uuid
int64
541B
3,299B
dataset
stringclasses
1 value
text
stringlengths
1
4.29M
1,116,691,497,915
arxiv
\section{Introduction} One of the unresolved problems in the theory of nuclear structure is the description of ground state properties and excitation phenomena for heavier nuclei, based on realistic nucleon-nucleon (NN) interactions which reproduce the NN scattering data~\cite{Sto.93,Mac.89,Wir.95}. The use of these r...
1,116,691,497,916
arxiv
\section{Introduction} Top quark physics at hadron colliders plays an important role in testing the Standard Model of particle physics and its possible extensions. In the Standard Model the top quark has a very short lifetime, $\tau_{\nicefrac{1}{2}}\approx\unit[5\times10^{\textrm{-}25}]{s}$, therefore the definite s...
1,116,691,497,917
arxiv
\section{Introduction} First report of field emission from carbon NTs had appeared a decade ago\cite{Science0}. It was followed by a demonstration \cite{sourse} that arrays of NTs can be patterned into emitting and non-emitting regions. Since then, the field emission properties of carbon NTs command a steady interes...
1,116,691,497,918
arxiv
\section{Linear-Response Time-Dependent Density Functional Theory and its Ion-Orbital Variant}\label{sec:OOTDDFTSI} The standard time-dependent density functional theory (TDDFT) orbital Hessians are used for the ``ion-orbital'' TDDFT approach, albeit from a nonstationary {\em n}-electron reference state that is constr...
1,116,691,497,919
arxiv
\section{Introduction} It has now become an accepted fact that the expansion of the universe is accelerating due to an exotic energy source having large negative pressure called dark energy (DE). But the mystery is that, a little is known about dark energy: it violates strong energy condition and can cluster at large s...
1,116,691,497,920
arxiv
\section{Introduction} \label{sec:Sec1} The existence of different anomalous astrophysical and cosmological phenomena like the cosmic acceleration, the dynamics of galaxies and gas in clusters of galaxies, the galactic rotation curves, etc. recently boosted the growth of several long-range modifications of the usual l...
1,116,691,497,921
arxiv
\section{Introduction \label{INTROD}}\leavevmode\hbox to\parindent{\hfill} In this paper we will consider the $\SL2$ current algebra at level $k=-4$. The BRST operator is then nilpotent quantum-mechanically without the introduction of an auxiliary set of currents, and the cohomology problem can be posed for the algebra...
1,116,691,497,922
arxiv
\section{Introduction} Demand Response (DR), in which a utility company or an aggregator motivates customers to curtail their power usage, has now become an acceptable method in situations where high peaks in demand occur, transmission congestion increases, or some power plants are not available to generate enough powe...
1,116,691,497,923
arxiv
\section{Introduction} Integrability has been the driving force behind the recent years' progress in the study of the spectral problem of the $AdS_5/CFT_4$ correspondence~\cite{Minahan:2002ve,Beisert:2003tq, Bena:2003wd}. Integrability is conjectured to hold in all sectors to all loop orders~\cite{Beisert:2003tq,Beise...
1,116,691,497,924
arxiv
\section{Introduction} A proxy, or wrapper, is an object that mediates access to an arbitrary target object. Proxies are widely used to perform resource management, access remote objects, impose access control \cite{VanCutsem:2010:PDP:1869631.1869638,Keil:2013:EDA:2508168.2508176}, restrict the functionality of an ob...
1,116,691,497,925
arxiv
\section{Introduction} Let $G$ be a split semisimple linear algebraic group over a field $F$. The purpose of the present paper is to relate together three different topics: the {\em geometry} of twisted $G$-flag varieties, the theory of {\em cohomological invariants} of $G$ and the {\em representation theory} of $G$. ...
1,116,691,497,926
arxiv
\section{Introduction} The radio emission of core-dominated, radio-loud Active Galactic Nuclei (AGN) is synchrotron radiation generated in the relativistic jets that emerge from the nucleus of the galaxy, presumably along the rotational axis of a central supermassive black hole. One important source of information a...
1,116,691,497,927
arxiv
\section{Introduction} Voltage controlled spin precession (see ~\cite{koo_st_09} and references therein), proposed in 1990 ~\cite{datta_das_90}, posed two difficult challenges namely (1) spin-polarized injection into a semiconducting channel, and (2) gate control of the Rashba spin-orbit interaction (RSO) in the channe...
1,116,691,497,928
arxiv
\section{Introduction} The experimental and theoretical studies on itinerant electron ferromagnetism address one of the crucial problems in condensed matter physics (for reviews, see Ref.\ \onlinecite{vollhardt1999metallic}). One of the most important experimental tools to get direct insight into the electronic st...
1,116,691,497,929
arxiv
\section{Introduction} The conformal symmetry in one dimension is so powerful, that in the one particle case it completely fixes the potential to be $1/x^2$ \cite{AFF}. The supersymmetric extensions of conformal mechanics \cite{n2,IKL1} add to the theory some fermions interacting with the single bosonic field $x$, but ...
1,116,691,497,930
arxiv
\section{Introduction}\label{S1} Although the primary aim of $Kepler$ mission is to detect transiting planets by obtaining very high precision photometric measurements, it provides further benefits, especially in terms of clear and reliable determination of very small amplitude light variation on eclipsing and intri...
1,116,691,497,931
arxiv
\section{Introduction} \label{sec:introduction} Convolutional neural networks (CNNs) are one of the most popular deep learning structures. These models are consisted of many layers with different functionalities to perform some tasks that are usually difficult for the traditional algorithms \cite{CNN1} \cite{CNN3}. CNN...
1,116,691,497,932
arxiv
\section{Introduction} \label{sec:intro} Model-free reinforcement learning (RL) has been successfully applied to a range of challenging problems \cite{kober2012reinforcement,deisenroth2013survey}, and has recently been extended to handle large neural network policies and value functions \cite{mnih2015human,lillicrap20...
1,116,691,497,933
arxiv
\section{Introduction} The Internet of Things (IoT) is an emerging technology which envisions to connect billions of ``things" to the Internet. This enables numerous applications in diverse areas such as smart home, e-Health, and smart city. Low-power and Lossy Networks (LLNs) play an indispensable role in realizing ...
1,116,691,497,934
arxiv
\section{Introduction} \input{intro} \section{ATLAS detector} \input{detector} \section{Lepton reconstruction} \input{e_reco} \input{mu_reco} \section{Event selection} \input{e_selection} \input{mu_selection} \input{exp_bg} \input{simulation} \input{data_driven} \section{Systematic uncertainties} \input{systemat...
1,116,691,497,935
arxiv
\section{Introduction} \label{introduction} Understanding the mechanism by which protoplanetary discs are dispersed is important, in particular, because it constrains the timescale within which planets can form \citep{2001ApJ...553L.153H, 2003ApJ...598L..55R}. Based on the discovery of discs with inner holes \citep{20...
1,116,691,497,936
arxiv
\section{Introduction}\label{sec1} Interferometric techniques have been used in optical astronomy for over a hundred years in view of their potential to achieve the highest angular spatial resolution \cite{1Michelson1921}. Different interferometric techniques are under continuous development for use in both ground-bas...
1,116,691,497,937
arxiv
\section{INTRODUCTION} Over the last decade there have been several studies investigating the fate of relativistic symmetries at the Planck scale (see, {\it e.g.}, Refs.\cite{amelino2013quantum,magueijo2003generalized,amelino2012fate}). Particular interest has been devoted to scenarios such that the (inverse of the) P...
1,116,691,497,938
arxiv
\section{Introduction} Anomalies are image regions not conforming with the rest of the image. Detecting them is a challenging image analysis problem, as there seems to be no straightforward definition of what is (ab)normal for a given image. Anomalies in images can be high-level or low-level outliers. High-level ...
1,116,691,497,939
arxiv
\section{Introduction} \subsection{Multi-Agent Reinforcement Learning in Energy Systems} With the increased controllability of power consumption and generation at the edge of modern power systems, devising centralized control approaches to manage flexible devices within these systems is becoming nearly impossible. In ...
1,116,691,497,940
arxiv
\section{Introduction} Future wireless communication systems are envisioned to provide high data-rate communication services \cite{wong2017key}. Inspired by recent advances in electromagnetic metamaterials, revolutionary new metasurfaces, called intelligent reflecting surfaces (IRSs) have been proposed for deployment i...
1,116,691,497,941
arxiv
\section{Introduction} The existence of cold dark matter in the universe is well--established by recent astrophysical observations. While the particle nature of dark matter remains a mystery, its effect of promoting structure formation via hierarchical formation of gravitational potential wells from primordial densit...
1,116,691,497,942
arxiv
\section{Preliminaries} Here we present some supplemental lemmas and define some notations to be used throughout the proof. We write a target quantum state, which is a pure state to be approximated by a PQC, as $|\phi\rangle$ and let the actual circuit output be $|\psi(\bm{\theta})\rangle$. We may simply write $|\psi\...
1,116,691,497,943
arxiv
\section*{Introduction} Recently, Smith studied in \cite{Sm} a remarkable graded Calabi-Yau algebra $B$ of dimension 3 constructed from the octonions. Amongst other things, Smith proved that $B$ is a graded Ore extension of an Artin-Schelter regular algebra of global dimension 2 and uses that fact to show that $B$ i...
1,116,691,497,944
arxiv
\section[Introduction]{Introduction} \label{introduction} Since J. Fourier's introduction of his \emph{M\'emoire sur la propagation de la chaleur dans les corps solides} in 1807, the theory of what is now called Fourier Analysis shown its importance, not only from the purely theoretical point of view but also from the...
1,116,691,497,945
arxiv
\section{Introduction} \label{s1} In the present paper we study a relation between the Lorentzian twistor equation and CR-geometry. Besides the Dirac operator there is a second important conformally covariant differential operator acting on the spinor fields $\Gamma(S)$ of a smooth semi-Riemannian spin manifold $(M,g)...
1,116,691,497,946
arxiv
\section{\@startsection{section}{1}{\z@}{-3.25ex plus -1ex minus -.2ex}{1.5ex plus .2ex}{\normalsize\bf}} \renewcommand\subsection{\@startsection{subsection}{2}{\z@}{-3.25ex plus -1ex minus -.2ex}{1.5ex plus .2ex}{\normalsize\bf}} \renewcommand\subsubsection{\@startsection{subsubsection}{3}{\z@}{-3.25ex plus -1ex minus...
1,116,691,497,947
arxiv
\section{Introduction} One of the central challenges in graph theory is to determine the extremal and typical properties of the family of $H$-free graphs on $n$ vertices. For non-bipartite graphs, an enormous amount of progress has been made on this problem; for bipartite graphs, on the other hand, surprisingly little...
1,116,691,497,948
arxiv
\section{Introduction} \setcounter{equation}{0} Irreversible deposition processes of colloidal particles or macromolecules on solid surfaces have received considerable attention during the last years. Both the adsorption (or deposition) kinetics and the structure of the assembly of deposited particles have been ana...
1,116,691,497,949
arxiv
\section{Introduction} In Standard Model (SM), the most general weak basis~(WB) transformation~\cite{b2}, that leaves the physical content invariable and the up- and down-quark mass matrices $M_{u}$ and $M_{d}$ Hermitian~\footnote{The quark mass matrices are Hermitian due to the polar decomposition theorem, where the ...
1,116,691,497,950
arxiv
\section{Introduction} The discrete version of the potential modif\/ied KdV equation that we want to investigate in this paper is the nonlinear partial dif\/ference equation \begin{gather}\label{d-p-mKdV-1} Q(v,v_1,v_2,v_{12};a_1,a_2)\equiv a_1(vv_2-v_{1}v_{12})=a_2(vv_1-v_2v_{12}). \end{gather} The notation we adopted...
1,116,691,497,951
arxiv
\section{Conclusions} In this paper, we apply a distributed Kiefer-Wolfowitz algorithm to a wireless network optimization problem. We address the distributed tuning of contention windows in WiFi networks and show that nodes can learn the proper contention windows values yielding proportional fair resource allocati...
1,116,691,497,952
arxiv
\section{Introduction} Quantization of electromagnetic field theory is a textbook task\ct{wheeler}. However, quantization using canonical formulation faces two conflicting requirements: 1)the theory is gauge invariant; 2) there is lower bound to the free field energy. A obvious result from the confliction is that we al...
1,116,691,497,953
arxiv
\section{Introduction} Variational ideas play an important role in various areas of mathematical General Relativity ---e.g. in the ADM formalism \cite{ArnDesMis62}, in the analysis of Penrose-like inequalities \cite{Mar09} or in the analysis of area-angular momentum inequalities \cite{Dai12} to mention some. Simi...
1,116,691,497,954
arxiv
\section{Introduction} In the current framework of the $\Lambda$CDM cosmological model, the possibility that dark matter (DM) annihilation effects may impact stellar evolution has recently received renewed attention. After the original works of Bouquet, Dearborn, Freese, Gould, Griest, Krauss, Olive,Press, Raffelt,...
1,116,691,497,955
arxiv
\section{Introduction} The inverse kinematic (IK) problem in computational kinematics involves finding joint values of a manipulator for a specified position and orientation of its end-effector tool. The development of computer algebra systems led to notable improvements of obtaining solutions to this problem. Cha...
1,116,691,497,956
arxiv
\section{Introduction} Investigation of the reaction fronts formed in the reaction-diffusion processes of the type A $+$ B $\to$ 0\ with initially separated species A and B has attracted a lot of recent interest. This is due to the fact that not only the kinetics of such systems exhibits many surprising features \cite...
1,116,691,497,957
arxiv
\section{Introduction} A detailed and physically self-consistent modelling of post Main Sequence (MS) stellar evolution has been a challenging effort of theoretical astrophysics since the decade of the sixties \citep[see, e.g.][and references therein for a documental overview of the relevant pioneering works since t...
1,116,691,497,958
arxiv
\section{Introduction} The entanglement plays a key role in the main tasks of quantum information\cite{Nielsen00, Amico07}. In practice, entangled qubits need be accessed individually for measurements. Consequently, they are well separated in space. Recently, the long-distance entanglement \cite{Venuti06, Hartmann06} ...
1,116,691,497,959
arxiv
\section{Introduction} IGR J19294+1816 was discovered by the INTErnational Gamma-Ray Astrophysics Laboratory (INTEGRAL) using IBIS/ISGRI camera at R.A.=292.42 deg and Dec=+18.28 deg ($\pm$3' at 68\%, J2000) on 2009 March 27 \citep{2009ATel.1997....1T}. Follow up analysis of the Swift archival data by \citet{2009ATel.1...
1,116,691,497,960
arxiv
\section{\label{sec:level1}First-level heading:\protect\\ The line break was forced \lowercase{via} \textbackslash\textbackslash} This sample document demonstrates proper use of REV\TeX~4.1 (and \LaTeXe) in manuscripts prepared for submission to AIP journals. Further information can be found in the documentation inclu...
1,116,691,497,961
arxiv
\section{Introduction, Background and Related Works} \section{Introduction and related works} The use of processors based on multi- and many-core architectures is a common option in High Performance Computing (HPC). Several variants of these processors exist, differing mainly in the number and architecture of the core...
1,116,691,497,962
arxiv
\section{Introduction} Qualitative numerical problems (QNPs) are classical planning problems extended with non-negative numerical variables $X$ that can be decreased of increased ``qualitatively'', i.e., by random amounts. Since such numerical variables cannot be used for counting, QNP planning, unlike most other...
1,116,691,497,963
arxiv
\section{Introduction}\label{sec:intro} Although many astrophysical observations indicate the existence of dark matter~\cite{Young2016}, it has yet to be observed in the laboratory. While it is possible that dark matter has only gravitational interactions, many compelling models of new physics contain a dark matter c...
1,116,691,497,964
arxiv
\section{Introduction} In our previous papers [1-6] published recently, a time-independent novel perturbation theory has been developed in the bound state domain, which is non-perturbative, self-consistent and systematically improvable, and used to treat successfully significant problems in different fields of physic...
1,116,691,497,965
arxiv
\section{Generalization to multi-parameter and joint expansion in $\mathbf{\emph{T}}$ and $\pmb{\mu_B}$} Our starting point for the multi-parameter expansion is \autoref{eq:rw}. There, the expectation value is taken over gauge fields associated with $\{\beta_0, m_0, \mu_B=0\}$, where $\beta$ is the QCD gauge coupling,...
1,116,691,497,966
arxiv
\section{Introduction \label{intro_sec}} We use standard graph theoretic and discrete geometric notation and terminology, which may be found in~\cite{Bol98, Die05} and ~\cite{Mat02, Sch98} respectively. All graphs in this paper are finite and have no loops although they may be directed or have multiple edges (multi-gra...
1,116,691,497,967
arxiv
\section{Introduction} As usual, a {\it convex body} of the Euclidean space $\mathbb{E}^d$ is a compact convex set with non-empty interior. Let $\mathbf{C}\subset\mathbb{E}^d$ be a convex body, and let $H\subset\mathbb{E}^d$ be a hyperplane. Then the distance $w(\mathbf{C} , H)$ between the two supporting hyperplanes ...
1,116,691,497,968
arxiv
\section{#1} \setcounter{equation}{0}} \renewcommand{\theequation}{\thesection.\arabic{equation}} \begin{document} \title{On the hidden mechanism behind non-uniqueness for the anisotropic Calder\'on problem with data on disjoint sets} \author{Thierry Daud\'e \footnote{Research supported by the Fre...
1,116,691,497,969
arxiv
\section{Introduction} \label{sec:intro} Exceptionally high gas-to-stellar mass ratio systems are of particular interest in extragalactic astronomy as they represent one extreme of galaxy formation, namely some of the lowest mass objects that succeed in forming any stars. Blind radio surveys of neutral hydrogen (H\,{...
1,116,691,497,970
arxiv
\section{INTRODUCTION} After the JILA experiments on two hyperfine states of $^{87}$Rb \cite{Hall1998}, the coupled Bose-Einstein condensates (BEC) became a highly useful artificial model for studying a wide variety of real condensed matter systems. The study of miscibility-immiscibility phase transition \cite{Jain2...
1,116,691,497,971
arxiv
\section{Introduction} Astronomy has moved into a new golden era with the historic measurements of gravitational waves (GW) from the binary coalescence of black holes \cite{PhysRevLett.116.061102,PhysRevLett.116.241103,PhysRevLett.118.221101,2041-8205-851-2-L35,PhysRevLett.119.141101} and neutron stars \cite{2017PhRvL...
1,116,691,497,972
arxiv
\section*{Introduction} An $n$-dimensional L\'evy process is a stochastic process $X=(X_t)_{t\geq 0}$ with values in ${{\mathds R}^n}$, with independent and stationary increments, and with c\`adl\`ag (right-continuous, finite left limits) sample paths. It is well known that the transition probability $p_t$ of a L\'evy ...
1,116,691,497,973
arxiv
\section{Introduction} Strongly-correlated systems show fascinating physical properties, like coexistence of magnetic and charge correlations\cite{High-Tc1}, high-temperature superconductivity\cite{High-Tc1,High-Tc2,High-Tc}, Hund metal behavior\cite{Hund}, etc. Local correlations, which appear due to the (non-)...
1,116,691,497,974
arxiv
\section{Introduction} Accurately predicting the properties of molecules lies at the core of fundamental tasks in the chemical and pharmaceutical communities. In light of deep learning, several supervised models have been investigated to learn molecular representations through predicting molecular properties~\cite{DBLP...
1,116,691,497,975
arxiv
\section{Introduction} As the scale of parallel computers constantly grows, it becomes increasingly difficult for application developers to maintain strong-scalability. For example, on the Summit supercomputer at Oak Ridge National Laboratory, on the order of 100 million operations need to be executed simultaneously in...
1,116,691,497,976
arxiv
\section{Introduction} If $V = \C^d$ denotes the natural module for the complex general linear Lie algebra $\gl_d$, Schur--Weyl duality states that the natural actions of $\gl_d$ and the symmetric group $\fS_k$ on $V^{\otimes k}$ commute and generate each other's centralizers. This classic result can be extended to t...
1,116,691,497,977
arxiv
\section{appendix} Following are the implementation details. The word embeddings are initialized from GloVe~\citep{pennington2014glove:emnlp2014}. During training, they are not updated. The word embeddings not found in GloVe are initialized with zero. The dimensionality $l$ of the hidden layers is set to be 150. We...
1,116,691,497,978
arxiv
\section{Introduction} \label{sec:introduction} Seven confirmed planets have been found orbiting six binary stars \citep{Doyle11, Orosz12a, Orosz12b, Welsh12, Schwamb13}, igniting interest in the possibility of terrestrial planets in circumbinary radiative habitable zones (RHZs) \citep{Mason12, Kane13, Clark13}. Plan...
1,116,691,497,979
arxiv
\section{Introduction}\label{sec:intro} The extension of mirror symmetry for Fano varieties beyond the toric context, where it is well-understood due to foundational work by Hori--Vafa \cite{horivafa}, Givental \cite{Givental98}, Lian--Liu--Yau \cite{lian} and others, is an area of active research. Grassmannians and fl...
1,116,691,497,980
arxiv
\section{Introduction} The analysis of the experimental data associated to the production of the quark-gluon plasma (QGP) in heavy ion collisions at RHIC (Brookhaven, USA) and LHC (CERN) is interpreted, despite the large errors involved, as an evidence that this state of matter is a strongly interacting fluid at high...
1,116,691,497,981
arxiv
\section{Introduction} Methods involving monotone evolution of simply connected domains in the plane have been successfully applied to a range of problems in complex analysis. The Riemann mapping theorem and the notion of Carath\'eodory convergence allow to encode the dynamics by a continuous family of conformal m...
1,116,691,497,982
arxiv
\section{Introduction} Supernova 2011fe was discovered soon after explosion in the nearby galaxy M101 (NGC~5457) by the Palomar Transient Factory \citep{rau09,law09} on 2011 August 24.167 UT (all calendar dates herein are UT) and rapidly classified as a supernova of Type Ia (SN Ia) \citep[][identified initially as PTF...
1,116,691,497,983
arxiv
\section{Introduction} Magnetohydrodynamics is that part of the mechanics of continuous media which studies the motion of electrically conducting media in the presence of a magnetic field. The dynamic motion of fluid and magnetic field interact strongly on each other, so the hydrodynamic and electrodynamic effects a...
1,116,691,497,984
arxiv
\section{Introduction} Non-equilibrium physical systems can be divided into two categories: active and externally driven matter. In active matter, energy is injected internally and continuously to the system~\cite{Marchetti13,review3}. Typical examples of active matter include suspensions of microswimmers~\cite{Palac...
1,116,691,497,985
arxiv
\section{Introduction} The global organization of complex molecular interactions within and across cells is being disclosed by the graph-theoretic approaches~\cite{Barabasi:2004uq,tilee02,Rual:2005kx,Ma22012003}. The obtained cellular networks exhibit universal topological features which are rarely found in ran...
1,116,691,497,986
arxiv
\section{Introduction}\label{sec:intro} \noindent Dissipative Kerr soliton (DKS), as a self-reinforcing wave packet that maintains its shape while circulating around a microresonator, has been demonstrated under a double balance between nonlinearity and dispersion, as well as parametric gain and cavity loss \cite{doi:1...
1,116,691,497,987
arxiv
\section{Introduction} Graphical calculi enable reasoning about quantum computation in an intuitive yet rigorous way. Calculi based on string diagrams are more flexible than circuit-style languages, allowing the description of states and measurement projections as well as unitary operations in one unified framewo...
1,116,691,497,988
arxiv
\section{ Introduction} \bigskip Let $k$ be a field. For an algebraic $k$-variety $\mathbb X$ we write $X(k):=\mathbb X (k)$. To simplify notations we often write $X$ instead of $X(k)$. In particular we write $V:=\mathbb V (k)$ when $\mathbb V$ is a vector space and write $k^N$ for $\mathbb A ^N(k)$. For a $k$-...
1,116,691,497,989
arxiv
\section{Introduction} The microscopic world is filled with examples of rigid structures that interact with each other as they move through fluids. In the biological context, these can range from very dense systems such as bacterial swarms \cite{Darnton2010}, where steric interactions are important, to regularly-spaced...
1,116,691,497,990
arxiv
\section{Introduction} This document serves as an example submission. It illustrates the format we expect authors to follow when submitting a paper to ECCV. At the same time, it gives details on various aspects of paper submission, including preservation of anonymity and how to deal with dual submissions, so we advis...
1,116,691,497,991
arxiv
\section{Introduction} In some large E-COMMERCE, for example TABAO, AliExpress, the recommend algorithm is divided into two stages, i.e. the stage "match" and the stage "rank". In the stage "match", we need select item set with size $O(10^2 \sim 10^3)$ from all the items. In the stage "rank", we compute a score for ...
1,116,691,497,992
arxiv
\section{Introduction} The dynamics of SU($N$) gauge theories with adjoint fermions is expected to depend crucially on the number of flavors $N_f$. This is suggested by inspecting the $N_f$ dependence of the beta function $\beta$. The first two coefficients of $\beta$ expressed in terms of 't Hooft coupling $\l...
1,116,691,497,993
arxiv
\section{Introduction} \label{sec:intro} The systematic computation of various classes of on-shell scattering amplitudes has become a very active field of research in the past few decades, and several very efficient methods have been put forward, which involve spinor helicity formalism, on-shell recursion relations, ...
1,116,691,497,994
arxiv
\section{Introduction} \label{intro} A deep understanding of the proton structure is one of the most important topics in modern particle physics. A precise knowledge of the Parton Distribution Functions (PDFs) of the proton is essential in order to make predictions for the Standard Model and beyond the Standard Model...
1,116,691,497,995
arxiv
\section{Introduction} \label{sec:introduction} The widespread availability and ease of use of Online Social Networks (OSN) have made them the ideal setting for the proliferation of fictitious and malicious accounts~\cite{liu2014}. Indeed, recent work uncovered the existence of large numbers of OSN accounts that are p...
1,116,691,497,996
arxiv
\section{Introduction} Wealthy individuals tend to become even wealthier \citep{piketty2015capital}, popular websites become even more popular \citep{barabasi1999emergence}, and highly cited papers overshadow less cited ones, earning more future citations \citep{price1976general,redner1998popular}. Social and techno...
1,116,691,497,997
arxiv
\section{Introduction} \input fig1 In a series of conference papers appeared in the past two years, Bruzual (2004, 2005), I present evolutionary population synthesis models which are identical in all respects to the \citet{BC03} models, hereafter BC03, except in the stellar library used. BC03 use the STELIB library ...
1,116,691,497,998
arxiv
\section{Introduction} Portfolio theory pioneered by Markowitz in 1950's \cite{markowitz1952portfolio} is at the center of theoretical developments in finance. The mean-variance model tells investors should hold a portfolio on the efficient frontier which trade off portfolio mean (return) against variance (risk). I...
1,116,691,497,999
arxiv
\section{Introduction} Detecting signals embedded in noise is a challenge in many research and engineering areas. In the common case of Gaussian noise the standard tool is the matched filter (MF) \citep{tuz01, min02, osc02, bri04, lev08, yao13}. According to the Neyman-Pearson theorem, the MF provides the greatest p...
1,116,691,498,000
arxiv
\section{Introduction} It has become a clich\'e to say that coherent states abound in quantum physics \cite{1}. Moreover, it turns out that they can also be applied in the theory of quantum deformations \cite{2} and even in the theory of classical dynamical systems \cite{3}. In spite of the fact that the problem of t...
1,116,691,498,001
arxiv
\section{Introduction} \label{Introduction} The study of matchings in cubic graphs has a long history in combinatorics, dating back to Petersen's theorem~\cite{konig}. Recently, the problem has found several applications in computer graphics and geographic information systems~\cite{biedl01,gopi04,remacle11,daniels1...
1,116,691,498,002
arxiv
\section{Introduction} The various versions of the two-dimensional sigma models are among the most important and best studied models of quantum field theory. On one hand, such models possess important symmetries, in particular conformal invariance. On the other hand, they can be analyzed in detail with difficult, but c...
1,116,691,498,003
arxiv
\section{Introduction}\label{section:introduction} \marginpar{MG: introduction edits} The discovery of binary asteroids has led to considering dynamical models formed by four bodies, two of them being typically the Sun and Jupiter. Among possible four-body models (see also \cite{HOWELL1986,scheeres1998restricted,gabe...
1,116,691,498,004
arxiv
\section{Introduction} \label{sec:intro} \begin{figure}[h] \setlength{\belowcaptionskip}{-0.4cm} \centering \includegraphics[width=1.0\linewidth]{teaser_TTVSR.pdf} \vspace{-0.6cm} \caption{A comparison between TTVSR and other SOTA methods: MuCAN~\cite{li2020mucan} and IconVSR~\cite{chan2021basicvsr}. We intro...
1,116,691,498,005
arxiv
\section{Introduction} One of the most important goals of investigating strong interaction physics is to understand the of hadrons and hadronic interactions on the basis of quantum chromodynamics (QCD). Shifman, Vainshtein and Zakharov proposed the method of the QCD sum rule, which provides us with a framework to inve...
1,116,691,498,006
arxiv
\section{Introduction} We have witnessed tremendous progresses in natural language generation (NLG) with large-scale Transformer~\cite{transformer} based language models, such as the GPT-2~\cite{gpt-2}. A natural question to raise beyond language modeling is, how can we have more fine-grained control over these powerf...
1,116,691,498,007
arxiv
\section{Introduction} In 3 dimensions, the universality class of the Ising model includes $\phi^4$ theory, which entails at the 3-loop level a tetrahedral Feynman diagram, corresponding to the symmetrical 9-dimensional integral~\cite{GKM} \begin{equation} C^{Tet}:=\frac{1}{\pi^6}\int d^3\mbox{\bf k}_1d^3\mbox{\bf k}_...
1,116,691,498,008
arxiv
\section{Introduction} The generalization of various mathematical notions such as functions or even operators has importance that goes beyond mathematical curiosity. The Gamma function is a generalization of factorial for a real argument that is unique under certain constraints \cite{davis1959historical}. It can even ...
1,116,691,498,009
arxiv
\section{Introduction} Impulsive differential equations describe the dynamics of real world processes in which abrupt changes occur. Such equations play an increasingly important role in various fields such as mechanics, electronics, biology, neural networks, communication systems, chaos theory and population dynami...
1,116,691,498,010
arxiv
\section{Examples of volatility estimators} Consider dependence on time $t$ of the price $P(t)$ of some financial instrument. As a rule, at discussing of volatility, one consider its logarithm \[ X(t) := \ln P(t) . \] Let point out one of the conventional volatility $V(T)$ definition, which we are using in this ...
1,116,691,498,011
arxiv
\section{Introduction} Natural Language Processing (NLP) plays a significant role in keeping languages alive and the development of languages in the digital device era \citewpar{Karakanta2018}. One of the sub-parts of NLP is Machine Translation (MT). MT has been the most promising application of Artificial Intelligence...
1,116,691,498,012
arxiv
\section{\@startsection{section}{1}{\z@
1,116,691,498,013
arxiv
\section*{Introduction} Achieving a quantum advantage for information processing requires scaling quantum systems to sizes that can provide significant quantum resources, including entanglement. Large quantum systems are now realized across many platforms, including atomic simulators beyond $50$ qubits\cite{bernien:20...
1,116,691,498,014
arxiv
\section{High Dimensional Case} \label{subsection:lipschitz-highd} \input{highd-lipschitz} \section{Nadaraya-Watson Estimator} \label{appendix:kde} In this section, we state the proof of Theorem~\ref{thm:kde-min-error} and the lemmas needed. But, first we state a theorem from \cite{backurs2018efficient} which will b...