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1,941,325,220,188
arxiv
\section{Introduction} Due to their ability of inferring and representing 3D surfaces, 3D Morphable Models (3DMMs) have many applications in computer vision, computer graphics, biometrics, and medical imaging \cite{blanz2003face,hu2016face,aldrian2013inverse,staal2015describing}. Many registered raw 3D images (`scans'...
1,941,325,220,189
arxiv
\section{Introduction} \label{sec:intro} Active regions of the solar corona are regions of the enhanced plasma density penetrated by a closed magnetic field. In the Extreme Ultraviolet (EUV) band, active regions are seen as localised bundles of bright plasma loops that are believed to highlight certain magnetic flux t...
1,941,325,220,190
arxiv
\section{Introduction} It is our common understanding that neutrinos are massive and oscillate among families\cite{EarlyMassive}. The first experimental evidence is provided by the SuperKamiokande collaboration\cite{SuperKamiokande}, which has observed atmospheric neutrino oscillations. There have been indications o...
1,941,325,220,191
arxiv
\section{Introduction} \subsection{Observational Background} An ultracompact HII (UCHII) region is one of the earliest signposts for the presence of a young, massive star (for reviews, see \citeauthor{Churchwell2002} 2002 and \citeauthor{Hoare2007} 2007). While the star itself is still too embedded in its parent mole...
1,941,325,220,192
arxiv
\section{\bf Introduction}\label{section-1} In this paper we initiate the study of uniform measure estimates for nodal sets of solutions in elliptic homogenization. We consider a family of elliptic operators in divergence form, \begin{equation}\label{operator} \mathcal{L}_\varepsilon =-\text{\rm div} \big(A(x/\varepsi...
1,941,325,220,193
arxiv
\section{Introduction} \label{sec:intro} \input{intro} \section{The Multimodal Alerting System} \label{sec:method} \input{method} \vspace{-0.3cm} \section{Conclusion \& Future Work} \vspace{-0.1cm} \label{sec:conclusion} \input{conclusion} \bibliographystyle{splncs04.bst} \subsection{Banned Word...
1,941,325,220,194
arxiv
\section{Introduction} \label{introsec} These notes consist of a collection of facts about manifolds with $\ensuremath{\mathrm{G}_2}$ or $\ensuremath{\mathrm{Spin}(7)}$ structures. \begin{itemize} \item In Section~\ref{signssec} we discuss the various sign and orientation conventions commonly used in $\ensuremath{\ma...
1,941,325,220,195
arxiv
\section{Introduction}\label{S:intro} One starts by noting that in (3+1) dimensions the quantity \begin{eqnarray} \label{eq:P_*} P_* =\frac{c^5}{G_N} = 1 \hbox{ Dyson} \approx 3.6\times10^{52} \hbox{ W} \end{eqnarray} has the dimensions of luminosity (equivalently, power). Here $c$ is the speed of light in vacuum...
1,941,325,220,196
arxiv
\section{Introduction} \label{sec:introduction} The human eye is unique in its capacity to look up at the night sky and easily separate out a wide variety of astronomical objects from the all encompassing celestial sphere upon which they lay. A computer, however, finds such a task decidedly non-trivial, often requiri...
1,941,325,220,197
arxiv
\section{Introduction} Use of the mean squared error (MSE) loss function in the context of regression problems has been and remains fairly common owing to convention and its computational simplicity~\cite{Zahra2014}. MSE depends on the assumption that noise in the data has a Gaussian distribution \cite{Heravi2018}. B...
1,941,325,220,198
arxiv
\section{Introduction} \label{Sec:Introduction} The Standard Model Effective Field Theory (SMEFT) allows for model-independent analyses of multi-experiment, multi-observable data \cite{Weinberg,Buchmuller:1985jz,Grzadkowski:2010es}. Higher-dimensional operators, built from Standard Model (SM) fields consistent with...
1,941,325,220,199
arxiv
\section{Introduction} The study of explicit solutions and representation formulas for differential operators is a very classical and important problem in PDEs, which dates back to \cite{P1820,green} for the Laplace operator. In general, this kind of expressions are powerful tools to obtain a wide range of qualitative...
1,941,325,220,200
arxiv
\section{Introduction} \subsection{Setup of rank one perturbations}\label{setup} Let $A$ be a self-adjoint (possibly unbounded) operator on a Hilbert space $\mathcal H$. We are considering a family of rank-one perturbations $A+\alpha(\,\cdot\,,\varphi)\varphi$. Here, if the operator $A$ is bounded, $\varphi$ is a vect...
1,941,325,220,201
arxiv
\section{Introduction} We study two function field analogues of two classical problems in number theory concerning the number of primes in short intervals and in arithmetic progressions. We first introduce the classical problems and then formulate the results in function fields. \subsection{Primes in short intervals}...
1,941,325,220,202
arxiv
\section{Introduction} The study of group rings was initiated in~1837 by Hamilton in order to study first the complex numbers and later the quaternions (see~\cite{Milies}). Given a ring~$R$ and a group~$G$, the group ring~$R[G]$ of~$G$ over~$R$ is the ring whose elements are the linear combinations of elements in~$G$ ...
1,941,325,220,203
arxiv
\section*{Sommaire\vspace{1.5cm}} \makeatletter \def\@sect#1#2#3#4#5#6[#7]#8{\ifnum #2>\c@secnumdepth \let\@svsec\@empty\else \refstepcounter{#1}\edef\@svsec{\csname the#1\endcsname .\hskip .5em}\fi \@tempskipa #5\relax \ifdim \@tempskipa>\z@ \begingroup #6\relax \@hangfrom{\hskip #...
1,941,325,220,204
arxiv
\section{Introduction} Since the discovery of a potential link between the spheroidal components of galaxies and their central supermassive black holes \citep[SMBHs; e.g.,][]{Mag98,Geb00,Mar03,Gul09,Kor13}, the co-evolution of galaxies and SMBHs has been one of the most debated topics in astronomy. Generally, galax...
1,941,325,220,205
arxiv
\section{ Introduction} \label{sec:one} After the discovery of the first high-$T_c$ iron-based superconductor La[O$_{1-x}$F$_x$]FeAs~\cite{Kamihara08} (denoted as 1111 compound), the superconducting transition temperature was rapidly raised up to 55~K with substitution of La by Sm~\cite{Ren08}. While various other fami...
1,941,325,220,206
arxiv
\section{Introduction} Policy evaluation plays a crucial role in many real-world applications including healthcare, marketing, social sciences, among many others. Before deploying any new policy, it is crucial to know the impact of this policy. However, in the aforementioned applications, it is often impractical t...
1,941,325,220,207
arxiv
\section{Introduction} Globular clusters (GCs) are old, very dense, and ubiquitous around galaxies. They have been known and studied for hundreds of years, and yet, many aspects of their formation and evolution remain shrouded in mystery. Their nearly universal luminosity function and apparently ancient epoch of format...
1,941,325,220,208
arxiv
\subsection{Statement of the main results} We study two central questions concerning the quantum Zeno dynamics and the adiabatic theorem.\par First, let ${\mathcal{H}}$ be a Hilbert space and ${\mathcal{B}(\mathcal{H})}$ be the space of bounded linear transformations of ${\mathcal{H}}$ endowed with the usual sup-nor...
1,941,325,220,209
arxiv
\section{Introduction} Differential operators with singular coefficients appear in atomic physics, acoustics, quan\-tum mechanics, solid state physics, aerodynamics, fluid mechanics, aeroacoustics \cite{Alb2ed}, \cite{AlbKur}, \cite{DemkovOstrovskii}, \cite{GolshOri}, \cite{Yablonski}, \cite{Zavalishchin}. An import...
1,941,325,220,210
arxiv
\section{Introduction} Let $G = (V(G),E(G))$ be a finite, simple, connected, and undirected graph of order $|V(G)|=n \ge 2$. For a vertex $v \in V(G)$, the \emph{open neighborhood of $v$} is the set $N_G(v)=\{u \mid uv \in E(G)\}$, the \emph{closed neighborhood of $v$} is the set $N_G[v]=N_G(v) \cup \{v\}$, and the \e...
1,941,325,220,211
arxiv
\section{Introduction} \label{sc:int} This paper is concerned with: \begin{enumerate} \item Numerical solution of the integral equation with the generalized Neumann kernel \begin{equation}\label{e:ie} (\bI-\bN)\mu=-\bM\gamma \end{equation} and numerical computing of the piecewise constant function $h$ given ...
1,941,325,220,212
arxiv
\section{Introduction} A plethora of fascinating new phenomena has been recently reported on oxide hetero-structures of transition metal oxides (TMO) and devices.\cite{Mannhart, Cen, Gozar} For example, an interface between two insulators behaves as a metal \cite{Cen} which becomes superconducting at sufficientl...
1,941,325,220,213
arxiv
\section{Introduction}\label{sec:intro} \subsection{} The natural action of the group $GL_2$ on $\C^2$ induces a $GL_2$-action on $\Hilb^n \C^2$, the Hilbert scheme of $n$ points in the plane. There is also a similar action of the group $SL_2$ on $\cX_{\bc}$, the Calogero-Moser space. The fixed points of...
1,941,325,220,214
arxiv
\section{Introduction} Quantum computation has shown promising features which apparently have no counterparts in classical computing models. The two prominent examples of such features are in Shor's quantum factoring algorithm \cite{shor94} and Grover's quantum search algorithm \cite{grover}. Despite its power, quantu...
1,941,325,220,215
arxiv
\section*{\centering{\textnormal{\normalsize{\textsc{Acknowledgement}}}}}} \renewcommand{\thesection}{ \normalsize \textnormal{\Roman{section}.}} \renewcommand{\thesubsection}{\normalsize \textnormal{\textsc{\textit{\Alph{subsection}.}}}} \pagestyle{fancy} \fancyhead{} \fancyfoot{} \renewcommand{\headrulewidth}{0.0p...
1,941,325,220,216
arxiv
\section{Introduction} This paper describes a numerical treatment of singular solutions of polynomial systems. A trivial example to consider would be a single equation with a double root, $f(x) = x^2 = 0$, or a cluster of two very close roots, $f(x) = x^2 - \varepsilon^2 = 0$, where $0<\varepsilon \ll \mbox{machin...
1,941,325,220,217
arxiv
\section{Introduction} In recent years the game based control has received extensive attention from control community. The game theory has been applied to various control problems, including control of hybrid systems\cite{tom00}, planning hybrid power systems and distributed power control \cite{mei12}, \cite{hei06},...
1,941,325,220,218
arxiv
\section{Introduction} The interplay between spin, charge and orbital degrees of freedom plays an essential role in the description of the complex phase diagrams characterizing strongly correlated materials. One of the important mechanisms describing the properties of these systems is the electron-phonon (e-ph) interac...
1,941,325,220,219
arxiv
\section*{Introduction} In many experimentally meaningful scenarios, a quantity of interest cannot be accessed directly via a measurement, but only retrieved from a sample of data; this problem is commonly referred to as \textit{estimation}. Examples arise in many disciplines: for instance, one might be interested in e...
1,941,325,220,220
arxiv
\section{Acknowledgement} The authors want to acknowledge Prof.~Thuc-Quyen Nguyen and Prof.~Guillermo Bazan for fruitful discussions. This work was supported by the NSF CAREER award through Grant No. DMR-1945098. The calculations were performed as part of the XSEDE computational Project No. TG-CHE180051. Use was made o...
1,941,325,220,221
arxiv
\subsection*{Attack Model} \noindent \textit{Attack Scenarios:} The attack scenarios for an EV are centered around an attacker who aims to cause either physical or financial losses through cyberattacks. Modern vehicles, including EVs, contain several devices called Electronic Control Units (ECUs) that are responsible f...
1,941,325,220,222
arxiv
\section{Introduction} \label{sec:introduction} \IEEEPARstart{F}{ield} Programmable Gate Arrays (FPGAs) have evolved from glue-logic devices to sophisticated heterogeneous computing platforms that pave the way to the new Artificial Intelligence (AI) wave. As a result, datacenter market leaders increasingly integrate ...
1,941,325,220,223
arxiv
\section{Introduction} Despite intensive activity in recent years, the late-time accelerated expansion rate of the Universe remains a theoretical challenge. A wealth of theoretical models and mechanisms were put forward for its solution, see the reviews \cite{SS00}. Remarkably, the simplest model -- GR with a non-re...
1,941,325,220,224
arxiv
\section{Introduction} In recent years, theoretical explanations of the success of gradient descent (GD) on training deep neural networks emerge as an important problem. A prominent line of work \cite{AllenZhu18Beyond, Du18provably, Jacot18NTK, safran18spurious, Chizat18Lazy} suggests that over-parameterization plays a...
1,941,325,220,225
arxiv
\section{Introduction} \subsection{$L$-function of A Smooth Project Curve} Let $C$ be be a smooth projective curve over $\mathbb{Q}$ of genus $g$. Classically, its associated $L$-function is defined by the Euler product $L(C,s) = \prod_p L_p(p^{-s})^{-1}$, where $L_p(T)$ is the local $L$-function. At the good primes, $...
1,941,325,220,226
arxiv
\section{Introduction} \label{sec:introduction} For wireless networks with limited resources, efficient resource allocation and optimization (e.g., power control, link scheduling, routing, congestion control) play an important role in achieving high performance and providing satisfactory quality-of-service (QoS). In...
1,941,325,220,227
arxiv
\section{Extended abstract} The model of query complexity has been essential in the development of quantum algorithms and their complexity: many of the famous quantum algorithms can be best described in this model~(\cite{Deutsch92rapidsolution, DBLP:conf/focs/Simon94,DBLP:conf/stoc/Grover96,DBLP:conf/soda/MagniezSS05...
1,941,325,220,228
arxiv
\section{Introduction} To obtain the matrix element $V_\mathrm{ud}$\ from the decay of the free neutron only two separate inputs are required. These are the neutron lifetime $\tau_n$ and the ratio of axial vector and vector coupling constants $\lambda$, which can be determined by measurements of angular correlations ...
1,941,325,220,229
arxiv
\section{Introduction} Sub-millimetre galaxies (SMGs) are among the brightest objects observed at far-infrared (far-IR) and sub-millimetre (submm) wavelengths in the early universe. SMGs are typically highly optically-obscured by dust that originates from low/intermediate mass stars and supernovae \citep[e.g.,][]{rowl...
1,941,325,220,230
arxiv
\section{Introduction} In today's data-driven world, cybersecurity is crucial for data protection. Many government and private organizations are vulnerable to threats from external actors, and the quality and quantity of cybercrimes keep getting more sophisticated every year. One example of a sophisticated attack is a...
1,941,325,220,231
arxiv
\section{Introduction and Background} Observations indicate that 85\% of the matter in the universe is non-luminous and point towards the existence of cold dark matter particles. Determining the identify of dark matter (DM) is one of the most pressing issues before us today. An important method of searching for dark...
1,941,325,220,232
arxiv
\section{Acknowledgements} \label{sec:thanks} The authors thank the Simons Institute (the Quantum Hamiltonian Complexity program). The first author was supported by the Berkeley Fellow- ship for Graduate Study and NSF grant CCF-1016896 and the second by NSF Grant No. CCF-0832787, ``Understanding, Coping with, and Bene...
1,941,325,220,233
arxiv
\section{Introduction} Stochastic optimal control problems, also known as Markov Decision Processes (MDPs) have found numerous applications in the Sciences and Engineering. In general, the goal is to control a stochastic system so as to minimize the expected running cost of the system. It is well known that the globa...
1,941,325,220,234
arxiv
\section{Introduction} \IEEEPARstart{P}{olar} codes have been subjected to growing attention due to their capability to achieve symmetric channel capacity of binary-input discrete memoryless channels at infinite code length \cite{Arikan, Rezaei2022}. During the last decade, researchers have extensively improved polar c...
1,941,325,220,235
arxiv
\section{Introduction} The use of panel data is extremely common in empirical economics. Panel data is appealing because it allows researchers to estimate the effects of variables of interest while accounting for time invariant individual specific heterogeneity in a flexible manner. For example, the most widespread ...
1,941,325,220,236
arxiv
\section{Introduction} With the advent of quantum information theory and the precision measurement techniques various experiments are being set up to explore the mysteries of nature. There are theories like general relativity and quantum mechanics which fit well with all the experimental results and predict a number of...
1,941,325,220,237
arxiv
\section{Introduction} Realizing string theory as a matrix model is an efficient way for investigating its nature beyond perturbation. Among others, the I$\hspace{-.1em}$IB matrix model is in a sense the simplest proposal, and there are several good reasons to believe that it is a natural framework for type I$\hspace...
1,941,325,220,238
arxiv
\section{Introduction} Interpretability research in natural language processing (NLP) is becoming increasingly important as complex models are applied to more and more downstream decision making tasks. In light of this, many researchers have turned to the attention mechanism, which has not only led to impressive perfor...
1,941,325,220,239
arxiv
\section{Introduction} Differential equations arise in mathematical analysis of many problems from natural and social sciences \cite{bussenberg}, \cite{dim1} - \cite{dim7}, \cite{logan2}, \cite{e1}, \cite{e2}, \cite{vy1} - \cite{vy3}. The reason for this is that the differential equations relate quantities with thei...
1,941,325,220,240
arxiv
\section*{Methods} \subsection*{Experimental device}\label{sec:2} The device contains 20 superconducting qubits (q$_j$ with $j$ varied from 1 to 20), which are fully connected through a common resonator bus R. In our experiments, we use 19 of them, as one qubit (q$_7$) suffers from a strong interaction with a two-lev...
1,941,325,220,241
arxiv
\section{Introduction} In a recent approach of Strominger, Yau and Zaslow \cite{SYZ}, the phenomenon of mirror symmetry on Calabi-Yau threefolds admitting a $T^3$ fibration is interpreted as T-duality on the $T^3$ fibres. According to this formulation one would like to {\it define} the mirror dual to a Calabi-Yau man...
1,941,325,220,242
arxiv
\section{Introduction} The eigenstate thermalization hypothesis (ETH) describes how isolated quantum systems reach thermal equilibrium \cite{Deutsch1991, Srednicki1994, Rigol2008}. The hypothesis is a statement about generic quantum many-body systems and has been verified for a wide variety of physical models \cite{R...
1,941,325,220,243
arxiv
\section{Introduction and motivations} \label{Intro} Human beings naturally tend, in everyday life, to compare and rank concepts and objects such as food, shops, singers and football teams, according to their preferences. In general, to rank a set of objects means to arrange them in order with respect to some characte...
1,941,325,220,244
arxiv
\section{Introduction}\label{section:Introduction} Regular motions in two-dimensional symplectic maps are rotations on smooth invariant curves. If the space is discrete (a lattice, typically), then these curves do not exist, intriguing new phenomena appear, and the stability problem ---the central problem of Hamilto...
1,941,325,220,245
arxiv
\section{Introduction} Quantum computing promises to solve certain problems in a polynomial time which is much faster than the algorithms designed for classical computers \cite{Shor-Grover-1997}. This discovery has attracted tremendous interests and efforts to exploit quantum mechanics for information processing tas...
1,941,325,220,246
arxiv
\section{Introduction} Consider a $\mathbb{Z}^n$-periodic self-adjoint elliptic operator $L$ in $\mathbb{R}^n$. The issue discussed below can be formulated and studied in a more general setting, but the reader can think of the Schr\"odinger operator $L=-\Delta+V(x)$ with a real $\mathbb{Z}^n$-periodic potential $V(x)$,...
1,941,325,220,247
arxiv
\section{Introduction} \newcounter{tblEqCounter} Mathematics, at its core, involves the search for patterns and structure. This paper centers on the search for structure in the setting of 4-manifold trisections and in the interactions of the theory of trisections with symplectic and complex geometry. Mounting evide...
1,941,325,220,248
arxiv
\section{Introduction} Statistical properties of eigenvalues and eigenvectors of random matrices is the central topic of Random Matrix Theory (RMT) \cite{RMT_book} . The key idea of RMT is that many features of complex systems are universal and therefore they can be modelled by ensembles of random matrices, which sha...
1,941,325,220,249
arxiv
\section{Introduction} The systematic study of truncated Toeplitz operators was initiated by Sarason~\cite{Sa}. Given an inner function $u$ on the unit disc, this class, denoted by $\mathcal{T}_u$ consists of those bounded operators on $K_u=H^2\ominus uH^2$ that are compressions of multiplication operators operators...
1,941,325,220,250
arxiv
\section{#1}\setcounter{equation}{0}} \newcommand{\subsect}[1]{\subsection{#1}} \renewcommand{\theequation}{\arabic{section}.\arabic{equation}} \font\mbn=msbm10 scaled \magstep1 \font\mbs=msbm7 scaled \magstep1 \font\mbss=msbm5 scaled \magstep1 \newfam\mbff \textfont\mbff=\mbn \scriptfont\mbff=\mbs \scriptscriptfont\mb...
1,941,325,220,251
arxiv
\section{Introduction} Training a deep neural network requires immense amounts of training data which are often collected using crowd-sourcing methods, such as Amazon’s Mechanical Turk (AMT). However, in practice, the crowd-sourced labels are often noisy \cite{Bi_14_Crowdsource}. Furthermore, naive training of deep...
1,941,325,220,252
arxiv
\section{Introduction} \label{sec:intro} Not even two years passed since the first Hot Jupiter was discovered by \citet{mayorandqueloz1995} that people used the information on the handful of planetary discovered up to then to compare them with Solar System and the three PSR B$1957 +12$ planets \citep{wolszczanandfrail...
1,941,325,220,253
arxiv
\section{Introduction} Multi-agent systems are naturally modeled using the mathematical framework of game theory \cite{fudenberg1991game}. In recent years there has been a surge of research investigating the use of game-theoretic learning processes as a means of controlling multi-agent systems in a decentralized mann...
1,941,325,220,254
arxiv
\section{} In jammed packings of ideal spheres, particles are locked into position by their repulsive interactions with their neighbors, which in turn are locked into position by their neighbors, and so on, so that the entire system is mechanically stable. Pinning is an alternate way of locking a particl...
1,941,325,220,255
arxiv
\section{Introduction} Fluctuation spectra and spectra of response to periodic driving are major tools of characterizing physical systems. The spectra are conventionally used to find system frequencies and relaxation rates and to characterize fluctuations in the system. For example, optical absorption spectra give the...
1,941,325,220,256
arxiv
\section{Introduction} The interaction of interior ocean flows with coastal boundaries is a complicated multi-scale problem with important implications for the dissipation of mesoscale energy and the generation of potential vorticity \citep{DEWARETAL,DEREMBLEETAL}. The dissipation of energy by coastal boundaries may b...
1,941,325,220,257
arxiv
\section{ INTRODUCTION } Groups and poor clusters of galaxies are the building blocks of larger scale structures, and they are particularly important environments for diagnosing the origin of the non-gravitational heating of the intracluster medium (ICM)(Balogh et al.~2006) and for galaxy evolution (Zabludoff \& Mulch...
1,941,325,220,258
arxiv
\section{Introduction} \label{intro} Given a matrix $\mathbf{A}\in\mathbb{R}^{m \times n}$ with missing entries, the objective of matrix completion \cite{Ref18} is to recover the matrix by inferring the missing ones from the known set of entries $(i,j)\in \mathbf{\Lambda}$. The formulation of the mathematical model for...
1,941,325,220,259
arxiv
\section{Conclusions} Cross-camera analytics is a computationally expensive functionality that underpins a range of real-world video analytics applications, from suspect tracking to intelligent retail stores. We presented {ReXCam}\xspace, a system that leverages a \textit{learned model of cross-camera correlations} t...
1,941,325,220,260
arxiv
\section{} \section{\label{sec-intro}Introduction} In laser-wakefield acceleration (LWFA) \cite{tajima1979, esarey_prl1997, faure2004, mangles2004}, a laser creates a plasma wave wakefield with a phase velocity close to the speed of light ($c$). The acceleration gradients in these wakefields can easily exceed 100 GeV/m...
1,941,325,220,261
arxiv
\section{Introduction} In Extreme Value methodology we assume that a random sample $X_{1},...,X_{n}$ from an unknown distribution $F$ belongs to the domain of attraction of a generalized extreme value distribution. Let $X_{n,n}=\text{max}\left(X_{i}\text{'s}\right)$ and assume there exists sequences $a_{n}>0$ and...
1,941,325,220,262
arxiv
\section{Introduction} The recent advent of wide-field imaging surveys of large-scale structure (LSS) enables observations of a rich variety of signals that probe dark matter, dark energy, the nature of gravity and inflation, and other aspects of the cosmology and physics of the Universe. Originally, most of the con...
1,941,325,220,263
arxiv
\section{Introduction} Battery performance plays a key role in the technological progress of portable electronic devices.\cite{Tarascon2001, Goodenough2010} Computer simulations have become an efficient tool for a target-oriented and economic development of battery materials with improved properties\cite{Hautier2010, ...
1,941,325,220,264
arxiv
\section{Application to an hydroelectricity generation channel} \label{appli_EDF} The second application is an industrial problem provided by the French power producer EDF (Electricit\'e de France). EDF uses water resources to generate green energy with run-of-the-river power plants. They rely on open-channel hydraulic...
1,941,325,220,265
arxiv
1,941,325,220,266
arxiv
\section{Introduction \label{intro}} V838 Monocerotis was discovered as an eruptive star at the beginning of January 2002. The main eruption started at the beginning of February 2002, however, and lasted about two months \citep[see e.g.][]{muna02,kimes02,crause03}. The main characteristic of the eruption, which is...
1,941,325,220,267
arxiv
\section{Introduction} \label{sec:introduction} Hosting data-intensive query services in the cloud is increasingly popular because of the unique advantages in scalability and cost-saving. With the cloud infrastructures, the service owners can conveniently scale up or down the service and only pay for the hours of usin...
1,941,325,220,268
arxiv
\section{Introduction} Power flow model is an essential component of planning and optimization of increasingly complex and uncertain distribution networks, including network reconfiguration and economic dispatch. As the traditional alternating current power flow (ACPF) is nonlinear, inefficient and usually makes the op...
1,941,325,220,269
arxiv
\section{Introduction} \label{1} The radioisotope $^{117m}$Sn has already been suggested to be useful both for diagnostic and for therapeutic purposes at the same time. It is used as palliative agent in the case of bone cancer metastases \cite{1,2,3,4}, intra-tumoral administration in the cases of micro-metastases, leu...
1,941,325,220,270
arxiv
\section{Introduction} This article is a part of reconnaissance for a NASA SMEX mission IBEX (\cite{mccomas_etal:04a}; McComas et al, this volume). IBEX will be a spin-stabilized Earth satellite observing Energetic Neutral Atoms (ENA) in the 0.01 -- 6~keV energy band, with sensors looking perpendicularly to the spin a...
1,941,325,220,271
arxiv
\section{Union operation of SeqBDD} \label{sec:apdx_union} This section explains the Union operator as proposed in \citep*{Loekito:2010:BDD}. This Union operator is used in Algorithm 3 line 7. Given two SeqBDDs $P,Q$, The operation to produce $P\cup Q$ is shown in \algref{alg:union}. First, if either of $P$ and...
1,941,325,220,272
arxiv
\section{Introduction} \label{sec:intro} The efficiency of smooth moving-mesh methods for numerical simulations of gas dynamics\footnote{Moving-mesh simulations are often referred to as {\it adaptive simulations} and we shall use this terminology herein.} and related systems has been investigated in recent years ...
1,941,325,220,273
arxiv
\section{Introduction} Deformation transfer has been drawing consistent attention over decades and is enabling many applications. For example, one can easily transfer the pose from the mesh of one person to another in the games and movies. However, It is very challenging when there is a huge "shape gap" given very dif...
1,941,325,220,274
arxiv
\chapter{The Stellar Masses and Star-formation Histories of DOGs at $z \sim \begin{abstract} The {\it Spitzer Space Telescope} has identified a population of ultra-luminous infrared galaxies (ULIRGs) at $z\sim2$ that may play an important role in the evolution of massive galaxies. We measure the stellar masses ($M...
1,941,325,220,275
arxiv
\section{Introduction} \label{intro} Mergers play a fundamental role in the hierarchical models of galaxy formation and evolutions. Among other effects, mergers with a gas-rich galaxy funnel gas toward the central galactic regions \citep{mihos96}, potentially enhancing star formation and triggering the Active Galacti...
1,941,325,220,276
arxiv
\section{Introduction} The geometry of K3 surfaces over the complex numbers has a long history, with many results known about the cohomology, the Picard group, and the automorphism group of an algebraic K3 surface, and how these objects interact. Such results over the complex numbers carry over to other algebraically ...
1,941,325,220,277
arxiv
\section{Introduction} Around the middle of the last century theoretical chemists proposed the use of topological indices to obtain information on the dependence of various properties of organic substances on molecular structure. In this sense, a large number of various topological indices was proposed and considered...
1,941,325,220,278
arxiv
\section{Introduction} \label{sec:intro} In quantum mechanics, a QES spectral problem is one for which it is not possible to obtain the complete energy spectrum analytically \citep[]{turbiner:1988, ushveridze:1994}. This class of Schr\"odinger problems is not limited to those of single particles, as there are also exa...
1,941,325,220,279
arxiv
\section{Introduction}\label{sec1} The recent history of the Brazilian Justice shows relevant transformations regarding having all its procedural documents in digital format. In 2012, the Brazilian Labor Court implemented the Electronic Judicial Process (acronym in Portuguese for “Processo Judicial Eletrônico” - PJe),...
1,941,325,220,280
arxiv
\section{Introduction} \IEEEPARstart{S}{emi-definite} programming (SDP) is an active subfield of convex optimization and has attracted considerable attention due to its widely applications in diverse fields such as control theory\cite{smart_admm,semi_observer,2003Semidefinite}, combinatorial optimization \cite{center_s...
1,941,325,220,281
arxiv
\section{Introduction} In quantum as well as in classical mechanics, the harmonic oscillator is one of the most popular examples to describe harmonic movement of a particle. Their numerous applications and their analytical solvability as quantum systems explain why harmonic oscillator models are thoroughly investigated...
1,941,325,220,282
arxiv
\section{\bf Introduction and notation.} We recall the basic definitions needed to discuss polynomials from $X$ into $Y$, where $X$ and $Y$ are real or complex Banach spaces. We denote by $B_X$ and $S_X$ the closed unit ball and the unit sphere of $X$ respectively. A map $P: X\rightarrow Y$ is a (continuous) {\em $m$-...
1,941,325,220,283
arxiv
\section{#1}} \renewcommand{\theequation}{\thesection.\arabic{equation}} \sect{Introduction\label{intro}} The main aim of this paper, in conjuction with \cite{GZI98}, is to continue the work introduced in \cite{ZG98} which defines ${\Bbb Z_2}$ graded versions of Drinfeld's quasi-Hopf algebras \cite{Dri90}, called qua...
1,941,325,220,284
arxiv
\section{Introduction} In this paper we address the question of finding solutions concentrated on manifolds of positive dimension of supercritical elliptic problems of the type \begin{equation} \label{prob1} -\Delta v= |v|^{p-1} v \ \hbox{in}\ \mathcal{A} ,\quad u=0\ \hbox{on}\ \partial\mathcal{A} , \end{equatio...
1,941,325,220,285
arxiv
\section{Introduction} Control of nonlinear systems has been in focus of intensive research over the last few decades. However, unlike for the control of \emph{Linear Time-Invariant} (LTI) systems, there exists no systematic framework for general nonlinear systems, which incorporates performance shaping into the synth...
1,941,325,220,286
arxiv
\section{The case of the second Wiener chaos} Let us consider $F$ an element of the second Wiener chaos $\text{Ker}(\textbf{L}+2\textbf{Id})$ where $\textbf{L}$ stands for the Ornstein-Uhlenbeck operator. We refer the reader to the book \cite{bakry2013analysis} for an introduction to the formalism of Wiener chaoses f...
1,941,325,220,287
arxiv
\section{Introduction.} \label{sec:introduction} Fix an alphabet $\Sigma$ and let $\mathcal{G}$ be a directed graph whose edges are labeled with symbols in $\Sigma$. Each path in $\mathcal{G}$ corresponds to a finite word obtained by reading the labels of the edges of the path in sequence. The path is said to generate ...