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1,314,259,995,563
arxiv
\section{Introduction.} A kicked system is a Hamiltonian system that is periodically driven by pulses of infinitesimal duration. More than thirty years after the invention of the paradigmatic model of such systems, namely the Kicked Rotor (KR) \cite{kr}, Kicked Quantum Dynamics is still the focus of active r...
1,314,259,995,564
arxiv
\section{Introduction and main results} \smallskip \subsection{The model} We consider a $(1+1)$-dimensional model of a polymer depinned at an infinity of equi-spaced horizontal interfaces. The possible configurations of the polymer are modeled by the trajectories of the simple random walk $(i,S_i)_{i\geq 0}$, where ...
1,314,259,995,565
arxiv
\section{Introduction} The interplay of strong spin-orbit coupling (SOC) with superconductivity has become a major focus of research in recent years, as both are essential ingredients to stabilize Majorana bound states. The spin-orbit interaction affects the electronic states in a material in various ways and in parti...
1,314,259,995,566
arxiv
\section{Introduction} In the work of Keller--Rubinstein--Sternberg \cite{MR978829,MR1025956}, they created a general gradient flow theory in the descriptions of fast reaction and slow diffusion, and established its relations to the mean curvature flow (MCF) and the harmonic heat flows into manifol...
1,314,259,995,567
arxiv
\section{Introduction} Coherent spin manipulation in quantum dots (QDs) \cite{spin resonance,control-geometric phase1,control-geometric phase2,optical-control1,optical-control2,optical-control3,Nowack,Petta,Giroday} is the key element in the state-of-the-art spintronics and solid-state quantum information \cite{Hans...
1,314,259,995,568
arxiv
\chapter{\clearpage \global\@topnum\z@ \@afterindenttrue \secdef\@chapter\@schapter} \begin{document} \begin{titlepage} \begin{picture}(350,130)(0,10) \put(330,135){KEK-preprint-94-162} \put(330,120){NWU-HEP 94-07} \put(330,105){DPNU-94-59} \put(330,90){TIT-HPE-94-013} ...
1,314,259,995,569
arxiv
\section{Introduction} \label{sec:intro} The measurement of stellar radial velocity (RV) is one of the most effective techniques employed in the search for exoplanets. At the Bohyansan Optical Astronomical Observatory (BOAO), we have been conducting an exoplanet search program around late-type giant stars since 2...
1,314,259,995,570
arxiv
\section{Introduction} Analysis on and of rectifiable sets in Euclidean spaces is made possible by a variety of results, among which some of the most essential are the Rademacher Theorem, the extension theorem for Lipschitz functions and Area and Coarea formulae, see e.g.~\cite{EvansGariepy}. Starting from the 90's, ...
1,314,259,995,571
arxiv
\section{Introduction} \vspace{-1.25mm} The properties of vector mesons at finite baryon density, such as its mass and decay width, have attracted considerable experimental and theoretical interest over the last few decades~\cite{vectormesonsinnuclmatt}, in part due to their potential to carry information on the part...
1,314,259,995,572
arxiv
\section{Introduction} Transmitting power over long distances with minimal losses is one of the greatest challenges in today's power transmission systems. The strong rising share of renewables increased the distances between power generation and consumption. This is a driving factor behind long-distance power transmis...
1,314,259,995,573
arxiv
\section{Algorithms} \label{sec:alg} \begin{figure}[t] \centering \includegraphics[width=0.8\linewidth]{fig_dynamic.pdf} \caption{(a): The negative database $D_-$ holding only rows containing a pattern $P$. (b): The negative database $D_-$ holding only rows containing a pattern $P \cup \set{i}$. This can ...
1,314,259,995,574
arxiv
\section{\label{sec:level1}Introduction} Bright flaring from accreting black holes is seen at all wavelengths, but the mechanism powering high-energy flares is still a topic of major debate. Rapid $\gamma$-ray flares have been observed from active galactic nuclei, in the form of very high-energy ($> 100$ GeV) emission...
1,314,259,995,575
arxiv
\section{Introduction} In its most general form, the Goldstone theorem says that in a translationally-invariant system spontaneous breaking of a continuous symmetry $G$ produces gapless bosonic excitations, i.e. excitations whose energy vanishes as the spatial momentum ${\mathbf q}$ goes to zero. These gapless excitat...
1,314,259,995,576
arxiv
\section{Introduction} Within a physical theory there are often effects or phenomena studied in idealized form in order to gain insight into the peculiarities of the theory. In Quantum Mechanics one such effect is the appearance of topological quantum phases in the wave functions of particles moving freely in multip...
1,314,259,995,577
arxiv
\section{Introduction} \label{sec:intro} Elongated filaments of gas and dust are ubiquitous in molecular clouds \citep[e.g.][]{molinari2010}. These clouds are stellar nurseries and the filaments they host may play an important role in star formation, with the majority of star-forming cores lying along filaments ``like ...
1,314,259,995,578
arxiv
\section{Introduction} \indent Currently there are three pieces of evidence which suggest that neutrinos have non-zero mass differences and mixings. These are: (i) the observations of solar neutrinos, (ii) the anomaly in the $\nu_{\mu}/\nu_e$ ratio in atmospheric neutrinos at low energies and (iii) the possible $\...
1,314,259,995,579
arxiv
\section{Introduction} Let $\F_{q}$ be the Galois field with $q$ elements. Let $\PG(N,q)$ be the $N$-dimensio\-nal projective space over $\F_q$. An $n$-arc in $\PG(N,q)$, with $n\ge N + 1\ge3$, is a set of $n$ points such that no $N +1$ points belong to the same hyperplane of $\PG(N,q)$, see \cite{BallLavrauw} and t...
1,314,259,995,580
arxiv
\section{Introduction} \label{sec:introduction} Geometrical inequalities play an important role in General Relativity, in particular for vacuum black holes, where the geometrical aspects of the theory appears in their pure form. A geometrical inequality in General Relativity relates quantities that have both a physica...
1,314,259,995,581
arxiv
\section{Introduction} Let $E$ be an elliptic curve over $\mathbf Q$ with conductor $N$, and let $K$ be a quadratic imaginary field of discriminant $d_K$ prime to $N$ with quadratic character $\epsilon$. By work of Gross and Zagier, the sign of the functional equation of $L(E/K,s)$ is equal to $-\epsilon(N)$, For a...
1,314,259,995,582
arxiv
\section{Introduction} Open quantum dynamics---the study of the evolution of quantum systems interacting with an environment---has wide sweeping theoretical and experimental importance. It is fundamental in the study of quantum thermodynamics. Since thermalization is a non-unitary process, it requires an environment. O...
1,314,259,995,583
arxiv
\section{Introduction} Entanglement is one of the most intriguing phenomena promised by quantum physics. As the ``spooky action at a distance'' unveils itself with the development of quantum physics, entanglement also turns out to be beneficial to various applications in communication~\cite{gisin2002,xu2020,pirandola2...
1,314,259,995,584
arxiv
\section{Introduction} Surface plasmons, the collective oscillations of conduction electrons in metallic structures, allow us to confine light down to deep subwavelength volumes \cite{NH06}. Additionally, they couple strongly to electromagnetic fields \cite{HLC11}. Because of these properties, plasmons are excellent t...
1,314,259,995,585
arxiv
\section{Introduction} \label{sec:intro} There are many observational evidences that astrophysical objects like young stellar objects (YSOs), accreting white dwarfs, X-ray binaries (XRBs), and active galactic nuclei (AGN) produce jets. AGN jet is a relativistic, collimated outflow which spans over large distance (few ...
1,314,259,995,586
arxiv
\section{Introduction} Quantum monitoring refers in general to the action of perform a sequence of quantum measurements on a system or a portion of it\,\cite{JacobsContempPhys2006,WisemanBook,WeberNature2014,RossiPRL2020}. Being the single quantum measurement a dynamical process with probabilistic nature, it is custom...
1,314,259,995,587
arxiv
\section{Introduction} It has been known since the early eighties \cite{CQ:1982} that the orthogonal projector $S^0_N$ mapping $\mathrm{L}^2(-1,1)$ onto the space of univariate polynomials of degree less than or equal to $N$ (equivalently, $S^0_N$ is the operation consisting in truncating the Fourier--Legendre series ...
1,314,259,995,588
arxiv
\section{\sectionfont Introduction} Each electronically charged elementary particle has a counterpart with the opposite electronic charge which is known as its \textit{antiparticle} (antiparticles are also referred to as \textit{antimatter}) and just like normal particles, antiparticles do combine, forming atoms of an...
1,314,259,995,589
arxiv
\section{Architecture and Implementation Details} \subsection{Model architecture.} We implement the convolutional encoder and decoder architectures following~\cite{liu2021fuseformer, li2022towards}, where the channel dimension $C$ is set to $128$ for our standard model and $64$ for the small version. The optical flow c...
1,314,259,995,590
arxiv
\section{#2 \newcommand{\Sec}[1]{{Sec.~\ref{sec:#1}}} \renewcommand{\subsection}{\@startsection{subsection}{2}{0pt}% {-3.25ex plus -1ex minus -.2ex}% {1.5ex plus .2ex}% {\centering\normalsize\itshape}} \newcommand{\startappendices}{% \setcounter{equation}{0}% \setcounter{section}{1}% ...
1,314,259,995,591
arxiv
\section{Introduction} \label{intro} The problem of packing of spheres plays a major role in the modeling of many physical systems and has been studied for more than four decades. Some of the early examples~\cite{alder1,alder2,hoover1} of the computer simulations of hard sphere liquids suggest the existence of a first...
1,314,259,995,592
arxiv
\section{Introduction} Antiferromagnets (AFs) are considered perspective materials for spintronic applications: they exhibit fast magnetic dynamics with excitations in the THz range, are fundamentally insensitive to external magnetic fields, and produce no stray fields.\cite{MacDonald2011, Gomonay2014, Jungwirth201...
1,314,259,995,593
arxiv
\section{Introduction} It is straightforward that the distribution of a homogenous Poisson point process on $\mathbb{R}^d$ is preserved by isometries. In the literature, various \emph{translation-equivariant} and \emph{isometry-equivariant} operations on Poisson process have been considered: \begin{itemize} \i...
1,314,259,995,594
arxiv
\section{Introduction} Free-electron devices based on field emission played an important role in the early days of electronic systems development. In fact, vacuum tubes constituted the main building blocks of the first electronic computers, including Colossus\cite{randell1982}, used by the British to decipher German e...
1,314,259,995,595
arxiv
\section{The Lie algebra rank condition of geometric control theory} \label{intro} Consider a control system of the form \be{genconsys} \dot x=f(x,u), \end{equation} where $x$ is the state varying on a compact Lie group and $u$ the control. The system is said to be {\it right invariant} if, denoting by $x(t,u,s)$ the ...
1,314,259,995,596
arxiv
\section{Introduction} Some irreversible fractal aggregates display in nature peculiar structural transitions during their growing processes. Electrochemical deposition experiments \cite{Fle92} and bacterial colony growth \cite{Ben92} are two examples of such phenomena. It has been reported that, at a certain thresh...
1,314,259,995,597
arxiv
\section{Magnetic field from synchrotron self-absorption} \label{a:mf_turnover} Interpretation of a radio spectrum with the low-frequency turnover caused by synchrotron self-absorption, and determination of physical parameters within this assumption date back to the 1960s \citep[see, for example, one of the pioneeri...
1,314,259,995,598
arxiv
\section{Introduction} Prediction is often considered as one of the key and fundamental components of intelligence \cite{bubic}. Visual prediction often deciphers much useful information about the environment in an information-rich but high dimensional format which presents both opportunities and challenges \cite{eber...
1,314,259,995,599
arxiv
\section{Introduction} \label{sec:intro} Model-based simulation of complex physical systems plays an essential role in understanding real world phenomena. These models are often characterized by partial differential equations (PDEs), and are typically subject to uncertainties stemming from unknown coefficient fields, ...
1,314,259,995,600
arxiv
\section{\Large Introduction.} \setcounter{equation}{0} \def\Alph{section}.\arabic{equation}{\arabic{section}.\arabic{equation}} \noindent This paper explains and develops the approach recently described by one of the authors in refs.~\cite{EdeR14,EdeR17a,EdeR17b} to evaluate the hadronic vacuum polarization (HVP)co...
1,314,259,995,601
arxiv
\section{{Discussion, Limitations and Future Work}} \label{sec:discussion} We introduced a novel system GraphQ\ to perform interactive visual pattern queries on graph databases based on user-created query patterns. To facilitate interactive query, we utilize graph representation learning to resolve the problem of subg...
1,314,259,995,602
arxiv
\section{Introduction} The existence of super-massive black holes (SMBHs) with masses larger than billion solar masses at $z\gtrsim6$ \citep[e.g.,][]{Banados18a,Matsuoka18a, Wang21b}, when the Universe was $<1$ Gyr old, challenges our current understanding of SMBH and galaxy formation and evolution, and is thus one of...
1,314,259,995,603
arxiv
\section{Introduction} \label{sec:intro} Many biological and technological soft materials involve fixed and mobile charges, for which long-range electrostatic forces play a major role in their structure and function. For instance, ion channels embedded in cellular membranes enable an incredibly selective and controlla...
1,314,259,995,604
arxiv
\section*{Appendix \thesection\protect\indent \parbox[t]{11.15cm} {#1} } \addcontentsline{toc}{section}{Appendix \thesection\ \ \ #1} } \newcommand{\eq}[1]{(\ref{#1})} \def {\textstyle {1\ov 4}}{{\textstyle {1\over 4}}} \def \textstyle {1\ov 3} { \textstyle {1\over 3}} \def\hbox{det}{\hbox{det}} \def\begin{eq...
1,314,259,995,605
arxiv
\section{\textbf{Introduction}} Let $GL_n$ be the general linear group over an algebraically closed field $\mathbb{F}$. There is a much-studied decomposition of $GL_n$ into double cosets of the Borel subgroup $B\subset GL_n$ of invertible upper triangular matrices \begin{equation}\label{E:GBdecomposition} GL_n = \bigc...
1,314,259,995,606
arxiv
\section{Discussion and conclusions}\label{sec:conclusion} One of the important open questions from the observations of the first BNS merger GW170817 was whether the gamma ray emission from GRB170817A is powered by a relativistic jet, and whether this burst is one among the population of cosmological short GRBs. The ab...
1,314,259,995,607
arxiv
\section*{Introduction} \title[ On the intersection ideal graph of semigroups]{On the intersection ideal graph of semigroups} \author[Barkha Baloda, Jitender Kumar]{Barkha Baloda, $\text{Jitender Kumar}^{^*}$} \address{Department of Mathematics, Birla Institute of Technology and Science Pilani, Pilani, India} \ema...
1,314,259,995,608
arxiv
\section{Introduction} Beyond classic combinatorial relaxations \cite{Goem95}, semidefinite programming has recently found a new stream of applications in machine learning \cite{Lanc02}, geometry \cite{Wein06}, statistics \cite{dAsp06b} or graph theory \cite{Sun05}. All these problems have a common characteristic: they...
1,314,259,995,609
arxiv
\section{Comparison with Related Works} \label{sec:comparison} In recent years, a variety of financial agreements and processes have been implemented using smart contracts. The first such contract was BitHalo \cite{bithalo}. It replaced middlemen in an escrow, and allowed distrusting parties to buy and sell goods o...
1,314,259,995,610
arxiv
\section{Results at half filling} \label{sectionIII} The half-filled Hubbard model is known to be an antiferromagnet for any strength of the coupling $U$. We assume a staggered magnetization on the bipartite square lattice \begin{equation} \vec \phi_0 (\vec r)=\pm \varphi \vec n \end{equation} where $\vec n$ is any c...
1,314,259,995,611
arxiv
\section{Introduction} We call the potentials that are exactly zero beyond a certain distance strictly finite-range (SFR) potentials. The conventional nuclear potentials are in principle not SFR potentials, but in practice, if the radial Schr\"odinger equation is solved numerically as is usual, a cutoff at a finite ...
1,314,259,995,612
arxiv
\section{Introduction} \begin{table*} \begin{center} \begin{minipage}{9cm} \caption{Orbital and Physical parameters of the Typhon-Echidna binary system.} \end{minipage} \begin{tabular}{c c c c c c c} \hline Body &Orbits &$a_0$ &$e_0$ &$i_0$ &Mass$^{3}$ (kg) &Radius$^{2}$ (km) \\ & & & & & ...
1,314,259,995,613
arxiv
\section{Introduction} In the last few decades much effort has been put into the modeling of radiative transfer in relativistically moving atmospheres such as novae and supernovae. One of the state of the art techniques to solve this problem is the operator splitting (OS) method. This method has been successfully used...
1,314,259,995,614
arxiv
\section{Introduction} Speech synthesis is the task of generating speech waveforms with desired characteristics, including but not limited to textual content~\citep{hunt1996unit,zen2009statistical,shen2018natural,ping2017deep,li2019neural}, speaker identity~\citep{jia2018transfer,cooper2020zero}, and speaking styles~\...
1,314,259,995,615
arxiv
\section{Introduction} \input{sections/introduction} \paragraph{Related Work} \input{sections/related_work} \section{Setting} \input{sections/setting} \section{Choice of the class of algorithms} \label{sec:choice_strategies} \input{sections/choice_class_strategies} \section{Learning in a stationary environment} \in...
1,314,259,995,616
arxiv
\section{An Extra Postulate is Required} I believe most physicists would consider that the postulates (or at least the properties they embody) concerning the superposition, evolution and measurement of quantum states cover the essence of Quantum Mechanics, the theory that is at the basis of current fundamental Physics...
1,314,259,995,617
arxiv
\section*{Plain Language Summary} The earth system is exceedingly complex and often chaotic in nature, making prediction incredibly challenging: we cannot expect to make perfect predictions all of the time. Instead, we can look for specific states of the system that lead to more predictable behavior than others, often ...
1,314,259,995,618
arxiv
\section{Introduction} As people across the world become increasingly aware of how their privacy is compromised in this digital era, the field of Privacy Enhancing Technologies, or PETs, has boomed. The first workshop on Privacy Enhancing Technology was in 2000, then called the "Workshop on Design Issues in Anonymity a...
1,314,259,995,619
arxiv
\section{Introduction} For theories of the early universe, the right amount of perturbations must be generated so as to conform with our observations such as cosmic miscrowave background (CMB) \cite{Larson:2010gs} and large scale structures (LSS) \cite{Bernardeau:2001qr}. One of the well-known observed features is, th...
1,314,259,995,620
arxiv
\subsubsection*{\bibname}} \usepackage{booktabs} \usepackage{xcolor} \usepackage{subcaption} \usepackage{graphicx} \usepackage{calc} \newlength{\imagew} \newlength{\imageh} \newlength{\legendw} \newlength{\legendh} \newlength{\legendx} \newlength{\legendy} \newcommand{\graphicswithlegend}[6]{ \setlength{\ima...
1,314,259,995,621
arxiv
\section{Introduction} \label{sec:intro} A lot of real-time data is generated within Uber’s data centers. This data originates in different sources such as end user applications (driver/rider/eater) or the backend microservices. Some of this data consists of application or system logs continuously emitted as part of da...
1,314,259,995,622
arxiv
\section{Introduction} The quantum nature of gravity is one of the greatest open questions in fundamental physics, and despite decades of effort no complete theory of quantum gravity has been forthcoming. A major obstacle in this endeavour has been the paucity of experimental data constraining potential quantum gravit...
1,314,259,995,623
arxiv
\section{The Questions} I think it is appropriate to ask what are some of the "Big Questions" in particle and nuclear physics, and how does this meeting address them. The choice of questions reflects my view of the field, and it is certainly not universally held. \begin{itemize} \item{\bf What are the fundamental int...
1,314,259,995,624
arxiv
\section{INTRODUCTION \label{intro}} It is well known that the formation rate per unit mass of low-mass X-ray binaries (LMXBs) is orders of magnitude greater in globular clusters (GCs) than in the Galactic field (Katz 1975; Clark 1975). The high formation rate of LMXBs in GCs is attributed to the frequent dynamical...
1,314,259,995,625
arxiv
\section{Introduction} Currently observable metal-poor stars ($[\mathrm{Fe}/\mathrm{H}]\footnotemark<-2$)\footnotetext{The relative abundance of element A with respect to element B is $\text{[A/B]}=\log\left(C_\text{A}/C_\text{B}\right)-\log\left(C_\text{A}/C_\text{B}\right)_\sun$ where $C$ is the number or mass fract...
1,314,259,995,626
arxiv
\subsection*{I. Interacting soft gluons in the small-$x_B$ region of DIS} A number of striking phenomena have been observed in recent deep-inelastic electron-proton scattering experiments in the small-$x_B$ region. In particular it is seen, that the contribution of the gluons dominates\cite{r1}, and...
1,314,259,995,627
arxiv
\section{Introduction} Radiative emission of neutrino pair (RENP) from atoms or molecules has been considered as a novel tool in neutrino physics~\cite{Fukumi2012a}. The standard model of particle physics predicts that an excited state $|e\rangle$ of an atom deexcites to a ground (or lower-energy) state $|g\rangle$ ...
1,314,259,995,628
arxiv
\subsection{The ``Teaser Figure''} \bibliographystyle{ACM-Reference-Format} \section{Introduction} ACM's consolidated article template, introduced in 2017, provides a consistent \LaTeX\ style for use across ACM publications, and incorporates accessibility and metadata-extraction functionality necessary for f...
1,314,259,995,629
arxiv
\section{Introduction} \label{Introduction} With the great success of mobile Internet, fifth generation (5G) cellular networks have been standardized to meet competing demands (\textit{e.g.} extremely high data rate, low-latency and massive connectivity) and proliferation of heterogeneous devices. However, the existi...
1,314,259,995,630
arxiv
\section{Introduction} \label{sec:intro} In this paper, we consider the problem of learning a functional mapping from a high-dimensional input space with structured sparsity to a multivariate output space where responses are coupled (therefore making the estimator doubly structured), with an application for detecting g...
1,314,259,995,631
arxiv
\section*{Abstract} In the scientific digital libraries, some papers from different research communities can be described by community-dependent keywords even if they share a semantically similar topic. Articles that are not tagged with enough keyword variations are poorly indexed in any information retrieval system w...
1,314,259,995,632
arxiv
\section{Introduction} A natural question about automata and related models of computation is the length of the shortest string an automaton accepts. A function mapping the size of an automaton to the maximum length of the shortest accepted string, with the maximum taken over all automata of that size, is a certain co...
1,314,259,995,633
arxiv
\section{Introduction and main results} This paper is a continuation of a previous work~\cite{GonLewNaz-20_ppt} where the last two authors together with F.Q.~Nazar studied the existence of ground states for the \emph{nonlinear Schr\"odinger equation} (NLS) for systems of orthonormal functions. In the present paper, ...
1,314,259,995,634
arxiv
\section{Introduction} The study of positive definite matrices and of functions that preserve them arises naturally in many branches of mathematics and other disciplines. Given a function $f: \R \to \R$ and a matrix $A = (a_{st})$, the matrix $f[A] := (f(a_{st}))$ is obtained by applying $f$ to the entries of $A...
1,314,259,995,635
arxiv
\section{Introduction}\label{Secintro} River basin geomorphology is a very old subject of study initiated by Horton \cite{H45}. Hack \cite{H57}, studying the drainage system in the Shenandoah valley and the adjacent mountains of Virginia, observed a power law relation \begin{equation} \label{Hacklaw} l \sim a^{0....
1,314,259,995,636
arxiv
\section{#1}\setcounter{equation}{0}\setcounter{theorem}{0}} \newcommand{\begin{equation}}{\begin{equation}} \newcommand{\end{equation}}{\end{equation}} \newcommand{\begin{eqnarray}}{\begin{eqnarray}} \newcommand{\end{eqnarray}}{\end{eqnarray}} \newcommand{\begin{eqnarray*}}{\begin{eqnarray*}} \newcommand{\begin{eqnarr...
1,314,259,995,637
arxiv
\section{Motivation} \label{sec-intro} Precise measurement of $\pi^0$ production when a neutrino scatters coherently off a target nucleus, {\boldmath $\nu + {\cal A} \rightarrow \nu + {\cal A} + \pi^0$}, depicted in Figure~\ref{fig-feynman}, is challenging: the cross-section ($\sigma$) of coherent-$\pi^0$ (\boldma...
1,314,259,995,638
arxiv
\section{Introduction} The James Webb Space Telescope (JWST) was launched on 25 December 2021, and after a journey of about a month, JWST arrived at its final destination -- the second Lagrange point (L2) of the Sun-Earth orbit. The L2 is located at $\sim 1.5 \times 10^6$~km away from the Earth, implying it is possibl...
1,314,259,995,639
arxiv
\section{Introduction} In the last years, the utilization of FPGA accelerator cards became more common thanks to the availability of integrated tool flows based upon high level synthesis (HLS), which allow to generate hardware starting from a code listing easing the development and testing of designs. Even if multipl...
1,314,259,995,640
arxiv
\section{Introduction} \label{intro} Fluids of two-dimensional hard anisotropic particles are paradigmatic examples of systems exhibiting entropy-driven phase transitions to orientationally and positionally ordered phases. The elucidation of the phase behavior of two-dimensional fluids composed of hard particles is ...
1,314,259,995,641
arxiv
\section{Weighted floating bodies and polytopal approximation in $\R^n$}\label{sec:weighted} Let $\cK({\R^{n}})$ denote the set of convex bodies (that is, compact convex sets) in ${\R^{n}}$ with non-empty interior. For $K\in\cK({\R^{n}})$ and $\phi,\psi:K\to(0,\infty)$ integrable, define, for $A\subset {\R^{n}}$ mea...
1,314,259,995,642
arxiv
\section{Introduce a modified integration} Nearly twenty years ago Kloeden and Platen~\cite{Kloeden92} described schemes for numerically integrating stochastic differential equations (\sde{}s). Intervening research led to recent developments of useful Runge--Kutta like methods for It\^o \sde{}s by Andreas Rossler~\ci...
1,314,259,995,643
arxiv
\section{Introduction} \IEEEPARstart{I}{n} dexterous reach-to-lift-and-grasp tasks without vision, non-amputee individuals use tactile sensations from their hand and fingers to localize and form their hand to the contours of the object upon contact in order to securely yet economically grasp it \cite{Karl2013NonvisualR...
1,314,259,995,644
arxiv
\subsection{\large Supplemental Material for ``Higher Order Topology and Nodal Topological Superconductivity in Fe(Se,Te) Heterostructures"} \section{Full Hamiltonian with Superconductivity and Bicollinear Antiferromagnetism} The full effective model for the FTS/FT heterostructure is \bea H_{\rm FTS} &=& {\cal G}_1...
1,314,259,995,645
arxiv
\section{Introduction}\label{sec:Intro} Entanglement \cite{Guehne.Toth2009,Horodecki.etal2009} is one of the most notable characteristics of quantum theory as compared to classical theory. Apart from its fundamental importance, quantum entanglement also plays a vital role in various tasks in quantum information process...
1,314,259,995,646
arxiv
\section{Introduction} A black hole spacetime is characterized, as shown in Eddington-Finkelstein coordinates for the Schwarzschild spacetime in Fig. 1. Contracting ellipses depicting a gravitationally collapsing spherical star, are shown to form a marginally outer trapped null surface called the Event Horizon. Local...
1,314,259,995,647
arxiv
\section{Introduction and Statement of Results} The modular invariant $j$ is defined by \[j(z):=\frac{E_4(z)^3}{\Delta(z)}= q^{-1}+744+ 196884q+ \ldots,\] where $q:=e^{2\pi iz},$ $E_4(z)$ is the Eisenstein series of weight $4$, and $\Delta(z)$ is the modular discriminant function. The values of the $j$-function at CM...
1,314,259,995,648
arxiv
\section{Introduction} \subfile{introduction.tex} \section{GNA Architecture} The computation process in GNA is represented by a directed graph in which nodes represent functions and edges present the data flow. Nodes are called transformations, which is an abstraction layer for \CC functions. They may have input...
1,314,259,995,649
arxiv
\section{Introduction} Let $X \to \De$ be a smooth projective family of complex manifolds over a disc. A celebrated result of Siu (see \cite{Siu98, Siu02}) asserts that the plurigenera $h^0(X_t, \Oo_{X_t}(mK_{X_t}))$ is a constant function of $t \in \De$ for each positive integer $m$. Results of such type have been in...
1,314,259,995,650
arxiv
\section{Introduction} \label{sec:introduction} \IEEEPARstart{T}{he} field of quantum computing has witnessed a surge of interest from different fields in the scientific community recently. With the realization of quantum devices with increasing qubits and fidelity by several manufacturers like IBM~\cite{ibmq2022} and...
1,314,259,995,651
arxiv
\section{Introduction} Deep convolutional neural networks gain remarkable successes in object recognition in recent years \cite{Bengio_etal_2013RL,Krizhevsky_etal_2012ICDCN,Simonyan_Zisserman_2015DCNIR}. However, most successful deep neural networks are trained under supervised learning frameworks, which always requir...
1,314,259,995,652
arxiv
\section*{Introduction} Ohkawa proved in \cite{O} that the homotopy category of spectra has only a set (that is, not a proper class) of distinct homological acyclic classes. The \emph{homological acyclic class} or \emph{Bousfield class} $\langle E\rangle$ of a spectrum $E$ consists of all $E_*$\nobreakdash-acyclic s...
1,314,259,995,653
arxiv
\section{Introduction} AM Her systems (polars) are semidetached binaries that consist of strongly magnetic white dwarf (WD) primaries and red dwarf (RD) secondaries. Polars were first recognized in 1976 with the discovery of circular polarization in AM Her (Tapia 1976, 1977). Magnetic fields play a crucial role in det...
1,314,259,995,654
arxiv
\section{Introduction} The $\Lambda$CDM cosmological model does a good job of reproducing the current cosmological observations. In this model, the standard model of particle physics is supplemented by a cosmological constant $\Lambda$ and a dark matter particle. This dark matter particle is assumed to interact purely ...
1,314,259,995,655
arxiv
\subsection{Data}\label{sec:Dataset} Our analyses rely on daily adjusted closing prices and daily number of traded shares (volumes) for 12 representative constituents of the S\&P100 index in the period from December 31\textsuperscript{st}, 2014 to November 29\textsuperscript{th}, 2021 ($V= 1,741$ trading days). T...
1,314,259,995,656
arxiv
\section{Introduction} \label{sec:intro} The introduction of WebAssembly\xspace~\cite{haas_bringing_2017}, a portable low-level language with focus on security and efficiency, has led to an array of security-sensitive applications. Cryptography libraries such as libsodium~\cite{libsodium} and HACL*~\cite{protzenko_f...
1,314,259,995,657
arxiv
\section{Introduction} \label{sec:intro} Strong gravitational lensing (SGL) is a powerful tool to investigate a large variety of open questions in cosmology. The formation of the distorted images of background galaxies, the ``sources'', depend on the total mass of the foreground gravitational systems acting as ``deflec...
1,314,259,995,658
arxiv
\section{Introduction} Throughout this paper the term {\it operator}\/ means a bounded linear transformation of a Hilbert space into itself$.$ An operator is {\it posinormal} if its range is included in the range of its adjoint$.$ The class of posinormal operators includes the class of hyponormal operators$.$ An opera...
1,314,259,995,659
arxiv
\section{introduction} Beam dump experiments have been aimed at searching for new particles, such as dark photons and axions (see, e.g. \cite{Essig:2013lka} and references therein) that decay to lepton and/or photon pairs. Electron beam dumps in particular have received a large amount of theoretical attention in recen...
1,314,259,995,660
arxiv
\section{Introduction} \label{intro} {\sc Mercury} \citep{Chambers1999} is a general-purpose software package, written in {\sc fortran77}, for doing N-body integrations to investigate dynamical problems in Astronomy. In a set of simulations to study accretion dynamics using {\sc Mercury} \citep{Torres2008}, it was fou...
1,314,259,995,661
arxiv
\section{Introduction} Extrasolar planet detections and analysis of the non-detections further our knowledge of the planet formation process and contribute to an empirical determination of the typical planetary system. These empirical constraints will eventually decide the ubiquity or rarity of planetary bodies in th...
1,314,259,995,662
arxiv
\section{Introduction} Suppose $f: {\mbox{\bf R}}^n \to {\mbox{\bf R}}$ is a convex function, and $\alpha \in {\mbox{\bf R}}$. We refer to the function $\min\{f(x),\alpha\}$ as a \emph{clipped convex function}. In this paper we consider the problem of minimizing a sum of clipped convex functions, \begin{equation} ...