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1,108,101,565,115
arxiv
\section{Introduction} The generation of gauge configurations with two dynamical Wilson fermions, started by the {\small\sf SESAM }-collaboration in spring '95 and expanded by the formation of the {{\small\sf T}{$\chi$}{\small\sf L}} -collaboration in '96, is now well under way. The primary goal, the generation of a se...
1,108,101,565,116
arxiv
\section{Introduction} \input{intro} \section{Basic properties of solutions} \input{basic} \section{Characterisation of regular evolutions} \input{regular} \section*{Acknowledgements} The author wishes to express his gratitude towards Piotr Mucha for suggesting the problem, encouragement and helpf...
1,108,101,565,117
arxiv
\section{Introduction} Learning visual features effectively has a profound influence on the recognition performance~\cite{boureau-cvpr10-learning,shih-cvpr17-deep}. Upon handling large-scale natural images, self-supervised visual representation learning benefits downstream recognition tasks via pretext feature training...
1,108,101,565,118
arxiv
\section{Introduction} The past few years have seen an enormous increase in the observational data collected for galaxies that had formed in the first billion years of the Universe thanks to a combination of state of the art observatories (most notably the Hubble Space Telescope; {\it HST}) as well as refined selection...
1,108,101,565,119
arxiv
\section{Introduction} \label{sect:introduction} Today, after decades of intensive research, cancer is still one of the most deadly diseases worldwide, killing millions of people every year. Cancer is mainly caused by somatic mutations that affect critical genes and pathways. These mutations are mostly triggered by en...
1,108,101,565,120
arxiv
\section{Introduction} \label{intro} In this paper, we consider a box-constrained global optimization problem of the form: \begin{equation} \label{eq:opt-problem} \begin{aligned} & \min_{\mathbf{x}\in D} && f(\mathbf{x}) \end{aligned} \end{equation} where $f:\mathbb{R}^n \rightarrow \mathbb{R}$ is a Lipschitz-con...
1,108,101,565,121
arxiv
\section{Introduction} Mobile devices connect to the Internet via one or more telecommunications operators. Users usually have expectations about the services they receive from these operators \cite{sung,mitraicme2011}. Based on their experience about the services they receive, they either choose to stay with the curr...
1,108,101,565,122
arxiv
\section{Introduction} The Optimal Power Flow (OPF) problem is a routine at the core of important tools for power system operations (\cite{frank2012optimal}). The OPF problem seeks to determine the production levels of generating units that satisfy the power (net) demand at minimum cost while complying with some techn...
1,108,101,565,123
arxiv
\section{Introduction} Different methods and data sets are being used to reconstruct the dark energy (DE) equation of state $w=p_{\rm de}/\rho_{\rm de}$ and thereby also to test the concordance model (which has $w=-1$). The results vary significantly according to the methods and data sets used, and the error bars and ...
1,108,101,565,124
arxiv
\section{Introduction} \label{sec:intro} \input{tex/intro} \section{Preliminaries and Related Work} \label{sec:related} \input{tex/related} \section{Approach} \label{sec:approach} \input{tex/approach} \section{Experiments and Results} \label{sec:exp} \input{tex/exp} \section{Conclusion} \label{sec:conc} \input{tex...
1,108,101,565,125
arxiv
\section{Introduction} The ability to readout binary quantum observables such as quantum bits (qubits) is an important {\it desideratum} for quantum information processing~\cite{divincenzo2001}. In particular, it is often highly desirable that the readout have high fidelity and be quantum nondemolition (QND). For inst...
1,108,101,565,126
arxiv
\section{Introduction} It is well-known that human and animals can learn new tasks without forgetting old ones. Nevertheless, conventional retraining of an existing Deep Neural Network (DNN) model for new tasks could easily result in the forgetting of old knowledge upon earlier tasks and thus degrades the performance. ...
1,108,101,565,127
arxiv
\section{Introduction} We report a study of two-dimensional, collinear, spin-S antiferromagnets (AFMs) and ferromagnets (FMs) aimed at better understanding the magnetic behavior of both, and in particular the role of quantum versus classical fluctuations in these systems. A number of quasi-$2D$ experimental systems, i...
1,108,101,565,128
arxiv
\section{Introduction} The hadron and lepton phase of early-universe cosmology, spanning a temperature range between about 175 MeV and 1 MeV (between the quark-gluon plasma and cosmonucleosynthesis), has received only moderate attention in the literature~\cite{Rafelski:2013yka}, in spite of it being very rich in terms ...
1,108,101,565,129
arxiv
\section{Introduction}\label{sec:intro} Let $\mathbb{A}$ be a linear, homogeneous differential operator with constant coefficients on $\mathbb{R}^n$ from $V$ to $W$, i.e., \begin{align}\label{eq:A} \mathbb{A} u=\sum_{|\alpha|=k} A_\alpha\partial^\alpha u,\qquad u\colon\mathbb{R}^{n}\to V, \end{align} where $\mathbb{A}...
1,108,101,565,130
arxiv
\section{Convergence Analysis} \label{sec:analysis} In this section, we present a convergence analysis of BCGD and establish the optimal learning rate. The optimality is defined to be the learning rate which results in the fastest decrease in the loss at the current parameters. The standard $L_2$-loss will be mainly di...
1,108,101,565,131
arxiv
\section{Introduction and overview} \label{sec: intro} Let $\dot{\mathfrak{g}}$ be any symmetrizable Kac-Moody Lie algebra. Pick a collection $z_1,\dots,z_N$ of distinct points in the complex plane. The quadratic Hamiltonians of the quantum \emph{Gaudin model} for these data are the elements \begin{equation} \label{q...
1,108,101,565,132
arxiv
\section{Introduction} The frictional force experienced by a quantized flux line moving in a conventional superconductor arises primarily from induced vortex electric fields coupling to charge excitations \emph{within} the vortex core. This was first captured by Bardeen and Stephen,\cite{Bardeen:1965p151} who treated...
1,108,101,565,133
arxiv
\section{Introduction} \label{intro} This paper discusses an algebraic combinatorics problem that arises in the theory of cluster algebras but whose study is also spurred on by geometric models appearing in string theory. The engineering of four-dimensional quantum field theories in string theory has developed a great ...
1,108,101,565,134
arxiv
\section{Introduction} Currently, around $50 \%$ of all patients with localized malignancies undergo treatment including ionizing radiation, mostly in combination with tumor resection and/or chemotherapy \cite{Durante2,ptcog}. Conventional therapy with high energy photons is by far the most common approach, but the ...
1,108,101,565,135
arxiv
1,108,101,565,136
arxiv
\section{Introduction} \begin{figure*}[t] \centering \includegraphics[width=\textwidth]{figmay_newhi.eps} \caption{Distribution of the selected fields, numbered as in Table \ref{tabfields}. The distribution is superimposed on the HI 21 cm brightness temperature map (\cite{kal05}) in the radial velocity interval -100 k...
1,108,101,565,137
arxiv
\section{Introduction} An important aspect of ``algebraic'' model theory is to uncover the algebraic consequences for structures such as groups, rings, fields, of abstract model-theoretic properties such as categoricity, stability, simplicity, and so on. Among the first results in the area was Macintyre's theorem \ci...
1,108,101,565,138
arxiv
\section{Introduction}\label{introduction} In the past three decades non-Gaussian time series have attracted a lot of interest, see e.g. Cox (1981), Kaufmann (1987), Kitagawa (1987), Shephard and Pitt (1997), and Durbin and Koopman (2000), among others. In the context of regression modelling, generalized linear models...
1,108,101,565,139
arxiv
\section{Introduction} The mean curvature flow for hypersurfaces in Euclidean space has been studied systematically since the late 1970s (to name but a few, see \cite{temam}, \cite{brakke}, \cite{huisken}, \cite{gage-hamilton}, \cite{grayson}, \cite{hamilton95}, \cite{white}, \cite{cm-mcf}, \cite{cm12}, and for early w...
1,108,101,565,140
arxiv
\section{Introduction} Throughout the paper, let $G$ be an additively written finite cyclic group of order $|G|=n$. By a sequence over $G$ we mean a finite sequence of terms from $G$ which is unordered and repetition of terms is allowed. We view sequences over $G$ as elements of the free abelian monoid $\mathcal{F}(G)...
1,108,101,565,141
arxiv
\section{Introduction} \label{intro} It is usually assumed that the $c/{\bar c} \to D$ fragmentation is responible for production of charmed mesons. In leading order $g g \to c \bar c$ is dominant partonic subprocess. The contribution of $q {\bar q} \to c {\bar c}$ is usually much smaller. The leading-order productio...
1,108,101,565,142
arxiv
\section{Introduction} Vortices have been a source of fascination since the works of Empedocles, Aristotle and Descartes, who tried to explain the formation of the Earth, its gravity and the dynamics of the solar system as due to primordial cosmic vortices. Many interesting problems related to vortices are open in dif...
1,108,101,565,143
arxiv
\section{Introduction} OJ287 (z=0.306) is an optically violent variable BL Lacertae object (BLO) and also one of the bright Fermi $\gamma$-ray sources (Ackermann et al. \cite{Ac11}, Hartman et al. \cite{Har99}, Agudo et al. \cite{Ag12}). Its strong variability has been observed in all the wavebands f...
1,108,101,565,144
arxiv
\section{Introduction} {\bf Introduction: } Quantum information cannot propagate faster than light. However, in many laboratory settings, the speed of light is effectively infinite, since the natural dynamical timescales are long compared to the light-crossing time. Hence, these systems can sometimes be modeled as havi...
1,108,101,565,145
arxiv
\section{\@startsection {section}{1}{\z@}% {-3.5ex \@plus -1ex \@minus -.2ex}% {2.3ex \@plus.2ex}% {\normalfont\large\bfseries}} \renewcommand\subsection{\@startsection{subsection}{2}{\z@}% ...
1,108,101,565,146
arxiv
\section{Introduction} \label{sec:intro} In conversational speech, individual utterances may reference context from previous utterances. If certain topics or words have been mentioned in the past, related words are likely to be used. In automatic speech recognition, language models are responsible for capturing the pro...
1,108,101,565,147
arxiv
\section*{Acknowledgments} We thank the anonymous reviewers for their constructive feedback and comments. This work is supported by National Nature Science Foundation of China (62072188, 61672241), Natural Science Foundation of Guangdong Province (2016A030308013), Science and Technology Program of Guangdong Province (2...
1,108,101,565,148
arxiv
\section{Introduction}\label{section:Introduction} The logic and database theory literature has considered various kinds of representations of finite labeled trees as logical structures. In particular, trees are either ranked or unranked (i.e., the number of children of each node is bounded by a constant, or unbounded...
1,108,101,565,149
arxiv
\section{Introduction} In our perspective, a renewal equation (RE) is a delay equation, i.e., a rule for extending a function of time towards the future on the basis of the (assumed to be) known history. The difference between delay differential equations (DDE) and RE is that, for the former, the rule specifies the de...
1,108,101,565,150
arxiv
\section{Introduction} The chiral coupled channel approach, implementing exact unitarity in coupled channels and using input from chiral Lagrangians, has allowed to make predictions beyond the restricted range of energies of chiral perturbation theory and is having a great impact in the study of meson baryon interact...
1,108,101,565,151
arxiv
\section{Introduction} In science and engineering, differential eigenvalue problems occur abundantly. Differential eigenvalue problems can arise when partial differential equations are solved using the method of separation of variables. Consequently, they also play an important role in Sturm-Liouville (SL) differentia...
1,108,101,565,152
arxiv
\section{Introduction.} \label{sec:1} Morse functions on spheres with exactly two singular points are central objects in Reeb's theorem: a closed manifold admits such a function if and only if it is homeomorphic to a $k$-dimensional sphere for $k \neq 4$ or diffeomorphic to the $4$-dimensional unit sphere. For gener...
1,108,101,565,153
arxiv
\section{INTRODUCTION} In last two decades, the robots have gained sufficient social trust and are extensively participating with humans in performing certain tasks that require cognitive abilities of humans to be combined with precision and strength of robots \cite{c1}\cite{c2}. However, such a social trust on robots...
1,108,101,565,154
arxiv
\section{Introduction} A \textbf{tournament} $ T=(V(T), A(T)) $ is a directed graph obtained by orienting the edge set of a (possibly infinite) complete undirected graph. A directed cycle is called a \textbf{dicycle} for short. We use some basic set theoretic conventions. We consider functions $ f $ as sets of order...
1,108,101,565,155
arxiv
\section{Introduction} Gravitational lensing is the physical phenomena in which light is deflected by gravitational potentials along the line of sight, which results in the distortion and magnification of distant galaxy images. This phenomena can be split into two regimes, strong and weak gravitational lensing. For str...
1,108,101,565,156
arxiv
\section{Introduction} Cross-view image synthesis aims to translate images between two distinct views, such as synthesizing ground images from aerial images, and vice versa. This problem has aroused great interest in the computer vision and virtual reality communities, and it has been widely studied in recent years~\...
1,108,101,565,157
arxiv
\section{Introduction} In this paper we are concerned with certain avoidance properties of finite and infinite words. Recall that a word $x$ is said to be a {\it factor} of a word $w$ if there exist words $y,z$ such that $w = yxz$. For example, the word {\tt act} is a factor of the word {\tt factor}. Another term ...
1,108,101,565,158
arxiv
\section{INTRODUCTION } The principle underlying most of the slow-light experiments is to exploit the steep normal dispersion of the refractive index associated with a pronounced peak in the transmission of the medium and the correlative reduction of the group velocity. The situation where the resulting time-delay of ...
1,108,101,565,159
arxiv
\section{I. Non-reciprocal topological modes in 1D} In the main text, we have made references to topological modes in non-reciprocal systems, where a competition exists between topological localization and the skin effect. To illustrate this, and also to understand the 4-band model in the main text more deeply, consid...
1,108,101,565,160
arxiv
\section{Introduction} Recent astrophysical and cosmological observation give precise determination on the relic density of cold dark matter in the range~\cite{Spergel:2006hy} $\abundcdm =0.104 \pm 0.009 $. The well motivated candidate for dark matter (DM) is weakly interacting massive particle (WIMP), especially the ...
1,108,101,565,161
arxiv
\section{Algorithm} \label{sec:app_algo} ${\textsc{RepDIB}}$ can be integrated on any existing self supervised learning objectives for representations, to reap benefits of the compositional structure for either exploration during pre-training, or for downstream tasks. In this work, we mostly show benefits of ${\textsc...
1,108,101,565,162
arxiv
\section{Introduction} \label{sec:one} \begin{figure}[b] \bigskip \begin{center} \includegraphics[width = 60 mm]{twophoton.pdf} \caption{The box diagram for the $\mathcal O(\alpha^5m^4)$ corrections. The graph in which the photons cross is also included. } \label{fig:lambbox} \end{center} \end{figure} The proton radi...
1,108,101,565,163
arxiv
\section{Introduction} A classic problem of viscous friction acting on an object receives growing attention in various contexts. In microfluidics \cite{SquiresQuake2005}, promising for applications in chemistry, biology, medicine and pharmaceutical industry, viscous friction manifests as important in various geometrie...
1,108,101,565,164
arxiv
\section{Introduction} The geometric phases are usually analyzed in the framework of first quantization by using the adiabatic approximation~\cite{berry}-\cite{hasegawa2}, though a non-adiabatic treatment has been considered in, for example, \cite{aharonov} and the (non-adiabatic) correction to the geometric phases...
1,108,101,565,165
arxiv
\subsubsection{Introduction} \paragraph{ The wreath product and $\mathfrak{S}_\infty$-central states.} Let $\mathbb{N}$ be the set of the natural numbers. By definition, a bijection $s: \mathbb{N}\to \mathbb{N}$ is called {\it finite} if the set $\left\{ i\in\mathbb{N}|s(i) \neq i\right\}$ is finite. Define a grou...
1,108,101,565,166
arxiv
\section{Introduction and results} \subsection{Introduction.} The correlation length plays a fundamental role in our understanding of the properties of a statistical mechanical system. It measures the typical distance over which the microscopic degrees of freedom are strongly correlated. The usual way of defining it...
1,108,101,565,167
arxiv
\section{INTRODUCTION} \subsection{Motivation} Nickel-based Superalloys are found in a wide range of applications. The most prominent use is in the manufacture of gas turbines for use in commercial and military aircraft, power generation, and marine propulsion.A jet engine experiences temperatures ranging from 300K to...
1,108,101,565,168
arxiv
\section*{ACKNOWLEDGMENT} \end{document} \section{INTRODUCTION} With the empowered ability of artificial intelligence, autonomous driving has become one of the promising directions for both research and application. Due to the safety concern and the high cost of real vehicle testing, autopilot simulation is widely...
1,108,101,565,169
arxiv
\section{Introduction} Hadronic atoms provide valuable information about in-medium modification of hadron properties, on hadron-nucleon interaction, and also on properties of nuclei not easily accessible by other probes, as the distribution density of neutrons. This field has been the subject of thorough study, both t...
1,108,101,565,170
arxiv
\section{Introduction} At high energy and large impact parameter, gravitational scattering is dominated by the exchange of the highest-spin massless states in the theory~\cite{tHooft:1987vrq, Amati:1987wq,Amati:1987uf,Muzinich:1987in,Sundborg:1988tb}. The focus of this work is on standard gravitational field theories ...
1,108,101,565,171
arxiv
\section{Introduction}\label{sec:introduction} Our knowledge of solar magnetism relies heavily on our ability to detect and interpret the polarization signatures of magnetic fields in solar spectral lines. Consequently, new Stokes polarimeters are designed to have the capability to observe the solar atmosphere in a var...
1,108,101,565,172
arxiv
\section{Introduction} In the pioneering works by A.A.~Andronov and E.A.~Leontovich \cite{AL1,AL2} all main bifurcations of stable periodic orbits of dynamical systems in a plane had been studied: the emergence of a limit cycle from a weak focus, the saddle-node bifurcation through a merger of a stable limit cycle wit...
1,108,101,565,173
arxiv
\section{Introduction} \label{ph_sec_introduction} \input{ph_sec_introduction} \section{Dantzig-Wolfe decomposition} \label{ph_sec_dantzig_wolfe_decomposition} \input{ph_sec_dantzig_wolfe_decomposition} \section{Primal heuristics} \label{ph_sec_primal_heuristics} \input{ph_sec_primal_heuristics} \section{Numeric...
1,108,101,565,174
arxiv
\section{The Interstellar Medium} The Interstellar Medium (ISM) constitutes the reservoir of matter, that was and still is turned into stars and planets and gave also rise to the existence of our own solar system and our world. If its study wasn't already interesting for just that reason, there are many complex proce...
1,108,101,565,175
arxiv
\section{INTRODUCTION} Hot channel (HC) refers to the high temperature structure that is revealed first by coronal images of AIA (Atmospheric Imaging Assembly) 131 \AA \ passband (sensitive to temperature of $\sim$ 10 MK), while the structure is invisible from cooler temperature images, e.g., images of the AIA 171...
1,108,101,565,176
arxiv
\section{Introduction} We consider one dimensional solutions and higher dimensional radial solutions of the following Klein-Gordon equation: \begin{equation}\label{equrn} \left\{ \begin{array}{l} \partial_t^2 U =\Delta U+|U|^{p-1}U-U,\\ U(0)=U_0\mbox{ and }U_t(0)=U_1, \end{array} \right. \end{equation} whe...
1,108,101,565,177
arxiv
\section{Further Data from Numerical Simulations} \label{appn::data} Here we provide the average population size and average loss we obtained from every run of our numerical simulations.\footnote{every run was for 2000 iterations}. \subsection{Reasonable Strategy} \begin{itemize} \item Discrete Setting:\\ $n=...
1,108,101,565,178
arxiv
\section{Introduction} \lettrine{R}{eference} Governors (RGs) \cite{garone2017reference} are add-on schemes to nominal closed-loop systems used to enforce pointwise-in-time state and control constraints. An RG acts as a safety supervisor for the reference commands (set-points) given to the closed-loop system by a huma...
1,108,101,565,179
arxiv
\section{Introduction} Given a positive integer $r$ and a graph $G$, the \emph{$r$-neighbour bootstrap process} begins with an initial set of ``infected'' vertices of $G$ and, at each step of the process, a vertex becomes infected if it has at least $r$ infected neighbours. More formally, if $A_0$ is the initial set o...
1,108,101,565,180
arxiv
\section{Introduction} A minimal surface is a surface that locally minimizes its area. The theory of minimal surfaces arises due to the work of Lagrange in $1762$ when he was trying to find the surface $f=f(x,y)$ having the least area but bounded by a given closed curve. He could not succeed in finding any solution o...
1,108,101,565,181
arxiv
\section{Introduction} In the companion paper~\cite{mass_function_paper} (referred to as Ref.~I) a model for the $q\bar q$ interaction was developed that uses the NJL mechanism to ensure that a pion bound state of zero mass exists whenever mass can be spontaneously generated through the self-interactions that dress a ...
1,108,101,565,182
arxiv
\section{Introduction} We consider the critical surface quasi-geostrophic (SQG) equation \begin{equation}\tag{SQG} \label{eq:SQG} \begin{cases} {\partial}_t\theta +\boldsymbol{u} \cdot \nabla \theta+\kappa\Lambda\theta=f\\ \boldsymbol{u} = {\mathcal R}^\perp \theta = \nabla^\perp \Lambda^{-1} \theta\\ \theta(0)=\theta...
1,108,101,565,183
arxiv
\section{Computation as maximization in information space} The early history of constraint processing is written in three MIT theses: Sutherland's, Waltz's, and Steele's \cite{sth63,wltz72,stl80}. Already in this small selection one can discern two radically different approaches. Sutherland and Steele use relaxation: ...
1,108,101,565,184
arxiv
\section{Introduction} Measurements of the cosmic microwave background (CMB) fluctuations by {\it WMAP}~\cite{Hinshaw:2012aka} and {\it Planck}~\cite{Ade:2013zuv} Collaborations opened a new era in high precision cosmology. These data are well described by the standard spatially-flat $\Lambda$CDM cosmology with a ...
1,108,101,565,185
arxiv
\section{Introduction} The original motivation of this paper comes from a partnership of the authors with Eurotunnel, the company operating the tunnel under the Channel. Eurotunnel is currently facing an increasing congestion due to the trucks waiting in the terminal before being loaded in the shuttles. A way to addre...
1,108,101,565,186
arxiv
\section*{Introduction} \input{sections/intro.tex} \section*{Related Work} \input{sections/related.tex} \section*{Methods} \subsection*{From electronic health records to medical diagnosis training data} \input{sections/ehr.tex} \label{sec:ehr} \subsection*{Models} \input{sections/methods.tex} \subsection*{Evaluation d...
1,108,101,565,187
arxiv
\section{Introduction \label{s:intro}} Subluminous B stars (sdBs) are core helium-burning stars with very thin hydrogen envelopes and masses around $0.5M_{\rm \odot}$ (Heber \cite{heber86}, see Heber \cite{heber09} for a review). A large fraction of the sdB stars ($40\,\%$ to $80\,\%$) are members of short period bin...
1,108,101,565,188
arxiv
\section{Introduction} The reconstruction of a quantum state in general is important to test potential quantum systems on their properties such as entanglement, superposition and coherence and on their applicability for emerging quantum technologies. Furthermore, massive and spatially extended quantum systems such as c...
1,108,101,565,189
arxiv
\section{Introduction} Mutually non-orthogonal quantum states are important in quantum key distribution (QKD) because such states cannot be completely distinguished from each other and hence they are intentionally used to transmit classical information while preventing eavesdropping. For qubits, the qubit trine repre...
1,108,101,565,190
arxiv
\section{Introduction} The presence of higher-order curvature terms in the Lagrangian from one side was inspired by string theories. In 1974 Scherk and Schwarz~\cite{sch-sch} showed that the Lagrangian of the Virasoro-Shapiro model~\cite{VSh1, VSh2} contains $R^2$ and $R_{\alpha\beta}R^{\alpha\beta}$ terms. Later a pr...
1,108,101,565,191
arxiv
\section{Introduction} Dynamic epistemic logic describes the way knowledge can change in multi-agent systems subject to informative actions taking place. For example, if Tim were to announce ``I like cats'', then everyone in the room would know the proposition {\it Tim likes cats} is true, and furthermore, eve...
1,108,101,565,192
arxiv
\section{Introduction} \indent The study of plasma flows for regulating the turbulence and anomalous transport has in recent years attracted strong interest~\cite{a15}. The regulation of drift wave turbulence by sheared flows is due to shearing of the turbulent eddies and thereby reducing the spatial scales of the eddi...
1,108,101,565,193
arxiv
\section{Introduction} The R\'enyi entropy of the probability density $\rho(\vec{r}), \vec{r} = (x_1 , \ldots , x_D),$ which characterizes the quantum state of a $D$-dimensional physical system is defined \cite{renyi1,renyi2} as \begin{equation} \label{eq:renentrop} R_{q}[\rho] = \frac{1}{1-q}\log W_{q}[\rho], \q...
1,108,101,565,194
arxiv
\section*{APPENDIX} \begin{small} \vspace{0.4cm} \center{ \renewcommand\arraystretch{0.6} \tabcolsep 0in \begin{table}[h] \caption{Coefficients of spin-flavor-color operators} \vspace{0.5cm} \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|} \hline \multicolumn{2}{|c|}{$~$} & & & & \multicolumn{2}{|c|}{$~$} & & & \\ \multico...
1,108,101,565,195
arxiv
\section{Introduction} {\bf Introduction}--Supersymmetry (SUSY) provides a natural solution to the gauge hierarchy problem in the Standard Model (SM). In the Supersymmetric SMs (SSMs) with $R$ parity, gauge coupling unification can be achieved, and the Lightest Supersymmetric Particle (LSP) is a dark matter candidate....
1,108,101,565,196
arxiv
\section{Introduction} \label{sec:introduction} \subsection{Motivation and results} \label{sec:motivation} Predictive scores are increasingly used to guide decisions. Banks use credit scores to set the terms of loans; judges use defendant risk scores to set bail; and online platforms score sellers, businesses, and jo...
1,108,101,565,197
arxiv
\section{Introduction} \label{intro} \setcounter{equation}{0} In its original format, the Ehrenfest classification scheme identifies the order of a phase transition as that of the lowest derivative of the Helmholtz free energy which displays a discontinuity there \cite{Eh33}. Typical transitions which fit to this s...
1,108,101,565,198
arxiv
\section{Systolic inequalities and LS category} A quarter century ago, M.~Gromov \cite{Gr1} initiated the modern period in systolic geometry by proving a curvature-free~$1$-systolic lower bound for the total volume of an essential Riemannian manifold~$M$ of dimension~$d$, i.e.~a~$d$-fold product of the systole is such...
1,108,101,565,199
arxiv
\setcounter{equation}{0*{Abstract} \else \begin{center} {\bf Abstract\vspace{-.5em}\vspace{0pt}} \end{center} \quotation \fi} \def\if@twocolumn\else\endquotation\fi{\if@twocolumn\else\endquotation\fi} \def
1,108,101,565,200
arxiv
\section{Introduction} The theory of rough paths~\cite{Lyons1998} has recently been extended to a multiparameter setting~\cite{Hairer2014Regularity,Gubinelli2012}. While \cite{Hairer2014Regularity} has a much wider range of applicability, both approaches allow to solve many interesting SPDEs that were well out of reac...
1,108,101,565,201
arxiv
\section{Introduction} \label{sec:introduction} Let $c(n,i)$ denote the number of permutations of $[n]=\{1,2,\ldots,n\}$ with $i$ cycles. The following equation is well known; for example see \cite{Bona,Stanley1997}: \begin{equation} \label{eq:2} \sum_{i=1}^n c(n,i) x^i = x(x+1) \cdots (x+n-1). \end{equation} Let ...
1,108,101,565,202
arxiv
\section{Introduction} \label{Intro} Frustrated antiferromagnets (AFs) attract significant attention now due to their rich phase diagrams and multiferroic properties of some of their phases with non-collinear magnetic ordering (see, e.g., Refs~\cite{nagaosa,Ehrenberg1997,Kimura2003,mni3,utesov2017}). Multiferroics of ...
1,108,101,565,203
arxiv
\section{Introduction} Recent technological advances have made pervasive wearable devices for human health~\cite{cheol2018wearable}, fitness~\cite{scalise2018wearables}, and activity~\cite{hegde2017automatic} monitoring possible. According to~\cite{dias2018wearable}, the wearable devices market is currently having a wo...
1,108,101,565,204
arxiv
\section{Conclusion} To the best of our knowledge, this is the first work towards a static analysis framework for Tezos smart contracts. \textsc{Tezla}\xspace positions itself as an intermediate representation obtained from a Michelson smart contract, the low-level language of Tezos smart contracts. This representat...
1,108,101,565,205
arxiv
\section{Introduction: von Neumann's automata and construction theory} John von Neumann's theory of self-reproducing automata \cite{vonneumann1951,vonneumann1966} is now regarded as one of the greatest theoretical achievements made in early stages of artificial life research \cite{marchal1998,sipper1998,mcmullin2000}....
1,108,101,565,206
arxiv
\section{Introduction}\lb{intro} Knowing accurately the orbital motions of the major bodies of our solar system \citep{2007SoSyR..41..265K} has historically played a fundamental role over the years in putting to the test alternative theories of gravity to those that had been deemed as established from time to time. Ju...
1,108,101,565,207
arxiv
\subsection*{Acknowlegements} This paper contains the main results obtained in the second part of my thesis. I would thus like to thank my thesis advisors Etienne Ghys and Patrick Popescu-Pampu for their guidance and encouragement; as well as Francis Bonahon, Louis Funar, Jean-Pierr...
1,108,101,565,208
arxiv
\section{Introduction} Metals are important constituents of the interstellar medium. Abundant metals such as calcium and iron are among the most heavily depleted elements in dense clouds, and therefore form a significant component of interstellar dust. The process of dust formation is not well understood (e.g., Drain...
1,108,101,565,209
arxiv
\section{Introduction} The main feature of Finsler geometry is that the associated {\em generalised} metric tensor $\tilde g$ (also called {\em fundamental tensor}) has a dependence on the directions. More precisely, at any point $p$ of a spacetime $\tilde M$ there are infinitely many scalar products $\tilde g_v$, o...
1,108,101,565,210
arxiv
\section{Introduction} The Quantum Cellular Automaton (QCA) is the quantum version of the popular cellular automaton of von Neumann \cite{neumann1966theory}. It describes the finite evolution of a discrete set of quantum systems, each one interacting with a finite number of neighbors via the unitary transformation of ...
1,108,101,565,211
arxiv
\section{Introduction} Momentum methods play a crucial role in numerous areas, including machine learning~\cite{Lin2020}, signal processing~\cite{beck2009fast}, and control~\cite{Qu}. Typical momentum techniques, including heavy-ball method~(HB)~\cite{polyak1964some} and Nesterov's accelerated gradient method~(NAG)~\c...
1,108,101,565,212
arxiv
\section{Introduction} The mechanism of the particle production in proton-proton collisions was studied continously for five decades. Pions and kaons are belived to be produced in the fragmentation process. The Lund string model is state of art in this context. On the other side quarkonium production at high energies ...
1,108,101,565,213
arxiv
\section*{References}% \begin{quotation}\mbox{}\par} \def\refer#1\par{{\setlength{\parindent}{-\leftmargin}\indent#1\par}} \def\end{quotation}{\end{quotation}} {\noindent\small{\bf Abstract:} The maximum mass of a neutron star (NS) is poorly defined. Theoretical attempts to define this mass have thus far been unsucces...
1,108,101,565,214
arxiv
\section{Introduction} The concept of two dimensional (2D) Dirac materials began with graphene~\cite{Novoselov2004,castro2012,Novoselov1379,Novoselov2012,Novoselov2004,castro} which was not only a big step in entering the 2D world but also a playground for 2+1 dimensional quantum field theories. When the Dirac theory c...