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541,165,882,056
arxiv
\section*{Abstract} PASCO scientific 012-05187C Precision Interferometer is used in Michelson mode to investigate wavelengths and refractive indices. From varying the distance of the movable mirror in the Michelson setup the wavelength of the HeNe laser beam is found to be $630.6\pm7.9~\mathrm{nm}$; $0.28$ sigmas away ...
541,165,882,057
arxiv
\section{Introduction} The possibility of flavour-changing decays of the Brout--Englert--Higgs boson $h$ (Higgs for short in the following) has been discussed for a long time as a possible signal for physics beyond the Standard Model (SM)~\cite{McWilliams:1980kj,Shanker:1981mj,Han:2000jz,Giudice:2008uua,Goudelis:201...
541,165,882,058
arxiv
\subsection{Procedure Unfold} \vspace{-2.5mm} \begin{definition}[Unfolding] Let $C$: $H\leftarrow c,G_L,A,G_R$ be a clause, where $A$ is an atom, and let $P$ be a set of definite clauses with $\mathit{vars}(C)\cap\mathit{vars}(P)=\emptyset$. Let {\it Cls}: $\{K_{1}\leftarrow c_{1}, B_{1},~\ldots,~K_{m}\leftar...
541,165,882,059
arxiv
\section{Introduction} Longest common subsequences are often a key measure of similarity between two strings of letters. For two finite sequences $(X_1, \ldots, X_n)$ and $(Y_1, \ldots, Y_m)$ taking values in a finite alphabet $\mathcal{A}$, the object of study is $LCS(X_1, \ldots, X_n; Y_1, \ldots, Y_m)$, the leng...
541,165,882,060
arxiv
\section{Examples} \label{sec:examples} \subsection{Local Gauss law in quantum lattice gauge theories} \label{ex:Gauss_law_lattice_gauge_theory} We start with the motivating example for this paper, namely the local Gauss law discussed by Kijowski and Rudolph in \cite{kijowski04} in the context of quantum lattice gauge...
541,165,882,061
arxiv
\section{Introduction}\label{S-Intro} Consider the quantum Hamiltonian for $N$ identical particles at the positions $x_1,\ldots,x_N\in\mathbf{R}^d$: \begin{equation}\label{NBodyHam} \mathcal{H}_N:=\sum_{m=1}^N-\tfrac12\hbar^2{\Delta}_{x_m}+\tfrac1{N-1}\sum_{1\le l<n\le N}V(x_l-x_n)\,. \end{equation} The $N$- particle...
541,165,882,062
arxiv
\section{Introduction} Density matrix renormalization group (DMRG) is an efficient algorithm for computing the ground state properties of interacting quantum many-body systems in one spatial dimension (1d). For some time now, DMRG has successfully been used to study 1d ladders and cylinders of circumference ${L_{\perp...
541,165,882,063
arxiv
\section{Introduction} \label{sec:introduction} Optimal control design by minimizing a cost function or maximizing a reward function has been investigated for various systems \cite{kirk2004optimal,sutton2018reinforcement}. Specifically, stochastic optimal control problems consider minimizing a cost function for dynami...
541,165,882,064
arxiv
\section{Introduction} \setcounter {equation}{0} Spectral analysis of sample covariance matrices plays a very important role in multivariate statistical inference since many test statistics are defined by its eigenvalues or functionals. Let $\bbX=(X_{ij})_{p\times n}$ be independent and identically dis...
541,165,882,065
arxiv
\section{Introduction} \label{sec:intro} The development of experimental technologies over the past two decades has shed light on the stochastic nature of dynamics inside biological cells \cite{Noise,Elowitz}. Indeed the small volume of a cell and the presence of several biomolecular species with low copy-numbers or ...
541,165,882,066
arxiv
\section{Introduction} Inventor name disambiguation is the task of identifying unique inventors in patent datasets \citep{Li2014, toole2021patentsview}. This requires using contextual information to distinguish between different inventors with the same name and to resolve name variations. Since there are no unique iden...
541,165,882,067
arxiv
\section{Introduction} $B$ meson decays has been attracting much attention to check the consistency of the standard model (SM) and to explore the existence of a new physics beyond the SM. Two $B$ physics dedicated experimental facilities are constructed at KEK and SLAC. The Belle and the BABAR groups have reported ...
541,165,882,068
arxiv
\section{Introduction} \label{sec:intro} Strangeness may exist in our present universe, namely in the core of compact stellar objects like neutron stars. These stars are unique because all four known fundamental interactions contribute to their properties. These objects can give information on the state of matter in ex...
541,165,882,069
arxiv
\section{Introduction}\label{Intro} Describing the behavior of a spatially homogeneous field of random, weakly interacting dispersive waves, the theory of wave turbulence has been very successful in explaining the processes of spectral energy transfer in several areas of modern science, such as oceanography, plasm...
541,165,882,070
arxiv
\section{Introduction} Color confinement, spontaneous breaking of chiral symmetry, the $U(1)$ problem, $\theta$ dependence, and the classification of vacuum states are some of the most interesting questions in $QCD$. Unfortunately, the progress in our understanding of them is extremely slow. At the end of the 1970s A....
541,165,882,071
arxiv
\section{Introduction} \label{sec:intro} Suppose $(M,J,g)$ is a Hermitian manifold. Let $\Omega$ and $T$ be respectively the curvature and torsion of the Chern connection. The \emph{Positive Hermitian Curvature Flow} ($\HCFp$), as introduced by Ustinovskiy in \cite{UstPosHCF2019}, is a family of Hermitian metrics s...
541,165,882,072
arxiv
\section{Introduction} facial manipulation technology makes it simple for amateurs to produce excellent synthesized videos. Moreover, users can access convenient face-swapping tools, for instance, through applications like DeepFaceLab \cite{DeepFaceLab} and Zao \cite{zaoapp}. In addition, the development of Artificial ...
541,165,882,073
arxiv
\section{Introduction} \label{1-Intro} The photosphere is permeated by magnetic fields of varying strengths and spatial scales that form topologies described as either closed or open. While closed magnetic field lines can be described as traceable between photospheric footpoints of opposite polarity along paths n...
541,165,882,074
arxiv
\section{Introduction} It is widely accepted that the environment has strong influence on the formation and evolution of galaxies. One of the most established examples is the morphology-density relation \citep[e.g., ][]{Dre80}. The question then is: which are the mechanisms that cause this influence, and specific...
541,165,882,075
arxiv
\section{Introduction} The goal of this paper is to present explicit formulas for certain algebraic Poisson brackets on $\P^5$. Recall that two Poisson brackets $\{\cdot,\cdot\}_1$, $\{\cdot,\cdot\}_2$ are called {\it compatible} if any linear combination $\{\cdot,\cdot\}_1+\lambda\cdot \{\cdot,\cdot\}_2$ is still a...
541,165,882,076
arxiv
\section{Introduction} The strong electron correlation effect is known to bear exotic quantum states of matter~\cite{Mott1990, Imada1998}. Representative examples are the high-temperature superconductivity in cuprates and iron-based materials~\cite{Keimer2015,Hosono2015}, and the multiferroics with simultaneous presenc...
541,165,882,077
arxiv
\section{Introduction} The Fermi accelerator is a dynamical system, proposed by Enrico Fermi \cite{fermi} to describe cosmic ray acceleration, in which a charged particle collides with a time dependent magnetic field. With base in different applications, the original model was later modified and studied by other ...
541,165,882,078
arxiv
541,165,882,079
arxiv
\section*{Acknowledgement} Bjoern Eskofier gratefully acknowledges the support of the German Research Foundation (DFG) within the framework of the Heisenberg professorship programme (grant number ES 434/8-1). We would like to thank Gilles Le Texier, Martin Rothgaengel, Birgi Tamersoy, Mirko Appel and Marie Mecking fro...
541,165,882,080
arxiv
\section{Historical review and a method deduced} The year 2005 was declared the World Year of Physics which is an international celebration of physics. It marks the hundredth anniversary of the pioneering contributions of Albert Einstein, the greatest man in the twentieth century as chosen by Time magazine. In 190...
541,165,882,081
arxiv
\section{Introduction} The Newton-Puiseux Theorem states that, if $f\left(x,y\right)$ is an analytic germ in two variables, then the solutions $y=\varphi\left(x\right)$ of the equation $f=0$ can be expanded as Puiseux series that are convergent in a neighbourhood of the origin (see for example \cite{brieskorn_knorrer;...
541,165,882,082
arxiv
\section{Introduction} Reinforcement learning (RL) \citep{sutton2018reinforcement} is emerging as one of the promising methods to solve complex decision-making tasks by maximizing human-defined rewards \citep{silver2016mastering,qureshi2017show, qureshi2018intrinsically,levine2016end}. Currently, the primary focus of R...
541,165,882,083
arxiv
\section{Introduction} Consider the following static membership problem -- given a universe $\mathcal{U}$ containing $m$ elements, we want to store an arbitrary subset $\mathcal{S}$ of $\mathcal{U}$ whose size is at most $n$, such that we can answer membership queries of the form ``Is $x$ in $\mathcal{S}$?'' Solutions...
541,165,882,084
arxiv
\section{Implementation Details} We train the agents simultaneously in 10 different environments for up to a total of 10 million steps. Parameters are updated in a batch every 5 steps using RMSProp \cite{Tieleman2012}, with a learning rate of 4e-4 for the speaker and 1e-3 for the listener. We use a hidden state size an...
541,165,882,085
arxiv
\section{Introduction} \label{sec:intro} The major matter component, namely, dark matter (DM) is a mysterious component of the Universe whose precise nature is still an open question in modern cosmology. In the literature, many attempts have been made via direct and indirect searches to know about the nature/properti...
541,165,882,086
arxiv
\section{Introduction Modeling a scene from a set of images has been a long-standing and deeply explored problem for the Computer Vision community. The goal is to build an accurate 3D model of the environment basing on the implicit tridimensional data contained in a set of 2D images. These methods can be useful to dig...
541,165,882,087
arxiv
\section{Estimation of 1D Diffusion Coefficient for Protein Undergoing Rotation in Fluid} The drag force experienced by a body with velocity $v$ and friction $\gamma$ is $F_{drag}=\gamma v$. The energy dissipated is thus $E_{drag}=\gamma v \Delta$, or its dissipation rate $dE_{drag}/dt=\gamma v^2$. The aim of this calc...
541,165,882,088
arxiv
\section{Introduction} As a byproduct of their famous works on the classification of reflexive polytopes, Kreuzer and Skarke have shown that the web of $d$-dimensional reflexive polytopes is connected modulo unimodular equivalences if $d\le 4$ \cite{MR1901220}. This is important in relation to the unsolved mathema...
541,165,882,089
arxiv
\section{Introduction} For a number of years, I have surprised my physics students (in both introductory and graduate physics classes) with a "simple" question: What is sine? Or in extended form: How do we define the sine function that appears everywhere in physics? Such questions usually elicit amusement, perplexity,...
541,165,882,090
arxiv
\section{Introduction} The Faddeev-Skyrme model is a nonlinear scalar field theory which possesses so-called knot solitons, classified topologically by their Hopf degree. Motivated by the sigma model limit of two-component Ginzburg-Landau theory, Babaev, Faddeev and Niemi conjectured that such knot solitons may exist...
541,165,882,091
arxiv
\section{Introduction} Crucial aspects of theories of star formation can only be tested by studying the stellar populations both in and near molecular clouds. While the earliest stages of stellar evolution must be probed with infrared and radio techniques, many important questions can only be studied with optical surv...
541,165,882,092
arxiv
\section{Introduction} \label{sec:intro} Differential game theory provides the right framework to analyze pursuit-evasion problems and, as a corollary, combat games. Pursuit-evasion scenarios involving multiple agents are important but challenging problems in aerospace, control, and robotics. Pursuit-evasion problems ...
541,165,882,093
arxiv
\section{Introduction} Let $\Omega_{p,t,n}$ be the collection of all crossover designs with $p$ periods, $t$ treatments, and $n$ subjects. In an experiment based on design $d\in\Omega_{p,t,n}$, the response from subject $u\in\{ 1,2,\ldots,n\}$ in period $k\in\{ 1,2,\ldots,p\}$, to which treatment $d(k,u)\in\{ 1,...
541,165,882,094
arxiv
\partial{\partial} \def\rangle{\rangle} \def\subset{\subset} \def>\!\!\!\lhd{>\!\!\!\lhd} \def\simeq{\simeq} \def\times{\times} \def\wedge{\wedge} \def\rightarrow{\rightarrow} \def\longrightarrow{\longrightarrow} \def\Rightarrow{\Rightarrow} \def\leftrightarrow{\leftrightarrow} \def\hbox{\hbox} \def\backslash{\backs...
541,165,882,095
arxiv
\section{Introduction} In his seminal paper \cite{mathias}, Mathias established a connection between three different ideas in mathematics: The combinatorial set theory of \emph{maximal almost disjoint families}, infinite dimensional Ramsey theory, and Cohen's method of forcing. He asked if the combinatorial statement ...
541,165,882,096
arxiv
\section{Introduction}\label{sec: introduction} Current status data with competing risks arise in cross-sectional studies that assess the current status of individuals in the sample with respect to an event that can be caused by several mechanisms. An example is Cycle I of the Health Examination Survey in the Unite...
541,165,882,097
arxiv
\section{Introduction.} \qquad Stochastic modeling plays an important role in many branches of science. In many practical situations, perturbations are expressed in terms of white noise, modeled by brownian motion. The behavior of a deterministic dynamical system which is disturbed by noise may be modeled by a stochas...
541,165,882,098
arxiv
\section{Introduction} The classical distances for graph vertices are the shortest path distance~\cite{BuckleyHarary90}, the resistance distance \cite{Sharpe67,Sharpe67a,Sharpe67b,GvishianiGurvich87,KleinRandic93}, which is proportional to the commute time distance~\cite{GobelJagers74}, and the square root version o...
541,165,882,099
arxiv
\section{Introduction} The \texttt{iopart-num} Bib\TeX{} style is intended for use in preparing manuscripts for Institute of Physics Publishing journals, including Journal of Physics. It provides numeric citation with Harvard-like formatting, based upon the specification in ``How to prepare and submit an article for ...
541,165,882,100
arxiv
\section{Introduction} The holographic approach has become a very efficient technique in computing the entanglement entropy (EE) which is rather challenging in a direct path integral approach in quantum field theories (QFTs) in more than two dimensions. The holographic calculation of the EE, which was proposed b...
541,165,882,101
arxiv
\section{\label{}} \section{INTRODUCTION} The precision study of both new and already discovered particles will be a major component of the experimental programs at both the Large Hadron Collider (LHC) and a future International Linear Collider (ILC). The past two decades in particle physics established the import...
541,165,882,102
arxiv
\section{Introduction} \label{sect:intro} Many astrophysical scenarios have been proposed to explain the several black hole (BH) and neutron star (NS) binary mergers observed via gravitational wave (GW) emission by the LIGO-Virgo collaboration. Possibilities include isolated binary evolution \citep{bel16b,kruc2018}, m...
541,165,882,103
arxiv
\section{Introduction} Depth and ego-motion estimations play essential roles in understanding geometric scenes from videos and images, and have broad applications such as robotics~\cite{982903} and autonomous driving~\cite{7410669}. Supervised models~\cite{Hu2018Revisiting,8578312,7346484,DBLP:journals/corr/abs-1908-...
541,165,882,104
arxiv
\section{Introduction}\label{S:intro} Semiconductor Superlattices (SL) are since a few decades in the focus of intense theoretical and experimental research. Starting from the studies by Esaki and Tsu \cite{esaki}, a vivid interest exists in the electronic, transport and optical properties of SLs. The presence of exte...
541,165,882,105
arxiv
\section{Introduction} Measles is an infectious viral disease with a Paramyxoviridae member as the aetiologic factor, the measles virus, a negative-sense single-stranded RNA virus, and it may produce dermatologic lesions as well as respiratory signs had there been no preventive measures taken, for it was by means of th...
541,165,882,106
arxiv
\section{Introduction} Scattering in a half-space and layered media, both acoustic and electromagnetic, has been a classic problem in the physics of waves for many decades. Solutions for various boundary conditions have been formulated by Van der Pol\cite{vanderpol}, Sommerfeld\cite{sommerfeld}, and Weyl\cite{weyl}. G...
541,165,882,107
arxiv
\section{Introduction} Rapid advances in photonic integrated circuits (PICs) have ushered in a new generation of devices capable of universal linear-optics transformations across a set of $N$ optical modes~\cite{Bogaerts:20}. These `programmable photonic circuits' are enabling new applications ranging from quantum inf...
541,165,882,108
arxiv
\section{Introduction} While molecular cloud cores have been identified as the site where the star formation starts, which physical processes initiate and control the onset is still a matter of debate. To assess the impact of effects such as gravitational instability or shielding from the outer radiation field, the spa...
541,165,882,109
arxiv
\section*{Introduction} The seamless integration of function and form promises to spur innovation in technologies ranging from MEMS and NEMS devices (e.g., with novel electrical, electromagnetic and energy functionality), reconfigurable and soft robotics, wearable electronics, and compliant bio-medical devices \cite{r...
541,165,882,110
arxiv
\section{Introduction} Social networks have been studied intensively for decades. Community detection is one of the most interesting problems in this area. Social networks usually possess community structure: nodes in the network can be grouped such that nodes in the same group are densely connected while nodes in diff...
541,165,882,111
arxiv
\section{Introduction} Transmission of information through noisy channels is an essential requirement in various information-processing tasks. A channel can be characterized by its capacity, which quantifies the maximum amount of information which can be transmitted reliably per use of the channel. If the sender (Alice...
541,165,882,112
arxiv
\section{Introduction} Models of solvent (friction) control of electron transfer\cite{Zusman:80,Friedman:1982eu,Sumi:86,Hynes:86,Rips:1987qf,Yan:1988mz} allow the pre-exponential factor of the reaction rate constant to be controlled by either the tunneling probability or by the relaxation time of the solvent models co...
541,165,882,113
arxiv
\section{Introduction} \hspace{10pt} Let $M^{n}$ be an n-dimensional differentiable manifold and $F^{n}$ be a Finsler space equipped with a fundamental function $L(x, y), (y^{i} = \dot{x}^{i})$ of $M^{n}$. If a differential 1-form $\beta(x, y) = b_{i}(x)y^{i}$ is given on $M^{n}$, M. Matsumoto \cite{M1} introduced anot...
541,165,882,114
arxiv
\section{Introduction} The odd parity level energies for the neutral sulfur atom have been extensively studied through VUV absorption spectroscopy from the ground electronic configuration \cite{kaufman1982,sarma1984,Joshi1987,zhou2008}. The connection with even parity excited states is studied through visible and infr...
541,165,882,115
arxiv
\subsection{Heterogeneous graph} \label{sec:preliminaries:hg} Heterogeneous graphs are an important abstraction for modeling the relational data of multi-modal systems. Formally, a heterogeneous graph is defined as $\mathcal{G} = (\mathcal{V}, \mathcal{E}, \mathcal{T}, \mathcal{R})$ where the node set $\mathcal{V}:...
541,165,882,116
arxiv
\section{Introduction} Recently, Ho$\check{r}$ava presented a power counting renormalizable gravity theory at Lifshitz point which is called Ho$\check{r}$ava-Lifshitz (HL) gravity \cite{Horava11}. It exhibits a broken Lorentz symmetry at short distances and reduces to usual general relativity (GR) gravity at the la...
541,165,882,117
arxiv
\section*{Acknowledgements} It is a pleasure to thank my advisor David Hansen for giving me this project and for numerous suggestions and ideas related to it, as well as Eric Chen, Arthur-C\'esar Le-Bras, Yoichi Mieda, Jack Sempliner, and Zhiyu Zhang for some nice conversations related to this work. Special thanks also...
541,165,882,118
arxiv
\section{Introduction} The possibility to induce double charge-exchange (DCX) excitations by means of heavy-ion beams at intermediate energies \cite{RIKEN, INFN-Catania} has recently fostered the interest on new collective excitations such as double isobaric analog states (DIAS) and double Gamow-Teller giant resonance...
541,165,882,119
arxiv
\section{Introduction} The formation and evolution of elliptical and lenticular galaxies (early-type galaxies, or simply ETGs) are still open questions in Astrophysics. The modern view of formation/evolution of massive ETGs, especially ellipticals, implies a long two-phase process \citep{2010ApJ...725.2312O}. The ini...
541,165,882,120
arxiv
\section{Introduction} \begin{question} Let $M$ be a compact topological $4$-manifold and let $x \in \pi_2(M)$. Can $x$ be represented by a locally flat embedded $2$-sphere? \end{question} Versions of this fundamental question have been studied by many authors, such as~\cite{kervaire-milnor, tristram, rochlin, hsi...
541,165,882,121
arxiv
\section{Introduction} All deep learning models used nowadays are vulnerable to adversarial attacks \cite{goodfellow2013intriguing, NaseerIntriguingViT2021}, especially in the domain of image classification. This is inherent to the fact that gradient computation is required for training \cite{SGDKeifer1952}, which can ...
541,165,882,122
arxiv
\section{Introduction} A central challenge in robotics and artificial intelligence is to develop discrete representations that can translate the high-dimensional continuous spaces of real-world sensor data and robot configuration into forms that are compatible with algorithms for abstract reasoning, such as search and...
541,165,882,123
arxiv
\section*{Abstract} We consider one of the generic regimes of formation of singularities. We obtain a detailed description of a possibly small, but fixed, neighborhood of the blowup point, up to (and including) the blowup time, and find that it is mean convex. This confirms a conjecture by Ilmanen. And we find that th...
541,165,882,124
arxiv
\section{Introduction} A fundamental problem that arises frequently in many disciplines is that of reconstructing a matrix with certain properties from some partial information. Typically, such a problem is motivated by the desire to deduce global structure from a (small) number of local observations. For instance, c...
541,165,882,125
arxiv
\section{Introduction} Shape correspondence between a pair of surfaces is the task of estimating a semantically meaningful map from one surface onto the other. In geometry processing, surfaces are typically represented as compact two-dimensional Riemannian manifolds. Given two such surfaces $\mathcal{X}$ and $\mathcal{...
541,165,882,126
arxiv
\section{Introduction}\label{se:sec1} Quantification of uncertainty in the geologic properties of the subsurface is essential for optimal management and decision-making in subsurface flow applications such as nuclear waste disposal, geologic storage of CO$_2$ and enhanced-oil-recovery. The environmental impact of thes...
541,165,882,127
arxiv
\section{Introduction} Comprehensive first principles modelling of fusion plasmas is a numerically challenging: the complicated magnetic geometry and long range electromagnetic interactions between multiple species introduce complex collective behaviour in the plasma. In addition, steep density and temperature gr...
541,165,882,128
arxiv
\section{Introduction} \label{intro} One of the observed features of hadron production in relativistic heavy ion collisions is the deviation from full chemical equilibrium of particles containing strange constituent quarks. This is described by a phenomenological factor $\gamma_S^{n_s}$ ($n_s$ being the number of st...
541,165,882,129
arxiv
\section{Introduction} Let $[n]$ denote the set $\{1,...,n\}$ and let $\binom{[n]}{k}$ be the collection of all $k$-sets of $[n]$. A \textit{$d$-cluster} of $k$-sets is a collection of $d$ different sets $A_1,...,A_d\in\binom{[n]}{k}$ such that \[ |A_1\cup...\cup A_d|\le 2k\ \text{and}\ |A_1\cap...\cap A_d|=0 \] ...
541,165,882,130
arxiv
\section{Introduction}\label{sec: intro} Classical communication complexity, introduced by Yao~\cite{Yao79}, is aptly called the `swiss-army-knife' for understanding, especially the limitations of, classical computing. Quantum communication complexity holds the same promise with regards to quantum computing. Yet, the...
541,165,882,131
arxiv
\section{Introduction} Goal-oriented requirement models have become largely popular in the research community \cite{JennHork}. However, the levels of adoption of these frameworks in the industry have not been quite impressive. The research community has been actively trying to implement business compliance checking wit...
541,165,882,132
arxiv
\section{Introduction} Particle-in-cell (PIC) schemes have been a popular and effective method for the simulation of kinetic plasmas for a long period of time \cite{hockney1988computer,birdsall2004plasma,dawson1983particle}. Compared to continuum kinetic codes, PIC schemes effectively reduce the dimension from six ...
541,165,882,133
arxiv
\section{Introduction} The Wright-Fisher (WF) model captures in simple mathematical form the combined effects of natural selection, mutation, and genetic drift, and therefore plays a foundational role in quantitative evolutionary theory and population genetics. Unfortunately, the main quantities of interest such as f...
541,165,882,134
arxiv
\section{Introduction} \label{sec:introduction} Magnetic reconnection is a process that changes magnetic topologies and releases magnetic energy. It is a physical process that is fundamental for a whole range of dynamical phenomena in magnetized plasmas in environments ranging from laboratories on Earth to the heliosp...
541,165,882,135
arxiv
\section{introduction} Carbon nanotubes are unique one dimensional nanostructures\cite{iijima} with their exceptional mechanical, electronic and magnetic properties.\cite{dress,saito,mintmire,review} While the use of single-wall carbon nanotubes (SWCNT) requires a completely new paradigms in the development of nanodevi...
541,165,882,136
arxiv
\section{Proofs of Lemma} \subsection{Proof of Lemma~\ref{lem:temp2}} \label{app:temp2} Recall that $\mathcal{V}=\{\Delta:\mathcal{R}(\Delta_{\overline{\mathcal{M}}^\perp})\le 3\mathcal{R}(\Delta_{\overline{\mathcal{M}}})\}$. To prove Lemma~$4$, consider the nuclear norm ball $S_\mathcal{R}(t)=\{\Delta:\mathcal{R}(\D...
541,165,882,137
arxiv
\section{Introduction} Univariate GARCH models have had much empirical success since the ARCH model was introduced by \citet{Engle:1982}. A large number of univariate GARCH-type models have been proposed in the literature, whereas the literature on multivariate GARCH models is less voluminous. A key obstacle in multi...
541,165,882,138
arxiv
\section{Acknowledgments} We thank Chunyang Xiao for helping us to run the analysis experiments. We thank Kazi Shefaet Rahman, Ozan Irsoy, Chen-Tse Tsai, and Lingjia Deng for their valuable comments on earlier versions of this paper. We also thank the EMNLP reviewers for their helpful feedback. \section{Analysis} \l...
541,165,882,139
arxiv
\section{Introduction}\label{sec:intro} In the late 1980s, the first exoplanetary candidates around main sequence stars were discovered orbiting Gamma Cephei \citep{GammaCeph} and HD\,114672 \citep{LathamsWorld}\footnote{This companion is likely a low-mass star in a face-on orbit \citep{LathamStar}.}. Soon after, \cit...
541,165,882,140
arxiv
\section{Introduction} In the framework of perturbative quantum chromodynamics (QCD), the basic spin-averaged characteristics of heavy-flavor photo- \cite{Ellis-Nason,Smith-Neerven}, electro- \cite{LRSN}, and hadro-production \cite{Nason-D-E-1,Nason-D-E-2,BKNS} are known exactly up to the next-to-leading order (NLO)...
541,165,882,141
arxiv
\section{Introduction} Since the appearance of \cite{LLR95} and \cite{AR98}, low-distortion metric embeddings have become an increasingly powerful tool in studying the relationship between cuts and multicommodity flows in graphs. For background on the field of metric embeddings and their applications in theoretical co...
541,165,882,142
arxiv
\section{Introduction\label{sec-intro}} The recent observation of an excess of events in deep-inelastic positron-proton scattering at \mbox{HERA} \cite{HERA-97} has aroused new interest in physics beyond the Standard Model. Theoretical speculations have focussed on two different scenarios to explain the experimental...
541,165,882,143
arxiv
\section{Environment Descriptions} \textbf{PointTrajectory}: \begin{itemize} \item Dynamics: This environment requires controlling a pointmass on a 2D plane, where the state $s_t = (x_t,y_t)$ represents the location of the pointmass. It always starts at the origin, with $s_0 = (0,0)$, and the agent is restricted t...
541,165,882,144
arxiv
\section{Introduction} \label{sec:intro} Through these fruitful decades of computer vision research, we have taken huge strides in solving specific object recognition tasks, such as classification systems for automated assembly line inspection, hand-written character recognition in mail sorting machines, bill inspectio...
541,165,882,145
arxiv
\section{Introduction} Beyond time-averaged current, the measurement of current fluctuations gives insight into the interaction and correlations of charge carriers in mesoscopic transport \cite{Blanter2000}. Current fluctuation arising from the quantized nature of charge carriers is called shot noise. Non-interactin...
541,165,882,146
arxiv
\section{Introduction} Deep learning is now recognized as a standard strategy for problems such as classification, segmentation, and detection, as computer vision and machine learning have improved rapidly. A vast number of cutting-edge techniques rely on supervised learning, which necessitates manual data labeling, wh...
541,165,882,147
arxiv
\section{INTRODUCTION} Several flare events observed in surveys either in X-rays by {\it ROSAT} (Bade et al. 1996; Komossa \& Bade 1999), {\it Chandra} and {\it XMM-Newton} (Donley et al. 2002; Esquej et al. 2007, 2008; Cappelluti et al. 2009, Maksym et al. 2010) or in the UV by {\it GALEX} (Gezari et al. 2006, 2009) ...
541,165,882,148
arxiv
\section{Introduction and Related Work} The problem of the coordination of electric vehicle (EV) charging is gaining more attention in recent years as the number of EVs rises, leading to increased importance of such coordination. Without coordination the charging can cause large peaks in the electricity consumption as...
541,165,882,149
arxiv
\section{Introduction} Lov\'asz~\cite{lovasz1978} proved a conjecture of Kneser~\cite{kneser1955} that at least $n-2(k-1)$ colors are required in any coloring of the $k$-element subsets of $[n] = \{1, \dots, n\}$ to ensure that any two $k$-subsets of the same color intersect. We will denote the $k$-element subsets o...
541,165,882,150
arxiv
\section{Introduction}\label{s:intro} Genetic incompatibilities correspond to deleterious interactions between alleles (at the same locus or at different loci) within the same genome, and are the cause of the reduced fitness of hybrids between species \cite{CoyneOrr}, \cite{Gavrilets}. Such incompatibilities may be re...
541,165,882,151
arxiv
\section{\large Introduction} A T-matrix is a theoretical construct in quantum state tomography to decipher the quantum state from collected experimental data. The data comprise measurements of the Stokes parameters. The quantum state is expressed via a density matrix, which is expressed in terms of the T-matrix a...
541,165,882,152
arxiv
\section{Two Higgs Doublet Models} \label{sec:2HDM} We now consider the posibillity that the $750$~GeV resonance originates from a scalar $SU(2)_L$ doublet that is part of a two Higgs doublet model (2HDM). The two Higgs doublets contain 5 physical degrees of freedom: two neutral scalars, $h$ and $H$, one neutral pseu...
541,165,882,153
arxiv
\section{Introduction} \subsection{Goal} An array of magnetic flux tubes is created in certain superconductors for intermediate strengths of an external magnetic field. Superconductors with this property are said to be of type II. This is in contrast to type-I superconductors, where the magnetic field is either comp...
541,165,882,154
arxiv
\section{Introduction} \label{section:introduction} The Internet of Things (IoT) is growing at a rapid pace, with an estimated 22 billion connected IoT devices in use around the world at the end of 2018, and projected to grow to 50 billion by 2030~\cite{Statista:2019:IoT}. These devices are increasingly...
541,165,882,155
arxiv
\section{Introduction} \label{sec:intro} The Lagrangian of massless quantum chromodynamics (QCD) with $N_f$ quark flavors has a chiral $SU(N_f)_L \times SU(N_f)_R \times U(1)_A \times U(1)_V$ symmetry. A chiral quark condensate $\langle \bar{q} q\rangle \approx (300\,\mathrm{MeV})^3$ spontaneously breaks the $SU(N_...