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1,116,691,498,015
arxiv
\section{Introduction} Since the observation of gravitational waves \cite{TheLIGOScientific:2016wyq, Abbott:2017xzu}, we are entering a new era of cosmology. More precise measurements would be provided by future experiments such as LIGO \cite{TheLIGOScientific:2014jea}, Virgo \cite{TheVirgo:2014hva}, LISA \cite{Audley...
1,116,691,498,016
arxiv
\section{Introduction} \label{sec:intro} The point of departure for this paper is the following result obtained in \cite{ssv1, ssv2}. Let $N_n^0$ denote the semi-algebraic set of all unipotent upper-triangular $n \times n$ matrices $x$ with real entries such that, for every $k = 1, \ldots, n-1$, the minor of $x$ with ...
1,116,691,498,017
arxiv
\section*{Introduction} Du Val showed in \cite{Du-Val} how multiplicity sequences of the successive blow-ups of a curve can be used to classify singularities. His approach was geometric in nature and asked, while he was presenting his results in the University of Istambul, if there were an algebraic counterpart of his...
1,116,691,498,018
arxiv
\section{Introduction} In recent years, neural machine translation (NMT) \cite{cho2014learning,bahdanau2014neural,vaswani2017attention} has achieved rapid advancement in the translation performance \cite{yang2020csp,lu-etal-2021-attention}. However, the NMT model is not always stable enough, as its performance can dro...
1,116,691,498,019
arxiv
\section{Introduction} There are mounting data from type Ia supernovae, cosmic microwave background (CMB) radiation, and so on\cite{1998snia,Spergel,Riess,Seljak}, have provided strong evidences for the present spatially flat and accelerated expanding universe, corresponding to $\ddot{a}>0$, which is dominated by dark...
1,116,691,498,020
arxiv
\section*{Methods} \noindent{\bf Atom-light Hamiltonian} The Hamiltonian of equation (\ref{eqn:heff}) is obtained from the off-resonant coupling to an atomic dipole transition. The excited atomic states can be adiabatically eliminated from the dipole-interaction Hamiltonian under the conditions described in the main t...
1,116,691,498,021
arxiv
\section{Introduction} Graph neural networks \citep{2016Semi,bruna2013spectral,defferrard2016convolutional,velivckovic2017graph,abu2018watch,zhang2018gaan,lee2018graph,klicpera2018predict} have achieved great success in processing graph data which is rich in information about the relationships between objects, and h...
1,116,691,498,022
arxiv
\section{Introduction} A clear understanding of nuclear structure beyond the valley of $\beta$-stability requires detailed spectroscopic investigations. Direct reactions, such as single-nucleon transfer reactions are established probes of the single-particle nuclear shell structure and have provided considerable insi...
1,116,691,498,023
arxiv
\section{Introduction} For an interval $J \subset [0, 1]$ and $g: [0, 1] \rightarrow \C$, we define \begin{align*} (\E_{J}g)(x) := \int_{J}g(\xi)e(\xi x_1 + \xi^2 x_2)\, d\xi \end{align*} where $e(a) := e^{2\pi i a}$. For an interval $I$, let $P_{\ell}(I)$ be the partition of $I$ into intervals of length $\ell$....
1,116,691,498,024
arxiv
\section{Introduction} \label{sec_mimo_df_relay_bf_jamming_finitealphabet_1} The physically degraded discrete memoryless wiretap channel model considered by Wyner in \cite{ir1} opened the path for reliable and secure information transmission using physical layer techniques. Subsequent extension to discrete memo...
1,116,691,498,025
arxiv
\section{Introduction}\label{introduction} Dense artificial neural networks are a commonly used machine-learning technique in deep learning that has a wide range of applications. Yet, they have multiple limitations, several of which are potentially addressable by sparse artificial neural networks. Most existing researc...
1,116,691,498,026
arxiv
\section{Introduction} The investigation of gauge gravitation theory in Riemann-Cartan spacetime (GTRC), which is a necessary generalization of metric gravitation theory in the framework of gauge approach by including the Lorentz group into the gauge group corresponding to gravitational interaction, shows that GTRC al...
1,116,691,498,027
arxiv
\section{Introduction}\label{sec:intro} In this paper we present a self-contained study of % Hilbert--Sobolev spaces defined on arbitrary open and closed sets of $\mathbb{R}^n$, aimed at applied and numerical analysts interested in linear elliptic problems on rough domains, in particular in boundary integral equation ...
1,116,691,498,028
arxiv
\section{Introduction} Galilean invariance is generally broken in solids due to the presence of a lattice background. For typical semiconductor materials however, Galilean symmetry is preserved for low-energy states near the band edge where the only remaining effect of the underlying lattice is a renormalization of the...
1,116,691,498,029
arxiv
\section{Introduction} In 1989 Ahlswede and Zhang\cite{ahlswede_zhang_1989} introduced the model of write efficient memories. In full generality they a describe memory system with some alphabet of possible characters, some number of slots that can contain any character from the alphabet, and an arbitrary transition co...
1,116,691,498,030
arxiv
\section{Introduction}\label{sec1} Quantum Chromodynamic (QCD), the theory of strong interaction, undergoes certain phase transition at high temperature to a plasma of quarks and gluons. Heavy-ion collision (HIC) at Relativistic Heavy Ion Collider (RHIC) and Large Hadron Collider (LHC) provide this opportunity to stud...
1,116,691,498,031
arxiv
\section{Introduction} Let $X$ be a smooth projective variety of dimension $n$ with Hodge numbers $h^{p,q} (X)$. It follows from Hirzebruch-Riemann-Roch theorem that \begin{equation}\label{eq:LWIntro} \frac{d^2}{du^2} E (X; u,1)_{|u=1}=\frac{n(3n-5)}{12}c_n (X)+\frac{1}{6} c_1 (X) c_{n-1}(X) \end{equation} where $E( ...
1,116,691,498,032
arxiv
\section{Introduction} As the prevalence of interconnected devices grows, vulnerable communication networks must be able to counter the actions of malicious actors; a unified understanding of the fundamental communication limits of these networks is therefore paramount. The correction of errors introduced by adversar...
1,116,691,498,033
arxiv
\section{Introduction} \label{sec:introduction} \input{sections/introduction.tex} \section{Related Work} \label{sec:related} \input{sections/related.tex} \section{Problem Formulation} \label{sec:formulation} \input{sections/formulation.tex} \section{Algorithm} \label{sec:algorithm} \input{sections/algorithm.tex} \s...
1,116,691,498,034
arxiv
\subsection{Polynomial-time Approximation Scheme} We will start by presenting our PTAS. At a high-level, our PTAS is similar to that of Bansal et al.'s: our algorithm use bruteforce to try every possible values of $\pi(1), \dots, \pi(\exp(\tilde{O}(1/\epsilon)))$. Once these are fixed, we solve the remaining problem u...
1,116,691,498,035
arxiv
\section{Introduction} The problem of estimating a sparse unknown parameter vector from noisy measurements has been analyzed intensively in the past few years \cite{tropp06, donoho06, candes06, candes07}, and has already given rise to numerous successful signal processing algorithms \cite{elad06, dabov07, dabov08, pro...
1,116,691,498,036
arxiv
\section{Introduction } \label{sec:intro} Hypothesis testing, or the problem of deciding the probability distribution that generated a given observation, is one of the main problems in statistics, finding applications in social, biological, medical and data sciences, including information theory, image processing and...
1,116,691,498,037
arxiv
\section{Introduction} Duality is an important phenomenon in quantum field theory allowing to relate two different theories. One example in $(2+1)D$~\cite{Townsend:1983xs,nieu} is the equivalence between the self-dual (SD) model, which does not possess gauge invariance, and the gauge-invariant Maxwell-Chern-Simons (M...
1,116,691,498,038
arxiv
\section*{appendices}
1,116,691,498,039
arxiv
\section{Introduction} \label{sec-intro} \subsection{Ratner's theorem and its effective versions} \par In 1991, Ratner \cite{ratner_2} proved the following fundamental theorem on equidistribution of unipotent orbits in homogeneous spaces: \begin{thm} \label{thm:ratner} Let $G$ be a Lie group and $\Gamma$ be a la...
1,116,691,498,040
arxiv
\section{Introduction}\label{intro} Let $\Bbbk$ be an algebraically closed field and denote by $\PP^n$ the projective space of dimension $n$ over $\Bbbk$. The set $\birn$ of birational maps $f:\PP^n\tor\PP^n$ is the so-called Cremona group of $\PP^n$. For an element $f\in\bir(\PP^n)$ there exist homogeneous p...
1,116,691,498,041
arxiv
\subsubsection*{Acknowledgements} The authors would like to thank the referees for their valuable comments, which greatly improved this paper. This work was supported by National Natural Science Foundation of China (Grant Nos. 11701259, 11971140, 11461045, 11675113), the China Scholarship Council (Grant No.201806...
1,116,691,498,042
arxiv
\section{Introduction} Whether the rate of profit has a tendency to decline with capitalist development was of considerable interest to classical political economy. Being the income stream of the capitalist class, profit is both the source and spur for capital accumulation. If there was a tendency for the rate of prof...
1,116,691,498,043
arxiv
\section{Introduction} As with the choice of an optimization algorithm, the choice of loss function is an indispensable ingredient in training neural network models. Yet, while there is extensive theoretical and empirical research into optimization and regularization methods for training deep neural networks~\cite{...
1,116,691,498,044
arxiv
\section{Introduction}\label{sec:introduction} Retrieving and aggregating subsets of event data of a particular characteristic is a recurring activity in process analysis and process mining~\cite{van2016process}. Each \emph{event} is thereby defined by an \emph{event classifier} such as the \emph{activity} or state t...
1,116,691,498,045
arxiv
\section{INTRODUCTION} The production of elements heavier than those of the Fe peak occurs via neutron-capture ($n$-capture) processes that are either slow ($s$) or rapid ($r$) compared to the timescale for $\beta$ decay (e.g., Sneden et al.~2008). The main $s$-process operates in low- and intermediate-mass asymptotic ...
1,116,691,498,046
arxiv
\section{Introduction} \label{sect:introduction} European options can be exercised only at expiry while American options can be exercised anytime until expiry. Due to this additional flexibility the American options can be more valuable. In order to avoid arbitrage the price must be always at least the same as the fin...
1,116,691,498,047
arxiv
\section{Introduction} Our world consists of objects with collections of atoms and molecules which are bound together by ionic or covalent bonds. On a larger length scale these objects are collected in planetary systems in galaxies, which are bound together by gravitational forces. The ionic and covalent...
1,116,691,498,048
arxiv
\section{introduction} There are two main purposes for studying numerical relativity: One is to investigate the mathematical issues of the geometry of the Einstein manifold. These issues include cosmic censorship, the hoop conjecture, the Penrose inequality, and critical phenomenon \cite{berger02}. The other, more prac...
1,116,691,498,049
arxiv
\section{Introduction} The purpose of this document is to study a family of auto-equivalences of the derived category of the principal block of the BGG-category $\mathcal{O}$. In the geometric setting (i.e., perverse sheaves or $D$-modules on the flag variety) it is well known that much of the information of interest t...
1,116,691,498,050
arxiv
\section{Introduction} A class of graphs is {\em nowhere dense} if for every $r \geq 1$, there exists $t\geq 1$ such that no graph in the class contains a subdivision of the complete graph $K_t$ where each edge is subdivided at most $r$ times as a subgraph. Examples of nowhere dense classes include most sparse graph ...
1,116,691,498,051
arxiv
\section{INTRODUCTION} Complex rules in modern tasks often specify desired system behaviors and timed temporal constraints that require mission completion within a given period. Performing such tasks can be challenging, especially when the operating environment is dynamic and unknown. For instance, user-specified miss...
1,116,691,498,052
arxiv
\section{Introduction} A linear polymer in a good solvent at equilibrium has conformations that correspond to a self-avoiding random walk with a step size equal to the Kuhn length, \(b\), defined as the length between monomers for orientational correlations to be lost. The Kuhn length is directly related to the bendin...
1,116,691,498,053
arxiv
\section*{Introduction} A main goal in measured group theory, initiated by work of Dye \cite{Dye}, is to classify measure-preserving group actions on standard probability spaces up to \emph{orbit equivalence}, i.e.\ up to the existence of a measure space isomorphism sending orbits to orbits. More generally, we will be...
1,116,691,498,054
arxiv
\subsubsection*{\bibname}} \bibliographystyle{plainnat} \begin{document} \newcommand{\quotes}[1]{``#1''} \twocolumn[ \aistatstitle{A Deep Generative Model for Fragment-Based Molecule Generation} \aistatsauthor{Marco Podda \And Davide Bacciu \And Alessio Micheli } \aistatsaddress{University of Pisa,...
1,116,691,498,055
arxiv
\section{Introduction} Strain induced self-assembly of three dimensional (3D) islands in heteroepitaxy have been attracting much research interest because of the rich physics involved and their potential applications as quantum dots in optoelectronic devices \cite{Politi2000,Shchukin2003,Berbezier2009}. A widely studi...
1,116,691,498,056
arxiv
\section{Introduction} The Large Hadron Collider (LHC)~\cite{LHCPAPER} at the European Laboratory for Particle Physics (CERN) in Geneva, Switzerland, is an example of a scientific project whose computing resource requirements are larger that those likely to provided in a single computer center. Data processing and sto...
1,116,691,498,057
arxiv
\section{Introduction} The scattering problems over a half-space with local perturbations have widely considered in the fields of radar techniques, sonar, ocean surface detection, medical detection, geophysics, outdoor sound propagation and so on. Such problems are also referred to as cavity scattering problems in the...
1,116,691,498,058
arxiv
\section{Introduction} Certain quantum field theories are known to possess a continuous set of inequivalent ground states, or in other words, a quantum moduli space. Every point in the moduli space corresponds to a vacuum state with zero energy. Turning on a non-zero temperature $T$ will generically ``lift'' moduli s...
1,116,691,498,059
arxiv
\section{Introduction} Ontology Matching (OM) or Ontology Alignment (OA) is the process of finding correspondence between the entities of two ontologies for the purpose of unifying data from different sources and reducing heterogeneity, making these more viable for research and development. The correspondence could be...
1,116,691,498,060
arxiv
\section{Introduction} \label{sec:1} {In the search for laboratory analogs of black-hole radiation (c.f. \citet{Barcelo2019} for an updated review) Schutzhold and Unruh \cite{schutzhold2002gravity} theoretically demonstrated how surface gravity waves, in the presence of a counter--current flow in a shallow basin, can...
1,116,691,498,061
arxiv
\section{Introduction} In the design of a NEO survey there is a possible trade-off between covering less sky to a deeper magnitude or more sky to a fainter one, as described by \citet{T11}. In the present paper we denote the first strategy as ``Deep Survey'', and the second one ``Wide Survey''. In the literature, the b...
1,116,691,498,062
arxiv
\section{Introduction} The study of integrable structures in planar perturbative $\mathcal{N}=4$ supersymmetric Yang--Mills theory following the works \cite{Lipatov:1997vu,Minahan:2002ve,Beisert:2003yb} has led to the discovery of an exciting integrable spin chain model. It displays several unusual and novel feature...
1,116,691,498,063
arxiv
\section*{High-resolution information retrieval} \medskip \begin{figure} \begin{center} \includegraphics[width=15 cm]{figure_02.pdf} \caption{The data analysis procedure on a single sub-data-cube. $\boldsymbol{\mathrm{a}}$: Data-cube $I(\Delta x,\Delta y,\delta x,\delta y)$. $\boldsymbol{\mathrm{b}}$: The obtained st...
1,116,691,498,064
arxiv
\section*{INTRODUCTION.} The theorem about the Moon in a puddle provides the simplest meaningful example of a local-to-global theorem which is mainly what differential geometry is about. Yet, the theorem is surprisingly not well-known. This paper aims to redress this omission by calling attention to the result and...
1,116,691,498,065
arxiv
\section{Introduction}\label{sec:intro} In various real-life modeling problems, we have limited prior information regarding which model family is more suitable for the problem. In such cases, a method that would allow one to choose between different model families on the fly would be useful, eliminating the need for mo...
1,116,691,498,066
arxiv
\section{Introduction} A breakthrough in information theory has been done by Shanon in 1948\cite{sh1,sh2}. The classical information theory has its practical manifestations in communication systems, computing devices, gaming, imaging and with several countless applications in real world. The current developments in te...
1,116,691,498,067
arxiv
\section{INTRODUCTION}\label{sec:intr} The unexpected excess of high-energy positrons ($\geq 10$ GeV) observed by PAMELA \citep{2013PhRvL.111h1102A}, AMS-02 \citep{2014PhRvL.113l1101A}, VERITAS \citep{2015ICRC...34..411S}, \textit{Fermi}-LAT \citep{2012PhRvL.108a1103A,2017PhRvD..95h2007A}, and DAMPE \citep{2017Natur.5...
1,116,691,498,068
arxiv
\section{Introduction} In 1991, Cohen, Kaplan and Nelson proposed a mechanism of ``Spontaneous Baryogenesis'' for producing baryons at the electroweak phase transition in the adiabatic limit of thick slowly moving bubble walls\cite{Cohen:1991iu}. Their original idea\cite{Cohen:1987vi,Cohen:1988kt} uses an effective...
1,116,691,498,069
arxiv
\section{Introduction} The low Mach number limit for classical solutions to the full compressible Navier-Stokes equations was studied notably by {\sc T. Alazard} in \cite{Al06}. When the large temperature variations and thermal conduction are taken into account, the limit system reads (see (1.7) page 7 in \cite{Al06}...
1,116,691,498,070
arxiv
\section{Introduction} Magnetic fields are universally present in astronomical bodies ranging from the Earth to the distant quasars, but it is still unknown if magnetic fields permeate the universe as a whole. Astrophysical magnetic fields may arise due to the existence of a primordial magnetic field that grows as g...
1,116,691,498,071
arxiv
\section{Introduction} The SNO+ experiment probes a number of rare physics processes with the main focus on searching for neutrinoless double beta decay of ${}^{130}$Te during the tellurium loaded scintillator phase. The detector is located in SNOLAB, located in Creighton Mine in Sudbury, Canada with approximately 2\...
1,116,691,498,072
arxiv
\section{Introduction} \label{S-I} Estimating quantiles has a longstanding history in statistics and probability. Except in parametric models where explicit formula are available, the estimation of quantiles is a real issue. The most commun way to estimate quantiles is to make use of order statistics, see among othe...
1,116,691,498,073
arxiv
\section{Introduction} While many details of planet formation are not fully understood \citep{johansen, raymond14, chabrier, helled}, significant debris is expected to be produced by the planet-building process. These leftovers, such as asteroids and comets, dynamically and collisionally evolve over a planetary syste...
1,116,691,498,074
arxiv
\section{INTRODUCTION} The problem of how to control routing across a network underlies a vast array of real-world problems including internet routing, voice/video communication, traffic flows, etc. In its general form, the problem is how to optimize the flow of certain entities (e.g., information packets, cars) fro...
1,116,691,498,075
arxiv
\section{Dataset} \label{sec:dataset} We propose two datasets resulting from the mapping of S2ORC with KP20K and OAGKx corpus, respectively. \citet{lo-etal-2020-s2orc} released S2ORC as a huge corpus of 8.1M scientific documents. While it has full text and metadata (see Table \ref{tab:metadata_table}) the corpus does...
1,116,691,498,076
arxiv
\section{Introduction} \IEEEPARstart{Q}{uantum} secret sharing schemes are protocols that enable the secure distribution of a secret among mutually collaborating parties so that only certain collections of parties can recover the secret. \noindent Quantum secret sharing schemes were first proposed by Hillery...
1,116,691,498,077
arxiv
\section*{References} \begin{enumerate} \item J.F. Donoghue, H.P. Nilles and D. Wyler, Phys. Lett. {\bf 128B}, 55 (1983); M.J. Duncan, Nucl. Phys. {\bf B221}, 285 (1983); F. Gabbiani and A. Masiero, $ibid$., {\bf B322}, 235 (1989); J.S. Hagelin, S. Kelley and T. Tanaka, Preprint MIU-THP-92/60 (1993). \item For reviews...
1,116,691,498,078
arxiv
\chapter{Pr\'{e}liminaires} Ce chapitre est essentiellement constitu\'{e} de rappels sur la th\'{e}orie g\'{e}n\'{e}rale des groupes. La lettre $G$ d\'{e}signe un groupe. \section{Actions de groupes}\label{action} \begin{defi} On dit que le groupe $G$ \emph{op\`{e}re \`{a} gauche} sur un ensemble $X$ si l'on s'est do...
1,116,691,498,079
arxiv
\section{Introduction} Gamma-ray burst(GRB), the most violent explosion cosmic source, has been identified as the cosmological event since 1997(van Paradijs et al. 1997; Metzger et al. 1997). Recently GRB 090423 has been explored at high redshift above 8(Salvaterra et al. 2009a; Tanvir et al. 2009). The long-duration ...
1,116,691,498,080
arxiv
\section{Introduction}\label{sec:intro} Since the discovery of 51 Peg\,b by \citet{Mayor1995}, the first extrasolar planet orbiting a solar-like star, over 4800 exoplanets\footnote{See e.g., \href{https://exoplanetarchive.ipac.caltech.edu/}{https://exoplanetarchive.ipac.caltech.edu} (as of January 5, 2022).} have bee...
1,116,691,498,081
arxiv
\section{Introduction} \label{sec - Introduction} In the last years much effort has been spent to identify the weak points of Low Density Parity Check (LDPC) code graphs, responsible for error floors of iterative decoders. After the introduction of the seminal concept of \emph{pseudocodewords} \cite{Bib-FreK...
1,116,691,498,082
arxiv
\section{Introduction} When continuous-time records are separated into natural consecutive time intervals, such as days, weeks, or years, for which a reasonably similar behavior is expected, the resulting functions may be described as a time series. For this kind of functional time series, each observed trajectory is ...
1,116,691,498,083
arxiv
\section{Introduction} The calibration of the detectors used in astronomy is fundamental for the sake of scientific studies. However, the processes at the basis of the calibrations are often complex especially for instruments which are onboard satellites. Indeed their calibrations have to quickly evolve with time as t...
1,116,691,498,084
arxiv
\section{Introduction} The human genome encodes more than 20,000 protein-coding genes, of which a large fraction do not have annotated function to date \citep{galperin2010complete}. Predicting unknown member genes to biological pathways/complexes and the determination of function for poorly characterized genes are cr...
1,116,691,498,085
arxiv
\section{Introduction} We explore the performance of a reinforcement learning (RL) process and a new whole-body impedance and force controller for robust dynamic locomotion on a full biped humanoid dynamical model. Full-bodied 3D humanoid dynamic walking based on inverted pendulum (IP) dynamics and RL has not been st...
1,116,691,498,086
arxiv
\section{Introduction} Crowdsourcing involves using the power of crowd to perform a task \cite{brabham2008crowdsourcing}. The sheer power in involving the mass to distribute a job of big proportions makes this idea successful in performing various kinds of tasks, skilled or not-so skilled, technical or creative \cite{k...
1,116,691,498,087
arxiv
\section{Introduction} \label{intro} The study of the hadron properties in the strange asymmetric matter at finite temperature is of considerable interest to understand the QGP phase diagram in the strong interaction physics \cite{Tolos2020,Holzenkamp1989,Petschauer2016,Haidenbauer2019,Kumar2015,Chhabra2017,Chhabra201...
1,116,691,498,088
arxiv
\section{Introduction} As a essential problem in network science, network cluster detecting is significant for computer science\cite{1}, biology\cite{2,7,24}, communication and social networks\cite{3,4} and marketing strategy\cite{5}. And it gains lots of attention from researchers in related fields. Especially in rec...
1,116,691,498,089
arxiv
\section{Introduction} Molecular clouds are birthplaces of stars that form the visible backbones of galaxies. Therefore, it is important to investigate the molecular gas mass, its distribution in galaxies and its physical properties to understand galaxy evolution. Molecular gas in galaxies mainly consists of H$_2$ mol...
1,116,691,498,090
arxiv
\section*{Abstract} {\bf We present a method to reduce the variance of stochastic trace estimators used in quantum typicality (QT) methods via a randomized low-rank approximation of the finite-temperature density matrix $e^{-\beta H}$. The trace can be evaluated with higher accuracy in the low-rank subspace while u...
1,116,691,498,091
arxiv
\section{Introduction} It is common knowledge that the zero-point and thermal fluctuations of the electromagnetic field are responsible for several interesting physical phenomena which attract much experimental and theoretical attention in the last few years. The best known example is the fluctuation-induced forc...
1,116,691,498,092
arxiv
\section{Introduction} The search for superconductivity (SC) with high critical temperature $T_c$ has been the dream of the condensed-matter community for decades. It is generally believed that the right route to seek for high-$T_c$ SC (HTCS) is to acquire strong spin fluctuations via proximity to antiferromagnetic-ord...
1,116,691,498,093
arxiv
\section{Introduction} In this paper we prove new results in two areas of theoretical computer science that have received a lot of attention recently: \emph{streaming algorithms} and \emph{locally decodable codes}. \emph{Streaming algorithms} is a model of computation introduced by Alon, Matias and Szegedy~\cite{alon1...
1,116,691,498,094
arxiv
\section{Introduction} Sustained and secure supply of power is a vital component of a prosperous society. Other essential services, such as water supply, medical infrastructure, communication, transport and so on are all dependent on the stability of their power supplies. Interruptions or outages in the power supply ca...
1,116,691,498,095
arxiv
\section{Introduction} \label{sec:intro} Semi-supervised learning methods have been a cornerstone in addressing annotated data scarcity by taking advantage of and incorporating the relatively larger amounts of \textit{unlabeled}\footnote{We use descriptors ``(un)labeled'' and ``(un)supervised'' interchangeably through...
1,116,691,498,096
arxiv
\section{Introduction} An unbiased and detailed characterization of the luminosity function (LF) of field galaxies is a basic requirement in many extragalactic issues. \\ At present the local luminosity function is well constrained by the results obtained by the 2dF Galaxy Redshift Survey (2dFGRS, Norberg et al. \cit...
1,116,691,498,097
arxiv
\section{Introduction} This paper has a two-fold goal: to compute, and to study the asymptotic behavior of the generating function of rank $r$ motivic Donaldson--Thomas invariants of ${\mathbb{A}}^3$, namely the series \begin{equation*} \mathsf{DT}_r^{\points}({\mathbb{A}}^3,q) = \sum_{n\geq 0}\,\left[\Quot_{{\mathbb{...
1,116,691,498,098
arxiv
\section*{Acknowledgements} \noindent We express our gratitude to our colleagues in the CERN accelerator departments for the excellent performance of the LHC. We thank the technical and administrative staff at the LHCb institutes. We acknowledge support from CERN and from the national agencies: CAPES, CNPq, FAPERJ...
1,116,691,498,099
arxiv
\section{Introduction} \label{intro} A number of X-ray binaries show flux periodicities at their respective orbital period, which may be caused by a number of effects. First, the source associated with the compact object in a binary may be eclipsed by the companion (usually of high mass) \citep[see e.g. a list ][]{wen...
1,116,691,498,100
arxiv
\section{Introduction} Synchronization which describes the adjustment of rhythms of self-sustained oscillators due to an interaction is a fundamental phenomenon of nonlinear sciences. This phenomenon has been observed in physical, chemical, biological, and social systems \cite{1}. In recent years, many efforts have...
1,116,691,498,101
arxiv
\section{Introduction} \subsection*{Inflation and High-Energy Physics} Inflation, an era of accelerated expansion of the early universe, currently provides us with the best understanding of the initial conditions for the subsequent cosmological eras. The simplest mechanism to explain this quasi-exponential, de Sitt...
1,116,691,498,102
arxiv
\section{Introduction} In recent years, many semi-supervised regression and classification methods have been proposed, see the surveys by \cite{Chapelle2006, zhu2009introduction, SubramanyaTalukdar2014}. These methods demonstrated empirical success on some data sets, whereas on others the unlabeled data did not appear ...
1,116,691,498,103
arxiv
\section{Introduction} While the Berry phase has been shown to be important for spin-dynamics~\cite{spin_wave_dynamics_real_crystals,adiabatic_dynamics_local_spin_moments,spin_dynamics_tddft}, less attention has been paid to geometrical aspects in the exchange constants. Recently, it has been shown that the Dzyalos...
1,116,691,498,104
arxiv
\section{Introduction} \label{sec:introduction} Biomembranes consisting of lipid bilayers can be regarded as thin two-dimensional (2D) fluids, and membrane protein molecules as well as lipid molecules are allowed to move laterally~\cite{Sin72,AlbertsBook}. These membrane inclusions are subject to the thermal motion ...
1,116,691,498,105
arxiv
\section{Introduction} \title{On the stability and magnetic properties of surface nanobubbles in water} \author{\textbf{Siddhartha Sen}\footnote{siddhartha.sen@tcd.ie} } \affiliation{{CRANN}, \\ \emph{Trinity College, Dublin 2, Ireland}} \author{\textbf{Kumar S. Gupta}\footnote{kumars.gupta@saha.ac.in} } \...
1,116,691,498,106
arxiv
\section{#1}\setcounter{equation}{0}} \newcommand{\I}{\mathrm i} \newcommand{\ba}{\begin{array}} \newcommand{\end{array}}{\end{array}} \newcommand{\bal}{\begin{align}} \newcommand{\end{align}}{\end{align}} \newcommand{\begin{eqnarray}}{\begin{eqnarray}} \newcommand{\end{eqnarray}}{\end{eqnarray}} \newcommand{\norm...
1,116,691,498,107
arxiv
\section{Introduction} It is well known that in NIS (Normal metal - Insulator - Superconductor) tunnel junctions the flow of electric current carried by quasiparticles is accompanied by a heat transfer from the normal metal into the superconductor \cite{Nahum, Giazotto}. This happens due to the presence of the superc...
1,116,691,498,108
arxiv
\section{Introduction} An important invariant in graph theory is $\tau(G)$, the number of spanning trees of a graph $G$. The first result related to $\tau(G)$ dates back to 1847 and is attributed to Kirchhoff \cite{Kirchhoff}. In his celebrated theorem he has shown that the number of spanning trees of a graph $G$ is cl...
1,116,691,498,109
arxiv
\section{Introduction} \IEEEPARstart{T}{he} LiDAR (light detection and ranging) is mounted on mobile platforms, for locating multiple targets and obstacles \cite{ Song2016, Kang2012, Ramasamy2016} for tasks such as collision avoidance and path planning \cite{Zeng2018}, and generating 3D maps of the surroundings for loc...
1,116,691,498,110
arxiv
\section{Introduction} \label{sec:intro} After the Higgs discovery at the Large Hadron Collider (LHC)~\cite{Aad:2012tfa,Chatrchyan:2012xdj}, much attention has been devoted to measure the mass and other properties of the Higgs boson as precisely as possible. These properties, within the current experimental and theor...
1,116,691,498,111
arxiv
\section{Introduction} Recently, the study of complex networks has emerged in various range of disciplines and research areas. The World Wide Web has revolutionized the way we deal with everything one deals in daily life. Computer scientists were curious to find a way to handle the wheel of controlling the complexity a...
1,116,691,498,112
arxiv
\section{Introduction} The two-way relay network model is a cooperative communication network that consists of two nodes $1$ and $2$ that want to communicate to each other but there is no direct link between them \cite{ZLWL,RW}. The intermediate relay node $R$ assists the communication between the two nodes. Communica...
1,116,691,498,113
arxiv
\section*{\hspace*{-0.72cm} \normalsize\bf\arabic{section}.$\;$#1}\vspace*{-0.3cm}} \def\subsec#1{\addtocounter{subsection}{1}\subsection*{\hspace*{-0.4cm} \normalsize\bf\arabic{section}.\arabic{subsection}.$\;$#1}\vspace*{-0.3cm}} \vspace{-0.7cm} \begin{flushright} $\vcenter{ { \hbox{{\footnotesize FUT an...
1,116,691,498,114
arxiv
\section{Introduction} \input{sections/introduction} \section{Problem Definition} \label{sec: problem_definition} \input{sections/problem_definition} \section{SCalable Remembering and Unlearning unBound (SCRUB)} \input{sections/method} \section{Related work} \input{sections/related_work} \section{Experiments} \labe...