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1,108,101,562,915
arxiv
\section{Introduction} As of May 15, 2020, 4593395 cases and 306376 deaths from 2019 novel coronavirus disease (COVID-19), caused by severe acute respiratory syndrome corona­virus 2 (SARS-CoV-2), were recorded worldwide \cite{csse2020}. Coronaviruses are enveloped non-segmented positive-sense RNA viruses that belong to...
1,108,101,562,916
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 Muon decays in the Earth's atmosphere, differential aging and the paradox of the twins} \vspace*{1.5c...
1,108,101,562,917
arxiv
\section{Introduction} Question answering (\abr{qa}) systems have impressive recent victories---beating trivia masters~\cite{ferruci-10} and superhuman reading~\cite{najberg-18}---but these triumphs hold only if they \emph{generalize}; \abr{qa} systems should be able to answer questions even if they do not look like ...
1,108,101,562,918
arxiv
\section{Introduction} \footnotetext{Invited talk at ``Production and decay of hyperons, charmed and beauty hadrons'', Strasbourg, France, Sep. 5-8, 1995} The physics program at CLEO is at the forefront of heavy flavour research. The emphasis is on the decay of charm hadrons, beauty mesons and tau leptons. There is...
1,108,101,562,919
arxiv
\section{Introduction}\label{sec:intro} One of the profound consequences of quantum mechanics is that something \textit{can} come from nothing. Enforced by the uncertainty principle, the vacuum state of quantum mechanics is teeming with activity. Quantum fluctuations inherent in the vacuum give rise to a host of parti...
1,108,101,562,920
arxiv
\section{Introduction} \label{sec:intro} \vspace{-7pt} Singing voice synthesis~(SVS) is a task that generates singing voices from the given music score and lyrics like human singers. Deep learning based SVS approaches~\cite{ren2020deepsinger,blaauw2020sequence,hono2018recent,gu2021bytesing,ref_xiaoicesing,ref_diffsing...
1,108,101,562,921
arxiv
\section{Introduction} The Anti de Sitter $(AdS)$/Conformal Field Theory (CFT) correspondence \cite{Malda,Gubser,Witten} asserts that certain quantities like correlation functions of fields of a CFT living on the conformal boundary of $AdS$ can be obtained by calculating purely geometrical quantities in the higher dime...
1,108,101,562,922
arxiv
\section{Introduction} Literature analysis plays an important role in contributing to scientific and technological innovation. It facilitates researchers to comprehensively understand the achievements in related fields including the latest advancement and future development trends. How to make it easier and faster for ...
1,108,101,562,923
arxiv
\section{Introduction} \label{s.intro} Since its inception in 1960s, Computed Tomography (CT) has enjoyed a huge success in medical imaging. It is characterized by a specific acquisition and reconstruction process, in which a set of X-ray projections is first acquired for varying positions of the source and the detecto...
1,108,101,562,924
arxiv
\section{Introduction} \label{sec:intro} Recently, the context dependent (CD) deep neural network (DNN) hidden Markov model (HMM) (CD-DNN-HMM) has become the dominant framework for acoustic modeling in speech recognition (e.g. \cite{AmDBN}\cite{DnnForAm}\cite{CdDnn1}\cite{CdDnn2}). However, given that speech is an in...
1,108,101,562,925
arxiv
\section{Introduction} Astronomical survey science is entering a decade which will witness a surfeit of new optical imaging data that will transform astronomical and cosmological research. The new datasets obtained from upcoming ground-based and space-based observing facilities will image vast areas of the sky at unpre...
1,108,101,562,926
arxiv
\section{\label{sec:Intro}Introduction} Low-dimensional quantum spin systems are excellent examples to explore the physics of strongly interacting quantum many-body systems.~\cite{diep} In addition to the inherent quantum nature of the interacting elements (for example localized spins with S=1/2), these systems pr...
1,108,101,562,927
arxiv
\section{#1} \setcounter{equation}{0}} \newcommand{ \hfill (\thesection.\arabic{equation}\alph{letter})}{ \hfill (\thesection.\arabic{equation}\alph{letter})} \newcommand{{(\Box+e^2\rho^2)}}{{(\Box+e^2\rho^2)}} \newcommand{\eql}{\nonumber & \hfill (\thesection.\arabic{equation}\alph{letter}) \cr \addt...
1,108,101,562,928
arxiv
\section{Introduction} Today we believe that the final product of the gravitational collapse is a Kerr-Newman black hole. This is the Carter-Israel conjecture and it is based on the following argument. First, there are some singularity theorems showing that in general relativity the collapsing matter produces space-ti...
1,108,101,562,929
arxiv
\section{Introduction} The multiple antenna broadcast channel (BC) has recently been the subject of tremendous interest, primarily due to the realization that such a channel can provide MIMO spatial multiplexing benefits without requiring multiple antenna elements at the mobile devices \cite{Caire_IT03}. Indeed, it is...
1,108,101,562,930
arxiv
\section{Conclusion and Outlook}\label{Section Conclusion} Motivated by the nestedness issue of Multilevel Subset Simulation, we implement Multilevel Sequential Importance Sampling to estimate the probability of rare events. We assume that the underlying limit state function depends on a discretization parameter $\ell...
1,108,101,562,931
arxiv
\section{Introduction} \setcounter{equation}{0} In this paper, we study the following equation \begin{equation}\label{1.1} -\triangle_{\mathbb{H}^n}u =2n^2u^{q} \quad \text{in} \quad \Omega, \end{equation} where $\Omega$ is a domain in Heisenberg group $\mathbb{H}^n$, and $u$ is a smooth, nonnegativ...
1,108,101,562,932
arxiv
\section{Introduction} It is well-known from the materials science, physics, and chemistry literature, that there is intense interest in studying the mechanics of structures made of graphene. Industrial applications and the potentials for graphene made structures are abundant. For instance, nanoscale devices that us...
1,108,101,562,933
arxiv
\section{\label{sec:level1}Introduction} The geometrical frustration in magnetic systems often causes attractive phenomena such as the spin liquid\cite{Lee2008,Leon2010}, spin ice\cite{Bramwell2001}, and spin nematic order\cite{Momoi2005}. Over several decades, a number of studies have been performed on insulator qua...
1,108,101,562,934
arxiv
\section{Introduction} \label{intro} Identifying and studying the galaxies at high redshift that will evolve into today's normal and massive galaxies remains a major goal of observational astrophysics. Galaxies discovered in deep sub-millimetre and mm-wavelength surveys \citep[e.g.][]{Smail1997, Hughes1998, Barger19...
1,108,101,562,935
arxiv
\section{Introduction} Approximate 70 percent of the global urban water main assets are buried pipes, and in Australia most of them are now reaching over 100 years old \cite{Miro2014}. Due to deterioration with age, those ageing water pipes are frequently burst, which leads to severe implications for the society and th...
1,108,101,562,936
arxiv
\section{Acknowledgement} The work described in this paper is partially funded by the USA National Science Foundation grant CNS-1931962 . \section{Human-Multi-UAV Collaborations} \label{sec:motivating_scenarios} Several research groups have explored the application of UAVs for specific emergency scenarios such as surve...
1,108,101,562,937
arxiv
\section*{Methods} \textbf{Ultracold Bose-Fermi mixture preparation}. We load Na from a Zeeman slower and K from a 2D magnetic-optical-trap (MOT) into a two-species dark-SPOT. The atoms are optically pumped to the $|2,2\rangle$ and $|9/2,9/2\rangle$ states and are then transferred to an Ioffe-Pritchard cloverleaf magn...
1,108,101,562,938
arxiv
\section{Introduction} Metal-insulator transitions (MIT)\cite{MIT1,MIT2,MIT3,MIT4,MIT5} in realistic systems are often considered in a one-particle picture to explain the change of conductivity in a material. In situations such as band, Peierls and Anderson insulators, this yields a successful description, but in the ...
1,108,101,562,939
arxiv
\section{Introduction} \input{src/introduction.tex} \input{src/background-and-requirement-analysis.tex} \input{src/related-work.tex} \input{src/data_modeling.tex} \input{src/visual_design.tex} \input{src/system_overview.tex} \input{src/case_studies.tex} \input{src/expert_interview.tex} \input{src/discussion.tex} \input...
1,108,101,562,940
arxiv
\section{} \section{ Introduction} Multiferroics are materials in which ferroic properties, e.g., magnetism and polar order coexist. Magnetic and ferroelectric ordering couple microscopically or macroscopically to form the magnetic ferroelectrics. The coupling of the two ordering leads to the so-called magnet...
1,108,101,562,941
arxiv
\section{Introduction} Transformers \citep{vaswani-attention} have seen widespread use and success in recent years in deep learning, operating on numerous types of data. It is natural to also apply transformers to graph-structured data, treating the input graph's vertices as a bag of tokens. There are two important is...
1,108,101,562,942
arxiv
\section{Method} \label{sec:method} The pipeline of our method is shown in~\fig{fig:pipeline}. Starting from a goal (a shape with some external loads), we first simulate the stress field using the finite element method (\ssect{sec:method-simulation}). We apply a greedy fiber extraction algorithm...
1,108,101,562,943
arxiv
\section{Introduction} Recent advancements in micro- and nanofluidics motivated a significant interest in electrokinetic phenomena, both from the theoretical and applied points of view \cite{Ramos, Morgan}. These phenomena occur in systems exhibiting spatial separation of charges that results from dissociation of polar...
1,108,101,562,944
arxiv
\section{Introduction} Causal analysis based on linear structural equation model and path analysis is widely used in sociology, economics, biology, etc. Pearl extended the concept of total effects in the path analysis to a general structural equation model and defined it as the intervention effect \cite{pearl1995causa...
1,108,101,562,945
arxiv
\section{INTRODUCTION} Not long after the discovery of pulsars---whose characteristic signal was linked to magnetic fields \citep{hewish_etal_1968}---the potential role of magnetic fields in the core-collapse supernova (CCSN) explosion mechanism began to be investigated \citep[e.g.,][]{leblanc_wilson_1970,bisnovatyi-...
1,108,101,562,946
arxiv
\section{Introduction} Dadarlat \cite{D0} computed the homotopy set $[X,\Aut A]$ for a Kirchberg algebra $A$ under a mild assumption of a space $X$. He constructed a bijection between $[X,\Aut A]$ and a relevant KK-group, and showed that it is a group homomorphism when $X$ is an H'-space (co-H-space). However, the g...
1,108,101,562,947
arxiv
\section{Computational method} The Hamiltonian of studied model reads \begin{align} H=&\sum_{ij,\sigma} \begin{pmatrix} a_{i\sigma}^{\dagger} & b_{i\sigma}^{\dagger} \end{pmatrix} \! \begin{pmatrix} t_{aa} & t_{ab}\\ t_{ab} &\ t_{bb} \end{pmatrix} \! \begin{pmatrix} a_{j\sigma}^{\phantom\...
1,108,101,562,948
arxiv
\section{Introduction} \label{intro} The study of dissipative systems in quantum theory is of strong interest and relevance either for fundamental reasons \cite{Zurek} and for its practical applications \cite{Amir1,NMR}. The explicit time dependence of the Lagrangian and Hamiltonian operators introduces a major diffic...
1,108,101,562,949
arxiv
\section{Introduction}\label{s:intro} Directed graphs are natural combinatorial objects which are used to model systems in many areas including biology (for example~\cite{protein,LC}), the social sciences (for example~\cite{RPW,JR}) and computer science (for example~\cite{HC,MS}). In this paper we consider the probl...
1,108,101,562,950
arxiv
\section{Static Analysis} \label{analysis} XLA operators are relatively low-level compared to those in front-end frameworks like TensorFlow, which has two implications. First, lots of structural information about the model is lost when lowered to XLA (e.g., what parts of the graph are weight updates), which requires us...
1,108,101,562,951
arxiv
\section{Introduction} The concern over the potential link between the black hole and the particle has a long and continuous history because it may provide us useful information about the connection between general relativity and quantum mechanics. In 1935, trying to in search of a geometric model for elementary parti...
1,108,101,562,952
arxiv
\section{Acknowledgments} This work is partially funded by the German Federal Ministry of Education and Research under project ScaDS Dresden/Leipzig (BMBF 01IS14014B). \begin{small} \bibliographystyle{abbrv} \section{Introduction} Mining frequent structural patterns from a collection of graphs, usually referre...
1,108,101,562,953
arxiv
\section*{Dicke simulators with emergent collective quantum computational abilities\\ supporting material} \subsection*{Pietro Rotondo, Marco Cosentino Lagomarsino, and Giovanni Viola } In this material, we give more details on the derivations of the results presented in the main text. \section{Derivation of Equ...
1,108,101,562,954
arxiv
\section{Introduction} Random cell movement plays a very important role in embryonic morphogenesis, wound healing, cancer cells proliferation, and many other physiological and pathological processes \cite{R}. The microscopic theory of the migration of cells and bacteria towards a favorable environment (chemotaxis...
1,108,101,562,955
arxiv
\section{Introduction} The Erd\H{o}s conjecture on distinct distances in the Euclidean plane ${\mathbb{R}^2$ says, $d(P):=|\{d(p,q)\mid p,q\in P\}|\gtrsim \frac{|P|}{\sqrt{\log|P|}}$ for any finite set $P\subset{\mathbb{R}^2$. Here ``$\gtrsim$" means ``$\geq C\cdot$" for some absolute constant $C>0$ and $d(,)$ is the E...
1,108,101,562,956
arxiv
\section{introduction} At the heart of the definition of quantum cluster algebras is a desire to understand nice bases in quantum algebras arising from the representation theory of non-associative algebras. Of particular interest is the dual canonical basis in the quantized coordinate ring of a unipotent group, or mor...
1,108,101,562,957
arxiv
\section{Acknowledgments} \label{sec:ack} The research work supported by the National Key Research and Development Program of China under Grant No. 2018YFB1004300, the National Natural Science Foundation of China under Grant No. U1836206, U1811461, 61773361, the Project of Youth Innovation Promotion Association CAS und...
1,108,101,562,958
arxiv
\section{Introduction} While the broad emission-line region (BELR) in active galactic nuclei (AGN) remains an enigma, in recent years there has been considerable focus on radiation line driven and magneto hydrodynamic driven winds from an accretion disk \citep[e.g.,][]{bp82,kk94,mcgv95,psk00,everett05} as a key compon...
1,108,101,562,959
arxiv
\section{} \begin{acknowledgments} We thank J. Bouma for technical support. This work was supported by the Space Research Organization Netherlands (SRON), Grant No. MG-051, the "Cold Atoms" program of the Dutch Foundation for Fundamental Research on Matter (FOM) and the European Union, Grant No. HPRN-CT-2000...
1,108,101,562,960
arxiv
\section{INTRODUCTION} The electronic and optical properties of nanomaterials such as carbon nanotubes (CNTs), graphene, and nanowires show unique behavior due to their reduced dimensions. For example, the electronic properties of CNTs depend strongly on their diameter\cite{leonard}, and many-body effects are kno...
1,108,101,562,961
arxiv
\section{Introduction} Cylindrical systems in Einstein's theory puzzles relativists since Levi-Civita found its vacuum solution in 1919 \cite{Levi}. The precise meaning of its two independent parameters is still hard to grasp and, in particular, the one that describes the Newtonian energy per unit length $\sigma$ look...
1,108,101,562,962
arxiv
\section{Introduction} The AdS/CFT correspondence \cite{ADSCFT} is one of the most fascinating theoretical breakthroughs in recent years. In its original form it postulated the duality between two completely different theories -- the supersymmetric gauge theory ${\cal N}=4$ Super-Yang-Mills theory in 4 dimensions and...
1,108,101,562,963
arxiv
\section{Introduction} Semantic segmentation \cite{7913730} involves classifying image pixels into a given category. While deep learning has vastly improved semantic segmentation performance, it requires large amounts of data with pixel-level annotation. \begin{figure}[t] \centering \fbox{\includegraphics[width=0.47\te...
1,108,101,562,964
arxiv
\section{Introduction} Let $G=(V, E)$ be a graph where $V$ and $E$ are the vertex and edge set, respectively. The \emph{neighbourhood} of a vertex $v\in V$ is the set of all adjacent vertices of $v$ and is denoted as $N(v)$. The \emph{degree} of a vertex, denoted as $d(v)$, is the number of edges incident to $v$. A ver...
1,108,101,562,965
arxiv
\section{Introduction} \label{sec1} Electrical power grids are expected to be reliable at all times. The rise of intermittent renewable generation is making this expectation challenging to live up to. Power imbalances caused by generation intermittency may cause grid stability constraints to be violated:~80\% of the b...
1,108,101,562,966
arxiv
\section{Introduction} The phenomenon of Anderson localization \cite{Anderson} has been studied both experimentally and theoretically for already half a century \cite{thouless74,Ping_Sheng,bart99}. It takes place for waves in strongly disordered media when interference effects become plethoric in the multiple scatterin...
1,108,101,562,967
arxiv
\section{Introduction} Decision Trees (DTs) and Random Forests (RFs) are arguably the most popular non-linear machine learning models of today. In Kaggle's 2019 report on the \emph{State of Data Science and Machine Learning} \cite{Kaggle2019}, DTs and RFs appear as second most widely used techniques, right after linear...
1,108,101,562,968
arxiv
\section{Introduction} The stock market crash of 2008 is one of the largest stock market crashes in the history of capitalist economies. During the period from 2004 through 2013, the Dow Jones Industrial Average hit a high of 14,164.43 on October 9, 2007. For the eight trading days between October 1 and October 10, 2...
1,108,101,562,969
arxiv
\section{Introduction} The probability density function (PDF) on $z_l \in [0,1]$ $(l=1,\dots,N)$ \begin{equation}\label{1.1} {1 \over S_n(\alpha_1,\alpha_2,\tau)} \prod_{i=1}^n z_i^{\alpha_1 - 1} (1 - z_i)^{\alpha_2 - 1} \prod_{1 \le j < k \le n} |z_j - z_k|^{2 \tau}, \end{equation} where \begin{eqnarray}\label{1.1a} S...
1,108,101,562,970
arxiv
\section{ Introduction } It is well known that at sufficiently low temperature, an electron with spin up is paired with its partner with spin down across the Fermi surface to form a Cooper pair with total momentum zero and becomes superconductor and exhibits superfluid property. This phenomenon is well des...
1,108,101,562,971
arxiv
\section{Introduction} \label{sec:introduction} The recent interest in non-lorentzian theories and their associated geometries is, among other things, due to the following developments: \begin{enumerate}[label=(\roman*)] \item \emph{non-relativistic holography} \cite{sachdev2011quantum} \cite{zaanen2015holographic}...
1,108,101,562,972
arxiv
\section{Introduction} Wilson and Cowan \cite{wandc} proposed a model for describing the dynamics of localized populations of excitatory and inhibitory neurons. This model is a coarse-grained description of the overall activity of a large-scale neuronal network, employing just two differential equations \cite{Kilpat...
1,108,101,562,973
arxiv
\section{Introduction} Most software systems today are configurable. Despite the undeniable benefits of configurability, large configuration spaces challenge developers, maintainers, and users. In the face of hundreds of configuration options, it is difficult to keep track of the effects of individual configuration...
1,108,101,562,974
arxiv
\section{Introduction} The computation of solutions maximizing the \emph{social welfare}, i.e., maximizing the total ``happiness'' of the advertisers, in sponsored search auctions (SSAs) strongly depends on how such happiness is defined. Clearly, the more clicks their ads receive, the more content advertisers are. A n...
1,108,101,562,975
arxiv
\section{Introduction} The dynamics of molecular motors is an important topic in biophysics and nanotechnology. In the living and in the artificial nanoscale world fast non-diffusive directed transport or rotary motion constitute key ingredients of any complex structure. Molecular motors are the ``nanomachines'' which...
1,108,101,562,976
arxiv
\section{Introduction} This work is about a study of ancient stained glass windows as they might be used in the Cistercian art in France in the middle of the XIIIth century. Using a model of the abbey church of Royaumont, optical simulations are done with Virtuelium, a physically-based rendering open source software d...
1,108,101,562,977
arxiv
\section{Introduction}\label{sec:int} Although being ``invented" around the same time as the conventional calculus, fractional calculus did not attract much attentions of researchers until very recently. Due to the nonlocal nature of fractional integral or differential operators, the numerical schemes for solving fract...
1,108,101,562,978
arxiv
\section{Introduction} A set of simple closed curves on a surface is said to fill if it cuts the surface into topological disks and once-punctured disks. Any such filling set must contain at least two curves; by a simple topological argument (see for instance \cite{ts}) if two curves fill, they must intersect at least...
1,108,101,562,979
arxiv
\chapter*{Dedication} \addcontentsline{toc}{chapter}{Dedication} \input{./chapters/Dedication} \chapter*{Acknowledgement} \addcontentsline{toc}{chapter}{Acknowledgement} \input{./chapters/Acknowledgement} \chapter*{Abstract} \addcontentsline{toc}{chapter}{Abstract} \input{./chapters/Abstract} \chapter*{List of ...
1,108,101,562,980
arxiv
\section{Introduction}\label{sec:int} Inelastic collisions of charged particles with matter probe the response of many-electron systems ranging from linear response in the perturbative limit to the strong-field non-linear response in the non-perturbative regime at low projectile velocities. The characteristic energy lo...
1,108,101,562,981
arxiv
\section{Introduction} In~\cite{Han_Kobayashi}, the capacity region of interference channel is studied for both discrete and Gaussian cases. In this paper we study the discrete interference channels $W_{Z|X,Y}$ and $\tilde W_{\tilde Z|X,Y}$ with two pairs of encoders and decoders as shown in Figure~\ref{fig.interferenc...
1,108,101,562,982
arxiv
\section{Introduction} \label{sec:introduction} Online social networks (OSN) have grown significantly over the last ten years with billions of active users using a variety of social network services. OSNs have revolutionized the way people interact. People join social networking sites to connect and communicate wit...
1,108,101,562,983
arxiv
\section{Introduction} One of the greatest mysteries of neural networks (NNs) is their ability to generalize well without any explicit regularization even when they are heavily overparametrized \citep{breiman1995reflections, CZhang}. For conventional machine learning algorithms, without a regularization term, heavil...
1,108,101,562,984
arxiv
\section{Introduction} Signalized intersections are major sources of traffic delay and collision within modern transportation systems. The measures to improve the operational efficiency of a signalized intersection can be grouped in to four categories: \begin{enumerate*}[label=\arabic*)] \item Optimization of Signal ...
1,108,101,562,985
arxiv
\section{Introduction} The possible existence of buckminsterfullerene (C$_{60}$) in astrophysical environments has long been suggested \citep{kroto}, but only recently has observational evidence for emission from C$_{60}$ in the gas phase been forthcoming. Gas phase C$_{60}$ has now been detected in the enviro...
1,108,101,562,986
arxiv
\section{Introduction} We consider the 3-D Navier-Stokes (NS) initial value problem \begin{equation}\label{nseq0} v_t - \nu \Delta v = -\mathcal{P} [ v \cdot \nabla v ] + f(x),\ \ v(x, 0) = v_0 (x), \ \ x\in\mathbb{T}^3 [0,2\pi] ,\ \ t\in\mathbb{R}^+ \end{equation} where $v$ is the fluid velocity and $\mathcal{P} = I...
1,108,101,562,987
arxiv
\section{Introduction} Black-box optimization seeks to optimize a function based solely on input-output information. This problem is of particular interest in many scientific and engineering applications and is quite relevant to several machine learning tasks. In the former case, the optimized black box is often the r...
1,108,101,562,988
arxiv
\section{Introduction} In the last years, increasing attention has been paid to modified theories of gravity in order to understand several open cosmological questions such as the accelerated expansion of the universe \cite{Carroll} and the dark matter origin \cite{Cembranos:2008gj}. Some of those theories modify Gen...
1,108,101,562,989
arxiv
\section{Introduction} \label{sec:intro} Federated learning (FL)~\cite{mcmahan2017communicationefficient} is a learning paradigm that trains models from distributed users or participants (e.g., mobile devices) without requiring raw training data to be shared, alleviating the rising concern of privacy issues when learn...
1,108,101,562,990
arxiv
\section{Introduction} The paper considers consistent couplings of the Einstein equations for a pseudo-Riemannian metric with a completely symmetric tensor $\om_{i_{1}\dots i_{k}}$. The couplings are defined for a class of tensors that includes trace-free Codazzi tensors and conformal Killing tensors. For example, for...
1,108,101,562,991
arxiv
\section{INTRODUCTION} Correlated electron materials with geometrically frustrated lattice structures hold great promise for novel quantum electronic states. In addition to the quantum spin liquid \cite{anderson73-87,palee08,balents10} observed in $\kappa$-organics \cite{kanoda03,kanoda05,kanoda08,matsuda08} near the M...
1,108,101,562,992
arxiv
\section{Introduction} \label{sec1} Recently it was argued \cite{GL} that the probability to count $N$ indistinguishable particles, bosons or fermions, in binned-together output ports of a unitary $M$-port, averaged over the Haar-random unitary matrix representing the multiport or, for a fixed multiport, over th...
1,108,101,562,993
arxiv
\section{Introduction} We develop an application, called HoloFEM, for solving Poisson's equation with the finite element method (FEM) using Microsoft's mixed reality glasses HoloLens \cite{hololens}. The aim is to set up and solve a partial differential equation (PDE) in the real world geometry surrounding the HoloLen...
1,108,101,562,994
arxiv
\section{Free-Agent Model} \label{free-agent-discounted-cost-models} The impossibility of constant factor delegation for the standard model, as discussed in Proposition \ref{prop:impos1}, motivates us to design efficient delegation strategies for variants of this model as defined in Section \ref{model-variants}. We o...
1,108,101,562,995
arxiv
\section{Introduction} To date, most studies of ferroelectric materials have concentrated on transition metal oxide systems such as PbTiO${_3}$ and BaTiO${_3}$, which feature highly ionic interactions and large Born effective charges. Unfortunately, most known ferroelectric thin films cannot maintain the desired sponta...
1,108,101,562,996
arxiv
\section{Introduction} In quantum key distribution (QKD), two parties, Alice and Bob, want to communicate in a secure fashion despite the presence of Eve, who is eavesdropping on their communication channel. They do this through establishing a cryptographic key that is known only to them and no one else \cite{Experimen...
1,108,101,562,997
arxiv
\section{Introduction} There are continued interests in accurate modeling of gas-phase thermochemistry and dynamics that involve transition-metal and heavier elements, where relativistic effects play an important role. For instance, scientists at the US Air Force recently performed an experiment, aiming to use chemi-io...
1,108,101,562,998
arxiv
\section{Introduction} The determination of the hadronic structure from first principles belongs to the key investigation topics in lattice QCD. Central to our understanding of hadron structure are the structure functions which describe the distribution of quarks and gluons inside hadrons. In the last years some prom...
1,108,101,562,999
arxiv
\section*{Introduction} \label{intro} Understanding the price formation mechanisms is undoubtably among the most exciting challenges of modern finance. \emph{Market impact} refers to the way market participants' actions mechanically affect prices. Significant progress has been made in this direction during the past de...
1,108,101,563,000
arxiv
\section{Introduction} Optical chirality plays an important role in the optical sensing of biomolecules (see, e.g., [1]) and the interaction of light with chiral nanostructures or metamaterials [2]. The nonreciprocity in transmission or circular dichroism measures the chiral effects in the interaction of the optical f...
1,108,101,563,001
arxiv
\section{Introduction} First-order methods in convex optimization have attracted significant attention in statistical learning in recent years. They are appealing to many learning problems, such as LASSO regression and matrix completion, which have diverse applications in analyzing large-scale biological systems and h...
1,108,101,563,002
arxiv
\section{Introduction}\label{TuringIntro} In determining the number of non-trivial zeroes of the Riemann zeta-function $\zeta(s)$ in a given range, one proceeds in two stages. First, one can compute a number of zeroes along the critical line using Gram's Law\footnote{Briefly: The Gram points $\{g_{n}\}_{n\geq -1}$ are...
1,108,101,563,003
arxiv
\section{Introduction} Toroidal order is a peculiar magnetic state, which accompanies spontaneous breaking of both time-reversal and spatial-inversion symmetries. The toroidal moment is defined by the sum of outer products of magnetic moments and polarization vectors; its simplest form is given by spin ``loops" aroun...
1,108,101,563,004
arxiv
\section{Introduction}\label{intro} Hardy martingales developed alongside Banach spaces of analytic functions and played an important role in establishing their isomorphic invariants. For instance those martingales were employed in the construction of subspaces in $L^1/H^1$ isomorphic to $L^1.$ An integrable Hardy...
1,108,101,563,005
arxiv
\section{Introduction} \label{sec:intro} Recently, language models (LMs) trained on large datasets have achieved remarkable success in various Natural Language Processing (NLP) tasks (cf. \citealp{1905.00537, wang2018glue}). The literature of targeted syntactic evaluations has shown that these models implicitly learn s...
1,108,101,563,006
arxiv
\section{Introduction} An active line of research studies the relations between structural properties of groups and sets of invariants. There is a large number of examples of this and we name only four which might be considered as the genesis of this type of investigations; these four examples should also clarify ou...
1,108,101,563,007
arxiv
\section{BENCHMARK PROBLEMS} Most of works describing infrared emission from astronomical sources present various computational results. Yet, it is difficult to use those results for the code verification. While many of the model parameters are usually explicitly listed, very often it is not easy to recognize all the ...
1,108,101,563,008
arxiv
\section{Introduction} \label{sec:intro} Mira A ($o$ Ceti; Mira) is an oxygen-rich, long-period variable star on the asymptotic giant branch (AGB). Together with Mira B (VZ Ceti), possibly a white dwarf \citep{mirab_wd}, they form the symbiotic binary system Mira AB. Mira A is the prototype of Mira variables. Its peri...
1,108,101,563,009
arxiv
\section{Introduction} Spanning tree is a well-studied and fundamental structure in graph theory and combinations. The well-known minimum spanning tree (Min-ST) problem asks for a spanning tree of a weighted graph, with minimum total edge weight. In contrast, the maximum spanning tree (Max-ST) problem asks for a spann...
1,108,101,563,010
arxiv
\section{Introduction}\label{sec:intro} Recent research \cite{dixit2013towards, tootoonchian2010hyperflow, levin2012logically, koponen2010onix, berde2014onos} in Software-Defined Networking (SDN) employs multiple distributed controllers for scalability and reliability reasons. Using distributed controllers allows the...
1,108,101,563,011
arxiv
\section{Introduction: Convexity and comparative convexity} \subsection{Convexity: Basic definitions} To start with, let us recall some elementary definitions of convexity, and then introduce the broader notion of {\em comparative convexity}~\cite{ConvexFunction-2006,Hormander2007}. A set $\calX\subset\bbR^d$ is...
1,108,101,563,012
arxiv
\section{\bf 1. Introduction} I give a further calculation of R\'enyi entropy as a partial extension of earlier work, [\putref{dowgjmsren}], to which I have to refer for basic explanation and definitions. For this reason I proceed somewhat rapidly. The field under consideration is a $p$--form propagated by the de Rham...
1,108,101,563,013
arxiv
\section{Introduction} This paper deals with digital sequences modulo $m$. Such sequences are ``simple'' in the sense that they are deterministic and uniformly recurrent sequences. We show that the situation changes completely when we consider the subsequence along squares, i.e., we show that this subsequence is normal...
1,108,101,563,014
arxiv
\section{Introduction} \label{sec:intro} Since the recent swampland program (see \cite{Palti:2019pca,vanBeest:2021lhn} for reviews) postulates that not all self-consistent quantum field theories admit a UV completion into a theory of quantum gravity, the notion of naturalness has to be changed. What seems natural from...