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1,477,468,750,681
arxiv
\section{\label{sec:intro}Introduction} Studies of inclusive \Wvar\ and \Zgam\ boson production in proton-proton collisions provide valuable information, both to test the Standard Model of particle physics and to advance our understanding of the proton's substructure. Measurements of the production cross sections $\...
1,477,468,750,682
arxiv
\section{Introduction} One of the topics in the modern field of high-energy astrophysics is the origin and propagation of cosmic rays. However, the directional information of the cosmic rays is lost due to their interaction with the interstellar magnetic field. The observation of the gamma-ray emission by the interac...
1,477,468,750,683
arxiv
\subsection{Introduction} Phase-coherent transport in mesoscopic superconductor/normal metal ($S/N$) systems has been an active area of research during the last decade \cite{LR}. The interest in the theoretical investigations was stimulated by impressive technological advances and by experimental activity in studying ...
1,477,468,750,684
arxiv
\section{Introduction} With the CERN LHC program underway, we started seeing an exponential acceleration of data growths in High-Energy Physics (HEP) field. By the end of Run II, the CERN experiments were already operating in the petabyte (PB) regime, producing $O$(100)PB of data each year. And, the new HL-LHC progra...
1,477,468,750,685
arxiv
\section{Introduction}\label{section1} In an introductory statistics course, we usually teach students how to conduct a hypothesis test based on independent samples to compare the means of two populations with equal, but unknown variance. Let $y_{ij}$ be random samples drawn from independent and normally distributed...
1,477,468,750,686
arxiv
\section{INTRODUCTION} \IEEEPARstart{W}{ireless} network infrastructures in the fifth-generation (5G) and beyond technologies will experience an exponential growth of interconnected devices. (BSs) or access points (APs) making the network highly dense and of heterogeneous \cite{Xiaohu20145G}. for the dense inter-conn...
1,477,468,750,687
arxiv
\subsection*{\refname}} \bibliographystyle{naturemag}
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arxiv
\section{#1}\vspace{-3pt}} \newcommand{\Subsection}[1]{\vspace{-2pt}\subsection{#1}\vspace{-2pt}} \newcommand{\Subsubsection}[1]{\vspace{-4pt}\subsubsection{#1}\vspace{-4pt}} \newenvironment{tight_itemize}{\begin{itemize} \itemsep -1pt}{\end{itemize}} \newenvironment{tight_enumerate}{\begin{enumerate} \itemsep -1pt}{...
1,477,468,750,689
arxiv
\subsection{\@startsection{subsection}{3}% \z@{.5\linespacing\@plus.7\linespacing}{.3\linespacing}% {\bfseries\centering}} \makeatother \makeatletter \def\subsubsection{\@startsection{subsubsection}{3}% \z@{.5\linespacing\@plus.7\linespacing}{.3\linespacing}% {\centering}} \makeatother \makeatletter \def\ifx\...
1,477,468,750,690
arxiv
\section{Introduction} We consider model order reduction (MOR) of asymptotically stable linear time invariant (LTI) dynamical systems of the form \begin{align}\label{eq:LTI} \begin{split} \dot{x}(t) &= Ax(t)+Bu(t), \quad x(0) = x_0, \\ y(t) &= Cx(t)+Du(t) \end{split} \end{align} for $t\ge 0$ with initial valu...
1,477,468,750,691
arxiv
\section{NFRHT in plasmonic and polaritonic bulk systems} We describe NFRHT at a mean temperature, $T$, by evaluating the radiative thermal conductance per unit area \cite{song_near-field_2015}: \begin{equation}\label{eq:HTC_def} h=\int_0^{\infty} \left[\frac{\partial}{\partial T}\theta(\omega,T)\right]\Phi\bomega...
1,477,468,750,692
arxiv
\section{Introduction} \label{sec:introduction} Your computer is continuously, efficiently, and reliably executing computer programs, but does it really understand them? Artificial intelligence researchers have taken great strides towards teaching machines to understand images, speech, natural text, and other media. T...
1,477,468,750,693
arxiv
\section{Introduction} \begin{figure*} \includegraphics[height=2.3in, width=0.8\textwidth]{img/d2d_general.png} \caption{We assume that $\mathbf{x}_A$, $\mathbf{x}_B$ are click vectors in two domains A and B from user $u$. Also, $\mathbf{x}_A$ and $\mathbf{x}_B$ can be mapped to the same latent code $\mathbf{z}$ in a s...
1,477,468,750,694
arxiv
\section{Introduction, definitions and notations} The classical Hermite-Hadamard inequality \cite{Had} states that if a function $f\colon[a,b]\to\mathbb{R}$ is convex, then \begin{equation*} f\left(\frac{a+b}{2}\right)\leq \frac{1}{b-a}\int_a^b f(t)\d{t}\leq \frac{f(a)+f(b)}{2}. \label{eq:HH-dim1} \end{equation*...
1,477,468,750,695
arxiv
\section*{APPENDIX} \section*{ACKNOWLEDGMENT} We are grateful for the support of the Swiss Drone and Robotics Centre, the Swiss Rescue Troops, our sponsors who gave us the opportunity to develop our prototype, and the helpful advice and assistance of Michael Riner-Kuhn, Matthias Müller, Cornelia Della Casa, Luciana B...
1,477,468,750,696
arxiv
\section{Introduction} The first direct detections of gravitational waves by the advanced LIGO detectors \cite{GW_2016, GW_2016b, GW_2017, GW_2017b} have opened the era of gravitational wave astronomy. These fascinating detection results are a consequence of technology breakthroughs allowing us to measure tiny displac...
1,477,468,750,697
arxiv
\section{Conclusion} \label{sec:conclusion} In this paper we demonstrated the efficacy of VQA datasets generated using 3D computer graphics to incorporate new skills into existing VQA models trained on real data. We particularly showed that we can teach a VQA model how to count objects in the real world by using only s...
1,477,468,750,698
arxiv
\section{Introduction} In the interval constrained 3-coloring problem, we are given a set $\I$ of intervals defined on $[n] := \{1,\ldots,n\}$ and a \emph{requirement} function $r : \I \to \setZ^3_{\ge 0}$, which maps each interval to a triple of non-negative integers. The objective is to determine a coloring $\chi : ...
1,477,468,750,699
arxiv
\section{Introduction} The algebraic theory of differential equations, also known as differential algebra~\cite{Ritt}, aims at studying nonlinear differential equations using methods of algebra and algebraic geometry. For doing this, one typically abstracts from functions (analytic, meromorphic, etc) to elements of di...
1,477,468,750,700
arxiv
\section{Introduction} Tl-doped PbTe (Pb$_{1-x}$Tl$_{x}$Te) is a degenerate semiconductor with a small carrier concentration of $\sim10^{20}$ holes/cm$^{3}$ or less. However, for Tl concentrations $x$ beyond a critical value $x_c \sim 0.3 \%$ it is observed to superconduct,\cite{Matsushita_2005} with a maximum $T_c$ o...
1,477,468,750,701
arxiv
\section{Introduction} One of the most crucial questions for a policy maker is how to assign a treatment to an individual or a group. For example, during the COVID-19 pandemic, each government has tried to find an effective order of vaccination. Recently, statistical treatment rules based on the decision theoretic fra...
1,477,468,750,702
arxiv
\section{Conclusions and Future Work} Flow-based algorithms for local graph clustering exhibit very strong cut improvement and runtime guarantees. In our work we have exploited efficient warm-start and push-relabel heuristics to provide practitioners with a very simple yet fast flow-based method for real-world data min...
1,477,468,750,703
arxiv
\section{Introduction} Face and kinship verification are two popular facial analysis tasks in computer vision. Face verification attempts to determine whether or not a given pair of face samples belong to the same subject\cite{face_verification}. Kinship verification aims to predict whether or not there is a kin relati...
1,477,468,750,704
arxiv
\section{Coarse-graining via the fluctuation-dissipation theorem} A fluctuation-dissipation theorem of the second kind (FDT), according to the terminology of Kubo \cite{KTH85}, gives a one-to-one relationship between the noise and the friction properties of a diffusion process, and is formulated even far from equilibr...
1,477,468,750,705
arxiv
\section{Introduction} Transformer language models like BERT \cite{devlin2019bert}, GPT \cite{radford2018improving, radford2019language} and XLNet \cite{yang2019xlnet}, have improved the state-of-art in many NLP tasks since their introduction. The versatility of these pre-trained models suggests that they may acquire ...
1,477,468,750,706
arxiv
\section{#1}} \numberwithin{equation}{section} \newcommand{\begin{equation}}{\begin{equation}} \newcommand{\end{equation}}{\end{equation}} \newcommand{\begin{eqnarray}}{\begin{eqnarray}} \newcommand{\end{eqnarray}}{\end{eqnarray}} \newcommand{\begin{eqnarray*}}{\begin{eqnarray*}} \newcommand{\begin{eqnarray*}}{\begin{e...
1,477,468,750,707
arxiv
\section{Introduction} A necessity of a Green function diagonal study is directly connected with the generalized zeta-function (GZF) theory of elliptic differential operators \cite{S}, which is successfully applied to a regularization of the operators determinants \cite{H}. Such elliptic problems, for example, appea...
1,477,468,750,708
arxiv
\section{Introduction.} \label{sec-intro The central theme of this essay is the study of a special kind of element of the general linear group ${\rm GL}\,(d,q)$ of nonsingular $d\times d$ matrices over a finite field ${\rm GF}\,(q)$ of order $q$. We define these elements, which we call {\it primitive prime divisor e...
1,477,468,750,709
arxiv
\section{Introduction} Let \(Q^m \subset {\mathbb R}^m\) be the open unit cube and \(N^n\) be a compact smooth manifold of dimension \(n\) imbedded in \({\mathbb R}^\nu\) for some \(\nu \ge 1\). Given \(k \in {\mathbb N}_*\) and \(1 \le p < +\infty\), we define the class of Sobolev maps from \(Q^m\) with values into \...
1,477,468,750,710
arxiv
\section{Introduction} Elliptic flow is described by the differential second Fourier coefficient of the azimuthal momentum distribution $v_{2}({\cal D})=\langle \cos(2\phi) \rangle_{\cal D}$ \cite{Ollit92,Bar94,PosVol}. The brackets denote averaging over many particles and events, and ${\cal D}$ represents a phase-spac...
1,477,468,750,711
arxiv
\section{The Spectral Containment Property}\label{sec:eigenvaluecontainment} We would like to relate the hyperbolicity cone of a homogeneous stable polynomial with the hyperbolicity cone of its minor lift. Recall from \Cref{def:eigenvalue_containment} that a homogeneous multiaffine stable polynomial $p$ has the \emph{...
1,477,468,750,712
arxiv
\section{Introduction} The success of deep learning in computer vision \citep{alexnet, resnet}, natural language processing \citep{bert, gpt3}, game playing \citep{alphago, atari1, EfficientZero}, and more keeps motivating a growing body of applications of deep learning on an increasingly wide variety of domains. In p...
1,477,468,750,713
arxiv
\section{Introduction}\label{sec:intro} \emph{Top-$k$ queries}~\cite{DBLP:conf/cikm/HuangWQZCH11,Ilyas:2008:STK:1391729.1391730,4221738} and \emph{skyline queries}~\cite{borzsony2001skyline,papadias2003optimal,tan2001efficient} have been used traditionally to return a representative subset $\mathcal{S}$ of a database...
1,477,468,750,714
arxiv
\section{Introduction} Understanding interface kinetics in materials is an important theoretical and practical problem, since this process influences the microstructure, such as the grain size, the texture, and the interface type. From the theoretical point of view, the study of processes that involve surface and int...
1,477,468,750,715
arxiv
\section{Introduction} Segmentation of organs or abnormal regions is a fundamental task in clinical applications, such as diagnosis, intervention and treatment planning. Deep learning techniques are driving progress in automating the segmentation task under the full-supervision paradigm \cite{milletari2016v,cciccek201...
1,477,468,750,716
arxiv
\section{Introduction} In this paper we investigate a class of nonconvex and nonsmooth optimization problems, where the penalty is the composition of a nonsmooth nonconvex mapping with a linear operator and the smooth part is a least squares type term. Similar optimization problems in the case where the operator i...
1,477,468,750,717
arxiv
\section{introduction} \label{sec:intro} The first detection of a binary-black hole merger, GW150914, opened the door to gravitational-wave astronomy \citep{ligovirgo2016}. The masses of the black holes, $\sim 29$ and $\sim 36M_\odot$, are larger than $\sim 10$--$15M_\odot$ previously expected from galactic observatio...
1,477,468,750,718
arxiv
\section{Introduction} Traditionally, atom tracking is used in chemistry to understand the underlying reactions and interactions behind some chemical or biological system. In practice, atoms are usually tracked using isotopic labeling experiments. In a typical isotopic labeling experiment, one or several atoms of ...
1,477,468,750,719
arxiv
\section{Introduction} Please follow the steps outlined below when submitting your manuscript to the IEEE Computer Society Press. This style guide now has several important modifications (for example, you are no longer warned against the use of sticky tape to attach your artwork to the paper), so all authors should r...
1,477,468,750,720
arxiv
\section{Introduction} The discovery of current cosmic accelerated expansion has stimulated many researchers to explore the cause of this tremendous change in cosmic history. A mysterious force known as dark energy (DE) is considered as the basic ingredient responsible for this expanding phase of the universe. D...
1,477,468,750,721
arxiv
\section{Introduction} As a natural extension of image style transfer, video style transfer has recently gained interests among researchers~\cite{chen2017coherent,gupta2017characterizing,huang2017real,ruder2016artistic,ruder2018artistic,anderson2016deepmovie,chen2018stereoscopic}. Although some image style transfer me...
1,477,468,750,722
arxiv
\section{Introduction} Most pulsars have a narrow duty cycle of emission (5-10 \% of pulsar period). This is generally consistent with the expectations of the angular width of the polar cap, given typical viewing geometries. However, there are a small but significant number of pulsars with unusually wide profiles...
1,477,468,750,723
arxiv
\section{Additional details of the RGSep-based logic} The unit $u_{\sf RGsep}$ does not restrict states and the allowed state transitions of the environment, while disallowing any action in the current thread: \[ u_{\sf RGsep} = ( \{ ([\ ], [\ ], [\ ]) \} \times ({\sf State} \times {\sf AState} \times {\sf Tokens}), (...
1,477,468,750,724
arxiv
\section{Introduction} It is generally believed that quantised enveloping algebras are not enveloping algebras; Chari and Pressley, for example, assert \cite[p. 258]{ChaP} that ``there is no quantum Lie algebra'' underlying a quantised enveloping algebra $U_q(\mathfrak{g})$. The purpose of this paper is to challenge t...
1,477,468,750,725
arxiv
\section{Introduction} In this article we consider a scalar-on-function historical linear regression model where the functional predictor $X_i(t), i=1,\ldots,n,$ is defined on a time interval $[0,T]$ but influences the scalar response $Y_i$ only on $[0,\delta]$ for some unknown cutoff time $\delta\leq T$. Specifically...
1,477,468,750,726
arxiv
\section{Introduction} \input{parts/part0-introduction} \section{The iteration framework}\label{sect:framework} \input{parts/part1-framework} \section{Preservation of hyperimmunity}\label{sect:hyperimmunity} \input{parts/part2-hyperimmunity} \section{Basic preservations of hyperimmunity}\label{sect:basic-hyperimmuni...
1,477,468,750,727
arxiv
\section{Introduction} The problem of stability of spacecrafts and underwater vehicles attracted numerous resources and led to the emergence of a significant number of theoretical studies. In this paper we consider an idealized dynamics of spacecrafts and underwater vehicles which is a Hamilton-Poisson system. Fo...
1,477,468,750,728
arxiv
\section{Introduction} \label{intro} The present paper is a sequel of a previous work\cite{borghiPRE-08} concerning the evaluation of saddle-point integrals of the form \begin{equation} \mathcal{I}(k)=\displaystyle\int_{\mathcal{C}}\, g(s)\,\exp[-k\,f(s)]\,\mathrm{d}s, \label{sd.1} \end{equation} where $\mathcal{C}$...
1,477,468,750,729
arxiv
\section{Introduction} Let $f_t$'s ($t\in[0,T)$) be a one-parameter $C^{\infty}$-family of immersions of a manifold $M$ into a Riemannian manifold $N$, where $T$ is a positive constant or $T=\infty$. Define a map $\widetilde f:M\times[0,T)\to N$ by $\widetilde f(x,t)=f_t(x)$ ($(x,t)\in M\times[0,T)$). If, for...
1,477,468,750,730
arxiv
\section{Introduction} The origin of energetic particles accelerated in solar events is still an open question. While flares and shocks driven by coronal mass ejections (CMEs) are believed to be two sources of solar energetic particle (SEP) acceleration in impulsive and gradual SEP events respectively \citep[e.g.][]{R...
1,477,468,750,731
arxiv
\section{Appendix}\label{sec:appendix} \begin{figure}[H] \centering \includegraphics[scale=0.5]{./Sections/Image/subtaska1.pdf} \caption{Macro-average F1-scores for sub-task A based on 10-fold cross validation. Asterisks indicate a statistically significant difference, where ** denotes 1e-04 ...
1,477,468,750,732
arxiv
\section{Extended Mott-Hagedorn resonance gas} \subsection{No quarks and gluons; hadronic spectral function with state-independent ansatz} We introduce the width $\Gamma$ of a resonance in the statistical model through the spectral function \begin{equation} \label{one} A(M,m)=N_M \frac{\Gamma \cdot m}{(M^2-m^2)^2+\Gamm...
1,477,468,750,733
arxiv
\section{Introduction}\label{intro} Let $\field$ be $\real$ or $\complex$. Throughout this paper, unless otherwise stated, all mappings are smooth (that is, of class $C^{\infty}$ if $\field$ = $\real$ or holomorphic if $\field$ = $\complex$). Let $S$ be a subset consisting of $r$ distinct points in $\field^n...
1,477,468,750,734
arxiv
\section{Introduction} Classically, there exist two main approaches to the theory of elliptic functions: the Jacobi approach based on the theory of theta-functions, and the Weierstrass approach. Each of these two pictures has its advantages and disadvantages when tackling a concrete problem, but essentially they are ...
1,477,468,750,735
arxiv
\section{Additional ablational results }In this section, We present more comparison results of the ablation experiments, showing the impacts of $L_{point}$ and $L_{line}$ respectively. In \refFig{fig:appendix_point_pascal} to \refFig{fig:appendix_point_city}, we visualize the category-level potential fields of the gro...
1,477,468,750,736
arxiv
\section{Surface states} \label{app:SS} \end{document}
1,477,468,750,737
arxiv
\section{Introduction} The early inflationary period of our universe is a phase of very rapid and nearly exponential accelerated expansion. This phase was proposed in order to resolve the three puzzles of the standard Big Bang cosmology -- the horizon problem, the flatness problem and the problem of the hitherto u...
1,477,468,750,738
arxiv
\section{Introduction} Organometallic complexes containing magnetic centers are currently under intense investigation for their potential uses as building blocks for nanotechnologies. Low-dimensional magnetic nanostructures have a high potential for applications in spintronics, magnetic recording and sensing dev...
1,477,468,750,739
arxiv
\section{Introduction} Dust in the universe can absorb and re-emit up to 30$\%$ of starlight in the infrared \citep{Hauser2001}. Hence, the formation of dust has become one of the most important topics in galaxy evolution. It is well known that there are two types of stellar sources that produce dust. Asymptotic gia...
1,477,468,750,740
arxiv
\section{Introduction} Let $S$ be a closed oriented surface of genus at least $2$ and let $\mathcal{T}(S)$ indicate the Teichm\"uller space of marked hyperbolic structures on $S$. Let $\gamma$ be the free homotopy class of an immersed curve on $S$, and consider $\ell(\gamma):\mathcal{T}(S)\to \mathbb{R}$, the hyperbo...
1,477,468,750,741
arxiv
\section{Introduction} \indent \indent It has been proved in \cite{ExtMod1} that the scope of the HLS model \cite{HLSRef,FKTUY}, suitably broken \cite{taupaper}, can be extended in order to include annihilation processes like $e^+e^- \ra (\pi^0/\eta) \gamma$, $e^+e^- \ra \pi^+ \pi^-\pi^0$ and decay spectra like $\et...
1,477,468,750,742
arxiv
\subsection{Proof of Asymptotic Characterization} \subsubsection{Convergence in Wasserstein Distance} \begin{comment} In this section, we first prove an intermediate result (Lemma \ref{lem:CGMT}) that leads to our asymptotic characterization in Theorem \ref{thm:asymp_char}. The main idea is to express limiting...
1,477,468,750,743
arxiv
\section{Introduction}\label{sec:introduction} Sound generation algorithms synthesize a time domain waveform. This waveform should be coherent and appropriate for its intended use. These waveforms can convey complex and varied information. Deep generative networks \cite{gm_comprehensive_2020} have demonstrated great p...
1,477,468,750,744
arxiv
\section{Experiments} \begin{figure}[tb] \renewcommand{\captionfont}{\small} \centering \includegraphics[scale=0.56]{figures/aless300.jpg} \caption{\textbf{Experiments on \cite{cimatti2016dynamic}'s benchmark from which DTNs and STNs have been removed.} The X-axis represents the allocated time in seconds and the Y-axi...
1,477,468,750,745
arxiv
\section{Introduction} The Anti-de Sitter spacetime is a maximally symmetric spacetime with negative constant curvature and a unique solution, which is strictly stationary, of Einstein's equations with a negative cosmological constant \cite{Boucher:1983cv}. In theoretical physics, the Anti-de Sitter spacetime has a cen...
1,477,468,750,746
arxiv
\section{Introduction} While graphene\cite{Novoselov2004} has proven to be a remarkable material, with electronic properties that are interesting from a fundamental\cite{Neto2009,Novoselov2005} as well as a technological viewpoint,\cite{Geim2007,Geim2009} the absence of a band gap severely limits its possible appl...
1,477,468,750,747
arxiv
\section{\large{Introduction}} \label{sec:Introduction} Let ${\mathcal S}(\RR^+)$ denote the space of restrictions to $\RR^+$ of functions in ${\mathcal S}(\RR)$. Say $0 \not\equiv f_0 \in {\mathcal S}(\RR^+)$, and let \[f(s) = sf_0(s).\] One then has the {\em Calder\'on formula} for $f$: if $c \in (0,\infty)$ is defi...
1,477,468,750,748
arxiv
\section{Introduction} The idea of robotic soccer games was proposed as a novel research topic in 1992, and since then the RoboCup has been considered as an annual international competition for developing new ideas in A.I. and robotics. This competition is formed of various leagues such as Rescue\cite{resque1,resque...
1,477,468,750,749
arxiv
\section{INTRODUCTION} \par A supersolid is a solid with superfluidity, and has been sought in recent decades in He II \cite{Andreev1969,Chester1970,Leggett1970,Matsuda1970,Boninsegni2012}. Recently it was created experimentally in an optical lattice \cite{Leonard2017,Li2017,Tanzi2019,Bottcher2019,Chomaz...
1,477,468,750,750
arxiv
\section{Introduction} \label{S-Intro} A liquid film flowing down a vertical fibre is often encountered in a wide variety of technological applications such as condensers, emergency cooling of nuclear fuel rods and optical fibre coating. It can also serve as a simple prototype for the study of wave instabilitie...
1,477,468,750,751
arxiv
\section{\label{sec:Intro}INTRODUCTION\protect\\} The 7-and-8 TeV run (Run 1) of the LHC has been a great success, but no New Physics (NP) has emerged. The hint of NP in the forward-backward asymmetry of $B\to K^*\ell^+\ell^-$ decay~\cite{Wei:2009zv} from the B factories was eliminated by LHCb~\cite{Aaij:2011aa} early...
1,477,468,750,752
arxiv
\section{Introduction \label{introduction} } The Caltech Faint Galaxy Redshift Survey, (henceforth CFGRS), is designed to measure the properties of field galaxies in the redshift interval $0.3\lesssim z\lesssim1.3$. It uses complete samples to a fixed limiting magnitude in a particular bandpass within a small solid...
1,477,468,750,753
arxiv
\section{Introduction}% The capillary interaction of liquids with soft solids is a ubiquitous situation in natural or technological settings~\cite{Andreotti:ARFM2020,Bense:2019,Chen:COCIS2018,Style:ARCMP2017}, ranging from droplets that interact with epithelia, for instance in the human eye~\cite{Holly:EER1971}, or epi...
1,477,468,750,754
arxiv
\section{Introduction} \label{sec:intro} A personalized recommendation, tailored to individual characteristics, is becoming increasingly popular in real life such as healthcare, education, e-commerce, etc. An optimal \textit{individualized treatment rule} (ITR) is defined as maximizing \textit{the mean value function ...
1,477,468,750,755
arxiv
\section{Introduction} The formation and growth of supermassive black holes (SMBHs) and their host-galaxies are related processes. This is supported by various observational signatures: the SMBH mass correlates with the mass of the bulge of the host-galaxy (\citealt{1998AJ....115.2285M,2003ApJ...589L..21M}), with the v...
1,477,468,750,756
arxiv
\section{Introduction} String/M theory has led to a rich web of non-perturbative dualities between supersymmetric field theories. Checking/exploiting/extending these dualities requires exact computations in field theories. In recent years, using methods based on localization, several exact quantities in supersymmetric ...
1,477,468,750,757
arxiv
\section{Introduction} Turbulence in compressible fluids is not well understood. One of the open questions is the existence of the so called inertial range, where the kinetic energy cascades (usually from large to small scales) without any losses. In the incompressible approximation hydrodynamic (HD) turbulence ty...
1,477,468,750,758
arxiv
\section{Introduction} By now, holography has established itself as one of the main tools used to gain insights into the out-of-equilibrium dynamics of strongly coupled field theories. Mapping the process of thermalization into black hole formation in asymptotically Anti-de Sitter (AdS) spacetime, gauge/gravity \cite{...
1,477,468,750,759
arxiv
\section{Introduction} Web applications constitute valuable up-to-date tools in a number of different cases. One such case is their use in the management of environmental problems so as to protect civilians from any unfortunate consequences that these problems can cause. Their evolution, therefore, has been especially...
1,477,468,750,760
arxiv
\section{Introduction} \label{s1} The Hamiltonian or canonical approach to quantum gravity \cite{1} aims at implementing the constraints as operators on a Hilbert space. In the classical theory, the constraints generate the Einstein equations via the Hamiltonian equations of motion \cite{2}. They underlie the numeric...
1,477,468,750,761
arxiv
\section{Introduction} \noindent Spectroscopy is a fundamental exploratory tool in the study of astronomy to investigate plasma components, density, and temperature in stars, planets, interstellar material, etc. A diffraction grating is an important spectroscope component exhibiting a periodic structure that diffracts ...
1,477,468,750,762
arxiv
\section{Introduction}} Heavy ion collisions have been used to study the Quark Gluon Plasma (QGP) phase transition into a hadronic gas [1--4] for more than a decade. The phase transition was initially assumed to be either first or second order [5--8], but the quantum chromodynamics (QCD) calculations proved that...
1,477,468,750,763
arxiv
\section{Conclusions} \label{sec:conclusions} In this paper, we demonstrate the spontaneous apsidal clustering of orbits of low mass bodies in $N$-body simulations of a primordial scattered disk between $\sim$100--1000 AU. As in \citet{zderic2020a}, we find that apsidal clustering begins after the inclination instab...
1,477,468,750,764
arxiv
\section{\label{sec:introduction} Introduction} In a quantum wire (quasi-one-dimensional geometry), the quantities of interest, such as conductance, are not selfaveraging. \cite{dittrich97} Thus, a statistical description of a variety of quantum effects, such as universal conductance fluctuations, requires the conduc...
1,477,468,750,765
arxiv
\section{Introduction} Topological insulators (TIs) are a class of materials that are currently the focus of considerable attention since they represent a new state of matter in which the bulk is an insulator with an "inverted" energy gap induced by a strong spin-orbit coupling (SOC), which leads to the emergence of un...
1,477,468,750,766
arxiv
\section{Introduction} In this paper, we study symbiotic bright solitary wave solutions of two-component system of time-dependent nonlinear Schr\"{o}dinger equations called Gross-Pitaevskii equations given by \begin{equation}\label{1.3}\left\{\begin{array}{l} i \hbar\partial_t\psi_1=-\frac{\hbar^2}{2m}\Delta\psi_1+\t...
1,477,468,750,767
arxiv
\section{Introduction} Cavity optomechanical systems offer a new arena for studying nonlinear optics, the quantum behavior of massive objects, and possible connections between quantum optics and condensed matter systems \cite{2007_OpticsExpress_Kippenberg_Vahala, Marquardt2009Optomechanics, Heinrich2011Collective, Pik...
1,477,468,750,768
arxiv
\section{Introduction} The \ftime{generalized hypergeometric series} $ \texthyper{p}{q}% {\alpha_1,\ldots,\alpha_{p}} {\beta_1,\ldots,\beta_q}{x} $ is defined by \begin{equation}\label{E:hser_pre} \hyper{p}{q}% {\alpha_1,\alpha_2,\ldots,\alpha_{p}} {\beta_1,\beta_2,\ldots,\beta_q}{x} \coloneqq \sum_{n=0...
1,477,468,750,769
arxiv
\section{Introduction} \label{sec:intro} A {\em generalised $d$-gon} is a point--line incidence geometry $\Gamma$ whose bipartite incidence graph has diameter $d$ and girth $2d$. If each point of $\Gamma$ is incident with at least three lines, and each line is incident with at least three points, then $\Gamma$ is sai...
1,477,468,750,770
arxiv
\section*{Acknowledgments} \ifCLASSOPTIONcaptionsoff \newpage \fi \newpage \bibliographystyle{plainnat} \section{Introduction} \label{sec:intro} Soft continuum manipulator arms are lightweight, cheap to make, and their inherent compliance carries the promise to enable safe interaction with humans, delicate obje...
1,477,468,750,771
arxiv
\section{Introduction} In a recent paper\cite{evans-99-2} we considered the collection of decays $B^+\to D_{s,d}^{(*)+}e^+e^-$. The decay rate for these is proportional to $|V_{ub}|^2$. We found that over a large kinematic domain one can reliably estimate the rate (in terms of $|V_{ub}|^2$). The process is first order ...
1,477,468,750,772
arxiv
\subsection{Proof strategy} To establish the posterior concentration rate for $\Psi$ and $\Omega$, we followed \citet{Ning2020} and \citet{Bai2020_groupSSL} and first showed that the posterior concentrates in log-affinity (see Section~\ref{sec:log_affinity_to_sieve} in the Supplementary Materials for details). Posteri...
1,477,468,750,773
arxiv
\section*{Introduction} The method of implicitization via moving hypersurfaces of rational parameterized varieties developed by Sederberg and his collaborators in the 90's (cf. \cite{SGH97, CGZ00} and the references therein) can be properly formulated and studied via the Rees algebra of the input data, as shown in \cit...
1,477,468,750,774
arxiv
\section{Introduction} \subsection{} Let $\U =\U^-\U^0\U^+$ be a Drinfeld-Jimbo quantum group (of finite type). There are several remarkable bases for $\U^-$, known as PBW basis and canonical basis. The PBW basis is orthogonal with respect to a natural bilinear form on $\U^-$, providing an approach to the constructio...
1,477,468,750,775
arxiv
\section{Introduction} \label{Intr} Interaction between pairs of quasiparticles often leads to broken-symmetry ground states in solids. Typical examples are the formation of Cooper pairs in superconductors, or charge (CDW) and spin (SDW) density waves driven by electron-phonon and electron-electron interaction...
1,477,468,750,776
arxiv
\section{Introduction} The ability to monitor the gamma-ray sky continuously is extremely important. The majority of gamma-ray sources are variable, exhibiting flares and transient outbursts on time scales from seconds to years. While there are currently several all-sky monitors in the hard X-ray energy range providi...
1,477,468,750,777
arxiv
\section{The group action case}\label{sec:actioncase} In this section we consider the action of a compact Lie group $G$ on a complete bornological algebra $A$ and then specialize to the case where $A$ is the algebra of smooth functions on a smooth $G$-manifold $M$. The general assumption hereby is always that the acti...
1,477,468,750,778
arxiv
\section{Introduction} Generalized K\"ahler geometry and generalized Calabi-Yau structures first arose from investigations into supersymmetric sigma models \cite{Gates}. These structures were rediscovered in the work of Hitchin \cite{Hitchin}, growing out of a search for special geometries defined by volume functiona...
1,477,468,750,779
arxiv
\section{Introduction} The rod-shaped bacterium \textit{Escherichia coli} usually divides in the center of its long axis between the two segregated copies of its chromosome. The position of the division plane is determined by the Z-ring, a structure built from the protein FtsZ, which is associated with the cytopla...
1,477,468,750,780
arxiv
\section{Introduction} Jammers typically aim to cause a denial of service (DoS) or reduction of quality (RoQ) at the receiver \cite{orakcal2014jamming} without getting detected. They exploit the wireless transmission by mixing their signals with legitimate communication. As a result, the received frame becomes undeco...