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1,314,259,995,063
arxiv
\section{Introduction} The study of subgraph appearances in random graph models is a well established line of research, beginning with the classic \emph{Erd\H{o}s-R\'enyi} graph and results concerning the distribution of such appearances and threshold phenomena, as in~\cite{karonski1983number},\cite{rucinski1988small}...
1,314,259,995,064
arxiv
\section{Introduction} In the LHC era, we hope to either verify the standard model or discover the theory that describes the physics of the weak scale. One of the open issues in the standard model (SM) is the origin of the accidental global symmetries, $U(1)_{B}$ and $U(1)_{L}$, where $B$ stands for baryon number an...
1,314,259,995,065
arxiv
\section{Introduction} \label{sec:intro} Mixture models are common tools in statistical pattern recognition \citep{mclachlan1988mixture}. They offer a mathematical basis to explain data in fields as diverse as astronomy, biology, ecology, engineering, and economics, amongst many others \citep{mclachlan2000finite}...
1,314,259,995,066
arxiv
\section{Introduction} The merger of two galaxies results in the formation of a newly assembled galaxy containing a supermassive black hole binary in its nucleus \citep{Begelman80}. Models of hierarchical galaxy formation predict that the most common supermassive black hole binaries arise from minor galactic mergers, a...
1,314,259,995,067
arxiv
\section{Introduction} \hspace{4mm} The $n$-person noncooperative game plays a fundamental yet important role in the development of game theory \cite{bo-95,or-94}. Nash \cite{nash-50,nash-51} proposed a very important concept of equilibrium, called Nash equilibrium, for $n$-person noncooperative games, which is a st...
1,314,259,995,068
arxiv
\section{Introduction} The Fabry-Perot (FP) interferometer provides a superb illustration of the mysterious ways in which interference works. Despite its apparent simplicity, it plays a central role as high-resolution spectrometer, laser resonator, or spectral filter, to cite only but a few of its many relevant uses. ...
1,314,259,995,069
arxiv
\section*{Table of Contents} {~~~~~~~~~~~~~~~~} \smallskip {\hskip 40pt 1. Introduction \dotfill 3} {\hskip 60pt 1.1 Binary Star Coalescence \dotfill 3} {\hskip 60pt 1.2 Laser Interferometers \dotfill 5} {\hskip 60pt 1.3 General Relativity \dotfill 5} \medskip {\hskip 40pt 2. Astrophysical Motivation and Applicat...
1,314,259,995,070
arxiv
\section{Introduction} \setcounter{lemma}{0} \setcounter{theorem}{0} \setcounter{corollary}{0} \setcounter{remark}{0} \setcounter{equation}{0} \setcounter{conjecture}{0} For a positive integer $r$, define the $n$-th harmonic number of order $r$ $$ H_n^{(r)}:=\sum_{k=1}^n\frac{1}{k^{r}}. $$ In particular, set $H_0^{(r)}...
1,314,259,995,071
arxiv
\section{Introduction} \label{sec1} Granular gases are usually modeled as a gas of hard spheres whose collisions are inelastic (inelastic hard spheres, IHS). In the simplest model, the spheres are completely smooth and the inelasticity of collisions is characterized by a (positive) constant coefficient of norma...
1,314,259,995,072
arxiv
\section{\label{sec:level1}Introduction} Electricity consumption has become a topic of immense importance. The growing interest in developed and developing countries has largely been triggered by the growing demand for energy across the world fueled mainly by increasing economic activities, particularly in emerging co...
1,314,259,995,073
arxiv
\section{Introduction} A paradigmatic problem in the Calculus of Variations is that of finding the quasiconvexification $Q\phi(\mathbf F)$ of a certain integrand $$ \phi(\mathbf F):\mathbb{M}^{m\times N}\to\mathbb{R}. $$ The relevance of such a process is very well-established because the vector variational problem co...
1,314,259,995,074
arxiv
\section{Introduction} In the 1960s, Joseph Weizenbaum at the MIT Artificial Intelligence Laboratory wrote the first Natural Language Processing (NLP) chatbot, ELIZA \citep{eliza}, which demonstrated the superficiality of communication between humans and machines by using pattern matching and substitution methodologies...
1,314,259,995,075
arxiv
\section*{Results} \subsection*{A quadratic steering inequality for qubits} To demonstrate steering, Alice and Bob need to be able to freely choose and perform different measurements; we consider the case where each of them can perform $N = 2$ or 3 measurements, labeled $i,j = 1,2$ or $3$, with \textit{a priori} binar...
1,314,259,995,076
arxiv
\section{Introduction}\label{IN} As introduced by Tabachnikov in \cite{ST}, a tripod configuration for a $C^2$ convex closed curve $\gamma$ consists of three perpendicular lines dropped from three points on $\gamma$ meeting at a single point and together making angles of $2\pi/3$. Tabachnikov proved that all $C^2$ clo...
1,314,259,995,077
arxiv
\section{Introduction} Active particles, e.g.\ micromotors and motile micro-organisms, can harvest energy from the environment for self-propulsion, known as active Brownian motion {\citep{schweitzer_brownian_2003,romanczuk_active_2012}}, which is fundamentally different from pure translational Brownian motion of pa...
1,314,259,995,078
arxiv
\section{Introduction} Several results have been published in the last few years, reporting observations with the SPIRE Fourier Transform Spectrometer (FTS) \citep{griffin10} on board the Herschel Space Observatory\footnote{Herschel is an ESA space observatory with science instruments provided by European-led Principa...
1,314,259,995,079
arxiv
\section{Introduction} The extremely low surface brightness galaxy NGC~1052--DF2{} was discovered by \cite{2000A&AS..145..415K}, who labeled it a dwarf galaxy candidate. \cite{no_dm_galaxy} measured the total mass of the galaxy by measuring the radial velocities of ten luminous globular clusters. Using the inferred ...
1,314,259,995,080
arxiv
\section{Introduction} Consider a compact metric space $(X,d)$ and a continuous transformation $f\colon X \to X$. Let $W\subset X$ be $f$-invariant, that is, $f(W) = W$. Given $A\subset W$, the \emph{$A$-exceptional set} in $W$ (with respect to $f|_W$) is defined to be the set \[ E^+_{f|W}(A) := \{x\in W\colon \ove...
1,314,259,995,081
arxiv
\section*{Introduction} \ In the family of ferroelectric materials, solid solutions based on barium titanate (BaTiO$_3$ or BTO) combine superior functional responses to applied electric fields, making them suitable for applications such as efficient solid-state cooling devices, piezoelectric energy harvesting, energy ...
1,314,259,995,082
arxiv
\section{Introduction}\label{sec:introduction} Early on, Neural Networks (NNs) have proven to excel at interpolating between training data points but to fail when extrapolating to regions not covered by the training data~\cite{158898,227294}. The lack of sufficiently large datasets, therefore, limited the application o...
1,314,259,995,083
arxiv
\section{Introduction} Charge distribution of pions in multiple production processes drew much attention recently. The growth of interest in this subject is due to expectations to detect the disoriented chiral condensate (DCC) formation in high energy collisions \cite{1}-\cite{6}. The simplest picture of the process i...
1,314,259,995,084
arxiv
\section{Introduction} \label{sec:intro} Extensive games are used in formalization of economics and in decision processes. Rational decision is logic, but it is not exaggerated to claim that rational decision is essentially a computational process and therefore it should be based on computational logic, like the calcu...
1,314,259,995,085
arxiv
\section{Introduction} In our preprevious papers$^{[1-4]}$, it has been shown that some massive gauge field theory in which the masses of all gauge fields are the same may really be set up on the gauge-invariance principle without the help of the Higgs mechanism. The essential points of achieving this conclusion are t...
1,314,259,995,086
arxiv
\section{Introduction} \label{sec:intro} Submillimeter and millimeter wavelength observations of protoplanetary disks provide views into the disk structure, composition, evolution, and dust grain properties within the nascent environments of planet formation \citep[see, e.g.,][]{andrewswilliams05, andrews07b, birnstiel...
1,314,259,995,087
arxiv
\section{Introduction} \label{sec:intro} Receptors dynamic along cell membrane is a key factor in several biological phenomena, as for angiogenesis, tumor metastasis, endocytosis and exocytosis. Angiogenesis is a multistep process in which endothelial cells are affected by several extracellular stimuli, including g...
1,314,259,995,088
arxiv
\section{Introduction} Deep reinforcement learning (RL) is poised to revolutionize how autonomous systems are built. In recent years, it has been shown to achieve state-of-the-art performance on a wide variety of complicated tasks \cite{mnih2015human,lillicrap2015continuous,schulman2015trust,van2016deep,schulman2017pro...
1,314,259,995,089
arxiv
\section*{Introduction} Let $k$ be an algebraically closed field and $X$ be a smooth proper variety over $k$ together with an endomorphism $\xymatrix{X \ar[r]^-{f} & X}$ such that its graph $\xymatrix{X \ar[r]^-{\Gamma_f} & X \times X}$ intersects the diagonal $\xymatrix{X \ar[r]^-{\Delta} & X \times X}$ transversally...
1,314,259,995,090
arxiv
\section{Introduction} \IEEEPARstart{T}{he} cellular industry has witnessed a tremendous growth over the last decade in terms of the number of subscribers and the volume of carried traffic. In order to meet the ever growing capacity requirements, operators worldwide are increasing the base station deployment density. A...
1,314,259,995,091
arxiv
\section*{Acknowledgment} This work was supported by Bpifrance agency (funding) through the LiChIE contract. Computations were performed on the Inria Rennes computing grid facilities partly funded by France-BioImaging infrastructure (French National Research Agency - ANR-10-INBS-04-07, “Investments for the future”)....
1,314,259,995,092
arxiv
\section{\label{sec:level1}Introduction:} The emergence of novel resistive memories such as resistive RAM (RRAM)\cite{t1}, phase change memory (PCM) \cite{t2}, and spin transfer torque RAM (STTRAM)\cite{t3}, aiming at replacing or complementing flash memories and other silicon-based memories including dynamic random-a...
1,314,259,995,093
arxiv
\section*{Acknowledgment} Work supported in part by POCTI/CTM/59318/2004, IST-2001-37334 NEXT MRAM and POCTI/CTM/36489/2000 projects. J. Ventura, and R. Ferreira are thankful for FCT grants (SFRH/BPD/21634/2005 and SFRH/BD/6501/2001).
1,314,259,995,094
arxiv
\section{Introduction} The large-scale distribution of galaxies carries rich information on the structure and the evolution of the Universe and on how galaxies are formed from early through to the present day. Line intensity mapping (LIM) is aimed at measuring large-scale intensity fluctuations of line emissions fro...
1,314,259,995,095
arxiv
\section{Introduction} Spectroscopic studies of the central star(s?) and complex ejecta of $\eta$ Car have been severely limited by the low spatial resolution of ground-based observations. Recent studies using the {\it Hubble Space Telescope} (HST) have thus led to an explosion of information. For example, we now ...
1,314,259,995,096
arxiv
\section{Introduction} \label{sec1} This work was motivated by a systematic review and meta-analysis of treatment-related adverse events of programmed cell death 1 (PD-1) and PD-1 ligand 1 (PD-L1) inhibitors for cancer immunotherapy \citep{wang2019treatment}. The PD-1 pathway is negatively up-regulated in many tumors ...
1,314,259,995,097
arxiv
\section{Introduction} The $B$-factories BaBar and Belle ran for over ten years, and made an enormous number of measurements of observables in $B$ decays. For the most part, these decays were of the form $B \to M_1 M_2$ ($M_i$ is a meson), as these are most accessible experimentally. Nevertheless, there have still bee...
1,314,259,995,098
arxiv
\section{Introduction} \label{sec:intro} Accurate localization is becoming an increasingly indispensable tool for supporting a variety of indoor and outdoor applications such as wildlife monitoring, location-based advertising \cite{Steiniger_et_al_2006}, search-and-rescue operations \cite{Lo_Xia_etal_2008}, self-...
1,314,259,995,099
arxiv
\section{Introduction} With the advent of topological insulators, the observation of many fascinating phenomena became possible\cite{hasankane,zhangrmp}, including the magnetoelectric effect, axion electrodynamics, Majorana fermions. In their bulk, these materials resemble to a normal insulator, but their surface...
1,314,259,995,100
arxiv
\section{Introduction}\label{sec:introduction} Deep neural network (DNN) and deep learning techniques show promising performance in vast variety of tasks. In quantum information, DNN is utilized to decode stabilizer code \cite{krastanov2017deep} through encoding the probability distribution of errors. The authors in ...
1,314,259,995,101
arxiv
\section{\label{sec:level1}Introduction} In presence of a high intensity field, called the control field, an opaque medium can be rendered transparent for a low intensity probe field, within a narrow spectral range around the absorption line of the probe field. This phenomenon, first proposed by Harris \textit{et al.}...
1,314,259,995,102
arxiv
\section{Introduction} \label{sec_intro} This paper is motivated by the work of Etingof and Varchenko \cite{e-v:cdyb} on {\it classical dynamical $r$-matrices} for the pair $(\mbox{${\frak g}$}, \mbox{${\frak h}$})$, where $\mbox{${\frak g}$}$ is a complex simple Lie algebra and $\mbox{${\frak h}$} \subset \mbox{${\...
1,314,259,995,103
arxiv
\section*{} \maketitle \vspace{1mm} {\em Introduction} \vspace{1mm} Presenting entropy formulas has a long tradition in statistical physics and informatics. The first, classical 'logarithmic' formula, designed by Ludwig Boltzmann at the end of nineteenth century, is the best known example, but -- often j...
1,314,259,995,104
arxiv
\section{Introduction} In a recent paper \cite{oph} magnetic force microscopy (MFM) was employed to image and manipulate individual vortices in a single crystal YBa$_2$Cu$_3$O$_{6.991}$, directly measuring the interaction of a moving vortex with the local disorder potential. Several unexpected results were obtained in...
1,314,259,995,105
arxiv
\section{Introduction} \label{Sec:intro} The sensitivity of the Higgs potential to very large energy scales makes it unstable to quantum corrections. Stabilization of the scale of electroweak symmetry breaking (EWSB) is one of the most profound problems in particle physics. One can eliminate this sensitivity to UV scal...
1,314,259,995,106
arxiv
\section{First encounter with Rudolf Haag} On his return from the Niels Bohr Institute in Copenhagen to the University of Munich Rudolf Haag passed through Hamburg to meet his colleague Harry Lehmann, at that time the newly appointed successor of Wilhelm Lenz who held the chair of theoretical physics since the 19...
1,314,259,995,107
arxiv
\section{Introduction} \label{sec:intro} The study of quantum fields in de Sitter space is a topic of timely interest. Although the issue of computing radiative corrections in curved spaces in general and in de Sitter space in particular is a rather old topic (see e.g. \cite{Birrell:1982ix}), it has seen a renewed in...
1,314,259,995,108
arxiv
\section{\sc{Introduction}} Kazhdan's property $(T)$ of a topological group $G$ is an important rigidity property, defined in terms of the unitary representations of $G$ on Hilbert spaces. We recall the precise definition : \begin{df} \rm{}A pair $(G,H)$ of topological groups, where $H$ is a closed subgroup of $G$, is...
1,314,259,995,109
arxiv
\section{Introduction} A universe with a bounce process~ (see for example~\cite{Battefeld:2014uga, Brandenberger:2016vhg} for two most updated reviews) is a possible solution of the cosmic singularity problem~\cite{Borde:1993xh, Borde:1996pt} in the standard cosmology within the inflation paradigm~\cite{Guth:2013sya, ...
1,314,259,995,110
arxiv
\section{Introduction}\label{sec:intro} Since the discovery of the charge density wave (CDW) instability in several families of one- (1D) and two-dimensional (2D) conductors such as the Krogmann salts~\cite{Comes1973}, organic charge transfer salts~\cite{Jerome1982} and transition metal dichalcogenides~\cite{Wilson197...
1,314,259,995,111
arxiv
\section{Introduction} In the context of wireless communications, a \acf{RIS} usually acts as an ``anomalous mirror'' or a ``focusing lens'' that can be configured to reflect or refract impinging radio waves towards arbitrary angles by applying appropriate phase shifts to the incident signals \cite{renzo2020Smart,renz...
1,314,259,995,112
arxiv
\section{Introduction and preliminaries} A group divisible design ( or GDD) is a triple $(X,\mathcal{G},\mathcal{B})$ which satisfies the following properties: \begin{enumerate} \item $\mathcal{G}$ is a partition of a set $X$ into subsets called groups; \item $\mathcal{B}$ is a set of subsets of $X$ called blocks such ...
1,314,259,995,113
arxiv
\section{Introduction} The lattice sphere packing and covering problems can be stated in similar ways: in both problems we look for an optimal arrangement of equal-sized spheres centered at points of a lattice; whereas in the packing problem we must have no overlap between spheres and we must minimize the amount of un...
1,314,259,995,114
arxiv
\section{Discussion} In our study we have provided the first experimental observation of a second order meron and antimeron in an electromagnetic field. The meron and antimeron polarisation textures result from the anisotropic refractive index of our optical liquid-crystal filled cavity. The artificial photonic gauge f...
1,314,259,995,115
arxiv
\section{Introduction} \label{Introduction} The idea that time may emerge from quantum entanglement was first proposed in 1983 by Don Page and William Wootters \cite{pagewootters,wootters,pagearrow} to solve the, so called, “problem of time”. This arises in the context of canonical quantization of gravity where, accor...
1,314,259,995,116
arxiv
\subsection{Preliminaries} \label{st:prelim} We use the standard convention that capital letters refer to random variables (RVs) and corresponding lowercase letters refer to values that the RVs can take. All our RVs take values in finite sets such as the set of bit strings of a given length or a finite subset of the r...
1,314,259,995,117
arxiv
\subsection{Summary of the results} Here we provide more specific details on the results that we obtain in this paper. In \underline{Section \ref{Inertia}}, we study the inertia stack of $\overline{\mathcal{M}}_{2,n}$. In Section \ref{inertia} we deal with the inertia stack of $\mathcal{M}_{g,n}$ and its compactifica...
1,314,259,995,118
arxiv
\section{Introduction} G-0.02-0.07 is a group of 4 HII regions (three compact and one ultracompact) in the Galactic center (hereafter GC) which lie $\sim6$ parsecs in projection from the central supermassive black hole. Individually, the regions are also identified as Sgr A-A through Sgr A-D, as they were first iden...
1,314,259,995,119
arxiv
\section{Introduction} A long-standing challenge in computer science is the development of algorithms that can interact with humans in natural language \citep{turing1950machinery}. Ultimately, the goal of dialog research is to create systems that can engage in back-and-forth interactions with real users \citep{eskenaz...
1,314,259,995,120
arxiv
\subsection{0pt}{12pt plus 2pt minus 2pt}{4pt plus 2pt minus 2pt} \renewcommand\thesubsection{\thesection\Roman{subsection}} \begin{document} \title{Bell's Theorem Begs the Question} \author{Joy Christian} \email{jjc@bu.edu} \affiliation{Einstein Centre for Local-Realistic Physics, Oxford OX2 6LB, United Kin...
1,314,259,995,121
arxiv
\section{Introduction} At hadron colliders the determination of the masses of new particles associated with missing momentum signals is very challenging due to the fact that the kinematics of the event cannot be completely reconstructed. Hadron colliders collide partons within each hadron, and each parton involved in ...
1,314,259,995,122
arxiv
\section{Introduction} Large blank-field surveys made at (sub-)millimetre wavelengths have identified a large population of bright, high-redshift galaxies \citep[e.g.][and references therein]{hughes98,coppin06,bertoldi07,perera08,weiss09,scott10}. These sub-millimetre galaxies (SMGs) are characterized by high infrar...
1,314,259,995,123
arxiv
\subsection{\texorpdfstring{$\ell$}{l}-adic realization of \texorpdfstring{$\singc{\Vu(p),s}$}{Singcoh}} Let $(X,p^+)$ be an LG model over $(Y,\Ec_Y^+)$. Assume that both $X$ and $p^+$ are regular. One immediate consequence of the identification \begin{equation*} \singc{\Vu(p),s}\simeq \sing{\Vc,W_{p^+|\Vc}}\simeq...
1,314,259,995,124
arxiv
\section{Introduction} This paper describes an approach to analysing meromorphic connections on Riemann surfaces. The technique, called \textit{abelianisation}, is to introduce a decorated graph $\Gamma$ on a Riemann surface $X$ in order to establish a correspondence between meromorphic connections on vector bundles o...
1,314,259,995,125
arxiv
\section{Introduction} \label{sec:intro} Topological data analysis aims to characterize the shape of high-dimensional data. However, given human inability to perceive more than three dimensions, gaining an intuitive geometric comprehension of high-dimensional datasets is a challenging task. Persistent homology extract...
1,314,259,995,126
arxiv
\section{Introduction}\label{sec:introduction} \begin{table*}[ht] \centering \caption{Order issue in natural language generation, in which an incorrect generated sentence has \textcolor{red}{\underline{wrong ordered slots}}.} \label{tab:issues} \resizebox{\textwidth}{!}{% \begin{tabularx}{1.2\textwidth}{lX} \textbf{Inp...
1,314,259,995,127
arxiv
\section{Keywords} exchange bias; mu-metal; Ni-Fe-Cu-Mo; soft ferromagnets \section{Introduction} Exchange bias is a phenomenon related to the interfacial exchange interaction between two ordered magnetic materials \cite{EBreviewIvan, josep-nanoeb-review}. Observed primarily in structures composed of ferromagnet/ant...
1,314,259,995,128
arxiv
\section{Introduction} The discovery of high Galactic latitude cool (F, G, K) and hot (O,B) post Asymptotic Giant Branch (post-AGB) supergiants - e.g., HD 161796 (Parthasarathy \& Pottasch 1986) and LSII +34$^{\circ}$26 (Parthasarathy 1993) - indicated that K, G, F, A, O, B post$-$AGB supergiants form an evolutio...
1,314,259,995,129
arxiv
\section{Introduction} \noindent Quantizing gravity has become a longstanding problem, posing continuous challenges over the last 100 years, i.e. since the birth of General Relativity (GR). Many similarities exist between GR and other gauge theories that can be recovered casting the Einstein-Hilbert action in terms of...
1,314,259,995,130
arxiv
\section{} \section{Introduction} \label{sec:intro} The impurity problem has been in the research community spotlight since the dawn of solid state physics. Aside from its fundamental interest, studying the system's response to an impurity, and more generally, to any kind of defect, constitutes a powerful tool to prob...
1,314,259,995,131
arxiv
\section{Introduction} \label{1} A paradoxical result in \cite{zhang} according to which DNN memorize the training samples by brute force leaves unexplained where the generalization capabilities of DNN come from. This “apparent” paradox, as it has been dubbed in \cite{26}, has led to active discussions by many scholars...
1,314,259,995,132
arxiv
\section{Introduction} There are two problems when considering an inelastic scattering processes: the first problem is the calculation of a multidimensional integral (\ref{crosssection}); and the second problem is the large number of such integrals. \begin{eqnarray} \sigma_n=\frac{\left(2\pi\right)^4}{4n!I}\int\fr...
1,314,259,995,133
arxiv
\section{#1} \setcounter{equation}{0}} \newcommand{\hfill\vrule height8pt width8pt depth 0pt}{\hfill\vrule height8pt width8pt depth 0pt} \newcommand{\secref}[1]{Section~\ref{#1}} \newcommand{\appref}[1]{Appendix~\ref{#1}} \newcommand{\eqnref}[1]{(\ref{#1})} \newcommand{\figref}[1]{Figure~\ref{#1}} \newcommand{\thmref}...
1,314,259,995,134
arxiv
\section{Introduction} \setcounter{equation}{0} In 1994 Brian Hall [11] studied the Segal-Bargmann transform on a compact Lie group $ G.$ For $ f \in L^2(G) $ let $ f*h_t $ be the convolution of $ f $ with the heat kernel $ h_t $ associated to the Laplacian on $ G.$ The Segal-Bargmann transform, also known as the he...
1,314,259,995,135
arxiv
\section{Introduction} Recently, the globalization of modern integrated circuit (IC) industry has raised more and more hardware security challenges. For example, intellectual property (IP) cores and EDA tools provided by the third-party are widely used in IC design to reduce development cost and to shorten the marketin...
1,314,259,995,136
arxiv
\section{Introduction} Should I put the toaster in the oven? Or does the cake go in the oven? Questions like these are trivial for humans to answer, but machines have a much more difficult time determining right from wrong. Researchers have chased mimicking human intelligence through linguistic commonsense as early as...
1,314,259,995,137
arxiv
\section{\label{sec:intro}Introduction} Following the recent rapid development of quantum computing technologies, many researchers are now investigating applications of quantum algorithms to practical problems in industries. The quantum algorithms for Monte Carlo integration (MCI), which we hereafter abbreviate as QMC...
1,314,259,995,138
arxiv
\section{Introduction} Collisions of heavy nuclei at the Relativistic Heavy Ion Collider have created matter with energy densities exceeding the predicted threshold for deconfinement of color charge into a hot dense plasma~\cite{ppg048}. In this quark gluon plasma(QGP), quarks and gluons are not bound within hadron...
1,314,259,995,139
arxiv
\section{Introduction} Motion forecasting in autonomous vehicles is a challenging research problem to solve for the autonomous driving industry. Motion forecasting involves predicting the future trajectories of the agents in a scene given their history trajectories and the scene context, usually in the form of a lane ...
1,314,259,995,140
arxiv
\section{Introduction} Humans make use of both verbal and nonverbal communication to achieve efficient, expressive, and robust face-to-face interaction. Both are fundamentally intertwined, born out of a common representation of the message to be communicated, colored by the situation at hand. Interactions with social ...
1,314,259,995,141
arxiv
\section{Introduction}\label{sec-intro} Let $(A, +)$ and $(B,+)$ be two abelian groups of orders $n$ and $\ell$, respectively. For a function $f$ from $A$ onto $B$, define $$ N_b(a) := \big| \{x \in A: f(x+a) - f(x) = b \} \big|. $$ If $N_b(a) = \frac{n}{\ell}$ for all $b \in B$ and all nonzero $a \in A$, the fu...
1,314,259,995,142
arxiv
\section{Preliminaries}\label{preliminaries} By an action of the group $G$ on a set $X$ we mean a map $\beta\colon G\times X\to X$ that satisfies the usual conditions \begin{enumerate}[label=(D\arabic*)] \item for every $x\in X$ we have $\beta(e,x)=\id$, where $e$ is the neutral element of $G$ \item for every $s,t\in...
1,314,259,995,143
arxiv
\section{Introduction} Galaxies with central surface brightness much fainter than the value of $\mu_0(B) = 21.65 \pm 0.3$ mag arcsec$^{-2}$ are well known as low surface brightness galaxies (LSBGs). Although they are faint compared to the night sky and hard to find, they represent a significant fraction of the number ...
1,314,259,995,144
arxiv
\chapter*{Objectives}\label{objectives}} \addcontentsline{toc}{chapter}{Objectives} The objective of this MSc thesis is to tackle innovative technologies from a unifying perspective, prioritising simplicity and understanding over obscure constructions, and benefitting further popularisation of the cryptographic proofs...
1,314,259,995,145
arxiv
\section*{Introduction} A possibility to accelerate high-intensive polarized proton beam up to 70~GeV at the IHEP U70 accelerator, extract it from the main ring and deliver to several experimental setups was intensively studied last time in 2005 and Spring of 2006 in Protvino~\cite{spin05}-\cite{praga06}. We propos...
1,314,259,995,146
arxiv
\section{Introduction} Vision Language (VL) understanding is challenging because it requires VL models to identify and integrate information from both modalities to fully understand visual scenes. Numerous VL benchmarks have been created such as CLEVER \cite{johnson2017clevr}, GQA \cite{hudson2019gqa}, VQA \cite{li2...
1,314,259,995,147
arxiv
\section{Introduction} \label{sec:Intro} Throughout this paper we consider graphs with no loops or parallel edges. A \emph{topological graph} is a graph drawn in the plane with its vertices as distinct points and its edges as Jordan arcs that connect the corresponding points and do not contain any other vertex a...
1,314,259,995,148
arxiv
\section{Introduction} New spectral bands are required to support Terabit-per-second (Tbps) data rates for future wireless applications to deal with the exponential growth of wireless data traffic~\cite{chong2017thz,chen2019channel}. Currently, wireless local area networks (WLAN) techniques, i.e., 802.11ad protocol an...
1,314,259,995,149
arxiv
\section{Introduction} Let $P$ and $Q$ be non-zero integers with $P^{2}+4Q\neq 0.$ Generalized Fibonacci sequence $\left( U_{n}(P,Q)\right) $ and Lucas sequence $\left( V_{n}(P,Q)\right) $ are defined by the following recurrence relations \begin{equation*} U_{0}(P,Q)=0,\RIfM@\expandafter\text@\else\expandafter\mb...
1,314,259,995,150
arxiv
\section{Introduction} \IEEEPARstart{I}{m}age classification lies at the core of many computer vision related tasks: extracting relevant information from telescope images in astronomy, navigation in robotics, cancer classification in medical image, security, to cite a few examples. It is currently almost an ontolo...
1,314,259,995,151
arxiv
\section{Introduction} A dynamical billiard system consists of a particle represented as a geometric point moving freely within a bounded region in the plane, its collisions with the boundary of the region are elastic and obey the reflection law. G.D. Birkhoff \cite{birkhoff1927periodic} introduced dynamical billi...
1,314,259,995,152
arxiv
\section{Introduction\label{sec:intro}} The anomalous magnetic moment of the muon, $a_\mu$ is one of the most precisely measured quantities in particle physics. It is defined as the deviation of the $g$-factor, which determines the strength of the muon's magnetic moment, from the value $g=2$ predicted by the Dirac equ...
1,314,259,995,153
arxiv
\section{Introduction} Much work has been done on spin related transport properties of nanoelectronic devices resulting in interesting applications, for example the so called spin field effect transistor proposed by Datta and Das \cite{Dat:Das}. There has been particular interest in using the Rashba effect to manipulat...
1,314,259,995,154
arxiv
\section{Introduction} \label{sec:intro} Multi-speaker tracking using microphones is an important task in smart environments such as automatic camera steering in video conferencing. Numerous acoustic multi-speaker tracking algorithms can be found in the literature \cite{ward2003particle, vo2004tracking, ma2006tracki...
1,314,259,995,155
arxiv
\section{Introduction} \label{sect:intro} The binary stars play an important role in the study of stellar evolution. At formation time, stars are always in clusters. In their main sequence time, stars are fractionally in binary systems, depending on their spectral types. \cite{Ragh2010} considered the fraction is larg...
1,314,259,995,156
arxiv
\section{Introduction} \subsection{Overview} In financial markets two basic entities are the expected relative price change and volatility. The latter is defined as the standard deviation of relative price change in a specified time period. The expected relative price change is, of course, at the heart of fina...
1,314,259,995,157
arxiv
\section{Introduction} \label{intro} The recent developments in the experiments of dilute atom gases, namely the achievement of Bose-Einstein condensation in dilute atomic vapors of $^{87}$Rb and $^{23}$Na~\cite{CW-02,Ketterle-02} and the great progress in the experimental manipulation of cold atoms in optical lattice...
1,314,259,995,158
arxiv
\section{Introduction} \label{sec:intro} During the last three decades, the study of factorizations based on Diagram~\eqref{diag:AAZ's atomic chain} has earned significant attention among researchers in commutative algebra and semigroup theory. This diagram of classes of integral domains satisfying conditions weaker t...
1,314,259,995,159
arxiv
\section{Introduction} \PARstart Multiple-input multiple-output (MIMO) systems are of great interest because they can provide a significantly higher capacity as compared to their single-input single-output (SISO) counterparts by exploiting the spatial dimension. One way of measuring this benefit is via the spatial mult...
1,314,259,995,160
arxiv
\section{Introduction} With the emergence of many medical imaging devices and technologies in the operating rooms (MRI, ultrasound imaging, surgical microscope, etc .), the automated analysis of data recorded during video monitored surgeries has developed during the last decade. \changed{Methods} emerged in this resea...
1,314,259,995,161
arxiv
\section*{Introduction} Let $K$ be a finite extension of ${\Q_p}$. We fix an algebraic closure $\overline{K}$ of $K$ and we let ${\cal G}_K = {\mathrm{Gal}}(\overline{K}/K)$. In order to study $p$-adic Galois representations, Fontaine has constructed in \cite{Fon90} an equivalence of categories $V \mapsto D(V)$ betwee...
1,314,259,995,162
arxiv
\section{Introduction} One of the most peculiar properties a physical system can exhibit is quantum-mechanical entanglement \cite{ES}. From a fundamental perspective, entanglement is a non-classical effect which is indispensable for the understanding of fundamental quantum physics. From a technological perspective, en...