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1,314,259,993,563
arxiv
\section{Introduction} Broad Feshbach resonances in two-component atomic Fermi gases have made it possible to explore the crossover between Bardeen-Cooper-Schrieffer (BCS) superfluidity and Bose-Einstein condensation (BEC) \cite{Chin2010,Shin:2008,zwierlein-2006-442}. In the strongly interacting regime the difficu...
1,314,259,993,564
arxiv
\section{Introduction} \noindent In this paper, we study the following fractional Kirchhoff-Schr\"{o}dinger-Poisson system involving a singular term. \begin{align}\label{problem main} \begin{split} \left(a+b\int_{Q}\frac{(u(x)-u(y))^2}{|x-y|^{N+2s}}\right)(-\Delta)^{s} u+\phi u&=\lambda h(x)u^{-\gamma}+f(x,u)~\tex...
1,314,259,993,565
arxiv
\section{Introduction} The exclusive production of mesons was studied in the past mostly close to the kinematical threshold. The Tevatron is a first accelerator which opens a possibility to study the (semi)exclusive production of mesons at high energies. A similar program will be carried out in the future at just bei...
1,314,259,993,566
arxiv
\section{Introduction} In 1976 Michael Atiyah \cite{Atiyah:1976:elliptic} introduced $L^2$-cohomology and $L^2$-Betti numbers of manifolds with non-trivial fundamental group and asked whether these numbers can be irrational. For background on these concepts we refer to the book~\cite{Lueck:2002:invariants}. It was sh...
1,314,259,993,567
arxiv
\section{Introduction} \label{Sec1:Intro} We consider optimal control problems with time-periodic pa\-ra\-bolic state equations. Problems of this type often arise in different practical applications, e.g., in electromagnetics, chemistry, biology, or heat transfer, see also \cite{LRW:Altmann:2013, LRW:AltmannStingel...
1,314,259,993,568
arxiv
\section{Introduction} The goal of Text Simplification (TS) is to produce easily understandable texts that benefit disadvantaged readers such as children, dyslexic, or language learners. Simplifications are often generated by adapting a source text written for adult/native readers. However, recent work in simplificat...
1,314,259,993,569
arxiv
\section{Introduction} Deep learning approaches to speech enhancement represent a significant leap in performance over previous approaches, such as the decision-directed (DD) approach \cite{1164453}. Multi-layer perceptrons (MLPs) were amongst the first artificial neural networks (ANNs) used for speech enhancement \ci...
1,314,259,993,570
arxiv
\section{Introduction} \label{sec1} The quantum approach that is commonly known as Bohmian mechanics\footnote{Within the field of the quantum foundations, Bohmian mechanics is also widely known as the de Broglie-Bohm interpretation. However, in recent times the term Bohmian mechanics has become more widespread when it...
1,314,259,993,571
arxiv
\section{Doubly stochastic matrices and scaling} Let $A = (a_{i,j})$ be an $n \times n$ matrix. For $i \in \{1,\ldots, n\}$, the $i$th \emph{row sum}\index{row sum} of $A$ is \[ \rowsum_i(A) = \sum_{j=1}^n a_{i,j}. \] For $j \in \{1,\ldots, n\}$, the $j$th \emph{column sum}\index{column sum} of $A$ is \[ \colsum_j(A)...
1,314,259,993,572
arxiv
\section{Introduction} For a set $V$ and a positive integer $r$, let $V^{(r)}$ be the family of all $r$-subsets of $V$. An $r$-uniform hypergraph or $r$-graph $G$ consists of a set $V(G)$ of vertices and a set $E(G) \subseteq V(G) ^{(r)}$ of edges. When $r=2$, an $r$-graph is a simple graph. When $r\ge 3$, an $r...
1,314,259,993,573
arxiv
\section{Introduction} \label{prva} A close-packed dimer model is a classical example of a lattice statistical mechanical model that can be solved exactly on regular planar lattices. It has emerged as a simplified version of the so called monomer-dimer model, that was introduced in 1937 by Fowler and Rushbroke...
1,314,259,993,574
arxiv
\section{\label{sec1}Introduction} The unique properties of the Majorana fermion behaving as its own anti-particle and the existence of particle and anti-particle in the same system are the subjects of intense research interest in various branches of physics, especially in quantum many-body systems since its propos...
1,314,259,993,575
arxiv
\section{Introduction} \label{INTRO}\label{sec:intro} Understanding the power of quantum algorithms has been a central research goal over the last few decades. One success story in this regard has been the discovery of powerful methods that establish limitations on quantum algorithms in the standard setting of \emph{q...
1,314,259,993,576
arxiv
\section{Related Work} \label{sec:related_work} \subsection{Traditional methods} Many traditional methods for denoising such as BM3D \cite{dabov2006image}, non-local means \cite{buades2011non}, and weighted non-nuclear norm minimizaiton \cite{gu2014weighted} perform denoising by comparing the neighborhood of a pixel ...
1,314,259,993,577
arxiv
\section{Introduction} The structure of nucleons has been studied extensively in experiments, and nucleons also play a vital role as experimental probes. This makes the controlled study of nucleons using lattice QCD a very attractive goal. Some of the simplest matrix elements of interest include the scalar and tensor ...
1,314,259,993,578
arxiv
\section{Introduction. Infrared Instabilities and Dynamical Chaos} Recently, the nonperturbative treatment of the high multiplicity scattering amplitudes which are not suppressed in the weak coupling limit has attracted attention \cite{RT92,GNV92,Gong94,Hu95}. It is quite natural in the connection with the exciting e...
1,314,259,993,579
arxiv
\section{Introduction} \label{sec:intro} Understanding the behaviour of stellar magnetic activity, and the nature of the underlying dynamo mechanism, are some of the most pressing challenges in solar and stellar physics. It is well known that the Sun displays an 11~yr sun spot cycle. Since the first detection of cyclic...
1,314,259,993,580
arxiv
\section{Introduction} \label{sec:introduction} Deep Neural Networks (DNNs) and specifically Convolutional Neural Networks (CNNs) have recently attained significant success in image and video classification tasks. \behzad{They} are fundamental for state-of-the-art real-world applications running on embedded systems as ...
1,314,259,993,581
arxiv
\section{Introduction} An emerging problem in Theoretical Computer Science and Data Science is the low-rank approximation $\bZ\bZ^T\bA$ of a matrix $\bA\in\rmn$ by means of an orthonormal basis $\bZ\in\real^{m\times k}$ \cite{Drineas2016,TCS-060}. The ideal low-rank approximation consists of the left singular vecto...
1,314,259,993,582
arxiv
\section{Introduction} The main asteroid belt is collisionally dominated with large asteroids' shapes, sizes and surface geology controlled by impacts. Studies of collisions help us to understand the evolution of the shape of the asteroid population and in turn the formation of our Solar system. These studies may invo...
1,314,259,993,583
arxiv
\section{Introduction} As of 2019, the {\it {Kepler mission}} has discovered approximately ten circumbinary (CB) planetary systems. All binary components define compact systems with orbital periods less than $\sim 40$ days and a wide range of eccentricities and mass ratios. The planets surrounding them also have a ...
1,314,259,993,584
arxiv
\section{Introduction} Gas layers dramatically affect the flow boundary conditions in microfluidic systems, reducing drag by up to 75\%, \cite{lee2016superhydrophobic} but are frequently overlooked when one or more dimension is nanoscale due to difficulty in detecting them. Nanoscale gas layers, also known as surface ...
1,314,259,993,585
arxiv
\section{Charged Lepton Flavor Violation and muon to electron conversion} \label{sec:intro} Within the Standard Model (SM), transitions in the lepton sector between charged and neutral particles preserve flavor, since the neutrinos are considered massless. Even considering the discovery of neutrino oscillations, in t...
1,314,259,993,586
arxiv
\section{Acknowledgement} We would like to thank Burkhard D\"{u}nweg, Kostas Daoulas, Tristan Bereau, Cristina Greco, Horacio Vargas, Torsten Stuehn and Alexander Grosberg for stimulating discussions.
1,314,259,993,587
arxiv
\section{Introduction} Recently discovered\cite{top_disc} by the CDF and D0 Collaborations, the top quark is the least well understood fundamental particle. As a consequence of its enormous mass, around 175 GeV$/$c$^2$, this hefty particle has a lifetime shorter than the hadronization timescale. With the top mass clo...
1,314,259,993,588
arxiv
\section{Sketch of Analysis} To analyze the algorithm shown in Figure~\ref{alg:lazy}, first we decompose the regret into a number of terms, which are then bounded one by one. Let $\widetilde{x}_{t+1}^a \sim P(.\,|\,x_t,a,\TTh_t)$, i.e. an imaginary next state sample assuming we take action $a$ in state $x_t$ when par...
1,314,259,993,589
arxiv
\section{Introduction} The recent development of the Internet of Things (IoT) promises to connect billions of smart devices. The dynamic underground environment is a frontier of IoT, where wireless sensors are employed to monitor soil status for designing climate-smart agriculture systems, studying forest dynamics, and...
1,314,259,993,590
arxiv
\section{Introduction}\label{S0} In its simplest form the \emph{light bulb lemma} \cite{Ga} asserts that if a surface $R$ in the 4-manifold $M$ has a geometrically dual sphere $G$, then one can perform the \emph{crossing change} of Figure 1 (Figure 2.1 in \cite{Ga}) via an isotopy of $R$, provided there is a path...
1,314,259,993,591
arxiv
\section{Introduction} Protostellar jets are spectacular signposts of star formation. They are highly collimated structures consisting of a chain of knots and bow shocks, emanating from young protostellar objects, propagating away at highly supersonic speeds. Since they are believed to be launched from accretion dis...
1,314,259,993,592
arxiv
\section{Introduction} Due to the downscaling of modern nanoelectronic devices the surface-to-volume ratio increases continuously and the surface becomes increasingly important as an additional conductance channel for charge transport. To assess the influence of this surface channel on the device performance or even b...
1,314,259,993,593
arxiv
\section{Introduction} \PARstart{C}{admium} Zinc Telluride (CZT) is rapidly coming of age as a detector material for photons from a few keV to a few MeV. It offers superior spatial and energy resolution compared to scintillators; and it is more economical and compact compared to Ge, particularly considering that CZT d...
1,314,259,993,594
arxiv
\section{Introduction} The determination of hadronic parameters, in particular meson-baryon coupling constants, requires some information about the physics at large distances. Therefore one has to employ some specific nonperturbative method to obtain detailed predictions. Among the various nonperturbative methods, QCD ...
1,314,259,993,595
arxiv
\section{Introduction} \noindent In this paper, we consider only simple and finite graphs. We use $V(G)$ for the vertex set and $E(G)$ for the edge set of a graph $G$. The neighborhood, $N_G(v)$ or shortly $N(v)$ of a vertex $v$ of $G$ is the set of all vertices adjacent to $v$ in $G$. For further graph-theoretic termi...
1,314,259,993,596
arxiv
\section{Introduction} \label{sec:introduction} In recent years, machine learning, especially deep learning, has been applied to various domains (\textit{e.g.}, computer vision, speech recognition, and video analytics). Emerging \textit{Intelligent Applications} (IAs) such as image classification based on deep Convolut...
1,314,259,993,597
arxiv
\section{Introduction} The discovery of the Higgs boson at the Large Hadron Collider (LHC) has completed the standard model particle spectrum. The most important task is now to find physics beyond the standard model. Precision study of the Higgs boson is a powerful tool for this purpose. The International Linear Colli...
1,314,259,993,598
arxiv
\section{Introduction} Distributed Energy Resources (DER), such as rooftop solar and wind turbine, have seen widespread proliferation among consumers in recent years\cite{IEA}. In addition, the advent of Smart Grid (SG) technologies, Advanced Metering Infrastructures (AMI), and home energy management systems, have add...
1,314,259,993,599
arxiv
\section{Introduction} The aerosolization of biomatter caused by flushing toilets has long been known to be a potential source of transmission of infectious microorganisms~\cite{Darlow1959,Gerba1975}. Toilet flushing can generate large quantities of microbe-containing aerosols~\cite{Johnson2013} depending on the desig...
1,314,259,993,600
arxiv
\section{Introduction} One of the oldest mathematical problems is to solve a linear system, that is to find a solution $\*x$ satisfying $\*A\*x = \*b$ given an $n \times n$ matrix $\*A$ and a $n$-dimensional vector $\*b$ as input. In the RealRAM model this can be done in $O(n^{\omega})$ time, where $\omega \leq 2.3728...
1,314,259,993,601
arxiv
\section{Formalism} \subsection{Transport} Our method generalises the purely classical Boltzmann-Green-function theory of Stanton and Wilkins.\cite{swI,swII,swt} We start with the one-body transport equation. For simplicity consider a uniform conductor. The semiclassical one-electron Boltzmann equation is \begin{eqn...
1,314,259,993,602
arxiv
\section{Introduction} \label{sec:introduction} Observations of cosmological perturbations on quasilinear scales, with the cosmic microwave background (CMB) and large scale structure (LSS), have resulted in precise measurements of fundamental cosmological parameters. However, quasilinear scales contain only a small...
1,314,259,993,603
arxiv
\section{Introduction} The notion of $p$-adic modular forms was introduced by Serre in the study of congruences between modular forms. It is well-known that to get a better spectral theory of the $U_p$-operator, one should consider the subspace of \textit{overconvergent} modular forms, on which $U_p$ acts completely co...
1,314,259,993,604
arxiv
\section{Introduction} \label{sec:Intro} Defining off-shell amplitudes in closed string field theory requires selecting a set of string vertices $\mathcal{V}_{g,n}$ with $2g-2+n > 0$~\cite{Zwiebach:1992ie,Erler:2019loq}. These are subsets of the moduli spaces $\widehat{\mathcal{P}}_{g,n}$ of compact Riemann surfaces o...
1,314,259,993,605
arxiv
\section{Introduction} According to many textbooks, a hallmark of turbulence is its unpredictability \cite{tritton1988,tennekes1972}. Here we address this issue using experimental data from a turbulent soap film. The starting point is Shannon's information theory \cite{shannon1964,cover1991,brillouin1962}, where in...
1,314,259,993,606
arxiv
\section{Introduction} Amodal segmentation aims to infer the amodal mask, including both the visible region and the possible invisible region of the target object. Different from semantic segmentation or traditional instance segmentation, amodal segmentation is designed to exploit the amodal perception capability \cit...
1,314,259,993,607
arxiv
\section{Introduction} \label{sect-Introduction} \setcounter{equation}{0} In this paper we are interested in the following {\it mean-field-type} stochastic control problem, on a given filtered probability space $(\Omega, {\cal F}, \mathbb{P};\mathbb{F}=\{{\cal F}_t\}_{t\ge 0})$: \begin{eqnarray} \label{SDE-0} \left...
1,314,259,993,608
arxiv
\section{Introduction} Given a domain $\Omega \subset \Cb^d$ let $\Aut(\Omega)$ denote the biholomorphism group of $\Omega$. When $\Omega$ is bounded, H. Cartan proved that $\Aut(\Omega)$ is a Lie group (with possibly infinitely many connected components) and acts properly on $\Omega$. An old theorem of Wong-Rosay~\...
1,314,259,993,609
arxiv
\section{...} \renewcommand{\theequation}{\Alph{app}.\arabic{equation}} \newcommand{\sect}[1]{ \section{#1} \setcounter{equation}{0} } \begin{document} \begin{titlepage} \title{Effective Action for the \\ Chiral Quark--Meson Model\thanks{Supported by the Deutsche Forschungsgemeinschaft}} \author{{\s...
1,314,259,993,610
arxiv
\section*{Introduction} \noindent The ground field $\bbk$ is algebraically closed and of characteristic $0$. In 1976, Vinberg et al{.} classified the irreducible representations of simple algebraic groups with polynomial rings of invariants~\cite{KPV76}. Such representations are sometimes called {\it coregular}. The...
1,314,259,993,611
arxiv
\section{INTRODUCTION} \label{INTRODUCTION} The prevalence of more affordable high-speed internet and high-resolution cameras on mobile devices has enabled widespread live-streaming practices on the platforms like Tiktok, Twitch, and Youtube. Streamers share a wide range of live videos regarding pan entertainment~\cite...
1,314,259,993,612
arxiv
\section{Introduction} According to Binney and Tremaine [1], the process of transformation of the universe may be divided into four main eras, which are vacuum energy era (or, Planck era), radiation era $\&$ matter dominated era and the dark energy era (or, de Sitter era). The universe goes through a stage of early in...
1,314,259,993,613
arxiv
\section{Introduction} It has been shown that certain computational tasks, such as search \cite{Grover:1996rk} and factorization \cite{Shor:1994:AQC:1398518.1399018}, can be performed faster by a quantum computer than a classical one. This speed up over the classical information scheme can be attributed to hallmark p...
1,314,259,993,614
arxiv
\section{Introduction} A successful model of formation and evolution of galaxy clusters must explain, among other properties, the observed morphology segregation found in nearby rich clusters. The first detected difference between galaxy populations was the strong gradient in morphological type with radial distance, ...
1,314,259,993,615
arxiv
\section{Introduction} Post-asymptotic giant branch (post-AGB) stars are luminous (10$^3$-10$^4$~L$_{\sun}$) evolved stars with initial masses in the range 0.8-8~M$_{\sun}$ \citep*[see][for a general review]{vw03}. At the end of the AGB phase, mass-loss rates can peak at over $10^{-4}$ M$_{\sun}$~yr$^{-1}$ before drop...
1,314,259,993,616
arxiv
\section{Introduction} In Hamiltonian systems, important results (e.g. KAM theorem, Aubry-Mather theory and Nekhoroshev theorem) assume that the orbits have a monotonic frequency profile, known as twist condition \cite{meiss1992,lichtenberg,lochak1992}. However, many physical systems of physical importance may not sat...
1,314,259,993,617
arxiv
\section{Introduction} In strongly correlated materials\cite{RPP2017,Giustino_2021} various energy scales compete in defining the ground state. Perturbing their balance, e.g., through pressure or doping, may induce a multitude of different long-range orders or trigger metal-insulator transitions.\cite{imada} Particular...
1,314,259,993,618
arxiv
\section{Introduction} The transverse field Ising antiferromagnet on the triangular lattice, with Hamiltonian, \begin{equation} H_{\rm Ising} = J_{1}\sum_{\langle \vec{R} \vec{R}'\rangle }\sigma^z_{\vec{R}} \sigma^z_{\vec{R}'} -\Gamma \sum_{\vec{R}}\sigma^x_{\vec{R}} -B \sum_{\vec{R}} \sigma^z_{\vec{R}}\; , \label...
1,314,259,993,619
arxiv
\section{Introduction} In the seminal paper~\cite{So70} Solovay proved that in the Levy model (after collapsing an inaccessible) every definable set is measurable and has the Baire property. In~\cite{Sh:176} Shelah showed that the inaccessible is necessary for measurability, but the Baire property of every definable...
1,314,259,993,620
arxiv
\section{Introduction} \label{sec:intro} The stellar initial mass function (IMF), which describes the mass distribution of stars in a population at birth, plays a vital role in many fields of astrophysics. The literature generally agrees that the IMF has a power-law form $\dd N/\dd \log M \propto M^{\Gamma}$ in the hi...
1,314,259,993,621
arxiv
\section{Introduction} \label{s:intoduction} Almost all the extensions of the Standard Model~(SM) directed towards an explanation for the neutrino masses brings in the possibility of lepton number violation~(LNV) as an outcome. It is well known that neutrinoless double beta decay~($0\nu\beta\beta~{\rm decay}$) which is...
1,314,259,993,622
arxiv
\section{Introduction} Among inverse spectral problems, let us mention the following question (see for instance \cite{ColVerd})\\ \textit{"What kind of increasing sequences of non negative numbers can be the spectrum of the Laplacian of a compact Riemannian manifold (respectively of the Dirichlet Laplacian on a dom...
1,314,259,993,623
arxiv
\section{Introduction} \label{sec.Intro} This paper is concerned with the space-time fractional stochastic partial differential equation (SPDE, for short) driven by the fractionally integrated additive noise of the form \begin{equation} \label{eq.model} \left\{ \begin{aligned} & \partial_t^{\alpha} X(t) + (-\Delta)^{...
1,314,259,993,624
arxiv
\subsection[\hspace{2cm}Skeleton Scheme for A=201]{ } \begin{figure}[h] \begin{center} \includegraphics[angle=90]{201skeleton-0.ps}\\ \end{center} \end{figure} \clearpage \begin{figure}[h] \begin{center} \includegraphics[angle=90]{201skeleton-1.ps}\\ \end{center} \end{figure} \clearpage \pagestyle{bob} \begin{center} \...
1,314,259,993,625
arxiv
\section{Introduction} \label{Sec:Introduction} Gianfausto Dell'Antonio has been always transmitting to younger collaborators the attitude to understand -- and explain -- a mathematical phenomenon in the simplest possible model which still captures its essential features. Remembering his recommendation, we devote t...
1,314,259,993,626
arxiv
\section{Introduction} \label{I} The main mission of statistical physics is to bridge the gap between different levels of description of physical systems, from a microscopic level where we know the laws governing each of the myriad of components of the system and their interactions, to a macroscopic level where the wh...
1,314,259,993,627
arxiv
\section{Method details} In this section, we explain detailed settings of the model designs and experimental analyzes conducted in main text. \smallskip \noindent\textbf{Texture control analysis.} Here, we describe detailed setups of the texture control analysis (Section 3.1, main text). In Figure 4a (main text), ea...
1,314,259,993,628
arxiv
\section{Introduction} In recent years, research in deep neural networks (DNNs) has been fueled by new available computational resources, which have brought a wide variety of new techniques for visual object recognition, object detection and speech recognition among many others~\cite{lecun2015deep}. The rise of DNNs in...
1,314,259,993,629
arxiv
\section{Introduction} Automatic generation and tuning of convolutional neural network (CNN) architectures is a growing research topic. The majority of approaches in the literature (for a deep overview, see Section~\ref{sec:related_works}) are rooted into the fundamental idea of large-scale explorations; more precis...
1,314,259,993,630
arxiv
\section{Introduction} Surfers on the Internet frequently use search engines to find pages satisfying their query. However, there are typically hundreds or thousands of relevant pages available on the Web. Thus, listing them in a proper order is a crucial and non-trivial task. One can use several criteria to sort rele...
1,314,259,993,631
arxiv
\section{Introduction} The theory of polymer adsorption at an impenetrable surface is a well established subject. Useful reviews can be found in \cite{DeBell} and \cite{Rensburg2000}. One of the standard models is self-avoiding walks, or SAWs, confined to a half-space and interacting with the confining line or ...
1,314,259,993,632
arxiv
\section{Introduction} \vspace{-5pt} Entity Resolution (ER) is the task of identifying different entity profiles that describe the same real-world object \cite{DBLP:journals/tkde/ElmagarmidIV07,DBLP:series/synthesis/2015Christophides}. It is a core task for Data Integration, applying to any kind of data, from the stru...
1,314,259,993,633
arxiv
\section{Introduction} Magnetite (Fe$_3$O$_4$) is the oldest known magnet and a fascinating material both for understanding the fundamental physics that emerge from electronic correlations, and for novel technologies related to oxide electronics \cite{Orozco-1999,Wu-2013,Liu-2013}. At ambient conditions, it crystalli...
1,314,259,993,634
arxiv
\section{Introduction} Several experiments have been conducted worldwide, with the goal of observing low-energy nuclear recoils induced by WIMPs scattering off target nuclei in ultra-sensitive, low-background detectors. In the last few decades noble liquid detectors designed to search for dark matter in the form of W...
1,314,259,993,635
arxiv
\section{Introduction} The unitary group $U(1)$ is compact with an invariant measure, and which may be modeled as acting by rotation on the circle $S^1\subset\C$ taken to have length 1. It is well known in this model that $U(1)$ is (monogenically) topologically generated by a rotation by any irrational angle.\footnote...
1,314,259,993,636
arxiv
\section{Introduction}\label{sec:introduction} Massive stars largely drive the dynamical and chemical evolution of gas in galaxies \citep[e.g.][]{Hopkins:2014}. They accomplish this via their stellar winds, eruptions, and explosive deaths, ultimately producing neutron stars and black holes \citep{Langer:2012}. These co...
1,314,259,993,637
arxiv
\section{Introduction} \noindent The study of traversable wormholes has received considerable attention from researchers for the past two decades. Although lacking observational evidence, wormholes are just as good a prediction of the general theory of relativity as black holes. In particular, we refer to the pi...
1,314,259,993,638
arxiv
\section{Introduction} Symmetry plays an important role in the electromagnetic (EM) response of matter. It is revealed in the form of susceptibilities relating electric and magnetic polarization ($\bVec{P}$ and $\bVec{M}$) with source EM field. In high symmetry case, $\bVec{P}$ and $\bVec{M}$ consist of (the ...
1,314,259,993,639
arxiv
\section{Introduction} \label{sec:Introduction} A central issue of fundamental research is the unification of quantum theory (QT) and general relativity (GR) in the framework of quantum gravity (QG). A critical scale in the context of this unification is the Planck scale defined as $l_{pl}=\sqrt{\frac{\hbar G}{c...
1,314,259,993,640
arxiv
\section{Introduction} Since the the discovery of the $2.7$~K cosmic microwave background (CMB) by \citet{penzias65}, rapid progress in instrumental sensitivity has permitted the detection of progressively subtler effects. The $\sim100~\mu$K temperature anisotropies, measured to high precision by the \textit{WMAP} an...
1,314,259,993,641
arxiv
\section{Introduction} The formation of planets is inherently entangled with the formation and evolution of their natal protoplanetary disks. The physical conditions and chemical composition at the onset of planet formation determine the properties of the resulting planetary systems \citep[e.g.,][]{Armitage2011,Oberg2...
1,314,259,993,642
arxiv
\section{Introduction}\label{sec:Intro} Let $\Gamma$ be a finitely generated group and $G$ be a connected semisimple Lie group. It is an interesting problem to select and study some connected components of the representation variety ${\rm Hom}(\Gamma,G)$ that consist of homomorphisms $\rho:\Gamma\to G$ that are well be...
1,314,259,993,643
arxiv
\section{Introduction} \label{sec:intro} Synthesizing realistic views from varying viewpoints is essential for interactions between humans and virtual environments, hence it is of key importance for many virtual reality applications. The novel view synthesis task is especially relevant for indoor scenes, where it en...
1,314,259,993,644
arxiv
\section{Originality and Value} This research presents a demand forecasting system of electronic components in manufacturing validated with real data. The contributions cover the areas of pre-processing, prediction and model selection and are suited for individuals with domain knowledge but limited understanding of m...
1,314,259,993,645
arxiv
\section{Introduction} Random numbers are needed in various applications, including cryptography \cite{Dav89}, stochastic optimization \cite{Aar89}, and Monte Carlo methods \cite{Bin92}. Because of practical reasons random numbers are usually produced by deterministic rules, implemented as pseudorandom number generato...
1,314,259,993,646
arxiv
\section{Introduction} We are aiming to describe the response of thermo-visco-elastic material to applied external forces and the heat flux through the boundary. The system of equations capturing the displacement, temperature and visco-elastic strain of the body is a consequence of physical principles such as bala...
1,314,259,993,647
arxiv
\section{Introduction} Solar wind (SW) speed is one of the most important factors in the solar wind-magnetosphere interaction. Long-term averages of SW speed are strongly modulated by the occurrence of high-speed streams (HSSs), which are known to originate from coronal holes \citep{Krieger_1973, Gosling_1976, Kojim...
1,314,259,993,648
arxiv
\section{\@startsection {section}{1}{\z@}{-1.5ex plus -.5ex minus -.2ex}{1ex plus .2ex}{\large\bf}} \makeatletter \def\subsection{\@startsection {subsection}{1}{\z@}{-1.5ex plus -.5ex minus -.2ex}{1ex plus .2ex}{\bf}} \newcommand\Lm{\Lambda} \newcommand{w}{w} \newcommand{w_\cS}{w_{\mathcal S}} \newcommand{{\ma...
1,314,259,993,649
arxiv
\section{Introduction} The phase diagram of quantum chromodynamics (QCD) is being actively studied in heavy ion collision experiments as well as theoretically. A form of matter with remarkable properties~\cite{Muller:2008zzm} has been observed in the Relativistic Heavy Ion Collider (RHIC) experiments~\cite{Arsene:20...
1,314,259,993,650
arxiv
\section{Conclusion} \label{sec:conclusion} Our approach to discover multi-relational patterns with maximum entropy models in a visual analytics tool is a significant step in formalizing a previously unarticulated knowledge discovery problem and supporting its solution in an interactive manner. We have primarily showc...
1,314,259,993,651
arxiv
\section{Introduction} The transverse momentum dependent (TMD) factorisation theorems for semi-inclusive deep inelastic scattering (SIDIS) and Drell-Yan type processes formulated in \cite{GarciaEchevarria:2011rb,Collins:2011zzd,Chiu:2012ir, Echevarria:2014rua} allow a consistent treatment of the rapidity divergences i...
1,314,259,993,652
arxiv
\section{Introduction} This paper studies the design of revenue-optimal mechanism in the two-item, one-buyer, unit-demand setting. The solution to the problem is well known when the buyer's value is one-dimensional (\citet{Mye81}). The problem however becomes much harder when the buyer's value is multi-dimensional. Th...
1,314,259,993,653
arxiv
\section*{Introduction} { Characterizing exoplanets atmospheres has recently become within reach. Nowadays, a significant number of atmospheric measurements have been acquired on a dozen of exoplanets. Unfortunately, none of those measurements were done with a dedicated instrument. Although { researchers have} made t...
1,314,259,993,654
arxiv
\section{Introduction} Higgs production via gluon fusion is one of the most important LHC processes. Its computation at higher orders requires renormalization and factorization to cancel UV and IR divergences. The renormalization is less trivial than the one of standard QCD processes due to the required renormalizatio...
1,314,259,993,655
arxiv
\section{Conclusion} \label{sec:conclusion} The automatic seizure detectors using frequency domain features of EEG signals and traditional machine learning techniques such as k-nearest neighbor and Support Vector Machine (SVM) have been extensively researched in literature \cite{kNN,nonlinear} in the past. Recently,...
1,314,259,993,656
arxiv
\section{INTRODUCTION} With the increasing applications of visual perception methods~\cite{bruls2018mark,valada2017adapnet,kumar2021omnidet,zou2022real} in robotics and autonomous driving, the robustness of these methods has become more and more important in their visual system. However, the performance of current vis...
1,314,259,993,657
arxiv
\section{Introduction}\label{sec:introduction} Modelling temporal series of data is important in many different domains, including disciplines as diverse as hydrology or economics, but also to monitor and understand human behaviours from wireless sensor networks in smart environments \cite{Sun15,Galiana14,LeBorgne0...
1,314,259,993,658
arxiv
\section{The weak law of the excluded middle} Let ${\sf IPC}$ denote the intuitionistic propositional calculus. The weak law of the excluded middle ({w.l.e.m.}\ for short) is the principle \begin{equation} \label{wlem} \neg p \vee \neg\neg p. \end{equation} We view this as an axiom {\em schema\/}, in which we can subs...
1,314,259,993,659
arxiv
\section{Introduction} Survival analysis, also known as time-to-event analysis aims to predict the first time of the occurrence of a stochastic event, conditioned on a set of features. An example in the case of medical data is the time of death or a graft failure after an operation. In cases where the time of event for...
1,314,259,993,660
arxiv
\section{\bf #1}}} \newcommand{\SUBSECTION}[1]{\bigskip{\large\subsection{\bf #1}}} \newcommand{\SUBSUBSECTION}[1]{\bigskip{\large\subsubsection{\bf #1}}} \begin{titlepage} \begin{center} \vspace*{2cm} {\large \bf Classical Electromagnetism as a Consequence of Coulomb's Law, Special Relativity and Hamilton's Princip...
1,314,259,993,661
arxiv
\section{Introduction} Doppler surveys for exoplanets are monitoring almost every bright, chromospherically inactive solar type star (late F, G and early K types) and a fraction of the known M~dwarfs within 30 parsecs. These successful programs have discovered about 400 exoplanets ranging in mass from a few times that...
1,314,259,993,662
arxiv
\section{Introduction.} \bigskip Aluffi \cite{A04} introduced a class of algebras which are intermediate between the symmetric algebra and the Rees algebra of an ideal in order to define the characteristic cycle of a hypersurface parallel to the conormal cycle in intersection theory. These algebras were investiga...