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3,212,635,538,306
arxiv
\section{Introduction} \input introShort \section{Test Set Up and Calibrations} We exposed to a beam of $\approx 500$\,MeV electrons, of about (10$\times$5)\,mm$^2$ RMS transverse size, produced at the Frascati Beam Test Facility(BTF)\,\cite{BTF}, seven different assemblies of scintillator tiles coupled to different s...
3,212,635,538,307
arxiv
\section{Introduction} \vspace{0.5in} \subsection{Summary of results} A deep connection between quantum integrable systems and quantum geometry, in particular quantum cohomology and $K$-theory, was observed in the pioneering works of N. Nekrasov and S. Shatashvili \cite{ns1}, \cite{ns2}. It was noted, that the integ...
3,212,635,538,308
arxiv
\section*{Introduction} It is known that, as a result of the electrohydrodynamic instability development, the surface of a conducting liquid (liquid metal) takes the shape of a cone in a rather strong external electric field \cite{l.Zel,l.Taylor,l.Forbes,l.Odder,l.Zub01,l.Zub001,l.Zub04}. An enhancement ...
3,212,635,538,309
arxiv
\section{Introduction} Recently, with the growth of the population, the crime rate is increasing day by day, and violent action is also occurring everyday. It can take place in your neighborhood, whereas reaching to school, at school, and at the office. There is no foolproof solution to control violent actions. Video s...
3,212,635,538,310
arxiv
\section{OBSERVATIONS \& REDUCTIONS} Data was taken at the University of Arizona's 61-inch Kuiper telescope on Mt. Bigelow on April 14, 2007, May 12, 2008 and May 15, 2008 UT with the Mont4k CCD, binned to 0.43"/pix, in the R band. There were light clouds on May 12 ($<$ 1 magnitude extinction) but photometric conditio...
3,212,635,538,311
arxiv
\section{Introduction}\label{sec:intro} Large scale online services such as Gmail\footnote{https://mail.google.com}, Facebook\footnote{https://www.facebook.com} and Alipay\footnote{http://render.alipay.com/p/s/download} have becoming popular targets for cyber attacks. By creating malicious accounts, attackers can propa...
3,212,635,538,312
arxiv
\section{Introduction}\label{sec:intro} Baryogenesis via thermal leptogenesis~\cite{Fukugita:1986hr} provides an elegant explanation of the cosmic baryon asymmetry~\cite{wmap}. The conventional setup involves minimally extending the Standard Model (SM) by adding three heavy right-handed (RH) Majorana neutrinos, which ...
3,212,635,538,313
arxiv
\section{Introduction} \label{introduction} The recent availability of large datasets collected from various resources, such as digital transactions, location data and government census, is transforming the ways we study and understand social systems \cite{lazer2009computational}. Researchers and policy makers are abl...
3,212,635,538,314
arxiv
\section{Introduction} The roundoff errors in computer simulations of continuous dynamical systems, which are caused by finiteness of machine arithmetic, can lead to dramatic discrepancies between phase portraits of the resulting spatially discrete systems and the original systems \cite{Blank,Kozyakin,Kuznetsov}....
3,212,635,538,315
arxiv
\section{Introduction} The atomic energy scales emerging in “strongly correlated” systems~\cite{Mott-book,Kotliar-Science,Adler_2018} can induce a broad spectrum of spectacular effects, ranging from arresting the electronic motion~\cite{Mott-book} to causing high-temperature superconductivity~\cite{highTc-1}, unloc...
3,212,635,538,316
arxiv
\section{Introduction} Since 2011, significant and atypical arrival of two species of surface dwelling algae, \textit{Sargassum natans} and \textit{Sargassum Fluitans}, have been detected in the Mexican Caribbean Sea \cite{Munoz2019}. This Great Atlantic Sargasso Belt, named by \cite{Wang2019}, estimated maximum cover...
3,212,635,538,317
arxiv
\section{Introduction} \setcounter{equation}{0} \label{sec1} A problem in superstring perturbation theory which has remained relatively unexplored is scattering amplitudes involving Ramond states. For tree-level and one-loop orders, such amplitudes had been investigated early on in \cite{Friedan:1985ge} and \cite{Atic...
3,212,635,538,318
arxiv
\section{Introduction} Clouds can have an important impact on the climate of terrestrial planets by either trapping the infrared radiation in the lower atmosphere (greenhouse effect) or by scattering incident stellar radiation back to space (albedo effect). The position and extension of the habitable zone (HZ) around...
3,212,635,538,319
arxiv
\section{\label{intro}Introduction} The atomic nucleus is a bound state composed of $A$ nucleons, having $Z$ protons and $A-Z$ neutrons, each one with three valence quarks with approximately the same mass. The interaction binding the nucleons together is a remnant of the fundamental strong interaction between the qu...
3,212,635,538,320
arxiv
\section{Introduction} A perfect shuffle is a very natural way of permuting $2n$ cards of a deck. The deck is divided in two parts and then the cards are reordered by interleaving the two decks in one of the two possible ways: one leaving the original top card on top (classical model), one leaving the original top c...
3,212,635,538,321
arxiv
\section{\label{sec:level1}Introduction} In quantum information processing, we often make use of coherent superpositions of quantum states to achieve an advantage over classical analogues. In order to preserve coherence, one may try to isolate the system from external influences, but this will come at the expense of lo...
3,212,635,538,322
arxiv
\section{Introduction} Sunspots and active regions are generally thought to be the result of magnetic fields emerging from deep at the bottom of the solar convection zone \citep{Fan09}. Alternatively, solar magnetic activity may be a shallow phenomenon \citep{B05}. Several recent simulations with realistic physics of ...
3,212,635,538,323
arxiv
\section*{Introduction} While most mathematicians are concerned in determining when two objects in their field are isomorphic, logicians tend to be concerned with the coarser notion of \emph{elementary equivalence}. Two (classical) structures $M$ and $N$ are said to be elementarily equivalent if and only if, for an...
3,212,635,538,324
arxiv
\section{Introduction} \label{sec:intro} Over the past decade increasing numbers of an enigmatic class of stellar system with luminosities and sizes intermediate between globular clusters (GCs) and dwarf or compact elliptical galaxies (dEs or cEs) have been discovered. Since their discovery in the Fornax cluster \c...
3,212,635,538,325
arxiv
\section*{Abstract} The envelopes covering bacterial cytoplasm possess remarkable elastic properties. They are rigid enough to resist large pressures while being flexible enough to adapt to growth under environmental constraints. Similarly, the virus shells play an important role in their functions. However, the ef...
3,212,635,538,326
arxiv
\section{Introduction} Let $G$ be a group and $S$ be a generating set for $G$. We denote the word length in $G$ associated to $S$ with $\norm{\param}_S$. Recall that the growth rate of $G$ (relative to $S$) is defined to be \[ h_G = \lim_{R \to \infty} \frac{\log \, \# B_R(G)}{R}, \qquad\text{where}\...
3,212,635,538,327
arxiv
\section{} \vspace{-0.2cm} \section{Introduction} \def\arabic{section}.\arabic{equation}{\arabic{section}.\arabic{equation}} \label{sec:intro} The interactions between two nucleons are one of the best studied strong interaction processes, which is due to the large data base of proton-proton and neutron-proton scatt...
3,212,635,538,328
arxiv
\section{Introduction} Tunneling phenomenon is one of the most remarkable and unique consequences of the wave nature of particles in quantum mechanics, where a particle can penetrate through classically forbidden regions. In solids, the quantum mechanical wavefunctions of electrons form the band structure separated...
3,212,635,538,329
arxiv
\chapter{First Chapter} \section{Introduction} The Marquise du Châtelet, like other thinkers of the Enlightenment, aspired to understand the exact sciences and gained a reputation for contributing to expound the scientific principles derived from philosophical thought. She studied the nascent science of mechanics thr...
3,212,635,538,330
arxiv
\section{Introduction} When dealing with the three-body variational problem with Hylleraas basis, it is usually necessary to make extensive use of integrals of the general form \cite{CP62} \begin{equation} I(l,m,n;\, \alpha,\beta,\gamma) = \frac{1}{16 \pi^2}\int \text{d} {\bf r}_1 \text{d} {\bf r}_2 \, r_1^{l-1} r_2^{m...
3,212,635,538,331
arxiv
\section{Introduction} Several problems in computer vision and image processing, such as object detection/classification, image denoising, inpainting etc., require solving multiple learning tasks at the same time. In such settings a natural question is to ask whether it could be beneficial to solve all the tasks join...
3,212,635,538,332
arxiv
\section{Introduction} Interest in observations of the Galactic fossil evidence contained in the spatial distribution and metallicities of stars was for a long time driven by phenomenological models of the formation of the Galaxy. The first model \cite{ELS62} proposed a monolithic and rapid collapse forming the halo ...
3,212,635,538,333
arxiv
\section{Introduction} Many natural behaviours comprise intrinsically of multiple different objectives. For instance, bipedal running can be decomposed to a) keeping a robot torso stable in the vertical plane, b) locomotion in the horizontal plane, c) keeping the velocity close to a desired velocity. The standard rein...
3,212,635,538,334
arxiv
\section{Introduction} \label{sec:intro} A stellar wind bow shock nebula is formed by the interaction of a stellar wind with the ambient interstellar medium (ISM) when the relative velocity between the two is supersonic \citep[e.g.,][]{Wilkin_1996}. Because the characteristics of these nebulae depend strongly on the p...
3,212,635,538,335
arxiv
\section{introduction} A real sequence $(a_j)_{j=0}^{k-1}$ is called an arithmetic progression of length $k$ if there exists $\Delta>0$ such that \[ a_j=a_0+ \Delta j \] for all $j=0,1,\ldots, k-1$. We say $\Delta$ is the gap difference of $(a_j)_{j=0}^{k-1}$. It is a big problem to show the existence or non-existence ...
3,212,635,538,336
arxiv
\section{Introduction} Radio telescope observing systems continue to be used to record high-time resolution data sets. In such data sets the total intensity of the received radio signal is sampled typically every $\sim 100$\,$\mu$s and with moderate (e.g., $\sim$\,MHz) channel bandwidths. For most historical data se...
3,212,635,538,337
arxiv
\section{Introduction} The problem of computing the nonlinear current response to a bias dropped across a nanoscale structure can be treated within the framework of the Nonequilibrium Green's Function (NEGF) formalism\citep{matsubara-PTP-1955,Martin-Schwinger-PR-1959,konstantinov-perel-JETP-1961,KB1962,Keldysh1964,Lan...
3,212,635,538,338
arxiv
\section{Introduction} \label{sec:introduction} Good software development practices, such as code reuse~\cite{Krueger1992}, continuous deployment, and automatic updates contribute to the emergence of software monocultures~\cite{birman2009monoculture}. While such monocultures facilitate software distributio...
3,212,635,538,339
arxiv
\section{INTRODUCTION} Any mass configuration that creates a time-dependent quadrupole of the stress-energy tensor will radiate away energy in gravitational waves. One of the best examples of this is the binary pulsar system J1915+1606, whose measured orbital decay of $76 \, {\rm \mu s/yr} $ is extremely well-describe...
3,212,635,538,340
arxiv
\setcounter{equation}{0}\ssection*{Figure Captions\markboth {FIGURECAPTIONS}{FIGURECAPTIONS}}\list {Figure \arabic{enumi}:\hfill}{\settowidth\labelwidth{Figure 999:} \leftmargin\labelwidth \advance\leftmargin\labelsep\usecounter{enumi}}} \let\endfigcap\endlist \relax \def\tablecap{\setco...
3,212,635,538,341
arxiv
\section{Introduction} Theoretical models have long been used to understand developmental patterning processes. Recent advances in imaging and computing allow us to develop increasingly realistic models of developmental pattern formation that can be validated with experimental data \cite{Iber:2012hm}. Such models open...
3,212,635,538,342
arxiv
\section{Introduction} Over the past years, observations and theory have been progressing significantly in understanding how the first large disk galaxies could form. Near-infrared (rest-frame optical) imaging from the HST reveals that, while $\sim$40\% of z$\sim$1-3 most massive (i.e., $M_{stellar} \geq 5\times10^{10}...
3,212,635,538,343
arxiv
\section{Introduction and summary} \begin{comment} Calabi--Yau manifolds have been important in both the mathematics and physics communities for many decades. Mathematically, these spaces are interesting due to their rich structure that is accessible using methods of algebraic and Kähler geometry. \end{comment} Calab...
3,212,635,538,344
arxiv
\section{Introduction}\label{sec:intro} Surveys of high-redshift quasars provide essential insight into the growth of supermassive black holes at high redshift and the buildup of the metagalactic ionizing background. The Sloan Digital Sky Survey (SDSS) provided the first large sample of $z\ga5$ quasars \citep{F...
3,212,635,538,345
arxiv
\section{Introduction} Quantitative phase analysis (QPA) by powder diffraction is one of the only truly phase-sensitive methods of analysis, as it can distiguish and quantify phases based on their unique crystal structures \cite{Madsen-VolH-2019}. Within the QPA of diffraction data, analyses can be divided into two s...
3,212,635,538,346
arxiv
\section{Introduction} \label{Introduction} Optimization is ubiquitous across science and industry. Specifically, the field of combinatorial optimization---the search for the minimum of an objective function within a finite but often large set of candidate solutions---is one of the most important areas in the field of...
3,212,635,538,347
arxiv
\section{Introduction} \label{sec:intro} \noindent Powder bed fusion (PBF) is a type of additive manufacturing (AM) where metal powder is melted by a laser or electron beam in a layer-wise fashion to enable the production of geometrically complex parts \cite{heinl}. AM undergoes continuous progress towards a technology...
3,212,635,538,348
arxiv
\section{Introduction}\label{sec0} The two-proton ($2p$) radioactivity of nuclei was predicted for the first time by Zel'dovich~\cite{Zel1960} and Goldansky~\cite{Goldansky1960,Goldansky1961} in the 1960s. It was treated as a new exotic decay mode with the simultaneous emission of the two protons from the unbound eve...
3,212,635,538,349
arxiv
\section{Introduction} The question of the nature of the superonducting state in SrTiO$_{3}$ (STO) recently has been sharply brought into focus. There are at least two main issues driving the current debate about superconductivity in STO. One is the observation of the superonducting state at extremely low dopings, wel...
3,212,635,538,350
arxiv
\section{Two Systems in Cascade} \label{sec.Cascade} The proof of the theorem can be found in Appendix \ref{appendix.Vert}. The theorem allows one to verify that a given composition of cascaded contracts refines a contract on the composite system by verifying three implications, each of them can be cast as a linear ...
3,212,635,538,351
arxiv
\section{Introduction} In 1940 Alonzo Church introduced in~\cite{Church40} a version of simple type theory with lambda-notation now known as \emph{Church's type theory}. Church's students Leon Henkin and Peter B. Andrews extensively studied and refined Church's type theory. Henkin proved that Church's type theory is...
3,212,635,538,352
arxiv
\section{Introduction} The use of 8-20MHz radio noise, measured by short-wave radars for the diagnosis of the lower part of the ionosphere, is an intensively developed method \cite{BERNGARDT_2018,Bland_2018,Bland_2019,Berngadt_2019,Chakraborty_2019}. The physical processes that cause this effect \cite{Berngadt_2019} a...
3,212,635,538,353
arxiv
\section{Introduction} A nontrivial group is called left-orderable if there exists a strict total order on the set of group elements which is invariant under left multiplication. We will say that a closed 3-manifold is orderable when its fundamental group is left-orderable. The reason why we care about left-orderabili...
3,212,635,538,354
arxiv
\section{Introduction} One of the major open problems in theoretical physics is how to construct a consistent theory of quantum gravity. This long-standing issue has been approached in various different ways. Up to now it is not clear which of those approaches, ranging as far as from non-perturbative canonical quantu...
3,212,635,538,355
arxiv
\section{Introduction} The central parsec of the Milky Way (MW) is a very special region of our Galaxy. It not only hosts the central supermassive black hole, associated with Sgr A*, with well determined mass \citep{ghe08, gil09}, but also contains a significant number of early-type stars, including some in the Wolf...
3,212,635,538,356
arxiv
\section{Diophantine conditions on the weights} \label{sec:experiments} Next, we comment on some number theoretic questions that show up when comparing Theorems \ref{thrm:Laurent} and \ref{thrm:GFinLaurent}. Obviously, in order for the symplectic quotient of the circle action associated to the weight vector $A=(a_1,\d...
3,212,635,538,357
arxiv
\section{Introduction} Understanding the emergence of spacetime is a profound question in the holographic description of quantum gravity. The seminal work of Ryu-Takayanagi (RT)~\cite{Ryu:2006bv} and Hubeny-Rangamani-Takayanagi (HRT)~\cite{Hubeny:2007xt} showed that entanglement entropy in conformal field theories is ...
3,212,635,538,358
arxiv
\section{Introduction} The present experiments on neutrino oscillations confirms that there is mixing between different flavours of neutrinos ($\nu_e$, $\nu_{\mu}$, $\nu_{\tau}$). For mixing of three active neutrinos there could be $CP$ violating phase in the mixing matrix. This could be probed in future neutrino osci...
3,212,635,538,359
arxiv
\section{Introduction} \input{sections/1.introduction.tex} \section{Related Work} \input{sections/2.relatedwork.tex} \section{System Design} \input{sections/3.design.tex} \section{Evaluation and Results} \input{sections/4.experiments.tex} \input{sections/5.evaluation.tex} \section{Discussion} \input{sections/6.dis...
3,212,635,538,360
arxiv
\section{Detecting Binaries with Pulse Timings} \label{intro} Binary star systems are significant in astronomy because their orbits often permit the calculations of important astrophysical parameters including mass, radius, and density. Binarity plays an apparently crucial role in the story of the hot subdwarf B (sdB...
3,212,635,538,361
arxiv
\section{Introduction} In~\cite{baker-norine}, Baker and Norine introduced the terminology of divisors and linear equivalence on finite graphs in analogy with the theory of algebraic curves. In this paper, we develop a higher-dimensional generalization of this theory on what we call tropical complexes. A tropical comp...
3,212,635,538,362
arxiv
\section{Introduction} \noindent Mathematical physicist have devoted a great deal of study to the theory of harmonic mappings between Riemannian manifolds, \cite{hhhh,s1, D1}. Let $\psi:(M,g)\longrightarrow (N,h)$ be a smooth map from a compact Riemannian manifold $(M,g)$ to an arbitrary Riemannian manifold $(N,h)$...
3,212,635,538,363
arxiv
\section{Introduction}\label{introduction} Decomposition by \cmss (into subgraphs called \textit{atoms}) was introduced by Tarjan \cite{Tarjan85} in 1985 as a useful hole- and antihole-preserving decomposition. It turns out that this decomposition is unique when clique \textit{minimal} separators are used \cite...
3,212,635,538,364
arxiv
\section{Introduction} \label{sec:intro} The omnipresence of protostellar disks (PSDs) \citep{hartmann1998} provides birth sites and incubators for emergence of planets \citep{cameron1978, hayashi1985, lin1985, ida2004ApJ}. The temperature distribution in these disks inferred from their observed spectral energy distr...
3,212,635,538,365
arxiv
\section{Introduction} Random graphs are mathematical models which have applications in a wide spectrum of domains. \myER{} graph $G(n,p)$ is one of the oldest and most-studied models for networks \cite{newmanrandom}, constructed by adding edges between all pairs of $n$ vertices with probability $p$ independently. It...
3,212,635,538,366
arxiv
\section{Introduction} As it is well-known, thermodynamical functions and some formulas of the classical thermodynamics can be deduced from Gibbs canonical or grand canonical ensemble. However, all thermodynamics, even the heat exchange, has deeply dynamical nature and demands extra dynamics (this is even more true fo...
3,212,635,538,367
arxiv
\section{Introduction} Energetic ions accelerated in corotating interaction regions (CIRs) have elemental abundances very close to the fast solar wind composition, except for the overabundance of $^{4}$He, Ne and C \cite{lab1}. The overabundance of $^{3}$He has been recently reported by Mason \etal \cite{lab2}, sugges...
3,212,635,538,368
arxiv
\section{Introduction} In this paper, permutations are of the letters ${1,2,\dots,n}$ (for various $n$) and a \emph{pattern} in a permutation $\pi$ is a subsequence in $\pi$, the relative sizes of whose elements come in some prescribed order. For example, a $123$-pattern is simply an increasing subsequence of length ...
3,212,635,538,369
arxiv
\section{Introduction} \label{sec:intro} Point estimates in parametric models are widely used in subsequent analyses, in particular for inference based on asymptotic theory or in simulation methods like the bootstrap. They are also used to compute the sample sizes in planning experiments, prediction errors in model a...
3,212,635,538,370
arxiv
\section{Introduction} Recently, there was a revival of interest in the $N=2$ vector-tensor (VT) multiplet \cite{Kelly}, mainly due to the fact that it describes the axion/dilaton complex in heterotic $N=2$ four-dimensional supersymmetric string vacua \cite{WKLL}. The VT multiplet is a variant representation of the $N=...
3,212,635,538,371
arxiv
\section{Preliminaries\label{prelim.}} The main goal of this paper is to relate the moduli space of analytically equivalent germs of quasi-homogeneous functions with their bi-Lipschitz classes. In order to turn our statements more precise, and to give appropriate answers, we need to introduce some terminology. ...
3,212,635,538,372
arxiv
\section{Introduction} Let $\mathbb{F}_q$ be a finite field with $q$ elements. For a given trascendental element $x$ over $\mathbb{F}_q$, the field of fractions of the ring $\mathbb{F}_q[x]$ is denoted as $\mathbb{F}_q(x)$ and it is called a rational function field over $\mathbb{F}_q$. An (algebraic) function field $F$...
3,212,635,538,373
arxiv
\section{Introduction}\label{sec:intro} In~\cite{A:S}, we studied the action of the permanent on $GL_2({\mathbb{Z}}_n)$ and counted the number of invertible matrices which have permanent congruent to $x \pmod{n}.$ Let $$G_{3}(n,x) = \{M \in GL_3({\mathbb{Z}}_n) \mid perm(M) \equiv x \pmod{n} \}.$$ Let $g_3(n,x)$ denote...
3,212,635,538,374
arxiv
\section{Introduction} In the Standard Model of electroweak interactions~\cite{SM}, the quark mass eigenstates are related to the weak eigenstates via the unitary $3\times3$ Cabibbo-Kobayashi-Maskawa (CKM) Matrix $V_{\rm CKM}$~\cite{ckm}. The nine elements in this matrix, $V_{ij}$, where $i={\rm u,c,t}$ and $j={\rm d,s...
3,212,635,538,375
arxiv
\section{Introduction} There has been recently a great deal of interest in simulating the real-time dynamics of quantum systems, open or closed, prepared in a nonequilibrium state \cite{Rev}. These investigations have been spurred by recent experimental breakthroughs in the ability to watch out-of-equilibrium dynamic...
3,212,635,538,376
arxiv
\section{Introduction} One of the main mysteries of the quasar phenomenon is the associated powerful outflows that come in a variety of forms. These outflows can be manifest as extremely energetic relativistic jets $> 100$~kpc in extent or massive broad absorption line (BAL) winds. Furthermore, the existence of ...
3,212,635,538,377
arxiv
\section{Introduction} Memory for quantum states of light is a necessary component for any future quantum optical computer \cite{Simon10}. In order to extend the storage procedure to squeezed states , we need squeezed light that is resonant to the atomic medium we are using for storage, namely $^{87}$Rb or $^{85}...
3,212,635,538,378
arxiv
\section{Introduction} The Sloan Digital Sky Survey has proved a fruitful database for uncovering extremely low surface brightness satellites of the Milky Way (MW). Spectroscopic studies have confirmed ten recently discovered satellites to be the least luminous ($-6.5 \lesssim M_V \lesssim -2$, not including Canes Ve...
3,212,635,538,379
arxiv
\section{Introduction} The non-Abelian local gauge invariance, which was formulated by Yang and Mills in \cite{yang}, requires that all interactions must be invariant under independent rotations of internal charges at all space-time points. The gauge principle allows very little arbitrariness: the interaction of matte...
3,212,635,538,380
arxiv
\section{Introduction} \label{sec1} Shape-memory alloys (SMAs) exhibit the unique effect of ``remembering'' their original shape after deformation and heating [``shape memory effect'' (SME)], and moreover, they show ``super-'' or ``pseudoelastic'' behavior (SE), i.e. recoverable strains of up to 8\%.\cite{buchots:98} T...
3,212,635,538,381
arxiv
\section{Introduction} A little over a decade after their discovery \citep{Lorimer:2007qn}, \acrfullpl{frb} remain an enigmatic class of radio transients. \acrshortpl{frb} are characterized by one or multiple very bright ($\sim\mathrm{Jy}$) and very brief ($\sim\mathrm{ms}$) bursts of radio photons, and have been detec...
3,212,635,538,382
arxiv
\section{Conclusion} \noindent In this paper, we have begun to explore highly efficient and accurate CNN architectures with binary weights and activations. Specifically, we have proposed to directly decompose the full-precision network into multiple groups and each group is approximated using a set of binary bases whi...
3,212,635,538,383
arxiv
\section{Introduction} In this paper, we discuss the blow-up solutions for the following semilinear heat equations \begin{equation}\label{equation} \begin{cases} u_{t}\left(x,t\right)=\Delta u\left(x,t\right)+f\left(u\left(x,t\right)\right), & \left(x,t\right)\in \Omega\times\left(0,+\infty\right),\\ u\left(x,t...
3,212,635,538,384
arxiv
\section{Introduction} Bright structures can often be observed inside the umbra, either as umbral dots or light bridges (LBs). While the term ``light bridge" is often used to denote a bright lane separating a sunspot's umbra into two parts, several classifications were proposed, which also included ``penumbral'' or ...
3,212,635,538,385
arxiv
\section{Introduction} Tungsten (W) will be used for plasma facing components in ITER, because this material fulfils essential requirements such as low erosion rate, low tritium retention and good thermal properties \cite{W}. The effects of the W wall on tokamak plasma performances have been intensively studied d...
3,212,635,538,386
arxiv
\section{\textbf{Properties of the prime detecting function}} In our previous paper \cite{RAbrarov} we introduced the prime detecting function (PDF) with outcomes 1 for primes and 0 for composite numbers. In the general form the PDF looks like \begin{equation} \label{Eq_1} \begin{aligned} p_{}^\delta \left( n \righ...
3,212,635,538,387
arxiv
\section{Introduction} The far-from-equilibrium behavior of isolated quantum systems and in particular their relaxation towards equilibrium still evades a unifying description. It has been conjectured that these systems generically relax to a state of local thermal equilibrium according to the eigenstate thermalizatio...
3,212,635,538,388
arxiv
\section{Introduction}\label{sec:intro} Color is an integral and omnipresent element of many statistical graphics and data visualizations. Therefore, colors should be carefully chosen to support all viewers in accessing the information displayed \citep{color:Tufte:1990, color:Brewer:1999, color:Ware:2004, color:Wilkin...
3,212,635,538,389
arxiv
\section{Introduction} The mapping class group ${\rm Mod}(\Sigma_g)$ of a closed connected orientable surface $\Sigma_g$ of genus $g$ is the group of orientation--preserving diffeomorphisms of $\Sigma_g\to \Sigma_g$ up to isotopy. We are interested in generating ${\rm Mod}(\Sigma_g)$ by three involutions, elements o...
3,212,635,538,390
arxiv
\section{Introduction} High harmonic generation (HHG) is a unique fingerprint of ultrafast electron dynamics in solids\cite{Chin2001,Ghimire2011,Schubert2014, Hohenleutner2015,Vampa2015,Luu2015,Garg2016,Yoshikawa2017,*Hafez2018,Schmid2021,You2017,Sivis2017,*Garg2018,Vampa2015b,Tancogne2017,Yue2022,Park2022,Luu2018,*Li...
3,212,635,538,391
arxiv
\section{Introduction} \subsection{Notation} We let ${\mathbb N}_0:={\mathbb N}\cup\{0\}$. Throughout our paper, we let $k$ be an algebraically closed field of characteristic $0$. Also, unless otherwise noted, all our subvarieties are assumed to be closed. In general, for a set $S$ contained in an algebraic variety...
3,212,635,538,392
arxiv
\section{Introduction} For undefined notions and terminology, we refer to Oxley \cite{oxley2006matroid}. A matroid $M$ is \textit{quotient} of a matroid $N$ if there is a matroid $Q$ such that, for some $X\subset E(Q)$, $N=Q\backslash X$ and $M=Q/X$. If $|X|=1$, then $M$ is \textit{an elementary quotient} of $N$. A m...
3,212,635,538,393
arxiv
\section{Introduction} The relay channel was introduced by van der Meulen in 1971 \cite{Meulen:71}. In this setup, a single transmitter with channel input $X^n$ communicates with a single receiver with channel output $Y^n$, where the superscript $n$ denotes the length of a vector. In addition, an external transceiver, ...
3,212,635,538,394
arxiv
\section{The HBT puzzle\label{Int}} One of the most unexpected, and as yet unexplained, experimental results found at the Relativistic Heavy Ion Collider (RHIC) concerns the description of particle interferometry observables \cite{hbtreview}. It was originally expected that the deconfined matter would be a highly vis...
3,212,635,538,395
arxiv
\section{Introduction} \label{} A vital role of topology in quantum transport phenomena in solids has been recognized as a driving force of a {\it dissipationless} current. The Berry curvature~\cite{Berry} in momentum and real spaces induces the velocity of Bloch electrons~\cite{Luttinger1954}, resu...
3,212,635,538,396
arxiv
\chapter{Freestanding Silicene} \label{Freestanding} \abstract*{Each chapter should be preceded by an abstract (10--15 lines long) that summarizes the content.} Obtaining a freestanding 2D graphene flake is relatively easy because it has a naturally occurring 3D layered parent material, graphite, made up of graphen...
3,212,635,538,397
arxiv
\section{Introduction} General relativity is the simplest gravity theory that incorporates Einstein's guiding principles, has a consistent mathematical structure, and, with the inclusion of dark matter and a cosmological constant, successfully accounts for all experimental tests \cite{Will}. However, it does not seem ...
3,212,635,538,398
arxiv
\section{Model of the hyperaccreting disk} The model computations are based on the 2 dimensional, general relativistic MHD code HARM2D, described in Ref.~\refcite{gammie}. The nuclear equation of state is discussed in detail in Ref.~\refcite{janiuk}. The goal of our preliminary test calculations is to investigate th...
3,212,635,538,399
arxiv
\section{Introduction} \label{sect:intro} Knots and hotspots, which have been detected in radio, optical, and X-ray bands (e.g., Harris \& Krawczynski 2006), are substructures of kpc--Mpc jets in radio-loud active galactic nuclei (AGNs). Their emission in the radio-optical band usually can be fitted with the...
3,212,635,538,400
arxiv
\section{Introduction} Relativistic plasmas with nonthermal power-law energy distributions are ubiquitous in astrophysical systems such as \ac{PWN} \cite{Meyer2010, Buehler2014}, jets from \ac{AGN} \cite{Begelman1984, Hartman1992} and their radio lobes \cite{Hardcastle2009}, and black-hole accretion-disk coronae \cite{...
3,212,635,538,401
arxiv
\section{Analytical model of dynamical heating} \label{app:ana_model} Let us suppose that a substructure (e.g., a satellite galaxy or a giant baryonic clump) is orbiting in a larger spherical host following the NFW density profile (\autoref{eq:nfw_rho}). Several physical mechanisms transfer the orbital energy and angu...
3,212,635,538,402
arxiv
\section{Introduction} Traditional automatic speech recognition (ASR) systems employ a modular design, with different modules for acoustic modeling, pronunciation lexicon, and language modeling, which are trained separately. In contrast, end-to-end (E2E) models are trained to convert acoustic features to text transc...
3,212,635,538,403
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}% ...
3,212,635,538,404
arxiv
\section*{Introduction} In 1916 Ramanujan \cite{R} studied the Euler product associated to Ramanujan's $\tau$-function defined as $$ \Delta(z)=e^{2\pi i z}\prod_{n=1}^\infty(1-e^{2\pi inz})^{24} =\sum_{n=1}^\infty\tau(n) e^{2\pi inz} $$ for $\Im(z)>0$. This $\Delta(z)$ is a Hecke-eigen cusp form of weight 12 for ...
3,212,635,538,405
arxiv
\chapter{Introduction} \label{chap:Introduction} The Set Cover Problem (SCP) and Set Packing Problem (SPP) are standard NP-hard combinatorial optimization problems. Their decision problem versions are shown to be NP-Complete in \cite{karp}. Because we cannot expect to solve all instances of these problems exac...