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1,941,325,220,988
arxiv
\section{Introduction}\label{sec:intro} Nearby resolved dwarf galaxies in the Local Group (LG) constitute a compelling sample to address fundamental open questions about galaxy evolution. The variety of properties in terms of mass, luminosity, surface brightness, gas content, chemical evolution \citep[e.g.][]{mcconnac...
1,941,325,220,989
arxiv
\section{Introduction} Recently, there is a splash of interest in statistical properties of different stochastic processes under resetting, when a random process is interrupted by a resetting event, and restarts anew from prescribed initial conditions. The interest to this kind of processes is nurtured by their abun...
1,941,325,220,990
arxiv
\section{Introduction} Because of the large extinctions and distances typically involved, direct observations of the accretion process of mass onto forming massive stars are difficult to obtain. However, the accretion and ejection processes in massive young stellar objects (MYSOs) are known to be linked, as shown fro...
1,941,325,220,991
arxiv
\section{\textbf{Introduction}} The approximation theory is one of the important branch of functional analysis that \u{C}eby\u{s}ev originated it in nineteenth century. But, convexity of \u{C}eby\u{s}ev sets is one of the basic problems in this thoery. In a finite dimensional smooth normed linear space a \u{C}eby\u{s}e...
1,941,325,220,992
arxiv
\section{Introduction} Deep convolutional neural networks trained on a large number of labeled data boost the performance of image recognition on various tasks. However, the preparation of many labeled samples to train the network is time-consuming and expensive. The method for transferring knowledge from a label-rich ...
1,941,325,220,993
arxiv
\section{Introduction} This is a sequel to the earlier paper \cite{CaoLiu21} by the first and the second authors in which curvature estimates were obtained for $4$-dimensional complete gradient expanding Ricci solitons. By scaling the metric $g$ if necessary, we shall assume throughout the paper that a gradient expa...
1,941,325,220,994
arxiv
\section{\label{sec:introduction}Introduction} Experiments of ultrarelativistic heavy-ion collisions aim to create deconfined nuclear matter, a Quark-Gluon Plasma (QGP), and to study the QGP properties. Among the signatures of creation of a QGP is the number-of-constituent-quark scaling of elliptic flow of light and ...
1,941,325,220,995
arxiv
\section{Introduction} The field of poromechanics pertains to the study of coupled fluid flows and mechanical deformations in porous media. Applications include the prediction of land subsidence due to extraction of water and/or hydrocarbons from subsurface \cite{faunt2016water}. Mathematical models of the poroela...
1,941,325,220,996
arxiv
\section{Introduction} The development of femtosecond laser pumps has led to new probes of complex metals whereby systems are driven out of equilibrium with the aim to study their relaxation dynamics~\cite{giannetti2016,bovensiepen2007,smallwood2016}. Simultaneously, pump-probe setups allow the fascinating possibility ...
1,941,325,220,997
arxiv
\section{Introduction}\label{sec:intro} The logarithmic Mahler measure of a Laurent polynomial \[ P(x_1,\dots,x_n) \in \mathbb C[x_1^{\pm 1},\dots,x_n^{\pm 1}] \] is defined as \[ m(P) = \frac{1}{(2\pi i)^n}\int_{|x_1|=\dots=|x_n|=1} \log|P(x_1,\dots,x_n)| \; \frac{dx_1}{x_1} \dots \frac{dx_n}{x_n}. \] One can show th...
1,941,325,220,998
arxiv
\section{Introduction} The phase-field modeling technique involves finding and minimizing the free energy of one or more order parameters that describe a phase \cite{Hohenberg1977,Provatas2010}. The method was originally introduced by Fix in 1983 \cite{Fix1983} and has since been applied to modeling a wide range of ...
1,941,325,220,999
arxiv
\section{Introduction} ``Good sense is, of all things among men, the most equally distributed.'' With this phrase, Descartes begins his \textit{Discourse on the method} that changed science and human history. In that book, the philosopher introduces the scientific method, a systematic way to derive knowledge based on ...
1,941,325,221,000
arxiv
\section{Introduction} \label{intro} The next generation of galaxy surveys such as Large Synoptic Survey Telescope (LSST) \citep{lsst2008summary} or Euclid \citep{euclid2011report,euclid2016cosmology,euclid2016missiondesign} will not be limited by noise but by systematic effects. In particular, deep photometric observa...
1,941,325,221,001
arxiv
\section{Introduction}\label{intro} Top-quark polarisation is important to reveal a hint of beyond the standard model, especially chiral structures of the top sector. The information of the polarisation for a highly boosted top-quark is translated into that of helicities, since the chirality coincides with the helicit...
1,941,325,221,002
arxiv
\section{Introduction} Stellar mass black holes candidates (BHCs) exhibiting transient behavior generally reside in binaries. They show occasional outbursts of variable duration ranging from few weeks to months. In between two outbursts, these transient BHCs stay in long periods of quiescence. During the outburs...
1,941,325,221,003
arxiv
\section{Introduction} \label{sec:intro} Strongly interacting matter under extreme conditions of temperature and density has been a matter of interest over the last decades, related to the understanding of the strong interaction \cite{Rapp:1999ej} as well as the analysis of compact stars. In particular, strange pseu...
1,941,325,221,004
arxiv
\section*{Introduction} Since 2013, the Ebola virus outbreak in West Africa has become the largest such outbreak known. The epidemic first emerged in December 2013 in southern Guinea, but as of 11 May 2016, there have been about 28,600 cases of EVD in Guinea, Liberia, and Sierra Leone, and isolated cases in Italy, Mal...
1,941,325,221,005
arxiv
\section{Introduction} The theory for equilibrium systems is far from being complete. For example, the stationary state of a system strongly interacting with a surrounding thermostat is generally not available \cite{talkner2020}. Despite this incompleteness for equilibrium setups there are laws in nature which allow ...
1,941,325,221,006
arxiv
\section{Background}\label{sec:Background} \begin{tabular}{|c|l|} \hline \multicolumn{2}{|c|}{\bf Notations}\\ \hline $\mathrm{N}$ & number of coordinates/bit positions\\ &in the compressed data \\ \hline $\mathrm{\psi}$ & upper bound on the number of $1$'s in \\&any binary vector.\\ \hline $\mathrm{\Psi}$ & uppe...
1,941,325,221,007
arxiv
\section{Introduction}\label{intro} Stars can maintain their observable magnetic activity from the pre-main sequence (thereafter MS) until the tip of the red giant branch. We define an `active star' as one for which we can infer from observations surface spots due to variable magnetic fields. Observable activity deve...
1,941,325,221,008
arxiv
\section{Introduction} The possibility to study the primordial phases of our Universe and its properties and evolution through CMB anisotropies relies on our capability to precisely extract the cosmological signal from observations \citep{teg00_fore}. Maps of the microwave sky include many Galactic an...
1,941,325,221,009
arxiv
\section{Introduction} \blfootnote{ % % % % % \hspace{-0.65cm} This work is licenced under a Creative Commons Attribution 4.0 International License. License details: \url{http://creativecommons.org/licenses/by/4.0/} } Classify...
1,941,325,221,010
arxiv
\section{Introduction}\label{chap:intro} Over the last two decades, law enforcement agencies are relying more and more on statistical tools to build an objective criminal justice system, leading to a meteoric rise of ``predictive policing", loosely defined as ``\textit{the application of analytical techniques - particu...
1,941,325,221,011
arxiv
\section{Introduction} \label{sec:introduction} Population III (Pop.~III) stars, metal-free stars, or first stars are epoch-making objects in the universe history. They bring an end to the universe's dark ages, and mark the opening of metal enrichment in the universe. It is also interesting that their formation mode i...
1,941,325,221,012
arxiv
\section{Introduction} Flavour changing neutral currents (FCNC) play an essential role in the search for New Physics (NP) effects. The leading order Standard Model (SM) process already occurs only at the loop-level and consequently any new physics (NP) effects beyond the SM may enter at the same level. However, up to...
1,941,325,221,013
arxiv
\section{Introduction} \label{sec:intro} In this paper we describe a connection between the realizations of motivic fundamental groups of CM elliptic curves and the geometry of Bianchi hyperbolic threefolds. The first instance of this connection was described by A.Goncharov in \cite{goncharov-euler}. \subsubsection*...
1,941,325,221,014
arxiv
\section{Introduction} A density matrix is a Hermitian matrix satisfying the conditions, the normalized trace and non-negativity of eigenvalues \begin{equation} \text{Tr}(\rho)=1,~~~ \lambda_i\geq 0, \end{equation} where $\rho$ is a density matrix and $\lambda_i$ are its eigenvalues. These conditions along with the her...
1,941,325,221,015
arxiv
\section{Introduction} Let $(\Omega,\mathcal{F},P)$ be a probability space and $(w(t),\mathcal{F _{t}^{w})=((w_{1}(t),\ldots,w_{q}(t))^{\top},\mathcal{F}_{t}^{w})$ be a $q$-dimensional standard Wiener process, where $\mathcal{F}_{t}^{w},\ 0\leq t\leq T,$ is an increasing family of $\sigma$-subalgebras of $\mathcal...
1,941,325,221,016
arxiv
\section*{Introduction} \renewcommand*{\thetheoremintro}{\Alph{theoremintro}} \noindent The intimate connections between operator algebras and dynamical systems go all the way back to the classical formulation of quantum mechanics; they are a pivotal element in Connes' noncommutative geometry and have spurred bea...
1,941,325,221,017
arxiv
\section{Introduction} The bulk of the baryonic mass in galaxy clusters exists in the form of a low density, diffused ionized gas filling up the space between cluster galaxies. This hot intra-cluster medium (ICM, $T \sim 2-10$ keV) emits in the X-rays through thermal Bremsstrahlung emission, and is also observable in ...
1,941,325,221,018
arxiv
\section{Introduction} \label{sec:intro} Broad emission lines, one of the most prominent features in active galactic nuclei (AGNs), are emitted from the broad-line region (BLR). The BLR is one of the main components in the interior part of AGNs located between the accretion disk and dust structure \citep{Antonucci1993}...
1,941,325,221,019
arxiv
\section{Introduction} The notion of ball spaces, that is, a pair of a set and a family of some of its subsets, first appeared in the paper \cite{KK1}. It was used to prove some fixed point theorems in metric, ultrametric and topological spaces. This idea was continued in \cite{BCLS,CKK,KKP}. In our paper we will gener...
1,941,325,221,020
arxiv
\section{INTRODUCTION} \label{sec:intro} Active galactic nuclei (AGNs), the most persistent luminous sources of electromagnetic radiation in the universe, are widely believed to be powered by the accretion of material onto supermassive black holes (SMBHs). Narrow-line Seyfert 1 galaxies (NLS1s) serve as a peculiar subc...
1,941,325,221,021
arxiv
\section{Introduction} \label{s:intro} X-ray images of giant cavities in galaxy clusters associated with powerful jets from central active galactic nuclei (AGN) suggest that AGN may play an important role in the energetics of galaxy intra-cluster media (ICMs) \citep[\emph{e.g.,}][]{fabian03, birzan04, wise07}. The e...
1,941,325,221,022
arxiv
\section{Introduction} Surgical resection is the initial treatment for nearly all brain tumors. The achieved extent-of-resection is strongly correlated with prognosis and is the single greatest modifiable determinant of survival. Brain tumors are intimately involved in surrounding functioning brain tissue, aggressiv...
1,941,325,221,023
arxiv
\section{Introduction}\label{sec:introduction} Automatic Speech Recognition (ASR) systems are becoming widely adopted in various applications, such as voice commands, voice assistants, dictation tools or conversation transcribers. In many ASRs, a serious limitation is the lack of any punctuation or capitalization (wit...
1,941,325,221,024
arxiv
\chapter{Numerical Results} \label{chap:numerical_results} This chapter provides a numerical evaluation of all previously introduced system models and algorithms. Firstly the performance of the algorithms is evaluated. Then a reference parameter set is defined and the system performance is evaluated for this set. Th...
1,941,325,221,025
arxiv
\section{The Importance of Measuring Muons in MiniBooNE} MiniBooNE~\cite{boone-prop} is a neutrino oscillation experiment at Fermilab designed to confirm or rule out the hypothesis that the LSND $\overline{\nu}_e$ excess~\cite{lsnd} is due to $\overline{\nu}_{\mu} \ \rightarrow \ \overline{\nu}_e$ oscillations. A gene...
1,941,325,221,026
arxiv
\section{Introduction} The Baikal Neutrino Telescope is being deployed in the Siberian Lake Baikal, about 3.6 km from shore at a depth of 1.1 km \cite{APP}, \cite{Proposal}. The central mission of the project is the detection of extraterrestrial sources of high energy neutrinos. Other fields of interest \cite{Physic...
1,941,325,221,027
arxiv
\section{\label{sec:intro}Introduction} Gauge theories are of paramount importance in fundamental physics. Its most prominent example, the standard model of particle physics, describes electromagnetic, weak and strong interactions. In some regimes, interactions can be treated in terms of perturbative expansions. How...
1,941,325,221,028
arxiv
\subsection{Introduction} \TaggSection{SectionIntroduction} In this note we construct Nadel multiplier ideal sheaves on Fano manifolds that do not admit K\"ahler-Einstein } \def\KEno{K\"ahler-Einstein metrics, using the Ricci flow. The result is a simple consequence of the uniformity of the Poincar\'e and Sobolev ine...
1,941,325,221,029
arxiv
\section{Introduction} High order arrays, or tensors have been actively considered in neuroimaging analysis, topic modeling, signal processing and recommendation system \cite{frolov2017tensor, Comon,Hack,Kar,Rendle,zhou, simony2016dynamic,cichocki2015tensor,sidiropoulos2017tensor}. Researchers have made tremendous ef...
1,941,325,221,030
arxiv
\section{Introduction} Distributional Semantic Models (DSM) are consolidating themselves as fundamental components for supporting automatic semantic interpretation in different application scenarios in natural language processing. From \textit{question answering systems}, to \textit{semantic search} and \textit{text e...
1,941,325,221,031
arxiv
\section{Introduction\label{Introduction}} Sequential Monte Carlo (SMC) has a history that traces from the 1950's to the present. The first examples of SMC were simulations of chain polymers in the 1950's \cite{hammersley1954poor,rosenbluth1955monte}. Starting in the 1960's, SMC was used in the quantum chemistry ...
1,941,325,221,032
arxiv
\subsection{Spin distribution data} Spin distributions, given by the percentage of clusters with each possible spin, are given for two-dimensional clusters with open and periodic boundary conditions in Table \ref{tabRandClusters2D}. In this table we only consider models 1 and 2 (see text, section \ref{secFixedDensit...
1,941,325,221,033
arxiv
\section{Introduction}\label{sec:intr} The main goal of the relativistic heavy-ion collisions program is to produce and study the quark-gluon plasma (QGP). Along with the plasma, the relativistic heavy-ion collisions produce intense electromagnetic fields that modify its properties. In order to infer the plasma prope...
1,941,325,221,034
arxiv
\section{Introduction} Time series analysis is widely used in extensive real-world applications, such as the forecasting of meteorological factors for weather prediction \citep{wu2021autoformer}, imputation of missing data for data mining \citep{Friedman1962TheIO}, anomaly detection of monitoring data for industrial m...
1,941,325,221,035
arxiv
\section{Introduction} In differential geometry and in pseudo-Riemannian geometry, one can form polynomial curvature invariants by taking contractions of the Riemann tensor and its covariant derivatives. For example, the Ricci scalar, and the Kretschmann scalar, $R_{\mu\nu\alpha\beta}R^{\mu\nu\alpha\beta}$, are simple ...
1,941,325,221,036
arxiv
\section{Arithmetic progressions and the Green-Tao Theorem} Arithmetic progressions are among the most natural and well-studied mathematical objects. They are both aesthetically pleasing and ripe with structure, two properties which make it particularly interesting to find them inside other objects, which might, at f...
1,941,325,221,037
arxiv
\section{Introduction} Lagrangian algorithms are popular for modeling phenomenon where the computational mesh moves with the continuum. They can track material interfaces accurately and are widely used in computational solid mechanics. However, the reason behind their less frequent use in fluid mechanics is that they c...
1,941,325,221,038
arxiv
\section{Introduction} After almost one century of Relativity, many pre-relativistic prejudices (Baconian ''idola'') still survive. One of the most tenacious is the idea that, after giving up Newton's absolute space and absolute time (the 3+1 absolute splitting), every observer (or ''reference frame'') possesses in an...
1,941,325,221,039
arxiv
\section{Introduction} Usually the Fermi surface of an interacting electron systems respects the point-group symmetry of the underlying crystal lattice. However, electron-electron interactions may also lead to Fermi surface deformations which break the orientational symmetry spontaneously. From a Fermi liquid viewpo...
1,941,325,221,040
arxiv
\section{Introduction}\label{sec:introduction} ALICE (A Large Ion Collider Experiment) is a general-purpose heavy-ion experiment at the CERN LHC (Large Hadron Collider) aimed at studying the physics of strongly-interacting matter and the quark--gluon plasma. A unique design has been adopted for the ALICE detector to fu...
1,941,325,221,041
arxiv
\section{Introduction \label{sec:intro}} The hadronic decays of $B$ mesons have provided us with a good place to study CP violation in particle physics. In particular, the detection of direct CP violation in a decay process requires that there exist at least two contributing amplitudes with different weak and strong ...
1,941,325,221,042
arxiv
\section{$\mathbb{R}_{\textnormal{an,exp}}$-Definable Functions} \subsection{Log-Analytic Functions and the Exponential \\ Number} Compare with \cite{8}, Section 1 for a more detailed description of the content in this subsection. \vs{0.2cm} Let $m \in \mathbb{N}$ and $X \subset \mathbb{R}^m$ be definable. ...
1,941,325,221,043
arxiv
\section{Introduction}\label{sec:intro} Video synthesis is an open and challenging problem in computer vision. As literature suggests, a deeper understanding of spatio-temporal behavior of video frame sequences can directly provide insights in choosing priors, future prediction, and feature learning \cite{vondrick2016g...
1,941,325,221,044
arxiv
\section{Introduction} \subsection{The betting market for the EPL} Gambling on soccer is a global industry with revenues between \$700 billion and \$1 trillion a year (see "Football Betting - the Global Gambling Industry worth Billions." BBC Sport). Betting on the result of a soccer match is a rapidly growing market, ...
1,941,325,221,045
arxiv
\section{Introduction} \setcounter{equation}{0} In this paper, we consider the exact classical string dynamics in the conformally invariant background corresponding to the SL(2,R) WZWN model. This background is locally $2+1$-dimensional Anti de Sitter spacetime with non-vanishing parallelizing torsion. Many mathematic...
1,941,325,221,046
arxiv
\section{Introduction} It has long been recognized that, in addition to the conventional Mikheyev-Smirnov-Wolfenstein (MSW) effect \cite{Wolfenstein:1977ue,Wolfenstein:1979ni,Mikheyev:1985aa}, neutrino self-coupling can be important for neutrino flavor evolution when neutrino number densities are large \cite{Fuller:19...
1,941,325,221,047
arxiv
\section{Introduction} A famous open problem known as Lvov-Kaplansky's conjecture asserts: the image of a multilinear polynomial in noncommutative variables over a field $\mathbb{K}$ on the matrix algebra $M_{n}(\mathbb{K})$ is always a vector space \cite{Dniester}. Recently, Kanel-Belov, Malev and Rowen \cite{Kanel...
1,941,325,221,048
arxiv
\section{Introduction and main results} Let $G$ be an $r$-uniform hypergraph ($r$\emph{-graph} for short) with vertex set $V$ and edge set $E$. Assume that $V=\left[ n\right] :=\left\{ 1,\ldots,n\right\} $ and let $\mathbf{x}:=\left( x_{1},\ldots,x_{n}\right) \in\mathbb{R}^{n}$. Write $P_{G}\left( \mathbf{x}...
1,941,325,221,049
arxiv
\section{Introduction} It is well-known that in structural models with occasionally binding constraints, equilibria may not exist (incoherency) or there may be multiple equilibria (incompleteness). \cite{GourierouxLaffontMonfort1980} (henceforth GLM) studied this problem in the context of simultaneous equations models...
1,941,325,221,050
arxiv
\section{Introduction \label{sec:intro}} Atmospheric turbulence has long been a source of distortion in open air imaging applications. Spatial and temporal fluctuations in the physical properties of the atmosphere (e.g., temperature, humidity) give rise to variability in the index of refraction, thereby altering the ...
1,941,325,221,051
arxiv
\section{Introduction} A table contains an ordered arrangement of rows and columns that are widely used to present a set of facts about some information~\cite{lewandowsky}. They are widely used in research articles, data analysis, newspapers, magazines, invoices and financial documents. Tables present multiple informat...
1,941,325,221,052
arxiv
\section{Introduction} A Brain-Computer Interface (BCI) translates brain signals into messages or commands for an interactive task. This enables a wide range of applications from clinic to industry for both patients and healthy users, such as rehabilitation devices for stroke patients \cite{pichiorri15}, controllable w...
1,941,325,221,053
arxiv
\section{Introduction} Fuzzy spaces are noncommutative geometries which arise from quantizing certain compact K{\"a}hler manifolds. The most prominent such space is the fuzzy sphere, which was f\/irst constructed by Berezin \cite{Berezin:1974du}. In the original construction, the aim was the same as that of geometric ...
1,941,325,221,054
arxiv
\section{Introduction} This is a contituation of \cite{M1} where we gave a complete reducibility criterion for a tensor product $V\tp Z$ of two irreducible modules of highest weight over the (classical or) quantum universal enveloping algebra $U_q(\g)$ of a semi-simple Lie algebra $\g$. It is formulated in terms o...
1,941,325,221,055
arxiv
\section{\label{}} \section{Introduction} \label{sec:introduction} A superconductor in a magnetic field parallel to its surface can be metastable to flux penetration up to a (mis-named) \emph{superheating field} $H_{\text{sh}}$, which is above the field at which magnetism would penetrate in equilibrium ($H_{\text{sh}...
1,941,325,221,056
arxiv
\section{Introduction} The large $N_c$ limit of QCD suggested by 't Hooft \cite{HOOFT} and the power counting rules of Witten \cite{WITTEN} lead to a consistent perturbative $1/N_c$ expansion method to study baryon spectroscopy, which allows to compute $1/N_c$ corrections in a systematic way. A perspective on the cur...
1,941,325,221,057
arxiv
\section{Introduction}\label{sec:intro} $\mathrm{MINER}{\nu}\mathrm{A}$ is an on-axis neutrino-nucleus scattering experiment at Fermilab's NuMI (Neutrinos at the Main Injector) beamline that will measure interaction cross-sections and event kinematics in exclusive and inclusive states to high precision. The experimen...
1,941,325,221,058
arxiv
\section{Introduction} \subsection{The goal of this paper} In the past decade, a lot of efforts have been made on the theoretical prediction and experimental searching for topological superconductors (TSC) and topological insulators (TI) in non-interacting or weakly-interacting systems \cite{KaneRMP,ZhangRMP}. However,...
1,941,325,221,059
arxiv
\section{Introduction} The Kronecker's {\it Jugendtraum} is a conjecture that the maximal unramified abelian extension (the Hilbert class field) of any algebraic number field is generated by the special values of modular functions attached to an abelian variety. The conjecture is true for the rational field an...
1,941,325,221,060
arxiv
\section*{Introduction} Since the first discovery of the exoplanets in the 1990s \cite{1992Natur.355..145W, 1995Natur.378..355M}, expectations for the discovery of extraterrestrial life have increased. The most likely outcomes are the discovery of traces of life in our Solar System such as Mars, Europa or Enceladus...
1,941,325,221,061
arxiv
\section{Introduction} \label{intro} In \cite{St}, Stewart proved an effective finiteness result for shifted perfect powers in binary recurrence sequences. That is, if $\{ u_k \}$ is a binary recurrence sequence for which the equation \begin{equation} \label{cur} x^n+c = u_k \end{equation} has a solution in intege...
1,941,325,221,062
arxiv
\section{Introduction} \label{sec:intro} Recent advances in our knowledge of galaxy structure have shown that the central spheroidal component of galaxies, i.e. the galaxy bulge, comes in two flavours : classical and pseudo. Classical bulges are formed by fast and violent processes such as major mergers or by sinking ...
1,941,325,221,063
arxiv
\section{Introduction} In nature and the real world, most data are nonlinear, nonstationary and noisy, and general data-driven methods to analyze such data, without \textit{a priori} assumptions basis, are demanded. About ten years ago, such a method has been proposed to analyze nonlinear and nonstationary time series:...
1,941,325,221,064
arxiv
\section{} \noindent{ \bf Key-words:} Kinetic equations, travelling waves, dispersion relation\\ \noindent{\bf AMS Class. No:} {35Q92, 45K05, 35C07} \section{Introduction} \subsection*{The model.} In this paper, we are interested in propagation phenomena occuring in the following reaction-transport equation \begin...
1,941,325,221,065
arxiv
\section{Introduction}\label{sec:intro} Subspace methods have been widely used in signal/image processing, pattern recognition, computer vision, etc. \cite{turk1991eigenfaces, bouwmans2009subspace, kriegel2009clustering, lu2011survey, gu2011joint, wang2015joint}. They can have different names and emphasis in various...
1,941,325,221,066
arxiv
\section{Introduction} \label{sec:intr} Triangle-free strongly regular graphs (TFSR graphs), sometimes also called SRNT (for strongly regular no triangles) is a fascinating object in algebraic combinatorics. Except for the trivial bipartite series, there are only seven such graphs known (see e.g. \cite{God}). At the s...
1,941,325,221,067
arxiv
\section{Introduction} By April 2021, coronavirus(COVID-19) pandemic has affected 219 nations around the world with 136 million total cases and 2.94 million deaths. With this pandemic situation, a rapid increase in social media usage was noticed. In measures, during 2020, 490 million new users joined indicating a more ...
1,941,325,221,068
arxiv
\subsection{Impact of Different Edge Types} In this section, we conduct an ablation study to analyze the impact of each edge type on the overall performance of our model. We keep the same neural architecture and change the code representation by removing edge types. Then we train different variants of \methodnamews~ o...
1,941,325,221,069
arxiv
\section{Introduction} By now it appears increasingly likely that Quantum Einstein Gravity (QEG), the quantum field theory of gravity whose underlying degrees of freedom are those of the spacetime metric, can be defined nonperturbatively as a fundamental, ``asymptotically safe'' theory (Lauscher 2002). By definition, ...
1,941,325,221,070
arxiv
\section{Introduction} Phase-change materials (PCM) utilize the reversible change from an amorphous phase to a crystalline phase to encode binary data.\cite{wuttig-nature2007, OvshinskyPRL} The readability of the stored data is guaranteed by the pronounced differences in the electrical and/or optical properties of bo...
1,941,325,221,071
arxiv
\section{Introduction} The local density of dark matter (DM) at the Sun's location in the Galaxy may not be spherically symmetric because the Sun, in its motion through the Galactic halo, is expected to create a trailing DM wake \citep{2019arXiv190110605H,2019MNRAS.tmp.1533B}. Thus, DM would be overdense behind the Su...
1,941,325,221,072
arxiv
\section{Introduction} Deep neural networks (DNNs) are already used in a wide range of inference tasks, such as speech and image recognition, and are continuously advancing into physics, until now mostly for offline data analysis. There are only very few examples where DNNs are used in or targeted for the context of h...
1,941,325,221,073
arxiv
\section{Introduction} Given a compact Riemannian manifold $(M,g)$, the Yamabe problem is to find a metric conformal to $g$ such that it has constant scalar curvature. This was solved by Aubin, Schoen, and Trudinger in \cite{Aubin0,Schoen,Trudinger}. The (unnormalized) Yamabe flow was introduced to study the Yama...
1,941,325,221,074
arxiv
\section{Introduction} Asteroid time-series study was a relatively unexplored field in planetary science because it was a challenge to collect a large number of asteroid light curves within a short period of time. Thanks to the significant advance in observational technology (i.e., robotic telescope and wide-field came...
1,941,325,221,075
arxiv
\section*{Warhead verification} In a warhead verification protocol, a warhead owner (`host') attempts to prove to an inspection team (`inspector') that an object submitted for inspection and subsequent dismantlement and disposition is indeed a genuine nuclear warhead. An object successfully verified may then be d...
1,941,325,221,076
arxiv
\section{Introduction} A connected, complete Riemannian manifold $(M^{n},g)$ is called a {\em conformal gradient soliton} if there exists a {\em nonconstant} smooth function $f$, called {\em potential} of the soliton, such that \begin{equation*} \nabla^{2} f \, = \, \varphi\, g \,, \end{equation*} for some f...
1,941,325,221,077
arxiv
\section{Introduction} \label{Introduction} Predictive modelling of turbulent combustion incorporating finite-rate kinetics is becoming increasingly important for the development of fuel-flexible combustion devices with low emissions and high-speed propulsion systems. Large Eddy Simulation (LES) is a promising...
1,941,325,221,078
arxiv
\section{Introduction} Nucleon form factors are key quantities in hadron physics as they give us information about the internal structure of the nucleon. More specifically, the interaction of a nucleon with external currents acquires a momentum-transfer dependence, described by the form factors, because the nucleon is ...
1,941,325,221,079
arxiv
\section{Introduction} \label{Introduction} Neutrino oscillation experiments have shown that neutrinos are massive particles with at least two squared-mass differences: $ \Delta{m}^{2}_{\text{SOL}} \simeq 8 \times 10^{-5} \, \text{eV}^{2} $, measured in solar and very-long-baseline reactor neutrino experiments, and $ ...
1,941,325,221,080
arxiv
\section{Introduction} The effective interaction is one of the most insightful concepts in the theoretical many-body physics. Correlations between the particles forming the media change the magnitude and may even transform the shape of the microscopic two-body interaction potential. Such modifications become especiall...
1,941,325,221,081
arxiv
\section{Introduction} The fascinating discovery journey of Carrollian physics has begun purely out of the mathematical curiosity of Lévy-Leblond \cite{Leblond1965} when he first proposed a new non-Lorentzian limit of flat spacetime and derived its resulting contracted isometry group. The novel Carrollian\footnote{I...
1,941,325,221,082
arxiv
\section{Introduction} \label{introduction} \begin{center} \begin{figure*} \includegraphics[width=0.65\textwidth]{Porter-Temple22_f1.pdf} \caption{Galaxy Zoo 4 GAMA-KiDS decision tree. The decision tree can be viewed at \url{https://data.galaxyzoo.org/gz_trees/gz_trees.html} under the 'GZ GAMA-KiDS' se...
1,941,325,221,083
arxiv
\section{Introduction} Research in quantum gravity may be regarded as an attempt to construct a theoretical scheme in which ideas from General Relativity and quantum theory are reconciled. However, after many decades of intense work we are still far from having a complete quantum theory of gravity. Any theoretical s...
1,941,325,221,084
arxiv
\section{Estimating the contribution from heavy hitters}\SectionName{heavy-contrib} Before giving our algorithm $\mathsf{HighEnd}$ for estimating $\|x_L\|_p^p$, we first give a few necessary lemmas and theorems. The following theorem gives an algorithm for finding the $\phi$-heavy hitters with respect to $F_p$. This ...
1,941,325,221,085
arxiv
\section{Introduction} \label{sec:intro} % \par Observations of the magnetically closed solar corona from the \textit{Hinode} \citep{kosugi_hinode_2007} and Solar Dynamics Observatory (SDO) \citep{pesnell_solar_2012} spacecraft have led, for the first time, to quantitative studies of the distribution of coronal plas...
1,941,325,221,086
arxiv
\section{Introduction and Background} Since the initial discovery of dark energy (DE) by \cite{Riess1998, Perlmutter1999}, observations of Type Ia supernovae (SNe Ia) have been integral in establishing the canonical $\Lambda$CDM cosmological model. In the $\Lambda$CDM model, the present energy density of our flat uni...
1,941,325,221,087
arxiv
\section{Steady-state properties} The deterministic dynamics of the biochemical network in Figure \ref{Fig1} is captured by simple rate-equations for the mean number of activated proteins. We can augment these equations to account for stochastic fluctuations within the Linear-noise approximation by adding appropriate ...