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1,116,691,500,815
arxiv
\section{Introduction} Chest X-Ray (CXR) image report generation aims to automatically generate detailed findings and diagnoses for given images, which has attracted growing attention in recent years~\cite{wang2018tienet,jing2017automatic,li2018hybrid}. This technique can greatly reduce the workload of radiologists fo...
1,116,691,500,816
arxiv
\section{The spectral densities of $Z^+_{cs}$} In order to calculate the spectral density of the operator product expansion (OPE) side, the light quark ($q=u$, $d$ or $s$) and heavy-quark ($Q=c$ or $b$) full propagators $S^q_{i j}(x)$ and $S^Q_{i j}(p)$ are employed, say \begin{eqnarray} S^q_{j k}(x) \! \! & = & \! ...
1,116,691,500,817
arxiv
\section{Introduction} The fractional Laplace operator $(-\triangle)^{\frac{\alpha}{2}}$ for $\alpha\in (0,2)$ in $\mathbb{R}^n $ is defined on the Schwartz class through the Fourier transform as $$\widehat{((-\triangle)^{\frac{\alpha}{2}} f)} (\xi)=(2\pi |\xi|)^{\alpha}\widehat{f}(\xi),$$ where $\widehat{f}(\xi)=\int...
1,116,691,500,818
arxiv
\section{Introduction} A real analytic Levi-flat set $M$ in $\mathbb C^{N}$ is a real analytic set such that its regular part is a Levi-flat CR manifold of hypersurface type. An important special case (closely related to the theory of holomorphic foliations) arises when $M$ is a hypersurface. The local geometry of a...
1,116,691,500,819
arxiv
\section{Introduction} Neutral kaon and neutrino oscillations are discussed in theoretical physics for more than half a century already. The standard theoretical approach to describing these phenomena is based on considering the states with definite strangeness or lepton number ($K^0, \bar K^0$ and the neutrino fl...
1,116,691,500,820
arxiv
\section{SUPPLEMENTARY MATERIAL:\\Orthogonality catastrophe as a consequence of the quantum speed limit} \section{Survival probability behavior as a function of $\lambda$} As commented in the main text, the behavior of the survival probability shows markedly different characteristics depending on which phase the LMG ba...
1,116,691,500,821
arxiv
\section{Introduction} We describe two recent additions to SFIRE, a fire spread model coupled with WRF \cite{Mandel-2009-DAW,Mandel-2011-CAF}. This model builds on the earlier CAWFE code \cite{Clark-1996-CAF-x,Clark-2004-DCA,Coen-2005-SBE}; see \cite{Mandel-2011-CAF} and \url{http://www.openwfm.org/wiki/WRF-Fire_devel...
1,116,691,500,822
arxiv
\section{Introduction} \label{sec:intro} Wireless Acoustic Sensor Network (WASN) based animal monitoring is of great importance for biologists to monitor real-time wildlife behavior for long periods and under variable weather/climate conditions. The acquired animal voice can provide valuable information for researchers...
1,116,691,500,823
arxiv
\section{Introduction} \label{sec:intro} Let $F$ be a field, and $f\in F[x]$ be an irreducible polynomial. Results from classical field theory tells us that we can always find some field extension $F\subseteq L$ such that $f$ contains a root in $L$. The construction of this field extension is quite simple, we just ta...
1,116,691,500,824
arxiv
\section{\label{introduction}Introduction} Quark flavor mixing in the Standard Model arises from unitary matrices which diagonalize the corresponding hermitian mass matrices. The CKM quark-flavor mixing matrix $V$ in the physical basis~\cite{2a,2b,2c}, is given by $V= V_{\rm u}V^\dagger_{\rm d}$, where the unitary mat...
1,116,691,500,825
arxiv
\section{Introduction} The tiny value of the cosmological constant (dark energy), which is responsible for the accelerated expansion of the Universe and constitutes $70\%-73\%$ of its energy density, is a major puzzle for modern particle physics. A fit to the recent data shows that its value is $\Lambda \sim 10^{-123}...
1,116,691,500,826
arxiv
\section{Introduction} The non-strictly thermal spectrum by Parikh and Wilczek \cite{key-1,key-2} of Hawking radiation \cite{key-3} implies that emissions of subsequent Hawking quanta are countable \cite{key-4,key-5,key-17,key-20,key-21,key-22,key-23,key-24}, and, in turn, generates a natural correspondence between Ha...
1,116,691,500,827
arxiv
\section{Introduction}\label{section_intro} Recall that a \textit{combinatorial $d$-manifold} is a simplicial complex in which the link of every vertex is PL homeomorphic to the $(d-1)$-dimensional sphere. In 1987 Brehm and K\"uhnel~\cite{BrKu87} proved that any combinatorial $d$-manifold with less than $3d/2+3$ vert...
1,116,691,500,828
arxiv
\section{Introduction} \label{Introduction} Fiber-tracking is probably one of the most fascinating applications in diffusion MRI (dMRI), gathering a lot of attention since its introduction because of its ability to reconstruct the main neuronal bundles of the brain from the acquired data. In fact, the random movement ...
1,116,691,500,829
arxiv
\subsection{Derivation of Divergence-Preserving Coarse-Graining}\label{sec:DP_derivation} With the definitions given in \cref{sec:defs}, we may derive a condition on the averaging weights for $\EXP{\cdot}^\beta$ to be a divergence-preserving coarse-graining. Combining \cref{eq:div_def} with \cref{eq:div_condition} give...
1,116,691,500,830
arxiv
\section{ Introduction } \label{s1} Recent LEP measurements \cite{LEP} fix the number of light neutrinos to three, therefore a simple further repetition of fermion families is excluded. Extensions of the minimal Standard Model by heavy fermions are, however, possible. Examples ...
1,116,691,500,831
arxiv
\section{Introduction\label{sec:1}} Nonparametric Bayesian methods like the Dirichlet process~\citep{ferguson} and the Gaussian process~\citep{rasmussen} allow practitioners to specify flexible priors over infinite-dimensional objects like functions and probability densities. These have seen wide success in applied di...
1,116,691,500,832
arxiv
\section{Introduction} Program proof is the application of deductive verification techniques to programs. Industrial acceptability of such tools relies on the high degree of automation provided by modern automatic provers, in particular SMT solvers, when the source code is restricted to a suitable language subset. SPA...
1,116,691,500,833
arxiv
\section{Introduction}\label{introduction} This paper considers finite-level M/G/1-type Markov chains, which belong to a special class of upper block-Hessenberg Markov chains. Finite-level M/G/1-type Markov chains appear in the analysis of finite semi-Markovian queues (see, e.g.,~\cite{Baio94a,Baio93b,Cuyt03,Herr01}...
1,116,691,500,834
arxiv
\section{Introduction} \label{sec:intro} It is now well established that the high redshift intergalactic medium (IGM) is enriched with heavy metals to metallicites of $10^{-3}$ to $10^{-2}$~${\rm Z}_{\odot}$ \citep[e.g.,][]{cowie95, schaye03, simcoe04, aguirre08}. While metals only constitute a fraction of the total b...
1,116,691,500,835
arxiv
\section{Introduction and Contributions} In mobile cellular systems of the fourth (4G)- and fifth generation (5G), the number of \acp{BS} per unit area is expected to grow substantially~\citep{6736747}. One of the main performance limiting factors in such dense networks is \emph{aggregate interference}. Hence, its acc...
1,116,691,500,836
arxiv
\section{Introduction} The celebrated theory of linear response of systems close to equilibrium has been developed in the first half of the XX century, and has proven highly successful in describing a very wide range of macroscopic phenomena, particularly thanks to the usefulness of the Fluctuation-Dissipation Theo...
1,116,691,500,837
arxiv
\section{Introduction} Neutron-antineutron ($n-\bar n$) oscillations involve a change of the baryon number ($B$) by two units ($|\Delta B| = 2$). An experimental observation would allow a glimpse on physics beyond the standard model, see e.g.~\cite{Mohapatra:2009}. Since in such oscillations $B$ is violated the pro...
1,116,691,500,838
arxiv
\section{\uppercase{Introduction}} \label{sec:introduction} Discriminative CNNs, such as those constructed by \cite{kamnitsas2017efficient,havaei2017brain,ronneberger2015u}, have consistently ranked on the top of the leaderboard in many brain lesion segmentation challenges \cite{maier2017isles,winzeck2018isles,baka...
1,116,691,500,839
arxiv
\section{Introduction}\label{introduction} The stochastic evolution of systems composed by elements which interact among each other has always been of great interest in several areas of application, e.g. in medicine a tumor growth is the evolution of a system of interacting cells~\cite{YakTso}, in socio-economics...
1,116,691,500,840
arxiv
\section{Introduction} The integration of nonreciprocal photonic devices on Si or CMOS platforms has been challenging in the past decades. The known optical nonreciprocity can be divided into two classes: forward-backward nonrecipricity (FBNR) and left-right nonrecipricity (LRNR). The first class of nonreciprocal comp...
1,116,691,500,841
arxiv
\section{Introduction} Object detection, as a key component in a wide spectrum of vision-based intelligent applications~\cite{dalal2005histograms,felzenszwalb2008discriminatively}, aims to simultaneously locate and classify objects in images. Thanks to the strong ability of Convolutional Neural Networks (CNN)~\cite{kri...
1,116,691,500,842
arxiv
\section{Critical properties of QCD} The study of the QCD phase diagram in the baryonic chemical potential-temperature plane is a subject of rapidly increasing interest in the last decade. Recent investigations \cite{SRS} suggest that in the real world where the $u$ and $d$ quarks have a small current mass ($O(10 M...
1,116,691,500,843
arxiv
\subsection{The Distance Problem at mmWave-THz Bands} \hl{Comment the main aspects relative to the distance problem, wireless comms oriented.} \cite{akyildiz2018combating}\textcolor{red}{Odysseas} \\ \\ \\ \hl{Describe the existence of prototypes for RIS, wireless comms oriented.}\textcolor{red}{Odysseas and Sergi} \\ ...
1,116,691,500,844
arxiv
\section{Introduction} \IEEEPARstart{E}{lectrical} machines have numerous real-world applications, ranging from home appliances to the automotive industry. Permanent magnet synchronous machines (PMSM) gained popularity in recent years due to their high efficiency, large power density, and high torque-cu...
1,116,691,500,845
arxiv
\section*{Introduction} In the mathematical field, equation solving has been a key action to progress in the evolution of the human species. For most of the human history, this task was performed by hand, involving long paper-written equations and solutions to be computed. First digital electronics and then computers h...
1,116,691,500,846
arxiv
\section*{Acknowledgment} The authors would like to thank Xiang Yi, Donggyu Kim, David Bono, and Cheng Peng at MIT for technical discussions and their assistance during prototyping and testing. \section*{Appendix I: Estimation of the Contribution of the Microwave Phase Noise on the Sensor Sensitivity}\label{sec_append...
1,116,691,500,847
arxiv
1,116,691,500,848
arxiv
\section{Introduction} Multiple-input multiple-output (MIMO) detection is a fundamental problem in modern digital communications~\cite{multiuser_detection,fifty_years_of_MIMO}. The MIMO channel can be modeled as \begin{equation}\label{eq:mimo} \vr = \mH \vx^*+\vv, \end{equation} where $\vr\in \C^m$ is the vector of...
1,116,691,500,849
arxiv
\section{Introduction} \label{sec:intro} There have been continuous efforts on synthesizing high-fidelity speech by computer. These so-called text-to-speech (TTS) systems have various applications in human-computer interaction, assistive technology, media and entertainment. In particular, deep learning-based TTS syste...
1,116,691,500,850
arxiv
\subsection{Our Contributions} We show that relaxing the optimality requirement on the bound allows to recover doubly-exponential running times: an approximately optimal bound can be determined using the alternating color technique, which was introduced by Kupferman et al.\ to solve the decision problems for $\...
1,116,691,500,851
arxiv
\section{Introduction} Due to its impact on revenues, costs, and more importantly, on service levels, logistics management has become increasingly critical in the apparel industry (Kiesmuller and Minner 2009\nocite{kiesmuller2009inventory}). As consumers demand greater product variety and higher levels of responsive...
1,116,691,500,852
arxiv
\section{Introduction} Distinguishing knots and links up to ambient isotopy is the central problem in knot theory. The main technique that a knot theorist uses is to compute some knot invariants and see if one of them can be of help. Over the last 35 years tremendous progress has been made in the development of several...
1,116,691,500,853
arxiv
\section{Different Budgets and Prices are Necessary}\label{app: same budget counter example} Consider the instance with $3$ agents and $2$ items. Agent $A$ has value $1$ for both items. Agent $B$ has values $1/2$ and $1$ for the first and second item, respectively, while agent $C$ has values $1$ and $1/2$. It is eas...
1,116,691,500,854
arxiv
\section{Introduction} For a plausible category of quasigroups, it seems that homotopies between quasigroups, taken as morphisms, are better choice than homomorphisms (see \cite{Gvaramiya}). However, homomorphisms are sometimes easier to work with. For example, isotopies do not preserve units---every quasigroup is iso...
1,116,691,500,855
arxiv
\section{Solutions in terms of hypergeometric function} There are well known solutions of the Schr\"{o}dinger equation \begin{equation} \left[ -\frac{d^{2}}{dx^{2}}+U\left( x\right) \right] \psi =E\psi \label{r01} \end{equation with the P\"{o}schl-Teller potentia \begin{equation} U\left( x\right) =\alpha ^{2}\...
1,116,691,500,856
arxiv
\section{Introduction} Let $X$ be an abelian surface over a field ${\mathfrak k}$. Denote by $\operatorname{Coh}(X)$ the category of coherent sheaves on $X$, by $\bl{D}(X)$ the bounded derived category of $\operatorname{Coh}(X)$ and by $K(X)$ the Grothendieck group of $\bl{D}(X)$. For $\beta \in \operatorname{NS}...
1,116,691,500,857
arxiv
\section{Main result and discussion} \label{intro} \subsection{Smallest hyperbolic manifolds} \label{ss:intro-thm} Let $\mathbf H^n$ be the hyperbolic $n$-space. By a \emph{hyperbolic $n$-manifold} we mean an orientable manifold $M = \Gamma\backslash \mathbf H^n$, where $\Gamma$ is a torsion-free discrete subgroup $\...
1,116,691,500,858
arxiv
\section{Introduction} Whether the radio and the gamma-ray luminosities of blazars are intrinsically correlated is a long-standing debate. The presence or absence of such a correlation could provide insight into blazar emission physics. At radio frequencies low enough that synchrotron emission is self-absorbed on phys...
1,116,691,500,859
arxiv
\section{The State Space of Quantum Mechanics is Redundant} The first paper I'd like to discuss is ``The measurement postulates of quantum mechanics are operationally redundant'' by Masanes, Galley and M\"uller~\cite{Masanes:2019}. The short version of my spiel is that they present a condition on \emph{states} that se...
1,116,691,500,860
arxiv
\section{Introduction} A meticulous measurement of energy and arrival direction of individual primary cosmic ray (CR) nuclei has revealed that the intensity of CRs in the TeV band is remarkably isotropic. The measured degree of deviation from isotropy, about few parts per ten thousand, appears to be much smaller than t...
1,116,691,500,861
arxiv
\section{Introduction} Supersymmetry (SUSY) extension is one of the most promising way to solve the gauge hierarchy problem in the standard model \cite{SUSY}. However, since any superpartners have not been observed in current experiments, SUSY should be broken at low energies. Furthermore, soft SUSY breaking term...
1,116,691,500,862
arxiv
\section{Introduction} Cancer is one of the leading causes of death in the world, with over 80,000 deaths registered in Canada in 2017 (Canadian Cancer Statistics 2017). A computer-aided system for cancer diagnosis usually involves a pathologist rendering a descriptive report after examining the tissue glass slides obt...
1,116,691,500,863
arxiv
\section{Introduction} Realizing non-Abelian statistics in condensed matter systems is an exciting prospect, both from the point of view of fundamental theory, and for possible applications to quantum computing\cite{NayakReview}. Though the possibility of non-abelian statistics is well-established in the context of qu...
1,116,691,500,864
arxiv
\section{Introduction} The field of terrestrial planet formation is gradually approaching a clearer understanding of the appropriate initial conditions to form the terrestrial planets with the aid of progressively high-resolution simulations performed on fast computers. In retrospect, the Classical model \citep{Chamber...
1,116,691,500,865
arxiv
\section{Nomenclature} \vspace{-8 mm} {\renewcommand\arraystretch{1.0} \noindent\begin{longtable*}{@{}l @{\quad=\quad} l@{}} $\mathbf{u}$, $p$ & Fluid velocity and pressure\\ $P$& Airfoil surface pressure time series\\ $C_d, C_l$& Drag and lift coefficients\\ $q$ & Smoothed drag coefficient \\ $\omega$ & Extreme event...
1,116,691,500,866
arxiv
\section{Introduction} In this paper we study the family of Lieb-Thirring inequalities\cite{lieb1975bound,lieb1976ineq}, which state that for any potential $V \in L^{\gamma+\frac d 2}(\R^{d},\R)$ and non-negative exponent $\gamma$, \begin{align} \label{LT} \tr((-\Delta + V)_{-}^{\gamma}) \leq L_{\gamma,d} \int V^{\...
1,116,691,500,867
arxiv
\section{Missing Proofs in Section \ref{sec:pate}} \begin{theorem} Let $\bar{\mathcal{M}} \newcommand{\cN}{\mathcal{N}}_{\theta}$ be $\alpha$-fair w.r.t.~$(X,\tilde{A},Y)$ and $h(\cdot)$, and $\tilde{A}$ shares the same support $[m]$ as $A$ where, for $a\in [m], x\in \mathcal{X}, y\in\mathcal{Y}$, the difference b...
1,116,691,500,868
arxiv
\section{Introduction} \label{ag1} Let $X$ be a smooth manifold, and write $C^\iy(X)$ for the set of smooth functions $c:X\ra\R$. Then $C^\iy(X)$ is a commutative $\R$-algebra, with operations of addition, multiplication, and scalar multiplication defined pointwise. However, $C^\iy(X)$ has much more structure t...
1,116,691,500,869
arxiv
\section{Introduction} Computers analyze massive quantities of data with speed and precision \cite{nvidia2020,intel2019}. At both the hardware and software levels, this performance depends on fixed and precisely engineered protocols for representing and executing basic operations on binary data \cite{intel2019,Neumann1...
1,116,691,500,870
arxiv
\section{Introduction} \label{sec:Intro} The Advanced Laser Interferometer Gravitational-wave Observatory\footnote{\url{http://www.ligo.caltech.edu/}} (aLIGO; \citealt{Aasietal2015}) and Advanced Virgo\footnote{\url{http://www.ego-gw.it/}} (AdV; \citealt{Acerneseetal2015} have made the first six detections of gravit...
1,116,691,500,871
arxiv
\section{Introduction} \input{sections/1_introduction} \section{Related Work} \input{sections/2_related_work} \section{Dataset Collection Pipeline} \input{sections/3_data_collection} \section{The Resulting Data} \input{sections/4_resulting_data} \section{Experiments} \input{sections/5_experiments} \section{Conclus...
1,116,691,500,872
arxiv
\section{Introduction} A key concept in mathematical finance is that of absence of arbitrage. Informally speaking, an arbitrage opportunity is the possibility of making money out of nothing without taking any risk. Clearly, such strategies should be excluded in order to ensure market efficiency. The mathematical formu...
1,116,691,500,873
arxiv
\subsection*{Acknowledgements} {#1} \addtocontents{toc}{\protect\setcounter{tocdepth}{1}} } \newcommand{\Abs}[1]{\left\vert#1\right\vert} \newcommand{\bgu}{\mathring{{\bf u}}} \newcommand{\bgB}{\mathring{{\bf B}}} \newcommand{\bfomg}{\boldsymbol{\omega}} \newcommand{\bfPsi}{\boldsymbol{\Psi}} \newcommand{\b...
1,116,691,500,874
arxiv
\section{Introduction}\label{Introduction} For a bounded measurable function $\sigma = \sigma (x, \xi_1, \xi_2)$ on $(\mathbb{R}^n)^{3}$, the bilinear pseudo-differential operator $T_{\sigma}$ is defined by \[ T_{\sigma}(f_1,f_2)(x) =\frac{1}{(2\pi)^{2n}} \int_{(\mathbb{R}^n)^{2}}e^{i x \cdot(\xi_1+\xi_2)} \sigma (...
1,116,691,500,875
arxiv
\section{Hierarchical graph construction } The hierarchical graph constructed according to WordTree is shown in Figure \ref{office_graph_65}. \begin{figure}[!h] \begin{minipage}[b]{1\linewidth} \centering \includegraphics[width=3.4in]{images/office_graph_65.png} \caption{A hierarchical graph of 87 nodes...
1,116,691,500,876
arxiv
\section{CONCLUSIONS} \label{sec:conclusion} We presented a novel incremental semiparametric modeling approach for inverse dynamics learning, joining together the advantages of parametric modeling derived from rigid body dynamics equations and of nonparametric Machine Learning methods. A distinctive trait of the propo...
1,116,691,500,877
arxiv
\section{Introduction} \ {\it Two neighbors may agree to drain a meadow, which they possess in common: because it is easy for them to know each other's mind; and each must perceive, that the immediate consequence of his failing in his part, is the abandoning of the whole project. But it is very difficult, and indeed...
1,116,691,500,878
arxiv
\section{Introduction} Bitcoin is the most popular and successful cryptocurrency. Although Bitcoin has the largest market cap and holds a high volume of transactions per day, its growth as a currency has been gradual compared with its overheated growth as a speculative instrument. Bitcoin offers a lot of peer-to-peer p...
1,116,691,500,879
arxiv
\section*{Introduction} Let $\alg{G}$ be a quasisplit reductive group over a local or global field $F$. Let $n$ be a positive integer and let $\mu_n$ denote the group of $n^{\th}$ roots of unity in $F$. Assume that $\mu_n$ has order $n$. Let $\alg{G}'$ be a central extension of $\alg{G}$ by $\alg{K}_2$, in the sens...
1,116,691,500,880
arxiv
\section{Introduction} One of the main weaknesses of stellar physics remains our poor description of thermal convection. It is true that the widely used mixing-length treatment permits to construct models which represent fairly well the gross properties of stars, but it fails when one attempts to apply it to more su...
1,116,691,500,881
arxiv
\section{Introduction} \label{intro} Galaxy mergers are commonly thought to be the main mechanism driving the coevolution of galaxies and their central supermassive black holes (SMBH). An SMBH binary is likely to form in the centre of the merged galaxy and subsequently accrete from a circumbinary disc. It is reasonable...
1,116,691,500,882
arxiv
\section{Introduction} Graph representation learning has been widely adopted to improve the performance of numerous scenarios, including traffic prediction \cite{DBLP:conf/ijcai/WuPLJZ19}, recommendation systems \cite{DBLP:conf/sigir/0001DWLZ020}, and drug discovery \cite{DBLP:conf/nips/LiuABG18}. As a powerful strat...
1,116,691,500,883
arxiv
\section{Introduction}\label{sec:sec1} Droplet impact on solid or liquid interfaces is a ubiquitous and fascinating phenomenon in nature \cite{Martin1993DropletImpact, Yarin2005Review}, and has a wide range of applications; these include inkjet-printing, spray-painting, spray-cooling, internal combustion engines, fire...
1,116,691,500,884
arxiv
\subsubsection{#1}} \def{\rm diam}{{\rm diam}} \def{\rm env}{{\rm env}} \def{\hspace{-1pt}\top}{{\hspace{-1pt}\top}} \def\mathbb{R}{\mathbb{R}} \def\mathbb{N}{\mathbb{N}} \def\mathbb{Z}{\mathbb{Z}} \def\mathbb{C}{\mathbb{C}} \def{\rm W}{{\rm W}} \def{\rm C}{{\rm C}} \def{\rm H}{{\rm H}} \def{\rm L}{{\rm L}} \d...
1,116,691,500,885
arxiv
\section{Introduction} The origin of flavor has been a significant puzzle in particle physics since the discovery of the muon. The replication of fermion generations and the strongly hierarchical pattern of their masses and mixing angles is left unexplained in the Standard Model. In most theories of flavor, new ...
1,116,691,500,886
arxiv
\section{Introduction} Cooperative diversity by using relays in wireless networks allows increasing the total throughput of the network while (possibly) relying on single antenna nodes. Fundamental principles and the main idea of cooperative communications can be found in \cite{b1}, where a three-terminal Relay Channel...
1,116,691,500,887
arxiv
\section{Introduction} In the recent years there emerged a large number of articles devoted to scalar fields, which are necessary for an explanation of a secondary acceleration of the Universe. It is reasonable to take models with minimal interaction, in which interaction of a scalar field with an <<ordinary matter>>...
1,116,691,500,888
arxiv
\section{Introduction}\label{Intro} The properties of single polymer chains at surfaces have received considerable attention in recent years. Much of this has been spurred by new experimental techniques such as atomic force microscopy (AFM) and optical/magnetic tweezers \cite{Smith} which allow one to manipulate single...
1,116,691,500,889
arxiv
\section{introduction} Trisecting an arbitrary angle and doubling the cube by ruler and compass are two of the famous problems posed by Greeks which are known to be unsolvable. The first proof of the impossibility for the geometric constructions is attributed to Wantzel (1837). For history on this subject, we refe...
1,116,691,500,890
arxiv
\section{Introduction} Pre-trained language models such as ELMo~\cite{peters2018deep}, GPT~\cite{radford2018improving}, BERT~\cite{devlin2018bert}, and ERNIE~\cite{sun2019ernie} have proved to be effective for improving the performances of various natural language processing tasks including sentiment classifica...
1,116,691,500,891
arxiv
\section{CDF II detector and trigger} \label{sec:ss-det} CDF~II is a multipurpose detector, equipped with a charged particle spectrometer and a finely segmented calorimeter. In this section, we describe the detector components that are relevant to this analysis. The description of these subsystems can be fo...
1,116,691,500,892
arxiv
\section{Introduction} Self-organization is the spontaneous formation of structure via the interactions of their constituent particles \cite{whitesides_self-assembly_2002}. The resulting structures from a self-organized system can be found in equilibrium and non-equilibrium states; the latter provides a pathway toward...
1,116,691,500,893
arxiv
\section{Introduction} In flavor physics, the two ratios $R_D$ and $R_{D^*}$ are among several long-term tensions between the Standard Model (SM) and the related experimental measurements. These ratios are defined by \begin{align} R(\{D^*,D\}) \equiv \frac{\mathcal{B}(B_q\rightarrow \{D^*,D\} \tau\nu)}{\mathcal{B}(B_...
1,116,691,500,894
arxiv
\section{Introduction} Interference alignment, in a variety of forms \cite{Jafar_FnT}, has produced some of the most novel \cite{Cadambe_Jafar_int}, albeit fragile \cite{Arash_Jafar_GC15, Arash_Jafar_IC} solutions for circumventing the interference barrier in wireless interference networks. Remarkably, the same idea...
1,116,691,500,895
arxiv
\section{Introduction} Wannier functions (WF) were introduced by Wannier in 1937 \cite{W} as bases in subspaces of states corresponding to energy bands in solids, bases consisting of exponentially localized functions (localized orbitals). For periodic crystals they are defined as Fourier transform of Bloch functions ...
1,116,691,500,896
arxiv
\section{Introduction} \label{sec:introduction} \setcounter{footnote}{0} Early numerical investigations of the formation of the first stars in metal-free cosmic halos arrived at the conclusion that the stars were isolated and rather massive, with masses $\gtrsim 100\,M_\odot$ \citep{Bromm:99,Bromm:02,Abel:00,Abel:02,...
1,116,691,500,897
arxiv
\section{Introduction} The operations performed by message passing Graph Neural Networks (GNNs) emulate the structure of the input graph. While this property has clear computational advantages, it brings with it a series of fundamental limitations. As observed by \citet{GIN} and \citet{morris2019weisfeiler} the local...
1,116,691,500,898
arxiv
\section*{Introduction} \label{0} In \cites{LZa,LZ}, we developed a theory of Grothendieck's six operations for \'etale cohomology of Artin stacks and prove several desired properties including the base change theorem. In the article, we develop the corresponding adic formalism and establish adic analogues of ...
1,116,691,500,899
arxiv
\section{Introduction} One of the most important sectors of the standard model is Yang-Mills theory which describes QCD and the electro-weak theory. The degrees of freedom of a gauge theory are encoded in the connection$\ (A_{\mu})^{a}$, which is a Lie algebra valued one form. The action functional is invariant u...
1,116,691,500,900
arxiv
\section{Introduction} Denning's seminal work \cite{Denning76} proposed \textit{complete lattices} as the appropriate mathematical framework for questions regarding \textit{secure information flow} (SIF). An information flow model (IFM) is characterised as $\langle N, P, SC, \sqcup, \sqsubseteq \rangle$ where: \textit{...
1,116,691,500,901
arxiv
\section{INTRODUCTION} In recent years, many new charmed mesons have been discovered experimentally, including lots of orbitally high excited states. For example, in 2004, the FOCUS Collaboration \cite{Focus2004} and the Belle Collaboration \cite{Belle2004} observed the $D_0^{*}$, which is the $1P$ scalar and has been...
1,116,691,500,902
arxiv
\section{Introduction} Partial Differential Equations with nonlocal or fractional operators are widely used to model scientific problems in mechanics, physics, signal processing and other subjects, see for example \cite{signal} and references therein. We consider in this paper a nonlocal conservation law which appears...
1,116,691,500,903
arxiv
\section{Introduction}\label{sec:intro} \begin{comment} Thermodynamics was built on experimental grounds, in order to tame the power of fire~\cite{1824Carnot}. Initially centered on the notions of heat and temperature, this phenomenological approach has given rise to numerous applications, from heat engines to cryogen...
1,116,691,500,904
arxiv
\subsection{Graphs with large damage throttling number}\label{sec:largedamagethrot} In this subsection, we show that there exists connected graphs with high cop number and high damage number. Since $c(G) \leq \operatorname{th}_c(G)$ for any graph $G$, if it were true that $\operatorname{th}_c(G) = O(\sqrt{n})$ for all ...
1,116,691,500,905
arxiv
\section*{#1}% \else \vspace{.05in}\footnotesize \parindent .2in {\upshape\bfseries #1. }\ignorespaces \fi} {\if@twocolumn\else\par\vspace{.1in}\fi} \newenvironment{AMS}{\begin{@abssec}{\AMSname}}{\end{@abssec}} \newcommand{\qed}{\nobreak \ifvmode \relax \else \ifdim\lastskip<1.5em \hskip-\lastskip \hskip1.5em plus0e...
1,116,691,500,906
arxiv
\section{Acknowledgments} This work was supported in part by National Key R{\&}D Program of China (2020AAA0107700), by National Natural Science Foundation of China (62102353, 62227805), by National Key Laboratory of Science and Technology on Information System Security (6142111210301), by State Key Laboratory of Math...
1,116,691,500,907
arxiv
\section{Introduction} Multi-access edge computing (MEC) is an emerging service network architecture to push powerful services to the proximity of end users, which includes not only the network services as proposed in the formerly mobile cloud computing, but also sensing, computing, storage and intelligence. Thus, serv...
1,116,691,500,908
arxiv
\section{Introduction} The success of the Standard Model (SM) has been confirmed by the LHC and it implies the existence of a mass gap between SM fields and possible new-physics (NP) states. Therefore, effective field theories (EFTs) are very convenient in order to study systematically low-energy data to search for tr...
1,116,691,500,909
arxiv
\section{The barycenter method} I wish to search for a minimizer of a function $f : \mathcal{X} \rightarrow \mathbb{R}$ using the formula \begin{equation} \label{eq:barycenter} \hat{x}_n = \frac{\sum_{i=1}^n x_i \mathrm{e}^{- \nu f(x_i)}}{\sum_{i=1}^n \mathrm{e}^{- \nu f(x_i)}}, \end{equation} which expresses the cent...
1,116,691,500,910
arxiv
\section{Introduction} Understanding the spectrum of hadrons reveals information on the non-perturbative aspects of QCD \cite{Godfrey:1998pd} and on the inner structure of hadrons. The {Regge trajectory} is one of the effective approaches for studying hadron spectra \cite{Regge:1959mz,Collins:1971ff,Chew:1961ev,Hey:19...
1,116,691,500,911
arxiv
\section{Introduction} Background knowledge plays a very important role in human conversations. For example, to have a meaningful conversation about a movie, one uses their knowledge about the plot, reviews, comments and facts about the movie. A typical conversation involves recalling important points from this backg...
1,116,691,500,912
arxiv
\section{Introduction}\label{sec:intro} The popularity of cloud computing is clearly demonstrated by its wide adoption: for example, nearly 60\% of the Apache Spark installations are deployed in the Cloud~\cite{cloudera2018}. The benefit from embracing the Cloud paradigms typically lies in the reduced cost of ownershi...
1,116,691,500,913
arxiv
\section{Introduction} \label{sec:intro} Supervised machine learning generally requires a large amount of labeled training data for an effective training of the underlying prediction model, especially when the prediction model is complex, \textit{e.g.}, Deep Neural Networks (DNN), where the number of parameters ...
1,116,691,500,914
arxiv
\subsection*{Acknowledgments} The authors would like to thank CAPES, CNPQ, FUNAPE-GO, and FAPESP for partial financial support.