arxiv_id stringlengths 0 16 | text stringlengths 10 1.65M |
|---|---|
1608.08647 | \section{Introduction}
\subsection{Prime Numbers}
\label{Prime Numbers}
\begin{defn} A \textit{prime} number $p$ is any integer $p > 1$ whose divisors are only $1$ and itself. A \textit{composite} number is any integer that is not a prime number or the \textit{unit} number, $1$. \end{defn}
One of the first mathemati... |
0810.2086 | \section{introduction}
The spin-$1/2$ Heisenberg antiferromagnet on the square lattice has had a long association with high-temperature superconductivity \cite{and}\cite{afm2}, but there has been almost an equally long-standing controversy surrounding the topological nature of certain of its ground states \cite{p1029... |
0810.1673 | \section{Introduction}
Our primary interest in this paper is the topology of the Fatou set for
holomorphic endomorphisms of $\mathbb{CP}^k$ (written as $\ensuremath{\field{P}^k}$ in the remainder
of the paper). We develop a type of linking number that in many cases allows
one to conclude that a given loop in the Fato... |
2109.14396 | \section{Introduction}
Stories are central to human culture and communication. However, it seems that stories are easier said than generated. Despite incredible recent progress in natural language processing generation of longer texts is still a challenge \cite{van2019narrative, rashkin2020plotmachines}. \citet{osterm... |
1011.1754 | \section{Introduction}
Let $G = (V, E)$ be a graph with finite vertex set $V$ and edge set $E \subseteq \binom{V}{2}$. Let $A\colon V \times V \to \mathbb{R}$ be a symmetric matrix whose rows and columns are indexed by the vertex set of~$G$, and $r$ be a positive integer. The \emph{graphical Grothendieck problem with ... |
1011.1459 | \section{Introduction}
\label{sec:intro}
The most massive stars probably end their lives with a supernova
explosion or a quiet core collapse, becoming stellar-mass black holes.
The mass distribution of such black holes can provide important clues
to the end stages of evolution of these stars. In addition, the mass
di... |
1612.06173 | \section*{}\small
\textbf{Abstract.} In this paper we generalize to a certain class of Stein manifolds the Bernstein-Walsh-Siciak theorem which describes the equivalence between possible holomorphic continuation of a function $f$ defined on a compact set $K$ in ${\mathbb C}^N$ to the rapidity of the best uniform appro... |
2110.02873 | \section{Introduction}
Human has the nature of self-expressing, however the fear of total exposure to the outer world still remains deep inside our mind. In this situation, some simple alienation on their outlook may satisfy such ambivalence. People are using all kinds of decoration and filters on their selfies, bef... |
2004.04621 | \section{Introduction}
\label{sec1}
Soluble surfactants play a fundamental role in many microfluidic applications \citep{A16}. For instance, it is well-known that surfactants can stabilize both foams and emulsions due to Marangoni convection effects \citep{EBW91,CT04,DL08}. The surface viscosity of surfactant monolaye... |
1401.0046 | \section{Repulsive Gravity and Cosmic Acceleration}
\IndexEntry{darkenergyIntro}
In the first modern cosmological model, Einstein\cite{de_einstein17}
\footnote{}{Chapter 25 from
the Particle Data Group Review of Particle Physics, 2013 partial update for
the 2014 division. Other chapters referred to in this review ca... |
1401.0339 | \section{Introduction} \label{section:introduction}
Over the past two decades, discontinuous Galerkin (DG) finite element methods have emerged as an effective and popular choice for the numerical solution of a wide range of partial differential equations. This is mainly stimulated by their high degree of locality, t... |
1401.0146 | \section{Introduction and motivation}
In the last years there has been great interest in the field of cavity
quantum electrodynamics. In particular, systems with strong coupling between
single quantum dots (QDs) and high quality microcavities have been studied
for different reasons, such us to gain insight into differ... |
1401.0006 | \section{Introduction}
Derivative expansion is a useful tool at low-energy scale and widely used in effective theories.
Chiral perturbation theory is one of great successful examples as the low-energy effective theory in hadron physics~\cite{weinberg, Weinberg1979327, Ecker:1994gg}.
In modern point of view, the hydrody... |
1401.0354 | \section{Introduction}
\label{sec:intro}
The Abelian sandpile model and close variants were introduced
several times in different contexts independently. There is motivation
coming from statistical physics, probability and combinatorics.
However, we are going to delay a detailed discussion of where the
model ... |
1507.01469 | \section{Introduction}\label{sect:intro}
Nematic networks change their shape when their orientational order is induced to change thermally or, if dye molecules are present, optically. Mechanical strains can be between several hundred \% for elastomers and e.g. 4-5\% for glassy networks. We concentrate on the latter sin... |
1306.6302 | \section*{Appendix}
The appendix provides additional details
and proofs that were omitted from the main body of the paper due to
space constraints.
\section{Proof of Lemma~\ref{prop:lowerbound} ($SDP^2$ Provides a Lower Bound)}
In the following we consider performing sequential regression similar
to the second simp... |
1306.5906 | \section{Introduction}
Second-harmonic microscopy is a promising imaging technique based
on a phenomenon called second-harmonic generation (SHG) or
frequency-doubling. SHG requires an intense laser beam passing
through a material with non vanishing second-order susceptibility
\cite{GeneralConsideration}. A second elec... |
1306.6244 | \section{introduction}
Quantum groups, named after Drinfeld's seminal work \cite{dr}, are natural Hopf algebraic generalizations of usual groups, arising in several branches of mathematics. As in classical group theory, the problem of their classification is a fundamental one.
An important aspect of the classific... |
1008.1696 | \section{Introduction}
\label{intro}
The jammed state of condensed matter is characterized by the
sudden arrest of a system's internal dynamics. Macroscopically,
the jammed system develops an yield stress and behaves, essentially, like a
solid. A pile of sand under the action of gravity, clogged flow of powders... |
1702.04493 | \section{Introduction}
\IEEEPARstart{T}{o} meet the ever-increasing demands for high-data-rate multimedia access, the capacity of next-generation wireless networks has to increase exponentially. One promising way to boost the capacity is to exploit new spectrum bands. Recently, millimeter wave (mm-wave) bands from 28 ... |
1702.04565 | \section{Introduction}
The proliferation of mobile devices with built-in sensors has made mobile crowdsensing an efficient sensing paradigm especially in people-centric and Internet of Things (IoT) services. Crowdsensing users collect sensing data using their personal mobile devices, e.g.,~mobile phones and IoT gadg... |
2202.08116 | \section{Introduction}\label{Sec1}
In what follows, we let $\sigma(x)$ denote the sum of divisors of the positive integer $x$. We will denote the deficiency of $x$ by $D(x)=2x-\sigma(x)$, the aliquot sum of $x$ by $s(x)=\sigma(x)-x$, and the abundancy index of $x$ by $I(x)=\sigma(x)/x$.
A number $M$ satisfying $\s... |
1901.09667 | \section{Introduction}\label{intro}
The unavoidable coupling between the open quantum system and the environment allows the environment to thermalize the quantum system~\cite{Breuer2002,Gardiner2004,Scully2012}. Cooling the quantum system has long been a challenge and one of the most desirable quantum technologies. ... |
quant-ph/0505213 | \section{Introduction}
\label{S:intro}
Fully controllable and scalable quantum computers are likely many years
from realization. This motivates study and development of somewhat
less ambitious quantum information processors, defined as devices that
fail to satisfy one or more of DiVincenzo's five criteria for a quant... |
q-bio/0505041 | \section*{Introduction}
The origin of homochirality is usually believed to be closely
connected with the origin of life (see Bada 1995 for an overview).
It may have even been a {\it prerequisite} for life in that the structural
stability provided by chiral polymers may have been essential for the
assembly of the first... |
1907.00168 | \section{Introduction}
The automatic correction of errors in text [\textit{In a such situaction} $\rightarrow$ \textit{In such a situation}] is receiving more and more attention from the natural language processing community. A series of competitions has been devoted to grammatical error correction (GEC): the CoNLL-20... |
2301.11185 | \section*{Acknowledgments}
\label{sec:acknowledgements}
We thank Dominique Fahrnbach for his intensive work on a
Wasserstein-based approach as part of his
Master's thesis. We thank
Malte Kaspereit and Malvina Supper for many
inspiring discussions on particle separation processes, in particular
for handing over the para... |
1302.3023 | \section{Introduction}
Over several decades the interest in iron (II) phthalocyanine (FePc) has been
motivated by various applications as well as by its proximity to iron proteins.
In more recent times FePc has become popular as a model system for core-level
spectroscopy (XAS, XMCD) studies.\cite{Miedema, Stepanow,Bar... |
1302.3352 | \section{Introduction}
The Hasse-Arf theorem (see \cite[IV.3]{SeL})
controls the jumps of the ramification filtration for abelian groups.
Aim of this short note is to give an intuitive geometric argument, why
the Hasse-Arf theorem is true.
Unfortunately our approach does not
provide a new proof of the Hasse-Arf ... |
1302.3477 | \section{Introduction}
One of the central and most recognizable results of statistical physics is the value of constant-volume heat capacity, $C_v$, of a harmonic and classical solid:
\begin{equation}
C_v=3N
\end{equation}
\noindent where $N$ is the number of atoms and $k_{\rm B}=1$. Known as the Dulong-Petit ... |
2202.06166 | \section*{Reproducibility Statement}
In an effort to make our work transparent and reproducible, the entirety of the data and codes used in this work have been made publicly available. Detailed instructions on how to access the data and reproduce the results presented here can be found in the online documentation avai... |
1807.03444 | \section{introduction}
Quantum systems in contact with an environment are a very important topic which concerns many branches of physics, including quantum optics\cite{Gardiner2000}, quantum thermodynamics \cite{BenentiWhitney2017}, quantum computing \cite{NielsenChuang2000} and more. A particularly important class of ... |
1502.02974 | \section{XOR games with $d$-outputs}
\section{Introduction.}
Quantum non-local correlations are one of the most intriguing aspects of Nature, evidenced in the violation of Bell inequalities. Besides their foundational interest, these correlations have also proven to be useful in information processing tasks such as sec... |
2208.07741 | \section{Introduction}
\section{Related work}\label{section:reliability}
The QUIC protocol currently provides a reliable bytestream abstraction using \textit{streams}.
Application data transiting through QUIC streams is carried inside \texttt{STREAM} frames. Upon detection of a loss, the application data carried ... |
1912.02905 | \section{Introduction}
The Sloan Digital Sky Surveys (SDSS) have been observing the skies
from Apache Point Observatory (APO) since 1998 (using the 2.5m Sloan Foundation Telescope, \citealt{2006AJ....131.2332G}) and from Las Campanas Observatory (LCO) since 2017 (using the du Pont 2.5m Telescope).
Representing the fou... |
1912.03068 | \section{Introduction}\label{sec:Intro}
\begin{table*}
\centering
\caption{\label{tab:Xagn:census}Subset of existing samples of X-ray selected AGN with spectroscopic redshift.
The area covered is given in square degrees.
The X-ray band signifies whether the sample was built using soft X-rays, hard X-... |
1307.7533 | \section{Introduction}
The emerging area of networked control systems has gained significant attention in recent years due to its potential applications in many areas such as machine-to-machine communication for security, surveillance, production, building management, and traffic control. The idea of controlling dynam... |
1401.5875 | \section{Introduction}
In their classical paper~\cite{DH}, Davenport and Heilbronn proved the
following theorem.
\begin{theorem}\label{theoremdh}
When quadratic fields are ordered by their absolute
discriminants:
\begin{itemize}
\item[{\rm (a)}]
The average number of $3$-torsion elements in the class
groups of imagin... |
1401.5832 | \section{Effective surface Hamiltonian}
\end{document} |
2212.08449 | \section*{Supplementary Materials}
\subsection*{S1: AFM indentation measurements on fabricated ALD resonators}
We fit the measured curves of $F$ versus $\delta$ to extract the pretension $n_0$ and Young's modulus $E$ of the fabricated resonators. The applied force $F$ equals the product of the cantilever stiffness $... |
1909.08355 | \section{Introduction and main result}
Historically, advances in measurement techniques often are the reason
for physics to progress. Over time,\emph{ metrology} has developed
as a subject of its own, especially in the context of defining standard
units of measurement for physical quantities.
Quantum theory provides ... |
2010.12796 | \section{Introduction}
Visual localization provides accurate orientation and position information for many applications such as Augmented Reality\cite{Klein2007Parallel, middelberg2014scalable,qin2018vins} and mobile robots \cite{tang2019topological,sattler2018benchmarking}. The state-of-the-art visual localization sys... |
2010.12766 | \section{Introduction}\label{sec:intro}
The separation of speech audios containing different speakers is recognized as one of the core problems in speech processing in the last few decades \cite{cherry1953some,brown1994computational}. Speaker extraction \cite{wang2018voicefilter} is a special case of speech separation... |
2007.12188 | \section{Introduction: holographic order parameter}
The strong correlation is property of a phase of general matters not a few special materials, because even a weakly interacting material can become strongly interacting in some parameter region. It happens when the fermi surface (FS) is tuned to be small, or when ... |
2202.11017 | \section{Orthogonal polynomials} \label{sec:OP}
\subsection{Orthogonal polynomials on the real line}
Let $\mu$ be a positive measure on the real line for which all the moments $m_n$ exist. Then the orthonormal polynomials are given by the
orthogonality relations
\[ \int_{\mathbb{R}} p_n(x)p_m(x)\, d\mu(x) = \delta... |
2001.02050 | \section*{\refname}}
\def\note#1{\marginpar{\textbf{\footnotesize Note:}\\ {\footnotesize #1}}}
\biboptions{sort&compress}
\journal{Journal of Sound and Vibration}
\begin{document}
\begin{frontmatter}
\title{Deep learning surrogate interacting Markov chain Monte Carlo based full wave inversion scheme for properties... |
2001.02027 | \section{Introduction}
Given a group endomorphism $\varphi:\pi \to \pi$, consider the (left) action of $\pi$ on $\pi$ via $\sigma \cdot \alpha \mapsto \sigma \alpha \varphi(\sigma)^{-1}$. The set of orbits of this action, denoted by $\mathcal R(\varphi)$, is the set of $\varphi$-twisted conjugacy classes or the set of... |
2111.04770 | \section{Introduction}
The study of dwarf spheroidal galaxies (dSphs) within the Local Group provides a unique opportunity to characterize in detail the structure of dark matter (DM) subhaloes (e.g., \citealp{Mateo1993, Walker2009, Lokas2009, Boylan2013, Hui2016}). When compared to other galaxies, dSphs are relatively... |
2210.13569 | \section{For every submission}
\subsection{Did you discuss the \textit{limitations} of your work?}
If you answer {\bf Yes}, provide the section number; if you answer {\bf No}, provide a justification. \\[0.3cm]
\begin{Form}
\begin{tabular}{l}
\cm{mainClaims}{Yes,No,N/A}{}\\[0.2cm]
\tf[0.85]{mainClaimsJu... |
2205.10888 | \section{Introduction}\label{sec-intro} Gromov developed the h-principle \cite{Gromov_PDR} as a soft topological approach to finding solutions to partial differential relations, and this was refined subsequently by several others, notably Eliashberg-Mishachev \cite{em-book}. These two references \cite{Gromov_PDR,em-b... |
1804.06745 | \section{Introduction}\label{sec:intro}
\IEEEPARstart{W}{ith} the explosive growth of mobile applications, cloud synchronization services and the rapid development of high-quality multimedia services such as high resolution image and 4K-resolution high dynamic range (HDR) video streaming, the existing 4G mobile communi... |
1804.06598 | \section{Introduction}
In this paper we study the supremum distribution of a spectrally positive or negative L\'evy process with a piecewise linear drift. We find exact formulas for the distribution of supremum which are expressed by one-dimensional densities of a given L\'evy process. The results can be applied to fin... |
1209.2955 | \section{Introduction}
\label{intro}
The $\bar K NN$ system has been the subject of much attention and recent papers converge to having bindings of about 20 MeV and large widths of about 80 MeV \cite{Dote:2008hw,Ikeda:2010tk,Barnea:2012qa,Bayar:2011qj,Oset:2012gi,Bayar:2012rk}. A fraction of about 30 MeV of the width o... |
1907.02494 | \section{Introduction}
The theory of graph minors, developed over the span of over 20 years by Robertson and Seymour, had a tremendous impact on
the area of graph algorithms.
Arguably, one of the cornerstone contributions is the notion of \emph{treewidth}~\cite{RobertsonS84} and the deep understanding
of obstacles t... |
1907.02637 | \section{Introduction}
In the early '80s, the widespread use of the sampler revolutionized the way music is produced: besides hiring professional musicians, music producers have since been able to compose with sampled sounds. This has brought much flexibility for both drum and melody production, thanks to the various ... |
1907.02603 | \section{Introduction}\label{sec_intro}
Next-generation cellular networks are expected to support ultra-high data rates to serve the exponential increase in capacity and traffic demands~\cite{5gtechs}. Millimeter-wave (mmWave) spectrum band is considered as a promising solution to achieve the required data rates, due ... |
1108.0868 | \section{Introduction}
\rightline{\begin{minipage}{7.6cm}
{\em ``Perch\'e i discorsi nostri hanno a essere intorno
al mondo sensibile, e non sopra un mondo di carta."}\\
Galileo Galilei, {\em Dialogo sopra i massimi sistemi}
\end{minipage}}
\vspace{4mm}
\noindent
I am not an expert on strings. I follow the results ... |
1108.1261 | \section{Introduction}
In the simple constituent quark model, where the proton is made of
two constituent $u$ quarks and one $d$ quark, a good explanation of
static properties e.g. magnetic moment can be achieved. However,
experimental results of the pion-nucleon sigma term value, strange
magnetic moment $\mu_s$... |
1108.0885 | \section{Introduction}
Hurwitz theory is one of the rapidly developing branches
of modern mathematical physics \cite{Hurfirst}-\cite{I}.
It has its origins in the enumeration problem
of ramified coverings of $CP^1$,
and it is brought into modern context
with the formula due to Frobenius, \cite{Dijk}
\be
{\rm ... |
0803.3232 | \section{The {\sc cws-maxclique} algorithm}
\label{sec:alg}
The {\sc cws-maxclique} algorithm is a procedure to search for a
quantum error correction code $\mathcal{Q}=(\mathcal{G},\mathcal{C})$,
given a graph state $\mathcal{G}$ which maps quantum errors ${\mathcal
E}$ in the Pauli group
into binary error patterns, a... |
0803.2379 | \section{The Alexander grading}
In this section, we give a proof of Formula \ref{alexDef} for the Alexander grading of the long oval complex. Let us first formulate a technical lemma.
\begin{lemma}
\label{MinorSum}
The minimal number $l$ such that a permutation $\sigma$ is a product of $l$ transpositions is written $... |
0803.2680 | \section{Introduction}
The galaxy MCG$-6$-30-15 is a well-known Seyfert type I at redshift $z=0.00775$,
and was one of the first to show evidence in ASCA observations for a broad wing
of emission extending to lower energies from the 6.4\,keV\,Fe\,K$\alpha$ line
\citep{tanaka95}. A common interpretation of this emissi... |
0803.3788 | \section*{Introduction}
\subsection{The problem and the main result} Shimura, at the end of his fundamental paper \cite{Shimura3} on elliptic
modular forms of half-integral weight, mentioned certain
questions that were open at the time: one of them asked whether every modular form of weight 1/2 is a
linear combinat... |
0803.3968 | \section{Introduction}
The statistical mechanics of string networks has been the object of numerous studies because
of the importance of strings or string-like entities across all energy scales.
In general, either because of the large number of configurational
microstates or because of the large number of excited qua... |
0803.2427 | \section{Introduction}
In the past few years, dualities were successfully employed
as the linking element between the multiple access channel (MAC)
and the broadcast channel (BC). Thanks to various versions of dualities,
many regions of the MAC and the BC were classified to be identical
under a sum-power constraint.
... |
0803.3444 | \section{Introduction}
In the paper \cite{PP2} Proposition $7.21$, G. Pareschi and M. Popa studied the equations of the special subvarieties $W_d$ in Jacobians by means of theta-regularity and the continuous global generation of sheaves on abelian varieties. In the same vein, they gave an effective bound for the equ... |
2009.12091 | \section{Introduction}
Given two locally finite positive Borel measures ${\omega},{\sigma}$ in ${\mathbb R}^n$, the two weight problem for an operator $T$ is to characterize ${\omega},{\sigma}$ so that
\begin{equation}
\label{main}
||T(fd{\sigma})||_{L^p({\omega})} \lesssim ||f||_{L^p({\sigma})}, \quad \forall f \... |
2203.00816 | \section{Introduction}
\label{Section:Intro}
We say that a graph $\Gamma$ {\em decomposes} into subgraphs $\Gamma_1, \Gamma_2, \ldots, \Gamma_t$, if the edge sets of the $\Gamma_i$ partition the edges of $\Gamma$. If
${\cal F}=\{\Gamma_i\mid 1\leq i\leq t\}$ where $\Gamma_i \cong H$ for each $1\leq i\leq t$, then we ... |
1304.5470 | \section{Introduction}
\label{section:introduction}
The evolution of the surface rotation of low-mass stars along the
pre-main sequence (hereafter PMS) follows a specific path as shown
by the data, both rotation periods and $v \sin i$ measurements,
collected in young stellar clusters
\citep[e.g.][ and references the... |
2209.05980 | \section{Introduction}
Physically realizable adversarial attacks are a threat for safety-critical (semi-)autonomous systems such as self-driving cars or robots. Adversarial patches \citep{brown_2017,pmlr-v80-karmon18a} are the most prominent example of such an attack. Their realizability has been demonstrated repeated... |
nucl-th/0610040 | \section{Introduction}
Skyrme forces \cite{Skyrme,Vau,Engel_75,Dob} are widely used for the
self-consistent description of ground state and excitations of atomic nuclei
(for a recent review see \cite{Ben}). Recently, there is increasing interest in
applications to the dynamics of exotic deformed nuclei, see e.g.
\cite... |
physics/0610143 | \section{Introduction\label{intro}}
Reciprocity, which was first found by Lorentz at the end of 19th century,
has a long history\cite{Potton} and has been derived in several formalisms.
There are two typical reciprocal configurations in optical responses
as shown in Fig.~\ref{fig1}. The configurations in Figs.~\ref{... |
hep-ph/0610323 | \section{Introduction}
Quantum Chromodynamics (QCD) exhibits various states of matter
depending on the environment~\cite{review}: A strongly coupled
quark-gluon plasma (sQGP) has been discovered at the Relativistic
Heavy Icon Collider (RHIC)~\cite{sQGP} and various color
superconductors presumably exist in the core... |
math/0610083 | \subsubsection{\@startsection{subsubsection}{3}%
\normalparindent{.5\linespacing\@plus.7\linespacing}{-.5em}%
{\normalfont\bfseries}}
\setcounter{tocdepth}{1}
\raggedbottom
\def\mathcal{\mathcal}
\def\smallskip{\smallskip}
\def\smallskip{\smallskip}
\def{\mathbb \mu}_{n+1}{{\mathbb \mu}_{n+1}}
\def\partial{\parti... |
hep-th/0610248 | \section{Introduction}
\label{IntroSection}
Maximally supersymmetric ${\cal N}=4$ Yang-Mills theory (MSYM) has
attracted a great deal of theoretical interest over the years. It is
widely believed that the 't~Hooft (planar) limit of MSYM, in which the
number of colors $N_c$ is taken to infinity, is dual at strong cou... |
hep-ph/0610274 | \section{Introduction}
Three events for the decay mode \,$\Sigma^+\to p\mu^+\mu^-$\, with a dimuon invariant mass of
\,$214.3\pm0.5$\,MeV\, have been recently observed by the HyperCP Collaboration~\cite{Park:2005ek}.
It is possible to account for these events within the standard model (SM) when long-distance
contribu... |
1805.08629 | \section{Introduction}
Due to the inherent complexity of real world tasks (e.g., search and rescue, fire extinguishing, information collection) and limited capabilities of the available robots in the market, it is almost impossible for one robot to finish a complex task. As a result, cooperation among the robots is one... |
2006.07481 | \chapter{Lattice theory}
\begin{displayquote}
\textit{``I listened to K. Hepp (1963 - 64) and others describe their results in axiomatic field theory; I didn't understand what they said in detail but I got the message that I should think in position space rather than momentum space.'' -- K. Wilson, Nobel Lecture, 1982... |
2301.08376 | \section{Introduction}
The explosive growth of the amount of wireless data traffic increases the burden of the computation at the core networks and local devices, and the pressure on the wireless communication systems. These new challenges motivate new techniques, e.g., edge computing \cite{9606720} which offloads the... |
1807.01477 | \section{Introduction}\label{intro}
Traditionally, machine learning methods can learn {model's} parameters automatically with {the} training samples and thus it can {provide models with good performances which can satisfy the special requirements of various applications.} Actually, it has achieved great success in tac... |
1807.01434 | \section{Introduction}
Dirac semimetals (DSMs)~\cite{Young2012,Wang2012a,Wang2013,Weng2016,Armitage2018} are the 3D analogues of graphene~\cite{Novoselov2004} with and only with Dirac nodes on the Fermi level. These Dirac nodes are formed by band crossing, and the low-energy excitation around them leads to quasiparti... |
2002.10494 | \section{Introduction}
Quantum clock models have recently attracted a strong interest. They display a discrete internal symmetry $\mathbb{Z}_q$ that can be spontaneously broken, in analogy with the $\mathbb{Z}_2$ symmetry of spin chains~\cite{Fradkin1980,Ostlund81}. So far, the majority of the works focused on one-dim... |
1708.04547 | \section{\bf Introduction}
\vskip 0.4 true cm
In 1948, L.V. Kantorovich, Soviet mathematician and economist, introduced the well-known Kantorovich inequality \cite{kantorovich}. Operator version of Kantorovich inequality was firstly established by A.W. Marshall and I. Olkin, who obtained:
\vskip 0.4 true cm
\noi... |
2204.09404 | \section{Introduction}\label{sec:introduction}}
\IEEEPARstart{U}{nderstanding} human visual attention
has been an active research area
for decades. A plethora of works have been devoted to analyzing human attention when viewing content in different
disciplines, including computer vision, graphics, neuroscience, or ... |
astro-ph/9707274 | \section{Introduction}
\vspace{-2pt}
It is a great pleasure for me to dedicate this lecture to Art Cox whose
contributions to nonlinear pulsations go back to the very pioneering years of
numerical hydrodynamics some 35 years ago. It is fair to say that there
isn't a type of star that Art hasn't attempted to model.
I... |
astro-ph/9707033 | \section{INTRODUCTION}
This series of papers describes a set of very deep mid-infrared observations,
obtained using the ISOCAM (Cesarsky et al. 1996)
instrument on the Infared Space Observatory (ISO, Kessler et al. 1996) and
centred on the Hubble Deep Field (HDF, Williams et al. 1996) region. In
Paper I (Serjeant e... |
0712.4226 | \section{Introduction}
The SNRs consisting of two partially overlapping nonthermal shells
represent a significant fraction of the known shell-like SNRs.
Several explanations were put forward to explain the unusual
morphology of these objects: {\it i}) superposition of two separate
SNRs; {\it ii}) collision of two sepa... |
2001.00577 | \section{Introduction}
\label{sec:intro}
Recently, End-to-end (E2E) neural network architectures based on sequence to sequence (seq2seq) learning for automatic speech recognition (ASR) have been gaining lots of attention~\cite{Battenberg2017ExploringNT,Prabhavalkar2017}, mainly because they can learn both the acoustic ... |
2103.09301 | \section{#1}\label{sec:#2}}
\newcommand{\putsubsec}[2]{\subsection{#1}\label{sec:#2}}
\newcommand{\putsubsubsec}[2]{\subsubsection{#1}\label{sec:#2}}
\newcommand{\secref}[1]{Section~\ref{#1}}
\newcommand{\figref}[1]{Figure~\ref{#1}}
\newcommand{\tableref}[1]{Table~\ref{#1}}
\newcommand{\appref}[1]{Appendix~\ref{#1}}
... |
2102.06149 | \section{Introduction}
\label{sec:intro}
Up-to-date observational data suggest that our universe is mainly driven by a pressure-less or cold dark matter (CDM) and a dark energy (DE) fluid where around 96 per cent ($\sim$\; 28 per cent DM $+$ 68 percent DE) of the total energy budget of the universe is occupied by this... |
1907.06606 | \section{Introduction}
Wavelet-based methods are widely applied in a range of fields, such as mathematics, signal and image processing, geophysics, and many others. In statistics, applications of wavelets arise mainly in the areas of non-parametric regression, density estimation, functional data analysis and stochasti... |
1907.06651 | \section{\label{sec:intro}Introduction}
Magnetic Weyl semimetals (WSM) are predicted to host the Quantum anomalous Hall effect at higher temperatures than magnetically doped topological insulators \cite{Muechler2017}, and are therefore of substantial interest for spintronics technologies. One such material is Co$_3$Sn... |
1811.05959 | \section{Introduction}\label{sec:intro}
Consider an experimentalist observing a physical system modeled by a discrete time \emph{dynamical system} $(X,T)$, where $T\colon X \to X$ is the evolution rule and the \emph{phase space} $X$ is a subset of the Euclidean space $\mathbb{R}^N$. It often happens that, for a given p... |
1811.05733 | \section{Introduction}\label{s1}
Let $L_1,\cdots,L_n$ be holomorphic line bundles on a complex manifold $X$
of dimension $n$
and let $V_i\subset\Gamma(X,L_i)$ be a finite dimensional subspace of holomorphic sections,
such that
\begin{equation}\label{1}
\forall i\leq n,\:x \in X \ \exists s\in V_i: s(x) \ne 0.
\... |
1811.05888 | \section{Introduction}
\label{sec:intro}
The solutions of the Euler equation for fluid dynamics are not unique.
An additional law of physics, in the form of an entropy principle, is
needed to ensure a physically meaningful solution. Wild and manifestly
nonphysical solutions have been studied extensively \cite{DelSze09... |
2210.03644 | \section{Introduction}
Let $X=\{X_n:\, n\in\mathbb{N}\}$ be a linear process defined by
\begin{equation}\label{def-Xn}
X_n=\sum_{i=0}^{\infty}a_{i}\varepsilon_{n-i},
\end{equation}
where the innovations $\varepsilon_i$ are i.i.d. real-valued random variables belonging to the domain of attraction of an $\alpha$-stab... |
2010.12999 | \section{Asymptotic Estimates}
\label{sec:asymptoticestimates}
Here we prove symptotic estimates for the Fourier coefficients of the form $\Phi_\nu$ arising in our modified Gross-Zagier calculations, for large $\nu$. (The first section is from last year.)
\subsection{ $\epsilon(\nu) = 1$ , $\nu$ large}
\label{sec:as... |
1909.07733 | \section{Introduction}
Since Einstein proposed his general theory of relativity in 1915, a lot of research has been devoted to unify General Relativity (GR) and Electromagnetism as two fundamental interactions in nature. However, the early proposals date back to the 1920s, through Kaluza–Klein theory to unify these in... |
2101.05756 | \section{Introduction}
Over the last decade the acquisition of ever more complex data, structures and shapes has increased dramatically. Consequently, the need to develop meaningful methods for comparing general objects has become more and more apparent. In numerous applications, e.g. in molecular biology \citep{hol... |
2101.05709 | \section{Introduction}
\label{sec:intro}
With the development and integration of cyber physical and safety critical systems in various engineering disciplines, there is an increasing need for computational tools for verification and control of such systems according to rich and complex specifications. A prominent examp... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.