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1,314,259,996,463
arxiv
\section{Introduction} Quantum circuits based on conventional Josephson-junctions have begun to tackle real-world problems\cite{PhysRevX.6.031007}. This has been despite high decoherence produced by the loss\cite{lindstrom2009properties,macha2010losses} and noise\cite{burnett2014evidence,ramanayaka2015evidence} cause...
1,314,259,996,464
arxiv
\section{Cell algebra structures on monoid algebras} In \cite{May}, a class of algebras called cell algebras is defined which generalize the cellular algebras of Graham and Lehrer \cite{GL}. These algebras had previously been introduced and studied as ``standardly based algebras'' by Du and Rui in \cite{DR}. ...
1,314,259,996,465
arxiv
\section{Introduction} Positron emission tomography (PET) is a well established molecular imaging technique\cite{JONES2017}. It involves administration of radiolabeled molecules containing elements emitting positrons to patients. Photons created due to the positron-electron annihilation are measured in order to local...
1,314,259,996,466
arxiv
\section{Introduction} \label{sec:Intro} We consider the linear operator defined by the fractional Laplacian with drift, \begin{equation} \label{eq:Operator} Lu(x) : = \left(-\Delta\right)^s u(x) + b(x)\dotprod\nabla u (x)+c(x) u(x),\quad \forall u \in C^{2}_c(\RR^n), \end{equation} where the coefficient funct...
1,314,259,996,467
arxiv
\section{Introduction} Representation of objects by linear operators (resp. square matrices) is a tool helping to understand the behaviour of algebraic structures, which often serve as a model of physical phenomena. Representations of algebraic structures bring order into their description. Particle physics off...
1,314,259,996,468
arxiv
\section{Introduction} \label{introduction} The deeper nature of dark matter (DM) is unknown. While the observational evidence for the existence of DM is overwhelming, its possible connection to particle physics remains poorly understood. As of today, the experimental searches of particle DM have yielded only null res...
1,314,259,996,469
arxiv
\section{Introduction}\label{s_intro} For a complex matrix we present approximations for the determinant and its logarithm, together with error bounds. The approximations were motivated by a problem in computational quantum field theory: the simulation of finite temperature nuclear matter on a lattice \cite{LeeI03}....
1,314,259,996,470
arxiv
\section{Introduction} Analytic perturbation theory tells us that if $V$ is relatively bounded to $H_0$, then the spectrum of $H_\lambda=H_0+\lambda V$ is at a Hausdorff distance of order $|\lambda|$ from the spectrum of $H_0$. This property is not true for singular perturbations (like for example the magnetic pertu...
1,314,259,996,471
arxiv
\section{Introduction} \label{sec:Introduction} Supersymmetry (SUSY) and the Minimal Supersymmetric Standard Model~\cite{Nappi:1982bc, Dine:1982cd,Alvarez:1982de, Dine:1993yw, Dine:1994vc,Dine:1995ag} are extensions of the standard model (SM) that provide explanations for several outstanding issues with the SM. In p...
1,314,259,996,472
arxiv
\section{Statement of results} Let $K$ be a field with $\mathrm{char}(K)\ne 2$. Let us fix an algebraic closure $K_a$ of $K$. Let us put $\mathrm{Gal}(K):=\mathrm{Aut}(K_a/K)$. If $X$ is an abelian variety of positive dimension over $K_a$ then we write $\mathrm{End}(X)$ for the ring of all its $K_a$-endomorphisms an...
1,314,259,996,473
arxiv
\section{Introduction} The capacity (or ``harmonic'' or ``electrostatic'' or ``Newtonian'' capacity) of a compact set $K \subset \mathbb{R}^n$, $n \geq 3$, is defined as $$\capac(K) = \inf_{\phi} \left\{\frac{1}{(n-2)\omega_{n-1}} \int_{\mathbb{R}^n} |\nabla \phi|^2 dV\; :\; \phi \text{ is Lipschitz with compact suppo...
1,314,259,996,474
arxiv
\section{Introduction} \label{intro} Over the past several years, studies have shown that exotic formation channels could lead to a population of highly eccentric compact binaries whose gravitational wave (GW) emission would be in the band of current ground-based detectors~\cite{2009MNRAS.395.2127O, Lee:2009ca,Wen:200...
1,314,259,996,475
arxiv
\section*{Spin freezing parameter} The spin freezing parameter $\bar q$ is defined by Eq. (2) in the main text, {\it i.e.\/}, \begin{align} \bar{q}^2=\frac{1}{N^2}\sum_{i,j}\left[\braket{\bm{S}_i\cdot\bm{S}_j}^2\right]_J. \label{eq:qbar} \end{align} This quantity takes a nonzero value in the spin ordered sta...
1,314,259,996,476
arxiv
\section{Introduction} According to QCD factorization theorem, the cross section for the inclusive production of a hadron $H$ with high transverse momentum ($p_T$) in a high-energy collision is dominated by the single parton fragmentation \cite{Collins:1989gx}, i.e., \begin{eqnarray} d \sigma_{A+B \to H+X}(p_T)= && \...
1,314,259,996,477
arxiv
\section{Introduction} Discrete Mechanics first developed in [1] is a method of discretizing continuous differential equations for simulating on computers while preserving the structure of the manifold on which the dynamics evolve. The simplest discretization technique known is the Euler's technique which is used to nu...
1,314,259,996,478
arxiv
\section{Introduction} \label{intro} Today, machine learning has come to play an integral role in many parts of the financial ecosystem, from portfolio management and algorithmic trading, to fraud detection and loan/insurance underwriting. Time series are one of the most common data types encountered in finance, ...
1,314,259,996,479
arxiv
\section{Introduction} The phenomenon of dispersive wave propagation is fundamental to our understanding of a wide variety of spatially extended physical systems. In such systems, the frequency, $\omega_\k$, of each wave mode is a nonlinear function of its wave-vector, $\k$ \cite{whitham_linear_1974}. Examples include...
1,314,259,996,480
arxiv
\section{Introduction} As is known the collective behavior of many-particle systems can be effectively described within the framework of a one-particle marginal distribution function governed by the kinetic equation which is a scaling limit of underlying dynamics \cite{CGP97}-\cite{Sp91}. The statement of a probl...
1,314,259,996,481
arxiv
\subsection*{Polyominoes} A \emph{polyomino} is an edge-connected set of unit squares, called \emph{cells}, embedded in the integer lattice. Two cells are adjacent if, and only if, they share a common edge. Edge-connected means that every pair of cells is connected by a path through adjacent cells. Polyominoes are ...
1,314,259,996,482
arxiv
\section{Conclusion} We presented an algorithm, designed using hybrid system tools, that unites Nesterov's accelerated algorithm and the heavy ball algorithm to ensure fast convergence and uniform global asymptotic stability of the unique minimizer for $\mathcal{C}^1$, nonstrongly convex objective functions $L$. The...
1,314,259,996,483
arxiv
\section{Introduction} Long gamma-ray bursts (GRBs) are powerful explosions occurring at cosmological distances, linked to the death of massive stars. The gamma-ray (or prompt) event is followed by an afterglow at longer wavelengths, which is crucial in order to understand the physics of these sources, but also to inv...
1,314,259,996,484
arxiv
\section{Supplementary material} \subsection{Derivation of the $\gamma$GL equation} It is convenient to recast the self-consistency equation [i.e., Eq.~(1) of the article] for a two-band superconductor in the form \begin{equation} \left( \begin{array}{c} \Delta_1({\bf x})\\ \Delta_2({\bf x}) \end{array} \rig...
1,314,259,996,485
arxiv
\section{Introduction}\label{sec:intro} After the immense progress achieved in the last three decades, observational cosmology is about to undergo transformational changes once again. A number of high-precision, wide-field experiments across the electromagnetic spectrum will soon start operations. Examples include the...
1,314,259,996,486
arxiv
\section{Results} In order to bring out the role of NQEs and exchange symmetry, we performed simulations of solid deuterium using three different methods, treating deuterium as 1) a classical particle (MD), 2) a distinguishable quantum particle (PIMD), and 3) an indistinguishable boson (PIMD-B) (Fig. \ref{fig:density_nq...
1,314,259,996,487
arxiv
\section{Introduction} Barycenters are principled summaries (averages) of probability measures \citep{journals/siamma/AguehC11}, defined with respect to a similarity metric on the space of measures. They have been used in computer vision \citep{gramfort:hal-01135198}, economics \citep{carlier:hal-00987292}, Bayesian ...
1,314,259,996,488
arxiv
\section{Introduction} \label{sec1} Defects such as domain walls, vortices, and monopoles often host gapless boundstates when coupled to fermions \cite{Jackiw:1975fn}, the existence of which can be related to topology and anomalies \cite{atiyah1968index,fujikawa1979path}. However, their properties vary according to t...
1,314,259,996,489
arxiv
\section{Introduction} The adiabatic algorithm\cite{farhi2001quantum} is a proposed quantum algorithm for optimization. In its simplest form, one considers a quantum Hamiltonian which is a sum of two terms, one term being diagonal and proportional to the objective function of some classical optimization problem and th...
1,314,259,996,490
arxiv
\part{\partial} \def\ph{\varphi} \def\plim{\varprojlim} \def\pr{\text{\rm pr}} \def\pt{\text{\rm pt}} \def\rk{\text{\rm rk}\,} \def\reg{\text{\rm reg}\,} \def\sh{\text{\rm sh}\,} \def\sgn{\text{\rm sgn}} \def\sing{\text{\rm sing}} \def\sm{\text{\rm sm}} \def\sp{\text{\rm sp}} \def\supp{\text{\rm supp}\,...
1,314,259,996,491
arxiv
\section*{Abstract} One-dimensional systems comprising $s$-wave superconductivity with meticulously tuned magnetism and spin-orbit coupling can realize topologically gapped superconductors hosting Majorana edge modes whose stability is determined by the gap's size. The ongoing quest for larger topological gaps evolved ...
1,314,259,996,492
arxiv
\section{Introduction}\label{sec:intro} White dwarfs are the degenerate remnants of stars with masses lower than $8-10$ $M_{\odot}$ and are the endpoint of stellar evolution for more than 97\% of Galactic stars \citep[e.g.,][and references therein]{ibeling13,doherty15}. White dwarfs are an important tool for studying t...
1,314,259,996,493
arxiv
\section{Introduction} More than a decade after the prediction of the $\eta$-mesic nuclei \cite{hailiu}, their existence remains a matter of interesting debate among nuclear physicists. The root of the debate lies in the uncertainty in the knowledge of the elementary eta-nucleon ($\eta N$) interaction. Though once ...
1,314,259,996,494
arxiv
\section{Introduction} It is a general conviction that, in the search of a quantum gravity theory, a black hole should play a role similar to that of the hydrogen atom in quantum mechanics \cite{key-9}. It should be a ``theoretical laboratory'' where one discusses and tries to understand conceptual problems and potent...
1,314,259,996,495
arxiv
\section{Introduction} Research on Vietnamese NLP has been actively explored in the last decade, boosted by the successes of the 4-year KC01.01/2006-2010 national project on Vietnamese language and speech processing (VLSP). Over the last 5 years, standard benchmark datasets for key Vietnamese NLP tasks are publicly ...
1,314,259,996,496
arxiv
\section*{Acknowledgement} Special thanks to my advisor Professor Damin Wu, who has provided me incrediblly great instruction and support. The author would like to thank Professor Shing-Tung Yau, Professor Lizhen Ji and Professor Vladimir Markovic for helpful comments. Last but not least, the auother would like t...
1,314,259,996,497
arxiv
\section{Introduction} "A theory of everything" (TOE) is usually considered as a final goal. It means an existence of some universal lagrangian containing fields, symmetries and parameters (coupling constants) that should describe all phenomena in the Universe. But even if the goal was achieved main questions listed...
1,314,259,996,498
arxiv
\section{Introduction} \subsection{Software in science} The use of computer software in research has resulted in significant hardware and software developments in computing science. Nowadays, the number of different scientific software packages is overwhelming, and it has become progressively difficult for users (e.g. ...
1,314,259,996,499
arxiv
\section{Introduction}\label{intro} Let $\mathcal{N}$ be a set with $n\in\mathbb{N}\coloneqq\cb{1,2,\ldots}$ distinct objects and fix $k\in\mathbb{N}$. We consider the problem of choosing $k$ subsets $A_1,\ldots,A_k$ of $\mathcal{N}$ in such a way that these sets cover $\mathcal{N}$, that is, $\bigcup_{i=1}^k A_i = \m...
1,314,259,996,500
arxiv
\section{Introduction} Transverse momentum dependent (TMD) parton distribution functions (PDFs, TMDPDFs) are one of the important ingredients in nucleon tomography and a central focus of hadron physics research in recent years and especially at the future electron-ion collider~\cite{Accardi:2012qut,Boer:2011fh}. TMDPDF...
1,314,259,996,501
arxiv
\section{Introduction}\label{intro} The creation of top quarks in $p\bar{p}$ collisions offers a unique test of pair-production in quantum chromodynamics (QCD) at very large momentum transfer as well as a promising potential avenue for the observation of new physical phenomena. Given the very large mass of the top qua...
1,314,259,996,502
arxiv
\section*{} \vspace{-1cm} \footnotetext{\textit{$^{a}$~Institut f\"ur Theoretische Physik, Westf\"alische Wilhelms-Universit\"at M\"unster, Wilhelm-Klemm-Str.\ 9, 48149 M\"unster, Germany.}} \footnotetext{\textit{$^{b}$~Center for Nonlinear Science (CeNoS), Westf{\"a}lische Wilhelms-Universit\"at M\"unster, Correns...
1,314,259,996,503
arxiv
\section{Introduction} During the last decades, topology has influenced many fields of physics through the renewed description of various phenomena. In condensed-matter physics, topological invariants | known as Chern numbers | have played an important role in the description of the integer quantum Hall effect (IQHE)~...
1,314,259,996,504
arxiv
\section{Introduction} In the context of AdS/CFT, entanglement entropy of the boundary quantum field theory can be calculated using the Ryu-Takayanagi \cite{Ryu:2006bv, chm} prescription and its generalizations to higher curvature gravity theories. The derivation of this holographic entanglement entropy for two derivat...
1,314,259,996,505
arxiv
\section*{Movie description} The video is available here: \href{http://ecommons.library.cornell.edu/bitstream/1813/14112/2/ristenpart_gfm_2009_hires.mpg}{High resolution version} or \href{http://ecommons.library.cornell.edu/bitstream/1813/14112/3/ristenpart_gfm_2009.mpg}{Low resolution version}. The video contains six...
1,314,259,996,506
arxiv
\section{Introduction}\label{s1} Different \jgrv{methods} to solve Partial differential equations (PDEs) with and without boundary condition \jgrv{are} proposed in the literature. PDEs are very common in different fields of engineering such as thermodynamic, chemical process, wave analysis, etc. In some recently develo...
1,314,259,996,507
arxiv
\section{Introduction}\label{S:intro} Let ${\mathbb D}$ be the open unit disk, let $dA$ be normalized area measure on ${\mathbb D}$, and let $\hol({\mathbb D})$ be the space of holomorphic functions on ${\mathbb D}$. Given a non-negative function $\omega\in L^1({\mathbb D})$ and $f\in\hol({\mathbb D})$, we define ...
1,314,259,996,508
arxiv
\section{Introduction} Launched March 2009, the \textit{Kepler} mission continuously observed a field in the sky centered on the Cygnus-Lyra region with the primary goal of detecting (small) exoplanets, by photometrically measuring planetary transits to a high level of precision \citep{borucki2008}. Apart from a growi...
1,314,259,996,509
arxiv
\section{Early-Type Galaxies} For a long time, the conventional view of early-type galaxies was that they were simple, single-component objects which were either almost spherical and hardly rotating, or flattened systems whose shape could be simply accounted for by rotation around a single axis. As telescopes became l...
1,314,259,996,510
arxiv
\section{Introduction} The Laser Interferometer Space Antenna (LISA)~\cite{Audley:2017drz} is a space-based Gravitational Wave (GW) detector scheduled to be launched by ESA, with junior partnership from NASA, around 2034. LISA is currently in Phase A (assessment of feasibility), and among the items that are being inves...
1,314,259,996,511
arxiv
\section{Introduction} \label{sec:intro} We consider the Cauchy problem for the following Hartree equation \begin{equation} \label{eq:r3} i{\partial}_t u + \Delta u = \(K\ast |u|^2\)u,\quad t\in \R, \ x\in\R^d;\quad u_{\mid t=0}=u_0, \end{equation} where $K$ denotes the Hartree kernel. We first deal with the c...
1,314,259,996,512
arxiv
\section{Introduction} Let $T^2 = \mathbb{R}^2/\mathbb{Z}^2$ denote the usual torus and, using the standard basis, identify $T^2$ with the quotient $H_1(T^2, \mathbb{R})/H_1(T^2, \mathbb{Z})$. Equip $T^2$ with the Euclidean metric. The following result is well-known: \begin{thm} \label{thm:torusversion} Suppose $f...
1,314,259,996,513
arxiv
\section{Introduction} In the recent years, quantum information processes have developed rapidly \cite{book}, among which the most important branches are the long-distance quantum communication and quantum computation. Entanglement, which is a uniquely quantum mechanical feature, is considered to be an essentia...
1,314,259,996,514
arxiv
\section{Introduction} Spectropolarimetry has been used in many fields as a diagnostic tool for deriving properties of astrophysical fluids. There are many types of spectropolarimetric models and observed polarized line profile morphologies across the HR diagram. The mechanisms invoked to explain these profiles inclu...
1,314,259,996,515
arxiv
\section{INTRODUCTION}\label{sec:intro} \vspace{-0.1cm} A reliable determination of the valence-band offset (VBO) at the (0001) polar interface between wurtzite AlN and GaN is still missing. The few experimental investigations available \cite{Waldrop.APL,Martin.APL68} are in mutual disagreement, and theoretical s...
1,314,259,996,516
arxiv
\section{S1. Verification of Sampler Using Synthetic Data} The figure below shows a bivariate density plot for rates and excitation probabilities learned using the sampler described in the main manuscript for synthetically generated data. The six rates that were used are 0.01, 0.1, 0.5, 2.0, 4.0, and 10.0 ns$^{-1}$, ...
1,314,259,996,517
arxiv
\section{Introduction} During the last two decades observational cosmology has entered an era of unprecedented precision. Cosmic microwave background (CMB) measurements~\cite{Bennett:2012zja, Ade:2013zuv}, baryon acoustic oscillations (BAO)~\cite{Lampeitl:2009jq} and observations of Type Ia Supernovae~\cite{Riess:2009...
1,314,259,996,518
arxiv
\section{Introduction} A subalgebra $\mathcal{A}$ of the algebra $\mathcal{B}(\mathcal{H})$ of all bounded operators on a Hilbert space $\mathcal{H}$ is said to be \textit{inverse-closed} if every $a\in\mathcal{A}$ which is invertible in $\mathcal{B}(\mathcal{H})$ is also invertible in $\mathcal{A}$. The question whet...
1,314,259,996,519
arxiv
\section{Conclusions and Future Work} \vspace{-5pt} This work is a preliminary study to explain the reason for similar or different application resilience between the serial and parallel executions. For the future work, we will investigate more benchmarks and establish a model to predict application resilience for ...
1,314,259,996,520
arxiv
\section{Introduction} \label{sec:intro} Celestial mechanics, the field that deals with the motion of celestial objects, has been an active field of research since the days of Newton and Kepler. Analytic solutions only exist for a few special cases. Historically, the main driver for the development of perturbation the...
1,314,259,996,521
arxiv
\section{Introduction and Results} \setcounter{equation}{0} The propagation of strings in Friedmann-Robertson-Walker (FRW) cosmologies has been investigated using both exact and approximative methods, see for example Refs.[1-8] (as well as numerical methods, which shall not be discussed here). Except for anti de Sitter...
1,314,259,996,522
arxiv
\section{Introduction} This is a personal account of a career of 50 years which strongly overlapped with two of the many of Dick Dalitz's interests, hypernuclei and the low energy $\bar{K}N$ system. As a new graduate student, I first met Dick about 50 years ago when he gave a seminar on the low energy $\bar{K}N$ syst...
1,314,259,996,523
arxiv
\subsection{Composition of Dataset} For the selection of suitable training data we thus looked at a variety of available datasets which should provide a more balanced set of images for surface types as a whole. In addition, composing training data from multiple datasets has the advantage of covering several differen...
1,314,259,996,524
arxiv
\section{Introduction} Complexity theory finds its root in three different papers that, in the span of a single year, tackled the difficult question of defining a notion of \emph{feasible} computation \cite{ cobham,edmonds65,hartmanisstearns}. Interestingly, the three authors independently came up with the same answer...
1,314,259,996,525
arxiv
\section{Introduction} Calculations of x-ray absorption spectra (XAS) at finite temperature (FT) have been carried out routinely in recent years. These studies range from relatively low temperatures up to a few hundred K (LT), to the warm dense matter (WDM) regime at high-temperatures (...
1,314,259,996,526
arxiv
\section{Introduction} \label{sec:intro} The last hundred years have provided a great impulse towards the knowledge of the history and fate of the Universe. The field equations of general relativity formulated by \citet{einstein1915feldgleichungen} on one hand, the \citet{friedmann1922krummung}, \citet{lemaitre1927lema...
1,314,259,996,527
arxiv
\section{Introduction} The production of heavy flavors, like bottom and charm, is a cornerstone high-energy collider process. It offers a wealth of information about the Standard Model and represents an excellent tool for probing the QCD dynamics. Heavy flavor production has been extensively studied at past and pres...
1,314,259,996,528
arxiv
\section{Introduction} Thanks to the development of sensors, GPS devices, and satellite systems, a wide variety of spatial data are being accumulated, including climate~\cite{stralberg2015projecting,wang2016locally}, traffic~\cite{zheng2014urban,yuan2011t}, economic, and social data~\cite{haining1993spatial,shadbolt20...
1,314,259,996,529
arxiv
\chapter*{Preface} This book represents an account and contextualization of a research program that was executed by the authors and their collaborators over the period of several years. Both authors began their careers in classical geometric group theory and began collaborating on projects about right-angled Artin g...
1,314,259,996,530
arxiv
\section{Introduction} \IEEEPARstart{T}{he} gaze estimation is a process of identifying the line-of-sight of the pupils at a particular instant. Eye gaze provides an important information about human visual attention and cognitive process~\cite{mason2004look,sun2014toward,wang2017deep}. It has a wide range of interact...
1,314,259,996,531
arxiv
\section{Introduction} Investigation of protein and colloidal systems has focused the attention of the scientific community on the phase-diagram behavior of short-range attractive potentials and of the role of the range of interaction in controlling the thermodynamic and dynamic properties of the system\cite{Lekkerk...
1,314,259,996,532
arxiv
\section{Introduction} \label{ug1} A {\it Kuranishi space\/} is a topological space with a {\it Kuranishi structure}, defined by Fukaya and Ono \cite{FuOn,FOOO}. Let $Y$ be an orbifold and $R$ a ${\mathbin{\mathbb Q}}$-algebra. In the book \cite{Joyc1} the author develops {\it Kuranishi homology\/} $KH_*(Y;R)$ and {\i...
1,314,259,996,533
arxiv
\section{Introduction} Proving \emph{termination} of \emph{term rewrite systems (TRS\REV{s}{})} is one of the most important task\REV{s}{} in program verification and automated theorem proving, where \emph{reduction orders} play a fundamental role. The classic use of reduction orders in termination proving is ...
1,314,259,996,534
arxiv
\section{Introduction} The chiral Potts model was originally introduced \cite{Ostlund,Kardar,Huse,Huse2,Caflisch} to model the full phase diagram of krypton monolayers, including the epitaxial and incommensurate ordered phases. In addition to being useful in the analysis of surface layers, the chiral Potts model has be...
1,314,259,996,535
arxiv
\section{Introduction} Cold nuclear matter at subsaturation density as $\alpha $ matter has been subjected to a critical study for some time \cite{cla,car}. The aim is to understand the $\alpha $-clustering near the surface of heavy nuclei or the putative dilute alpha-condensate in light 4n nuclei. In astrophysical c...
1,314,259,996,536
arxiv
\subsection{I. Introduction} Wafer-scale methods for the epitaxial growth of thin films of Aluminum (Al) on Indium Arsenide (InAs) heterostructures have recently been developed which yield uniform and atomically flat interfaces \cite{Kaushini2018,Shabani2016, JoonSue, Pauka2019}. Josephson junctions fabricated on thes...
1,314,259,996,537
arxiv
\section{INTRODUCTION} High-temperature plasmas exist in the clusters of galaxies (Arnaud et al. 1994; Markevitch et al. 1994; Markevitch et al. 1996; Holzapfel et al. 1997). Some clusters have extremely high-temperature electrons, $k_{B} T_{e}$ = $10 \sim 15$keV. Relativistic expressions for the thermal bremsstr...
1,314,259,996,538
arxiv
\section{Introduction}\label{sec:intro} Emerging software-defined communication networks provide \emph{direct} and ``\emph{algorithmic}'' control over the forwarding rules of nodes (i.e., routers and switches) and hence the network \emph{routes}. The resulting routes are not restricted to follow only shortest path...
1,314,259,996,539
arxiv
\section{Introduction} Let $\mathcal{F}$ be a tiling of $\Re^2$ with convex polygons. Following \cite{DomLan}, we call a point $p \in \Re^2$ an \emph{irregular vertex} of $\mathcal{F}$ if it is a vertex of a tile, and a relative interior point of an edge of another one; compare Figure \ref{fig:final_tiling}: the edge ...
1,314,259,996,540
arxiv
\section{Introduction} Suppose that $\mathcal{H}$ is a random Hermitian matrix of size $N\times N$ taken from the Gaussian Unitary Ensemble (GUE), with ensemble distribution given by the measure \begin{equation} \label{dens} Const. \exp \left[-2N\mathrm{Tr}(\mathcal{H}^{2})\right]\, \prod_{j=1}^N d\mathcal{H}_{jj} \pro...
1,314,259,996,541
arxiv
\section{Introduction}\label{Sec:Intro} Consider the MILP problem \begin{equation}\label{eq:MILPAlg} \begin{split} z^\text{IP}:= \min\limits_{ \mb{x}_1, \cdots \mb{x}_N}& \sum_{\nu \in {\cal P} } \mb{c}^\top_\nu \mb{x}_\nu \\ \text{s.t. } & \mb{x}_\nu \in X_\nu, \, \forall \nu\in {\cal P}, \\ & \sum_{\nu\in {\cal...
1,314,259,996,542
arxiv
\section{Introduction}\label{sec:intro} Our goal in this paper is to prove various refinements of the following assertion: \begin{theorem}[Main Theorem]\label{theorem:intro} If $M$ and $N$ are modules over a commutative ring $R$ with $N$ Noetherian, then the existence of an injection in $\Hom_R(N,M)$ is a local ...
1,314,259,996,543
arxiv
\section{Introduction}\label{sec:Intro} Coordinated networks of mobile robots are already in use for environmental monitoring and warehouse logistics. In the near future, autonomous robotic teams will revolutionize transportation of passengers and goods, search and rescue operations, and other applications. These task...
1,314,259,996,544
arxiv
\section{Introduction} Understanding the physical processes involved in the evolution of galaxies is a key goal of extragalactic astronomy. Although stellar (or halo) mass is emerging as playing a fundamental role for galaxy evolution, environmental influences may also have an impact \citep{kauf03a,kauf04,bald06,cucc1...
1,314,259,996,545
arxiv
\section{Introduction} \label{1} During disruptive events, like the COVID-19 pandemic, it becomes important for policy makers to quickly estimate the impact of the event on various parameters like GDP (Gross Domestic Product), unemployment rate, industrial output, etc. Existing methods to collect or estimate these par...
1,314,259,996,546
arxiv
\section{Introduction} In \cite{bmmpcr2008}, given $f:\mathbb{D}\mathrel{\mathop:}= \{z\in \mathbb{C}:|z|<1 \}\rightarrow \mathbb{C}$ analytic, $f (0)=0$, we considered different ways of measuring $f (r\mathbb{D})$ for $0<r<1$. \begin{itemize} \item Maximum modulus: $\operatorname{Rad} f (r\mathbb{D})=\max_{|z|\leq r...
1,314,259,996,547
arxiv
\section{Introduction} The computer package {\tt DIZET} was created as electroweak and QCD library of the {\tt ZFITTER} program~\cite{Bardin:1999yd,Arbuzov:2005ma} which was one of the main tools for the high-precision verification of the Standard Model at LEP~\cite{ALEPH:2005ab}. {\tt DIZET} can also be linked as a...
1,314,259,996,548
arxiv
\section{Introduction} Action principles for systems with boundaries are a fundamental tool in studying quantum effects in diffeomorphism invariant systems. They have been used to derive black hole entropy in the semiclassical approximation \cite{HI} and to discuss the pair creation and annihilation of magnetically ch...
1,314,259,996,549
arxiv
\section{Introduction} \medskip \medskip Let $N\geq 1$ be an integer and let $\Gamma=\Gamma(N)$ be a principal congruence subgroup of $SL_2(\mathbb Z)$. In \cite{CM1}, \cite{CM2}, Connes and Moscovici have introduced the ``modular Hecke algebra'' $\mathcal A(\Gamma)$ that combines the pointwise product on modular ...
1,314,259,996,550
arxiv
\section{Introduction} In cluster populations with a power law cluster initial mass function (CIMF) the highest appearing mass in a sample is determined by the number of clusters (besides statistical fluctuations). This is no longer true if there exists a physical upper mass limit for clusters. Information about the C...
1,314,259,996,551
arxiv
\subsection{Dataset}\label{subsec:data} We evaluate the performance of our method on StudentLife dataset~\cite{wang2014studentlife} which is collected from 48 Dartmouth students over a 10 week term. It contains sensor data, EMA data (Ecological Momentary Assessment, i.e. stress), pre and post survey responses (i.e. P...
1,314,259,996,552
arxiv
\section{Introduction and preliminary results} \setcounter{equation}{0} Polyanalytic functions were introduced in 1908 by Kolossov to solve problems in elasticity theory, see \cite{kolossov}. For a general introduction to this topic see \cite{Alpay2015, Balk1991, balk_ency}. In more recent times, this function theory w...
1,314,259,996,553
arxiv
\section*{Introduction and Summary} Classical elasticity theory rests on the hypothesis that a solid may exist in a stress-free state in Euclidean space. The dynamics of the solid is then described by a time-dependent mapping taking the position of each material particle in this relaxed reference state to its actual...
1,314,259,996,554
arxiv
\section{Introduction} The construction for blowing up points and subspaces which is a mainstay in algebraic geometry, especially in the resolution of singularities, is investigated here from a dynamical point of view. The blowup in this sense of a point $p$ in a smooth manifold $M^n$ is a map of manifolds, $q\colon ...
1,314,259,996,555
arxiv
\section{Introduction} \IEEEPARstart{T}{he} Gut Bacteriome (GB) is an ecosystem of a massive number of bacterial cells which play a vital role in maintaining the stability of the host's metabolism\cite{ursell2012defining}. The bacterial populations of the GB build complex interaction networks by exchanging metabolite...
1,314,259,996,556
arxiv
\section{Introduction} \subsection{Motivations} \IEEEPARstart{T}{he} proliferation of mobile devices is leading to an explosion of global mobile traffic, which is estimated to reach 30.6 exabytes per month by 2020 \cite{Cisco2016}. To accommodate this {{rapidly}} growing mobile traffic, 3GPP has been working on proposa...
1,314,259,996,557
arxiv
\section{\bf{Introduction}} A basic feature of quantum cosmology is that the universe starts with a quantum character being dominated by quantum uncertainty and eventually it then becomes large and completely classical. In quantum cosmology the universe is described by a wavefunction $\Psi $ which satisfies the equatio...
1,314,259,996,558
arxiv
\section{Introduction} Since the discovery of superconductivity in LaFeAs(O$_{1-x}$F$_x$) \cite{Kam08}, high transition temperatures ($T_c$) up to 56~K have been reported in the doped Fe-based oxypnictides \cite{Tak08,Che08Ce,Ren08Pr,Ren08Nd,Kit08Nd,Che08Sm,Yan08Gd,Wan08Gd}. The new high-temperature superconductivity ...
1,314,259,996,559
arxiv
\section{Introduction} For $\alpha>0$ we consider the Cauchy problem for the Navier-Stokes equations with fractional dissipation (of order $\alpha$) in three space dimensions \begin{equation}\label{eq: NSalpha} \begin{cases} \partial_t u + (u\cdot \nabla) u + \nabla p = - (-\Delta)^\alpha u \\ \div u = \, . \end{cas...
1,314,259,996,560
arxiv
\section{Introduction} \label{Int} General Theory of Relativity (GR) is the cornerstone of astrophysics and cosmology, giving predictions with unprecedented success. At astrophysical scales GR has been tested in, for example, the solar system, stellar dynamics, black hole formation and evolution, among others (see fo...
1,314,259,996,561
arxiv
\section{Introduction} Cluster analysis is the search for a priori unknown group structure in data. Model-based clustering is increasingly becoming one of the most popular cluster analysis methods. Model-based clustering is based on Finite mixture models \citep{McLachlan:Peel:2000}, with each component density usuall...
1,314,259,996,562
arxiv
\section{Bigger Picture} \begin{abstract} Molecular discovery is a multi-objective optimization problem that requires identifying a molecule or set of molecules that balance multiple, often competing, properties. % Multi-objective molecular design is commonly addressed by combining properties of interest into a sin...