatial surface
presents an interesting computational challenge, {\it e.g.}\
[\putref{LNST,CaandH,Solodukhin2}], that has attracted some recent
interest, {\it e.g.}\ [\putref{HandW}], not least because of the introduction of
holographic n... | {'timestamp': '2010-12-08T02:02:26', 'yymm': '1012', 'arxiv_id': '1012.1548', 'language': 'en', 'url': 'https://arxiv.org/abs/1012.1548'} |
\section{Introduction}
Supersymmetry continues to be the most compelling candidate for the theoretical framework
describing particle physics beyond the Standard Model. In the current paradigm, SUSY is dynamically broken in the
Hidden Sector of the full theory and the effects of this SUSY-breaking are mediated to the V... | {'timestamp': '2009-02-09T13:29:07', 'yymm': '0712', 'arxiv_id': '0712.1812', 'language': 'en', 'url': 'https://arxiv.org/abs/0712.1812'} |
\section{Introduction}
The past two decades have seen tremendous progress in the description
of QCD with functional approaches such as the
functional renormalisation group (FRG), Dyson-Schwinger equations
(DSE), and n-particle irreducible methods ($n$PI). These approaches
constitute \emph{ab initio} descriptions of Q... | {'timestamp': '2016-09-12T02:05:44', 'yymm': '1605', 'arxiv_id': '1605.01856', 'language': 'en', 'url': 'https://arxiv.org/abs/1605.01856'} |
\section{Introduction}
Restoring forces play a very fundamental role in the study of vibrations of
mechanical systems. If a system is moved from its equilibrium position, a
restoring force will tend to bring the system back toward equilibrium. For
decades, if not centuries, springs have been used as the most common ex... | {'timestamp': '2011-01-05T02:02:14', 'yymm': '1005', 'arxiv_id': '1005.4983', 'language': 'en', 'url': 'https://arxiv.org/abs/1005.4983'} |
\section{Introduction} \label{intro}
According to the Standard Model of particle physics and to some of its extensions, spontaneous symmetry breaking and phase transitions constitute a crucial aspect for the early evolution of the universe.
When the temperature starts decreasing because of the expansion of the unive... | {'timestamp': '2022-03-10T02:31:55', 'yymm': '2203', 'arxiv_id': '2203.04942', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.04942'} |
\section{Introduction}
\label{Intro}
In the field of network science and big data, it is necessary to expand the scope beyond classical time signal analysis and processing to accommodate the signals defined on the graph \cite{ramakrishna2021grid, chen2021graph, zhou2022novel, 4, 13}. The irregular structure of the unde... | {'timestamp': '2022-10-11T02:12:27', 'yymm': '2203', 'arxiv_id': '2203.10199', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.10199'} |
\section{Introduction}
The history of our home Galaxy is complex and not fully understood. Observations and theoretical
simulations have made much progress and provided us with tools to search for past accretion events
in the Milky Way and beyond. The well-known current events are the Sagittarius \citep{ibata94},
C... | {'timestamp': '2012-03-29T02:02:50', 'yymm': '1203', 'arxiv_id': '1203.6199', 'language': 'en', 'url': 'https://arxiv.org/abs/1203.6199'} |
\section{\label{sec:level1}Introduction}
General Relativity (GR) is, first of all, a framework for defining physical theories in which one can obtain an absolute (i.e.~independent of the observer) description of Nature; {see \cite{Iorio, Smoot, Vishwakarma}}.
As such it is assumed as the most fundamental framework fo... | {'timestamp': '2020-02-27T02:09:17', 'yymm': '1805', 'arxiv_id': '1805.04741', 'language': 'en', 'url': 'https://arxiv.org/abs/1805.04741'} |
\section{Introduction}
\label{sec:intro}
Consider a connected oriented surface $S$ of negative Euler characteristic.
A hyperbolic metric on $S$ is a Riemannian metric of constant curvature $-1$.
The Teichm\"uller space $\teichmullerspace$ of $S$ is the space of complete
finite-area hyperbolic metrics on $S$ up to isot... | {'timestamp': '2011-04-11T02:02:47', 'yymm': '1006', 'arxiv_id': '1006.2158', 'language': 'en', 'url': 'https://arxiv.org/abs/1006.2158'} |
\section{Introduction}
\setcounter{equation}{0}
The study of $\pi\pi$ scattering has been one of the classical methods
for investigating the nature of the strong interaction. Many elegant ideas have
been proposed \cite{gas}. At the present time the standard approach at low
energies
is based on chiral perturbation... | {'timestamp': '1996-03-05T21:12:21', 'yymm': '9501', 'arxiv_id': 'hep-ph/9501417', 'language': 'en', 'url': 'https://arxiv.org/abs/hep-ph/9501417'} |
\section*{Introduction}
The first-passage time of a stochastic process to a boundary is a fundamental problem with applications in queuing theory \cite{iglehart65}, mathematical finance \cite{RISK03}, epidemic models on networks for the spreading of disease and computer viruses \cite{Lloyd01}, animal or human moveme... | {'timestamp': '2018-11-01T01:03:14', 'yymm': '1810', 'arxiv_id': '1810.13010', 'language': 'en', 'url': 'https://arxiv.org/abs/1810.13010'} |
\section{\@mainheadtrue
\@startsection {section}{1}{\z@}{0.8cm plus1ex minus .2ex}
{0pt}{\reset@font\bf}}
\def\@sect#1#2#3#4#5#6[#7]#8{\ifnum #2>\c@secnumdepth
\let\@svsec\@empty\else
\refstepcounter{#1}%
\def\@tempa{#8}%
\ifx\@tempa\empty %
\ifappendixon %
\if@mainhead %
\def\@tempa{APPENDIX }\def\@temp... | {'timestamp': '1995-01-05T21:09:23', 'yymm': '9501', 'arxiv_id': 'hep-th/9501016', 'language': 'en', 'url': 'https://arxiv.org/abs/hep-th/9501016'} |
\section{Introduction}
\label{sec:intro}
A nonperturbative regularization of chiral gauge theory,
if it would exist, could offer a consistent framework for studying
the dynamics of the standard model, especially the
dynamics of spontaneous gauge symmetry breaking.
Lattice regularization has succeeded to play such a ro... | {'timestamp': '1995-01-27T06:15:14', 'yymm': '9501', 'arxiv_id': 'hep-lat/9501032', 'language': 'en', 'url': 'https://arxiv.org/abs/hep-lat/9501032'} |
\section{Introduction}
The properties of white dwarf stars are relatively simple to measure.
Ideally, a complete spectral energy distribution, from the optical to the
ultraviolet, helps establish the white dwarf atmospheric properties, i.e.,
their effective temperature, surface gravity, and chemical composition,
from ... | {'timestamp': '2007-02-15T20:45:18', 'yymm': '0702', 'arxiv_id': 'astro-ph/0702420', 'language': 'en', 'url': 'https://arxiv.org/abs/astro-ph/0702420'} |
\section{Introduction}
Amongst the lattice gauge community it has recently become quite
popular to study the distributions of eigenvalues of the Dirac
operator in the presence of the background gauge fields generated in
simulations. There are a variety of motivations for this. First, in
a classic work, Banks and Cas... | {'timestamp': '2005-12-13T19:40:46', 'yymm': '0511', 'arxiv_id': 'hep-lat/0511052', 'language': 'en', 'url': 'https://arxiv.org/abs/hep-lat/0511052'} |
\section{How to set up a proper comparison?}
\label{sec:analysis}
Measuring (small) changes in aerodynamic drag is not trivial, especially in the turbulent regime, regardless of the numerical or experimental nature of the analysis. Studies employ a variety of approaches, where simulations and experiments presents diffe... | {'timestamp': '2022-07-12T02:17:12', 'yymm': '2207', 'arxiv_id': '2207.04446', 'language': 'en', 'url': 'https://arxiv.org/abs/2207.04446'} |
\section{Introduction}
\label{intro}
Evidence has been accumulating in recent years that at least a subclass of
Gamma--ray bursts (GRBs), the ones with a long ($\lower.5ex\hbox{\gtsima} 2$ s) burst event, are
associated with deaths of massive stars (e.g. Woosley 1993; Paczy\'nski 1998;
MacFadyen \& Woosley 1999). This... | {'timestamp': '2005-11-27T11:33:19', 'yymm': '0511', 'arxiv_id': 'astro-ph/0511750', 'language': 'en', 'url': 'https://arxiv.org/abs/astro-ph/0511750'} |
\section{Introduction}
Measurements of the $g$ factor of low- and middle-$Z$ H- and Li-like ions
\cite{haf00,ver04,stu11,wag13,lin13,stu13,stu14,koel16}
have reached an accuaracy of a few $10^{-10}$. From the theoretical
side, to get this accuracy we need to evaluate various contributions to the $g$-factor value
\cite... | {'timestamp': '2018-07-24T02:18:03', 'yymm': '1807', 'arxiv_id': '1807.08495', 'language': 'en', 'url': 'https://arxiv.org/abs/1807.08495'} |
\section{Introduction}
The star formation history and the gas flows determine the distribution of chemical abundances in galaxies. The existence of radial gradients of chemical abundances in spiral galaxies is a well known fact, and is thought to be caused by 'inside-out' galaxy formation scenario, where the number of... | {'timestamp': '2019-05-27T02:12:17', 'yymm': '1905', 'arxiv_id': '1905.10159', 'language': 'en', 'url': 'https://arxiv.org/abs/1905.10159'} |
\section{Introduction}
In general, galaxies can be divided into two populations, namely,
star-forming galaxies (hereafter SFGs) and quiescent galaxies with little
star formation (hereafter QGs).
At $z\lesssim 1$, these two populations show different morphological
properties; QGs tend to show centrally concentrated sphe... | {'timestamp': '2022-12-15T02:00:14', 'yymm': '2212', 'arxiv_id': '2212.06843', 'language': 'en', 'url': 'https://arxiv.org/abs/2212.06843'} |
\section*{OLD VERSION}
\section*{Old Introduction}
Lastly many of widely used datasets such as CIFAR10~\cite{cifar10}, ImageNet~\cite{imagenet} received semi-supervised versions that aim advancing methods for few-shot learning. These methods are intended to bring deep learning closer to applications because usually... | {'timestamp': '2018-12-18T02:03:04', 'yymm': '1812', 'arxiv_id': '1812.06158', 'language': 'en', 'url': 'https://arxiv.org/abs/1812.06158'} |
\section{Introduction}
\label{Introduction}
Pruning~\cite{lecun1990optimal,hassibi1993second, han2015deep,heyang} a trained neural network is commonly seen in network compression. In particular, for CNNs, channel pruning refers to the pruning of the filters in the convolutional layers. There are several critical fact... | {'timestamp': '2021-10-26T02:40:59', 'yymm': '2004', 'arxiv_id': '2004.11627', 'language': 'en', 'url': 'https://arxiv.org/abs/2004.11627'} |
\section*{Introduction}
In this paper, we study bundles (i.e. locally free coherent sheaves) $\mathscr{E}$ on $\mathbf{P}^n$ such that
\begin{align*}
H^i(\mathscr{E}(t)) = 0,\quad \forall t\in\mathbb{Z}, \quad \forall 1\le i \le n-2. \tag{$\dagger$} \label{Cohomology}
\end{align*}
These include all bundles on $\mathb... | {'timestamp': '2020-04-14T02:23:42', 'yymm': '1910', 'arxiv_id': '1910.02616', 'language': 'en', 'url': 'https://arxiv.org/abs/1910.02616'} |
\section{\label{sec:level1}Introduction}
The concept of $T=0$ quantum phase transitions has emerged as an overarching theme in strongly correlated electron physics \cite{Hertz, Chakravarty, Millis, Chubukov, Goldman, Sachdev, Sachdev2, Si, Sachdev3}. The nature of quantum fluctuations near the quantum critical point, ... | {'timestamp': '2014-05-14T02:14:22', 'yymm': '1401', 'arxiv_id': '1401.6917', 'language': 'en', 'url': 'https://arxiv.org/abs/1401.6917'} |
\section{\uppercase{#1}}}
\begin{document}
\title{Circumventing Heisenberg's uncertainty principle in atom interferometry tests
of the equivalence principle}
\author{Albert Roura}
\affiliation{Institut f\"ur Quantenphysik, Universit\"at Ulm, Albert-Einstein-Allee 11,
89081 Ulm, Germany}
\date{\today}
\begin{ab... | {'timestamp': '2015-09-29T02:12:49', 'yymm': '1509', 'arxiv_id': '1509.08098', 'language': 'en', 'url': 'https://arxiv.org/abs/1509.08098'} |
\section{Feature}
\subsection{Detector \& Descriptor}
In our method, we implemented three kinds of features, pure DISK feature, pure SuperPoint\cite{superpoint_paper} feature, and a mix of SuperPoint and DISK\cite{tyszkiewicz2020disk} feature.
For SuperPoint, we additionally applied test-time homographic adaptation wi... | {'timestamp': '2021-08-12T02:07:21', 'yymm': '2108', 'arxiv_id': '2108.04453', 'language': 'en', 'url': 'https://arxiv.org/abs/2108.04453'} |
\section{Introduction}
Graphs in this paper are simple and undirected.
We use $V(G)$, $E(G)$, and $F(G)$, respectively, to represent the vertices, edges, and faces of a graph $G$.
A \emph{coloring} of a graph $G$ is a function $c$ that assigns an element $c(v)$ to each vertex $v \in V(G)$.
A \emph{proper coloring} is ... | {'timestamp': '2018-09-21T02:03:52', 'yymm': '1809', 'arxiv_id': '1809.07445', 'language': 'en', 'url': 'https://arxiv.org/abs/1809.07445'} |
\section{Introduction}
CTAs ({\em Commodity Trading Advisors}) or managed-future accounts are a subset of asset managers with over \$341bn of assets under management \cite{BarclayHedge} as of Q2 2017. The predominant strategy which CTAs employ is trend-following. Meanwhile, bank structuring desks have devised a varie... | {'timestamp': '2019-06-05T02:22:57', 'yymm': '1906', 'arxiv_id': '1906.01427', 'language': 'en', 'url': 'https://arxiv.org/abs/1906.01427'} |
\section{Introduction and results}
Let $p$ be a positive number. We consider random variables with $p$-{\it sub-exponential tail decay}, i.e., random variables $X$ for which there exists two positive constants $c,C$ such that
$$
\mathbb{P}(|X|\ge t)\le c\exp\big(-(t/C)^p\big)
$$
for all $t\ge 0$. Such random v... | {'timestamp': '2020-09-09T02:03:07', 'yymm': '1909', 'arxiv_id': '1909.06776', 'language': 'en', 'url': 'https://arxiv.org/abs/1909.06776'} |
\section{Introduction}
\label{sec:1}
Molecular biology has become a high-volume information science. This rapid transformation has taken place over the past two decades and has been chiefly enabled by two technological advances: (\emph{i}) affordable and accessible high-throughput sequencing platforms, sequence diagnos... | {'timestamp': '2016-01-07T02:03:42', 'yymm': '1601', 'arxiv_id': '1601.01048', 'language': 'en', 'url': 'https://arxiv.org/abs/1601.01048'} |
\section{Introduction}
A deeper understanding of the low temperature macroscopic phases of a many-body system
can only be achieved with the aid of a quantum theory.
Of particular interest is the modeling and description of how the system goes
from one phase to another, a process known as ``phase transition''.
In ordi... | {'timestamp': '2012-10-29T01:02:18', 'yymm': '1205', 'arxiv_id': '1205.1046', 'language': 'en', 'url': 'https://arxiv.org/abs/1205.1046'} |
\section{Introduction}
Khovanov constructed in \cite{Khovanov:FunctorValuedInvariant} a
family of rings $H^n$, for $n\geq 0$, which is a categorification
of \textrm{Inv}($n$), the space of $U_q(sl_2)$-invariants in $V^{\otimes
2n}.$ These rings lead to an invariant of (even) tangles which to
a tangle assigns a complex ... | {'timestamp': '2006-11-01T05:51:17', 'yymm': '0611', 'arxiv_id': 'math/0611012', 'language': 'en', 'url': 'https://arxiv.org/abs/math/0611012'} |
\section{Introduction}
The last two decades have seen an important amount of works whose aim is to realize powers of some operators $L$ in terms of a suitable extension. When the operator $L$ is second-order in divergence-form for instance, the extension appears to be a differential operator and classical tools from ... | {'timestamp': '2020-10-15T02:24:30', 'yymm': '2010', 'arxiv_id': '2010.01036', 'language': 'en', 'url': 'https://arxiv.org/abs/2010.01036'} |
\subsection{Limitations of using GCN for scoring clusters}
\label{ssec:leconv-use}
GCN from Eq. \eqref{eq:gcn} can be viewed as an operator which first computes a \textit{pre-score} $\hat{\phi^{\prime}}$ for each node i.e., $\hat{\phi^{\prime}} = XW$ followed by a weighted average over neighbors and a non-linearity. I... | {'timestamp': '2020-02-04T02:13:40', 'yymm': '1911', 'arxiv_id': '1911.07979', 'language': 'en', 'url': 'https://arxiv.org/abs/1911.07979'} |
\section{Conclusions}
\vspace{-.5\baselineskip}
We have presented an abstract learning framework for synthesis that encompasses several
existing techniques that use learning or counter-example guided inductive synthesis to
create objects that satisfy a specification.
We were motivated by abstract interpretation~... | {'timestamp': '2016-05-23T02:13:10', 'yymm': '1507', 'arxiv_id': '1507.05612', 'language': 'en', 'url': 'https://arxiv.org/abs/1507.05612'} |
\subsection{#1}\setcounter{theorem}{0} \setcounter{equation}{0}
\par\noindent}
\renewcommand{\theequation}{\arabic{subsection}.\arabic{equation}}
\renewcommand{\thesubsection}{\arabic{subsection}}
\newtheorem{theorem}{Theorem}
\renewcommand{\thetheorem}{\arabic{subsection}.\arabic{theorem}}
\newtheorem{lemma}[the... | {'timestamp': '2012-10-31T01:03:06', 'yymm': '1205', 'arxiv_id': '1205.1402', 'language': 'en', 'url': 'https://arxiv.org/abs/1205.1402'} |
\section{Introduction} \label{sec:intro}
\acresetall
The Crab pulsar and its \ac{pwn} are among the most studied objects in the Galaxy.
The central pulsar has a period of 33\,ms and large spin-down power, $\dot{E}\sub{SD}\simeq5\times10^{38}~\mathrm{erg\,s^{-1}}$ \citep{Hester2008}.
Almost all of $\dot{E}\sub{SD}$ is... | {'timestamp': '2020-05-19T02:09:55', 'yymm': '2005', 'arxiv_id': '2005.07958', 'language': 'en', 'url': 'https://arxiv.org/abs/2005.07958'} |
\section{Boundary ribbon operators with $\Xi(R,K)^\star$}\label{app:ribbon_ops}
\begin{definition}\rm\label{def:Y_ribbon}
Let $\xi$ be a ribbon, $r \in R$ and $k \in K$. Then $Y^{r \otimes \delta_k}_{\xi}$ acts on a direct triangle $\tau$ as
\[\tikzfig{Y_action_direct},\]
and on a dual triangle $\tau^*$ as
\[\tikzfig{... | {'timestamp': '2022-08-15T02:13:04', 'yymm': '2208', 'arxiv_id': '2208.06317', 'language': 'en', 'url': 'https://arxiv.org/abs/2208.06317'} |
\section{Introduction}
The study of the beneficial role of disorder in a broad range of biological, physical, and chemical phenomena, has become a fundamental research topic in complex systems dynamics.
A seminal work in the field was the introduction of stochastic resonance (SR) in the early eighties, initially prop... | {'timestamp': '2022-03-24T01:33:30', 'yymm': '2203', 'arxiv_id': '2203.12506', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.12506'} |
\section{Preliminary and basic results}
\par\medskip
\par\medskip
We begin this section by recalling the definition and notation
about $C^*$-algebraic bundles.
First of all, we refer the reader to [7, VIII.2.2] for the notion
of Banach algebraic bundle $\cal B$ over a locally compact group $G$.
Let $B$ be the bundl... | {'timestamp': '1999-06-11T11:20:49', 'yymm': '9906', 'arxiv_id': 'math/9906070', 'language': 'en', 'url': 'https://arxiv.org/abs/math/9906070'} |
\section{Introduction}
The search for periodicities in time or spatial dependent signals is a topic
of the uttermost relevance in many fields of research, from geology
(stratigraphy, seismology, etc.;
(Brescia et al. 1996) ) to astronomy
Barone et al. 1994) where it finds wide application in the study of light
curves ... | {'timestamp': '1999-06-10T09:34:40', 'yymm': '9906', 'arxiv_id': 'astro-ph/9906182', 'language': 'en', 'url': 'https://arxiv.org/abs/astro-ph/9906182'} |
\section{INTRODUCTION}
\newpage
New physical phenomena such as high-$T_c$ superconductivity,
colossal magnetoresistance and dilute magnetism occur when
strongly correlated materials are doped with hole charges. These
phenomena may be caused by a strongly correlated Mott first-order
metal-insulator transition (MIT) with... | {'timestamp': '2006-08-03T11:39:17', 'yymm': '0608', 'arxiv_id': 'cond-mat/0608085', 'language': 'en', 'url': 'https://arxiv.org/abs/cond-mat/0608085'} |
\section{Introduction}
Understanding and modelling climate extremes such as floods, heatwaves and heavy precipitation, is of paramount importance because they often lead to severe impacts on our socio-economic system \citep{IPCC2012}. Many impacts are associated with compounding drivers, for instance multiple hazards... | {'timestamp': '2021-11-02T01:12:32', 'yymm': '2111', 'arxiv_id': '2111.00267', 'language': 'en', 'url': 'https://arxiv.org/abs/2111.00267'} |
\section{Accuracy}\label{apx:accuracy}
\begin{figure*}[t!]
\subfigure[VGGNet ($B=64$)]{
\includegraphics[width=.48\hsize]{imgs/{VGG-10-64-0.01-accuracy}.pdf}
}
\subfigure[VGGNet ($B=4096$)]{
\includegraphics[width=.48\hsize]{imgs/{VGG-10-4096-0.1-accuracy}.pdf}
}
\subfigure[NIN ($B=64$)]{
\incl... | {'timestamp': '2017-06-01T02:03:13', 'yymm': '1705', 'arxiv_id': '1705.10941', 'language': 'en', 'url': 'https://arxiv.org/abs/1705.10941'} |
\section{Introduction} \label{intro}
The association of quasars with galaxies at similar redshifts allows one to use
quasars as signposts for locating galaxies and galaxy clusters at high redshift.
Although radio-quiet quasars (RQQs) are very rarely found in clusters at
z$\lesssim$0.7, a significant fraction of radio... | {'timestamp': '1996-12-31T02:45:16', 'yymm': '9612', 'arxiv_id': 'astro-ph/9612241', 'language': 'en', 'url': 'https://arxiv.org/abs/astro-ph/9612241'} |
\section{Introduction}
Interplay between current and magnetization is an essential issue underpinning the field of spintronics~\cite{ref:spintronics}, which consists of two reciprocal problems: control of current through magnetization with a known configuration, and its converse, \emph{i.e.}, control of magnetization ... | {'timestamp': '2012-12-21T02:00:48', 'yymm': '1211', 'arxiv_id': '1211.0782', 'language': 'en', 'url': 'https://arxiv.org/abs/1211.0782'} |
\section*{ Acknowledgement}
{Tne paper is supported by RFBR
grants 11-02-00242 and 12-02-00613;
the work of A.R.
is supported by Jefferson Science Associates, LLC under U.S. DOE Contract No. DE-AC05-06OR23177.
}
| {'timestamp': '2012-11-07T02:01:27', 'yymm': '1211', 'arxiv_id': '1211.1133', 'language': 'en', 'url': 'https://arxiv.org/abs/1211.1133'} |
\section{Introduction}
\hspace{1.0cm}As recently pointed out by Gamboa et al \cite{1} the cornstone of cosmology is the cosmological principle which is based on the fact that
the spacetime is Lorentz invariant. Nevertheless, physical problems such as that primordial magnetic fields (PMF)
\cite{2}, matter antimatte... | {'timestamp': '2011-05-10T02:03:32', 'yymm': '1105', 'arxiv_id': '1105.1573', 'language': 'en', 'url': 'https://arxiv.org/abs/1105.1573'} |
\section{Introduction}
\label{sec:intro}
The current success of deep learning models is showing how modern artificial intelligent systems can manage supervised machine learning tasks with growing accuracy. However, when the level of supervision decreases, all the limitations of the existing data-hungry approaches becom... | {'timestamp': '2020-07-27T02:07:11', 'yymm': '2007', 'arxiv_id': '2007.12360', 'language': 'en', 'url': 'https://arxiv.org/abs/2007.12360'} |
\section{Selected Work on Intonational Meaning}
Introductions to speech research and acoustic phonetics can be found
in \cite{Ladefoged62,Denes73,Fry79}. For survey-level introductions to
studies of English intonation, see
\cite{Halliday67b,Crystal69,Crystal75,Cruttenden86,Couper-Kuhlen86}.
\cite{Ladd80,Bolinger86,Boli... | {'timestamp': '1996-03-28T04:04:41', 'yymm': '9405', 'arxiv_id': 'cmp-lg/9405003', 'language': 'en', 'url': 'https://arxiv.org/abs/cmp-lg/9405003'} |
\section{Introduction}
The di-Higgs production will continue to be one of the most important physics targets in the Large Hadron Collider (LHC) and beyond, since its observation leads to a measurement of the tri-Higgs coupling, and will provide a test if it matches with the Standard Model (SM) prediction~\cite{Glov... | {'timestamp': '2017-05-16T02:11:05', 'yymm': '1701', 'arxiv_id': '1701.06137', 'language': 'en', 'url': 'https://arxiv.org/abs/1701.06137'} |
\section{Introduction}
We shall be concerned with the time-harmonic electromagnetic (EM) wave scattering.
Let
\begin{equation}\label{eq:plane waves}
E^i(x)=pe^{ik x\cdot d},\quad H^i(x)=\frac{1}{i k} \nabla\wedge E^i(x),\quad x\in\mathbb{R}^3\,,
\end{equation}
be a pair of time-harmonic EM plane waves, where $E^i$ and... | {'timestamp': '2013-05-09T02:02:05', 'yymm': '1305', 'arxiv_id': '1305.1838', 'language': 'en', 'url': 'https://arxiv.org/abs/1305.1838'} |
\section{Introduction}\label{secintro}
The main purpose of this episode is to give an examination in depth
for admissible partitions generated by nonabelian subalgebras.
As pointed out earlier~\cite{SuTsai1}, a nonabelian subalgebra
is eligible as well to create a bi-subalgebra
and a commutator partition... | {'timestamp': '2019-12-10T02:02:11', 'yymm': '1912', 'arxiv_id': '1912.03362', 'language': 'en', 'url': 'https://arxiv.org/abs/1912.03362'} |
\section{Introduction}
The recent discover of the Higgs particle at LHC and Tevatron
has reconfirmed that the electroweak theory of Weinberg and
Salam provides the true unification of electromagnetic and weak
interactions \cite{LHC,tev}. Indeed the discovery of the Higgs
particle has been claimed to be the ``final... | {'timestamp': '2014-10-14T02:12:10', 'yymm': '1305', 'arxiv_id': '1305.1699', 'language': 'en', 'url': 'https://arxiv.org/abs/1305.1699'} |
\section{Introduction}
\label{sec:introduction}
Recent years have witnessed a rapid growth of interest in understanding condensed-phase materials using quantum chemistry methods \cite{Marsman09JCP,Muller12PCCP,DelBen12JCTC,DelBen13JCTC,Booth13Nature,Yang14Science,McClain17JCTC,Gruber18PRX,Zhang19FM,Wang20JCTC,Lau2... | {'timestamp': '2022-02-07T02:00:58', 'yymm': '2112', 'arxiv_id': '2112.05824', 'language': 'en', 'url': 'https://arxiv.org/abs/2112.05824'} |
\section{Introduction}
\label{sec:sec0001}
Quantum information science has paved the way for a comprehensive understanding of quantum phenomena as resources, which in turn may be consumed to perform tasks that are not possible in the classical world~\cite{RevModPhys.91.025001}. This is the case of entanglement and qua... | {'timestamp': '2021-08-04T02:05:53', 'yymm': '2108', 'arxiv_id': '2108.01205', 'language': 'en', 'url': 'https://arxiv.org/abs/2108.01205'} |
\section{Complex ellipsoids}
For $p=(p_1,\dots,p_n)\in\mathbb R_{>0}^n$, $n\geq2$, define the \emph{complex ellipsoid}
\begin{equation*}
\mathbb E_p:=\left\{(z_1,\dots,z_n)\in\mathbb C^n:\sum_{j=1}^n|z_j|^{2p_j}<1\right\}.
\end{equation*}
Note that $\mathbb B_n:=\mathbb E_{(1,\dots,1)}$ is the unit ball in $\m... | {'timestamp': '2013-01-21T02:01:34', 'yymm': '1211', 'arxiv_id': '1211.0786', 'language': 'en', 'url': 'https://arxiv.org/abs/1211.0786'} |
\section{#1}
\protect\setcounter{secnum}{\value{section}}
\protect\setcounter{equation}{0}
\protect\renewcommand{\theequation}{\mbox{\arabic{secnum}.\arabic{equation}}}}
\setcounter{tocdepth}{1}
\begin{document}
\title{Infinitesimal Deformations and Obstructions for Toric Singularities}
\author{Klaus Altmann\fo... | {'timestamp': '1994-05-16T19:17:14', 'yymm': '9405', 'arxiv_id': 'alg-geom/9405008', 'language': 'en', 'url': 'https://arxiv.org/abs/alg-geom/9405008'} |
\section{Introduction}
Even when the significant progress of acoustics was developed in the 60's, some exciting features remain unexplored for scientists and engineers. A good example is the acoustical field distribution coming from a freely vibrating rod, where the studies are scarce, due to the difficulty to excite ... | {'timestamp': '2020-08-17T02:05:58', 'yymm': '2008', 'arxiv_id': '2008.06183', 'language': 'en', 'url': 'https://arxiv.org/abs/2008.06183'} |
\section{Introduction}
The study of embedded surfaces is indispensable in $3$-manifold topology and has a history of more than $100$ years. For the relatively new interests in understanding contact structures on $3$-manifolds, one finds it important, not surprisingly, to study embedded surfaces together with germs of c... | {'timestamp': '2020-06-23T02:21:40', 'yymm': '2006', 'arxiv_id': '2006.11844', 'language': 'en', 'url': 'https://arxiv.org/abs/2006.11844'} |
\section{Introduction}
With the rapid development of online payment, credit card fraud also continues to climb to new heights, which leads to losses totalling billions of US dollars each year [1]. To address this issue, banks and online payment companies turn to anti-fraud systems to detect illegitimate transactions. A... | {'timestamp': '2022-06-30T02:08:27', 'yymm': '2108', 'arxiv_id': '2108.02501', 'language': 'en', 'url': 'https://arxiv.org/abs/2108.02501'} |
\section{Introduction}
\label{sect:Introduction}
Data is considered a key production factor, comparable in importance to labour, capital, and infrastructure. Companies are often in need of data they do not possess, or cannot collect directly. Therefore, general purpose\footnote{See for example DAWEX, Azure Data Catalo... | {'timestamp': '2020-12-17T02:15:39', 'yymm': '2012', 'arxiv_id': '2012.08874', 'language': 'en', 'url': 'https://arxiv.org/abs/2012.08874'} |
\section{Introduction}
M87 is a supergiant elliptical galaxy with an active nucleus (AGN). It is classified as a radio galaxy (RDG) of type Fanaroff-Riley I (FR-I) and is located in the Virgo Cluster at a distance of 16.7 $\pm$ 0.2 Mpc \cite{mei2007}. Its prominent jet was first discovered in 1918 \cite{curtis1918} a... | {'timestamp': '2021-08-03T02:42:17', 'yymm': '2108', 'arxiv_id': '2108.01048', 'language': 'en', 'url': 'https://arxiv.org/abs/2108.01048'} |
\section{Introduction}
NaI(Tl) has been used as a scintillator for particle detection for many years~\cite{hofstadter_detection_1949}, and its wide-spread availability makes it a convenient low-cost choice for many particle-detection applications.
Undoped NaI has also been known to be an effective scintillator at low ... | {'timestamp': '2021-12-23T02:10:03', 'yymm': '2112', 'arxiv_id': '2112.11688', 'language': 'en', 'url': 'https://arxiv.org/abs/2112.11688'} |
\section{Introduction}
\label{sec:Intro}
Muons observed in underground laboratories are produced mainly in
decays of pions and kaons generated by the interaction of primary
cosmic rays with the upper atmosphere. Since muons loose energy
crossing the rock overburden, only high energy muons can be detected,
with an ene... | {'timestamp': '2018-10-26T02:08:15', 'yymm': '1810', 'arxiv_id': '1810.10783', 'language': 'en', 'url': 'https://arxiv.org/abs/1810.10783'} |
\section{Introduction}
The link between the classical Black-Scholes equation and quantum mechanics and the application of quantum formalism to Mathematical Finance has been investigated by several authors. For example: \cite{AccBoukas}-\cite{Choustova}, \cite{Haven}-\cite{Hidalgo}, \cite{Maslov}, and \cite{McCloud_1}-\... | {'timestamp': '2018-06-28T02:10:35', 'yymm': '1806', 'arxiv_id': '1806.07983', 'language': 'en', 'url': 'https://arxiv.org/abs/1806.07983'} |
\section{Introduction}
\label{irl::intro}
Approximately 350,000 Americans suffer from serious spinal cord injuries (SCI), resulting in loss of
some voluntary motion control. Recently, epidural and transcutaneous spinal stimulation have proven
to be promising methods for regaining motor function. To find the optimal... | {'timestamp': '2017-08-15T02:08:29', 'yymm': '1707', 'arxiv_id': '1707.09394', 'language': 'en', 'url': 'https://arxiv.org/abs/1707.09394'} |
\section{Introduction}
There are two frequently appeared structured eigenvalue problems in
(relativistic) electronic structure
methods, which can be written into a unified way as
\begin{eqnarray}
\mathbf{M}_s\mathbf{z}&=&\mathbf{z}\,\omega,\quad s=\pm1,\nonumber\\
\mathbf{M}_s&=&\left[\begin{array}{cc}
\mathbf{A} & \ma... | {'timestamp': '2021-10-29T02:11:04', 'yymm': '2009', 'arxiv_id': '2009.01136', 'language': 'en', 'url': 'https://arxiv.org/abs/2009.01136'} |
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