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BkiUdoY4dbghMG6xpZYO | 5 | 1 | \section*{Acknowledgements}
We wish to thank Dr. Andrea Geralico and Dr. Damiano Tommasini for the support with the numerical analysis and Prof. Salvatore Capozziello for useful discussions. This work was partially supported by DGAPA-UNAM, Grant No. 113514, and CONACyT, Grant No. 166391.
| train/arxiv |
BkiUdoU5qsBC8zW3y8KN | 5 | 1 | \section{Introduction}
\begin{figure}
\centering
\includegraphics[trim={0.2cm 0cm 0.4cm 0cm},clip,width=0.3\textwidth]{freq_bias.pdf}
\vspace{-2mm}
\caption{Typical popularity distribution of items depicting the long tail.\label{fig:freq_bias}}
\vspace{-4mm}
\end{figure}
The goal of session-based recommendation (... | train/arxiv |
BkiUaXnxK5YsWTJsNBiq | 5 | 1 | \section{Introduction}
The classical theorem of B\'ezout~\cite{Bezout} bounds the number of solutions
to a system of polynomials by the product of their degrees.
While this B\'ezout bound is sharp for generic systems of polynomial equations,
that is no longer the case when the equations possess additional structure.
F... | train/arxiv |
BkiUbbM5qsNCPSsgaKqk | 5 | 1 | \section{Introduction}
Since the pioneering Bell paper \cite{Bell} the Bell inequalities became the subject of intensive study (for a review see \cite{Liang},\cite{Brunner}). Their importance stems from the fact that their violation at the quantum level provides the evidence that the quantum theory cannot be viewed as ... | train/arxiv |
BkiUaF825V5hcGj03HSJ | 5 | 1 | \section{Introduction}
\label{sec:intro}
Research on wave energy converters (WECs) has concentrated traditionally on systems of small floating bodies, like offshore heaving buoys (see \cite{EV76}--\cite{ FA02}). However, the seminal theories on WECs that originated from this first scientific approach to wave energy ext... | train/arxiv |
BkiUdfPxaKPQoka4R7Xr | 5 | 1 | \section{Introduction}
During the last ten years, much have been done about classification of special solutions of isomonodromy equations.
Recall how Painlev\'e and Garnier differential equations arise in the computation of monodromy-preserving
deformations of linear
equations over the Riemann sphere. Consider the ... | train/arxiv |
BkiUfGk5qsFCiE6Ue_hi | 5 | 1 | \section*{Data Analysis Recipes:\\
Products of multivariate Gaussians\\
in Bayesian inferences}
\noindent\textbf{David W. Hogg}\footnote{%
The authors would like to thank
Will Farr (Stony Brook),
Dan Foreman-Mackey (Flatiron),
Rodrigo Luger (Flatiron),
Hans-Walter Rix (MPIA),
and
Sam Roweis (deceased... | train/arxiv |
BkiUbCk5qWTD6essZG9s | 5 | 1 | \section{Introduction}\label{sec:Introduction}
The pioneering works of Feynman \cite{feynman1986quantum, feynman1982simulating}, Bennett and Brassard \cite{BB84}, Deutsch \cite{deutsch1985quantum}, Shor \cite{shor1994algorithms}, and others have strongly established that using quantum resources in computation, communi... | train/arxiv |
BkiUfp7xaKgQZUmnaXGu | 5 | 1 | \section{INTRODUCTION}
Magnetically induced ferroelectricity or electric control of magnetic ordering has been intensively %
investigated since a colossal magneto-electric (ME) effect was found in TbMnO$_3$.\cite{Kimura_nature} %
Recent experimental studies have discovered a variety of ferroelectric magnetic compounds... | train/arxiv |
BkiUdak5qX_Bpe9RFdgN | 5 | 1 | \section{Introduction}
\label{intro}
Most of the known exoplanets orbit late-F, G, or early-K dwarfs,
with masses ranging from 0.7 to 1.2\,M$_{\odot}$. There are nearly
2,000 such stars within 50\,pc brighter than V=8. In contrast
there are just a handful of M dwarfs brighter than V=8.
Although M dwarfs make up 70... | train/arxiv |
BkiUd8o25V5hegR8ZTYV | 5 | 1 | \subsection{Discovery and confirmation}
We searched a sample of objects selected as being potentially under-luminous relative to the main sequence using \emph{Gaia} Data Release 2 (DR2) astrometry. The selection is described by
\begin{equation}
\label{eq:selection}
G_\mathrm{mean}+5\times\left[\log(\sigma+\sigm... | train/arxiv |
BkiUdcjxK1ThhAqzW2kY | 5 | 1 | \section{Introduction} \label{sec:intro}
The fluctuations of virtual charged particles in the vacuum of quantum electrodynamics (QED) give rise to nonlinear, effective couplings between electromagnetic fields.
While this has been realized theoretically already in the early days of QED \cite{Heisenberg:1935qt,Weisskopf... | train/arxiv |
BkiUdh85qoYDgeESlhml | 5 | 1 | \section*{Summary}
Malignant mesothelioma is classified into three histological subtypes, Epithelioid, Sarcomatoid, and Biphasic according to the relative proportions of epithelioid and sarcomatoid tumor cells present. Biphasic tumors display significant populations of both cell types. Current guidelines recommend that... | train/arxiv |
BkiUdmE4eIOjR-dm5eBC | 5 | 1 |
\section{Implementation in Mathematica}
\label{sec:appendix_mathematica}
The following short Mathematica script takes as input a graph $G$ (in the example below, this is the edge-graph of the dodecahedron), and an index $k$ of an eigenvalue.
It then compute the $v_i$ (or \texttt{vert} in the code), \shortStyle{i.e.,... | train/arxiv |
BkiUdMM5qhLBAgyet4wH | 5 | 1 | \section{Introduction}
As targeted data rates exceed $400$~Gbps, simple but powerful hard-decision (HD) forward-error-correction (FEC) codes has gained renewed interest in optical transport networks (OTNs). Staircase codes (SCCs)~\cite{Smith2012}, which use iterative bounded-distance-decoding (BDD), is a family of HD-... | train/arxiv |
BkiUdgA4uzlhsl0arra3 | 5 | 1 | \section{Introduction}
Coloring problems are among the most studied problems in algorithmic graph theory. In its classical form, the $k$-coloring problem asks if there is an assignment of $k$ colors to the vertices of a graph in such a way that no edge is monochromatic. Many generalizations and variations of the cla... | train/arxiv |
BkiUdOfxaKgT2YGEmwjG | 5 | 1 | \section{Introduction}\label{sec1}
In this paper, we assume that all graphs are loopless, while parallel edges are allowed.
For any graph $G$, let $V(G)$ and $E(G)$ be the vertex set
and edge set of $G$.
For any edge set $F\subseteq E(G)$,
let $G/F$ be the graph obtained from $G$ by
contracting all edges in $F$, and r... | train/arxiv |
BkiUbYU4eIZijWIz2VdC | 5 | 1 | \section{Introduction}
\noindent The dominant way of selling ad-impressions on ad-exchanges (AdXs) is now through real-time bidding (RTB) systems. These systems leverage auctions at scale to allocate user impressions arriving at various digital publishers to competing bidding advertisers or intermediaries such as dema... | train/arxiv |
BkiUbOU5i7PA9KOTUFdt | 5 | 1 | \section{Introduction}
Unprecedented properties of whispering-gallery-mode resonators (WGMRs) \cite{BGII, Ultra_high_Q_crystalline_microcavities, WGM_microresonators_sensing_lasing, Nonlinear_and_quantum_optics, Optical_resonators_part1, Optical_resonators_part2}, including extraordinary quality factors and extremely s... | train/arxiv |
BkiUeR7xK0iCl2n1_-h8 | 5 | 1 | \section{Introduction}
All considered graphs in this paper are simple, finite and undirected. We follow~\cite{BonMur08} for all terminology and notation not defined here. A $k$-(vertex-)coloring of a graph $G$ is an assignment $\varphi: V(G)\to\{1,\ldots,k\}$. A coloring $\varphi$ is said to be \textit{proper} if eve... | train/arxiv |
BkiUd-A5qhDBeB4iUi97 | 5 | 1 | \section{Introduction}
Image completion, or image in-painting, is a fascinating and quickly growing area of research in machine learning. Given an image with some pixels removed, the image completion task is to correctly fill in those missing pixels. Therefore, the input to an image completion algorithm is an image wi... | train/arxiv |
BkiUcbPxK1Thg9qFcqWN | 5 | 1 |
\section{Simulation details}
The scattering function $S(\mathbf{k})$ (or structure factor) shown in the insets of Fig.~3\ of the main text is calculated using a fast Fourier transform $\hat{\rho}_\text{inst}(\mathbf{k})$ of the \emph{instantaneous} density profile of the corresponding snapshot binned on a two-dimens... | train/arxiv |
BkiUgDU5qhDC0uAdXjaL | 5 | 1 | \section{Introduction}
With the first direct observations of incident gravitational waves
(GWs) expected in only a few years, an
exciting new window on the Universe is about to be opened. But our
interpretation of these observations will be limited by our
understanding of how information about the GW sources is encode... | train/arxiv |
BkiUc_3xK4tBVicoCghe | 5 | 1 | \section{Introduction}
Video background estimation and moving object detection is a classic problem in computer vision. Among several existing approaches, one of the most prevalent ones is to solve it in a matrix decomposition framework~\cite{Bouwmans201431,Bouwmans2016}. Let $A\in \mathbb{R}^{m\times n'}$ be a matrix... | train/arxiv |
BkiUcVzxK4sA-9zR_xMe | 5 | 1 | \section{Introduction}\label{introduction}
\noindent One of the outstanding features of
two dimensional field theories is bosonization where a free massless fermionic field can be written as a bosonic filed.
This property
is rooted in the work of Jordan and Wigner \cite{jordan} where it was shown that the fermionic cr... | train/arxiv |
BkiUbWU25YjgKLaE8Iga | 5 | 1 | \section{Introduction}
Many soft quantities in QCD can be successfully described using the ideas of Regge theory, in which scattering is
dominated not by the exchange of single particles but rather by infinite towers of resonances whose mass squared and spin are
linearly related as $J= \alpha(0) + \alpha' M^2$. This... | train/arxiv |
BkiUeLo4ukPiEV8g6c2S | 5 | 1 | \section*{To do}
\section{Introduction and main results}
\subsection{Loewner energy and two minimization questions}
Consider a simple curve $\gamma = \gamma[0,T]$ in the upper half plane $\mathbb{H}$ starting from zero. For each $0 < t \leq T$, $\mathbb{H} {\backslash} \gamma[0,t]$ is simply connected, and we can... | train/arxiv |
BkiUc9w241xiD5zZ-jOY | 5 | 1 | \section{Introduction}
In the current age of internet, online social media sites have become available to all people, and people tend to post their personal experiences, current events, local and global news. For this reason, the daily usages of social media are growing up and making a large dataset that becomes an imp... | train/arxiv |
BkiUd585qYVBaeua0THc | 4 | 0.8 | \section{Introduction}
Hilbert schemes of points have a rich literature in algebraic geometry, commutative algebra, combinatorics,
representation theory, and approximation theory. Various aspects of them have been studied in many contexts.
In this paper we study the local equations and the singularities of $\text{Hilb}... | train/arxiv |
BkiUdEw5qYVBWXyirj3D | 4 | 0.8 | \section{Appendices}
\textbf{Notation 1:} $\lambda=(\lambda_1,\lambda_2,\lambda_3)$ is the barycentric coordinates relative to the vertices $v_1$, $v_2$ and $v_3$, $\nabla_i = \nabla (\lambda_i), \forall i$, and $\phi_p$ is the basis function which correspond to the degree of freedom $p$. We pose (i,j,k) an arbitrary p... | train/arxiv |
BkiUe0W6NNjgB1scZ_kD | 5 | 1 | \chapter{Introduction and Summary}
A manifestly background independent field theory of strings should define the
conceptual framework for string theory and should allow the
precise definition and explicit computation of nonperturbative
effects. The present version of quantum closed string field theory,
developed expl... | train/arxiv |
BkiUdso5qg5A51O-MCS2 | 5 | 1 | \section{Introduction}
The nearly simultaneous detection of
gravitational waves GW170817
and the $\gamma$-ray burst GRB 170817A~\cite{TheLIGOScientific:2017qsa,%
Monitor:2017mdv,GBM:2017lvd}
places a very tight constraint on the
speed of gravitational waves, $c_{\rm GW}$.
The deviation of $c_{\rm GW}$ from the speed o... | train/arxiv |
BkiUbgI4uzlgqIdPi95u | 5 | 1 | \section{Introduction}
In non-relativistic topological matter, effectively quasi-relativistic description of low-energy quasiparticles with linear spectrum phenomena may emerge \cite{Volovik2003, Horava05}. In particular, in three spatial dimensions at a generic (two-fold) degenerate fermion band crossing at momentum ... | train/arxiv |
BkiUdSc5qsBC7daIe28x | 5 | 1 | \section{Introduction}
\label{sec:intro}
Omnidirectional (360$^\circ$) video content recently got very popular in the media industry, because it
allows the viewer to experience the content in an immersive and interactive way.
A critical factor for the long term success of 360$^\circ$ video content is the availability ... | train/arxiv |
BkiUdSfxK6Ot9WA5hl3r | 5 | 1 | \section{Thermal correlators in 2d CFTs}
\label{appendix2dthermal}
\subsection{Modes in a BTZ black hole}
In our discussion above we frequently referred to modes in the black
hole background. In this appendix, we explore these modes in the
background of a BTZ black hole. This will allow us to check several
claims inclu... | train/arxiv |
BkiUdU45qoaAwdii6Tun | 5 | 1 | \section{Introduction}
Fractional calculus has turned out to be a powerful analytical tool in various disciplines: It has been recognized that
especially in more recently emerging fields dealing with complex, chaotic, turbulent, critical, fractal and anomalous transport phenomena, problems can appropriately be describ... | train/arxiv |
BkiUdhXxaKgTz-oDsOPy | 5 | 1 |
\section{Conclusion}
We present a compositional 3D generative model of objects, where different semantically meaningful parts of objects are represented as independent 3D models.
Different parts can be independently sampled to create photorealistic images.
The disentanglement of a global model into parts is achieved... | train/arxiv |
BkiUdbM4uzlhdExj6yBe | 5 | 1 | \section{Introduction}\label{intro}
The physical properties, such as energy spectra, susceptibility,
etc., of magnetic clusters at the nanoscale depend on their size,
shape and the presence of different bondings among the
constituent chemical elements and thus the distribution of ligands
between the magnetic ions (for... | train/arxiv |
BkiUcbDxK6nrxjHzAxs6 | 5 | 1 | \section{Introduction}
We consider continuous dynamical systems with a state $u(\mathbf{x}, t) \in \mathbb{R}$ that evolves over time $t \in \mathbb{R}_+$ and spatial locations $\mathbf{x} \in \Omega \subset \mathbb{R}^D$ of a bounded domain $\Omega$. We assume the system is governed by an unknown partial differential ... | train/arxiv |
BkiUd1M4ubng80eumZg5 | 5 | 1 | \section{Introduction}
\label{section: introduction}
In the U.S., if federal zero-emission vehicle sales targets are met, there could be more than 48 million electric vehicles (EVs) on the road in 2030 \cite{mckinsey}. In order to provide charge to this growing EV population, it is estimated that over 1.2 million publ... | train/arxiv |
BkiUfvA25V5jdpIrvcEs | 5 | 1 | \section{Introduction}
A graph $G$ is $q$-Ramsey for $H$, denoted by $G\to (H)_q$, if every $q$-colouring of the edges of $G$ contains a monochromatic copy of $H$. Many interesting questions arise when we consider those graphs $G$ which are minimal with respect to $G\to (H)_q$. A graph $G$ is $q$-Ramsey-minimal for $H$... | train/arxiv |
BkiUd645qoYA4o7sDXOg | 5 | 1 | \section{Introduction}
\label{sec:introduction}
Most computer vision systems cannot take advantage of the abundance of Internet video content as training data. This is because current algorithms typically learn under strong supervision and annotating video content is expensive. Our goal is to remove the need for expen... | train/arxiv |
BkiUdSc5qX_BukO5hByn | 5 | 1 | \section{Introduction}
In this paper, we study the Cauchy problem for the Korteweg-de
Vries-Burgers (KdV-B) equation with fractional dissipation
\begin{eqnarray}\label{eq:kdvb}
u_t+u_{xxx}+\epsilon |\partial_x|^{2\alpha}u+(u^2)_x=0, \ \
u(0)=\phi,
\end{eqnarray}
where $0<\epsilon, \alpha \leq 1$, $u$ is a real-valued f... | train/arxiv |
BkiUbo7xK6nrxpQczzR0 | 1 | 0.2 | \section{#1}}
\renewcommand{\theequation}{\thesection.\arabic{equation}}
\newcommand{\app}[1]{\setcounter{section}{0}
\setcounter{equation}{0} \renewcommand{\thesection}{\Alph{section}}
\section{#1}}
\newcommand{\begin{equation}}{\begin{equation}}
\newcommand{\begin{eqnarray}}{\begin{eqnarray}}
\newcommand{\end{equa... | train/arxiv |
BkiUeEXxK0-nUKDhrHUY | 5 | 1 |
\section{Introduction}
\label{sec:intro}
True muonium is the as-yet undiscovered $(\ensuremath{\mu^+\mu^-})$ bound state. Its
spectrum, with lifetimes in the range of ps to
ns~\cite{Brodsky:2009gx}, is well defined since the 2.2 $\mu$s
weak-decay lifetime of the muon is much longer. The levels and
transitions of ... | train/arxiv |
BkiUeZY4dbggz-0v0PdP | 4 | 0.8 | \section{INTRODUCTION}
The finite element method has achieved great success in many fields of science and technology since it was
first suggested in elasticity in the fifth decade of $ 20^{th}$ century.Today it has become a powerful tool for
solving partial differential equations \cite{brenner2008mathematical,ciarlet... | train/arxiv |
BkiUdULxK7IDM3wqf1-n | 5 | 1 | \section{Introduction}
Granular materials, including natural sand, silica spheres, and glass beads, have garnered increasing interest within the geophysics and geotechnical communities, as they enable the physical and geological modeling of various complex structures \cite{Sherlock,Krawczyk}. This is due to the wide ra... | train/arxiv |
BkiUa2PxK6-gDz87NwgJ | 5 | 1 | \section{Do we expect IGM to be turbulent?}
A fluid of viscosity $\nu$ becomes turbulent when the rate of viscous dissipation, which is $\sim \nu/L^2$ at the energy injection scale $L$, is much smaller than the energy transfer rate $\sim V_L/L$, where $V_L$ is the velocity dispersion at the scale $L$. The ratio of th... | train/arxiv |
BkiUc6s5qYVBRaD6ONqC | 5 | 1 | \section{Introduction}
Recurrence relations of the form
\[
P_{n+1}(z) = \sigma_{n+1} (z -v_{n+1}) P_{n}(z) - u_{n+1}(z-a_{n})(z-b_{n}) P_{n-1}(z), \quad n \geq 1,
\]
with initial conditions $P_0(z) = 1$ and $P_1(z) = \sigma_1(z - v_1)$, have been studied by Ismail and Masson \cite{Ismail-Masson-JAT1995}. In \c... | train/arxiv |
BkiUdl7xaJJQnMsb0DKf | 5 | 1 | \section{Introduction}
Since it was suggested by 't~Hooft \cite{tH76} and Mandelstam \cite{Ma76} that monopole condensation in nonabelian gauge theories may be an explanation for the confinement mechanism, many studies have been devoted to the magnetic properties of these theories \cite{KT98,Co98,En98,DGT82,BLS81}.
... | train/arxiv |
BkiUeGY5qX_Bxod3mRkY | 4 | 0.8 | \section{Introduction} \label{sec:intro}
The incompressible Navier-Stokes equations on the Euclidean space $\mathbb{R}^d$,
with $d \in \mathbb{Z}^+$, are the key governing equations of viscous fluid flows
with a divergence-free fluid velocity vector field occupying all the
$\mathbb{R}^d$ space, which are given by
\... | train/arxiv |
BkiUauzxaJJQnMsbx-Cy | 5 | 1 | \subsection*{Introduction}
\label{intro}
A peak in Einstein's endeavor to extract as much information as possible about
the nature of radiation from the Planck distribution is his paper
``On the Quantum Theory of Radiation'' of 1916 \cite{Ein}.\footnote{The paper was first published in: Physikalische Gesellschaft Z\"{u... | train/arxiv |
BkiUdgA4uBhizKycjBnd | 5 | 1 | \section{Multi-armed Bandits}\label{sec:multi-armed-bandit}
The stochastic $K$-armed bandit problem~\citep{bellman1956problem,lattimore2018bandit} involves a learner sequentially choosing among $K$ different arms. At time $t$, the algorithm \emph{draws an arm} $a_t \in \Act$ and the arms \emph{generate outcomes} $\bx... | train/arxiv |
BkiUdwQ5qg5A59Bh1au4 | 5 | 1 | \section{Introduction} Martingale inequalities have played an important role in applications of probability to problems in analysis. Many of these applications rest on the celebrated Burkholder-Davis-Gundy inequalities (commonly referred to these days as the {\it ``BDG inequalities"}) which compare the $L^p$-norms ... | train/arxiv |
BkiUbgPxK0wg09lKAujH | 5 | 1 | \section{Introduction}
In today's financial world, most markets rely on a {\em limit order
book} (LOB) to match buyers and sellers. High frequency traders and
market makers rely on real-time access to the LOB in order to
implement their trading algorithms.
Researchers, traders and regulators are interested in the d... | train/arxiv |
BkiUduzxaKPQokFdcGJE | 5 | 1 | \section{Introduction}
An important problem in analytic number theory is to understand the
distribution of values of $L$-functions on the central line $\Re(s) =
\frac{1}{2}$. Selberg \cite{selberg_zeta} famously proved that as $t$ varies in
large intervals $t \in [T, 2T]$, the real and imaginary parts of the
logarith... | train/arxiv |
BkiUbcs241xg-Hfkr7vp | 5 | 1 | \section{Introduction}
\label{sec:intro}
In his 1969 paper, James Miller envisioned a world where technology enables people to vote from their homes~\citep{miller1969program}. With the rise of participatory democracies, the formation of many overlapping online communities, and the increasing use of polls by companies a... | train/arxiv |
BkiUejLxK7kjXIK5s2t2 | 5 | 1 | \section{Introduction to Cold Atom Dissipative Transport}
Cold atom samples differ from electronic systems in
significant ways that offer new opportunities to investigate
transport phenomena \cite{Cheng2,Stadler2012,Brantut2012,Brantut2013,Stoof}. Cold atom systems are highly
versatile: many of them have tunable inter... | train/arxiv |
BkiUd2A5qoTBG_qrq9mA | 5 | 1 | \section{Introduction}
Quantum field theory has perplexed physicists
with the appearance of infinities on radiative corrections
of physical quantities,
but the problem has offered useful hints for a fundamental theory.
In well-behaved theories such as the quantum electrodynamics (QED)
and the standard model (SM),
inf... | train/arxiv |
BkiUbR7xK6EuNBRhGa5L | 5 | 1 | \section{Technical Details for Section \ref{sec:complexity}} \label{sec:complexity_appendix}
\subsection{Rigidity-from-system is uncomputable: Technical details}
Here we provide an illustration in Figure~\ref{fig:turing_machine} of an embedding of our construction at three different points.
\begin{figure}[htp]
\cent... | train/arxiv |
BkiUffo5qhDCOpZYMR0g | 5 | 1 | \section{\label{sec:level1}Introduction
We needed a versatile and robust system for measuring magnetic susceptibilities over a wide temperature range ({\color{black} 1.7 - 100 K) with high sensitivity.} A number of tunnel diode oscillators have been built for limited purposes, either with high sensitivity (better than ... | train/arxiv |
BkiUfoPxK7IDP-3_8HUb | 5 | 1 | \section{Introduction}
The possibility of a quantum speedup for finding the solution of classical optimization problems is tantalizing, as a quantum advantage for this class of problems would provide a wealth of new applications for quantum computing. The goal of many optimization problems can be formulated as finding ... | train/arxiv |
BkiUdC_xK7kjXIK5rbyY | 5 | 1 | \section{Introduction}
Automatic speech recognition (ASR) systems are being increasingly deployed in real-life situations (e.g. home assistants like Amazon Echo, Google Home, etc.), where the acoustic environment may present distortions such as background noise and reverberation. To tackle these problems, the field o... | train/arxiv |
BkiUcQQ5jDKDx8o5rdGz | 5 | 1 | \section{Introduction}
The study of the viscosity of strongly interacting quantum fluids has brought together very different areas of
physics -- black holes and string theory, quark-gluon plasmas, quantum fluids and cold atoms -- which, at first sight,
appear to have little in common~\cite{Son-review,Schafer09}.
This... | train/arxiv |
BkiUdUs5qoTBAjokpkWh | 4 | 0.8 | \subsection*{\underline{#1}\nopunct}}
\newcommand\repart[1]{\mathrm{Re}\left[ #1 \right]}
\newcommand\impart[1]{\mathrm{Im}\left[ #1 \right]}
\newcommand\syl[1]{\| #1 \|_{\mathrm{syl}}}
\newcommand\stl[1]{\| #1 \|_{\mathrm{*}}}
\newcommand\der[2]{#1^{(#2)}}
\newcommand\ba{\begin{align*}}
\newcommand\ea{\end{align*}}
\n... | train/arxiv |
BkiUdQ05qsFAf3AIARFR | 5 | 1 | \section{introduction}
Jiao and co-workers recently discovered
superconductivity with a critical temperature $T_c$=4.6 K
in Ta$_4$Pd$_3$Te$_{16}$. \cite{jiao}
These authors concluded that there is evidence for strong electron-electron
interactions in this compound based on an analysis of the specific heat.
Moreover,
P... | train/arxiv |
BkiUdiQ4uzlgqFq2Sl2b | 5 | 1 | \section*{Reviewer \thereviewer}}
\newenvironment{point}
{\refstepcounter{point} \bigskip \noindent {\textbf{Reviewer~Point~\thepoint} } ---\ }
{\par }
\newcommand{\shortpoint}[1]{\refstepcounter{point} \bigskip \noindent
{\textbf{Reviewer~Point~\thepoint} } -#1\par }
\newenvironment{response}
{\medskip \noindent... | train/arxiv |
BkiUfj84uzliDEmfhlih | 5 | 1 | \section{Introduction}
When some disorders are introduced in Mott insulators or charge-ordered insulators,
disorder-induced electronic states are often observed within the band gaps and are
responsible for the hopping transport in the insulating phase.
\cite{Nakatsuji,Husmann,Coey,Yoshida}
Although it is very importa... | train/arxiv |
BkiUa0zxK6-gDz87NvLv | 4 | 0.8 |
\section{Moore}
Moore (Muon Object Oriented Reconstruction) is a track reconstruction
package for the Muon Spectrometer.
A detailed description of Moore is available elsewhere~\cite{Moore}.
Moore takes as input collections of digits or clusters inside the
Muon Spectrometer (CSC, MDT, RPC, TGC) and outputs
fitte... | train/arxiv |
BkiUaqXxK0zjCsHeYYys | 5 | 1 | \section{Introduction}
\label{intro}
The phase diagram of strongly interacting matter at finite temperature and
chemical potential has been extensively studied along the past decades. In
the region of very high temperatures and low densities, it is well known
that Quantum Chromodynamics (QCD) predicts the formation of... | train/arxiv |
BkiUejHxK6-gDyrT-mTO | 5 | 1 | \section{Introduction}\label{sec:introduction}
A \emph{tree} on a finite set $X$ is a connected acyclic graph with vertex set
$X$. A \emph{rooted tree} is a tree with a distinguished vertex called a
\emph{root}. It is well-known that the number of rooted trees on
$[n]=\{1,2,\dots,n\}$ is $n^{n-1}$, see \cite[5.3.2~Pro... | train/arxiv |
BkiUeYfxK7Dgs_cY6bIu | 4 | 0.8 | \section{Introduction}
Kerov, Kirillov, and Reshetikhin introduced a combinatorial object, called a rigged configuration, through Bethe Ansatz analysis of the isotropic Heisenberg spin chain \cite{KKR86}.
They constructed a bijection between rigged configurations and the semistandard Young tableaux \cite{KKR86,KR88}, ... | train/arxiv |
BkiUbaA5ixsDL_dM-xgW | 5 | 1 | \section{Introduction}
Pure spinor superfield theory \cite{Cederwall:2013vba} provides a
solution to the long-standing problem of covariant quantisation of (Brink--Schwarz) superparticles
\cite{Brink:1981nb,Casalbuoni:1976tz}
or (Green--Schwarz) superstrings
\cite{Green:1983wt} with manifest supersymmetry, or roughl... | train/arxiv |
BkiUcQ_xK02iP15vfcy6 | 5 | 1 | \section{Introduction}
In \cite{KS} B. Khanedani and T. Suwa
introduced an index for singular holomorphic foliations on complex compact surfaces called the \textit{Variational index}.
In \cite{LS} D. Lehmann and T. Suwa generalized the variational index for higher dimensional holomorphic foliations. In particular... | train/arxiv |
BkiUdtY4eIOjR8afhCdh | 5 | 1 | \section{Introduction}
Quantized neural networks (QNNs) are neural networks that represent their weights and compute their activations using low-bit integer variables. QNNs significantly improve the latency and computational efficiency of inferencing the network for two reasons.
First, the reduced size of the weights ... | train/arxiv |
BkiUfBPxK7IAG1E_0rdp | 5 | 1 | \section{Emergence of Mass}
\label{intro}
The natural energy-scale for strong interactions is characterised by the proton mass:
\begin{equation}
m_p \approx 1\,{\rm GeV} \approx 2000\,m_e\,,
\end{equation}
where $m_e$ is the mass of the electron. In the Standard Model, $m_e$ is rightly attributed to the Higgs boson; b... | train/arxiv |
BkiUbAE241xg-EsBtVTO | 5 | 1 | \section{Introduction}
Heavy electron materials exhibit a number of interesting correlated electron phenomena, including unusual broken symmetry ground states, quantum criticality and non-Fermi liquid behavior, which arise from the interactions between a lattice of nearly-localized 4f electrons and itinerant conducti... | train/arxiv |
BkiUawbxK6nrxrSHdJ9m | 5 | 1 | \section{Introduction}
Jigsaw puzzles are a popular form of entertainment, first produced around 1760 by John Spilsbury, a Londonian engraver and mapmaker. Given $n$ different non-overlapping tiles of an image, the objective is to reconstruct the original image, taking advantage of both the shape and chromatic informa... | train/arxiv |
BkiUe-s5qhLA14d4gJ_h | 5 | 1 | \section*{\hfil #1\hfil}}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{cite,setspace}
\newcommand{\Ex}{ \mathbb{E} }
\begin{document}
\title{\vspace{-0.5cm}\LARGE Matched Multiuser Gaussian Source-Channel \\Communications via Uncoded Schemes... | train/arxiv |
BkiUblQ5qsFAfsI7Xtuo | 4 | 0.8 | \section{Introduction}
First, let us recall some facts about a $G$-structures and their
prolongations. There are two definitions of $G$--structures. The first reads that a $G$--structure is
a principal bundle $ P \rightarrow M$ with structure group $G$
together with a soldering form $\theta.$ The second reads that it ... | train/arxiv |
BkiUdI85qYVBWXyiroQP | 5 | 1 | \section{Introduction}
\vspace{5mm}
Let $(\Omega,$ ${\rm F},$ ${\sf P})$ be a complete probability space, let
$\{{\rm F}_t, t\in[0,T]\}$ be a nondecreasing right-continous
family of $\sigma$-subfields of ${\rm F},$
and let ${\bf w}_t$ be a standard $m$-dimensional Wiener
stochastic process, which is
${\rm F}_t$-me... | train/arxiv |
BkiUd545qdmB642cwHh4 | 4 | 0.8 | \section{Introduction}
\PARstart{C}{ooperative} communication \cite{1} has recently
attracted much attention due to it can achieve a larger rate
region, compared with traditional networks. Many cooperative
protocols have been proposed in the literature. These protocols
are usually classified into three categories: deco... | train/arxiv |
BkiUd2c5qU2ApzQrUB-w | 5 | 1 | \section{Introduction}
\label{sec1}
Content-based image retrieval (CBIR) is a core research area in medical image analysis, with numerous studies across many different image modalities \citep{dermaXAI, 9296383, HAQ2021101847}. CBIR supports clinicians in retrieving relevant images from a large database compared to a qu... | train/arxiv |
BkiUd1vxaL3SufhMoqE6 | 5 | 1 | \section{Introduction}
Chiral perturbation theory(ChPT) is a useful method to solve low-energy mesons interactions.
A significant problem is to establish the chiral Lagrangian (CL).
Until now, the monomials of CL have been obtained to the $O(p^6)$ order \cite{weinberg,GS1,GS2,p61,p62,p6p,p6a1,p6a2,tensor1,U3,ourf},
... | train/arxiv |
BkiUdXU5qsNCPgVW-0sE | 4 | 0.8 | \section{Introduction}
\subsection{Review of sums of two squares in arithmetic progressions}
Let $S$ be the set of positive integers expressible as a sum of two perfect squares. We denote by $\mathbf{1}_{S}$ the indicator function of $S$. It is multiplicative and for a prime $p$ we have \begin{equation}\label{eq:char... | train/arxiv |
BkiUbQo4uzqh_Fxek04J | 5 | 1 |
\section{Introduction}\label{intro}
Given a graph $G$ with a weight $J_{ij}$ for each edge $(i,j)$, and variables, or
\emph{spins}, $\mathbf{S}=\{S_i=\pm1|i\in V\}$ for each vertex, we can consider the energy
function defined by
\[H=H(\mathbf{S})=-\sum_{\text{edges}~(i,j)}J_{ij}S_i S_j.\]
Here the edges are consid... | train/arxiv |
BkiUeRrxK6-gDz87Q9kI | 5 | 1 | \section{\label{sec:motivationtorus}Motivation: Open-Orbit Vortices}
Schwarz's early simulations \cite{schwarz85} apparently produced sustained
homogeneous turbulence. However, Buttke \cite{buttkecomment87} could only
reproduce the results by using deliberately inadequate spatial resolution.
Buttke subsequently argued... | train/arxiv |
BkiUeJHxK1UJ-2RwXGTM | 5 | 1 | \section{Introduction}
It has been argued in a very recent paper \cite{GGPR06} that
purely bosonic solutions preserving $31$ out of $32$
supersymmetries, hence describing {\it BPS preon} states
\cite{BPS01}, do not exist for IIB supergravity. Using the moving
$G$-frame method of \cite{BPS03} (Sec. 1.2), we rederive t... | train/arxiv |
BkiUdCc5qYVBSIiKs2TE | 5 | 1 | \section{Introduction and background}\label{intro}
\noindent Let $(\ensuremath{\mathbb{X}}, \Vert\cdot\Vert)$ be an infinite-dimensional Banach space, and let $\mathcal{B}=(\ensuremath{\mathbf{e}}_n)_{n=1}^\infty$ be a semi-normalized basis for $\ensuremath{\mathbb{X}}$ with biorthogonal functionals
$(\ensuremath{\ma... | train/arxiv |
BkiUbQ825V5ha7jY7vFR | 5 | 1 | \section{Introduction}
\label{sec:intro}
Generalized linear multilevel models (GLMMs), also known as hierarchical or mixed models, are a powerful and more flexible extension to the widely popular class of Generalized linear models (GLMs)~\cite{mcculloch2005generalized,gelman2006data}.
The key distinction between the t... | train/arxiv |
BkiUdOQ5qoYAy-NzTCB6 | 5 | 1 | \section*{Introduction}
We start by recalling the \emph{local Langlands correspondence for $\GL_n$} over non-archimedean local fields. Let $F$ be a nonarchimedean local field, write $\ka$ for its residue field, and fix a prime number $\ell\neq\pchar\ka$. The local Langlands correspondence for $\GL_n$ over $F$ posits a ... | train/arxiv |
BkiUdYLxaKPQounYEW-G | 5 | 1 | \section{Introduction} {\label{section_introduction}}
Hydrophobic force causes attraction between non-polar solutes in liquid water and is known to be an important driving force in micellar aggregation, cell membrane formation, large protein structures \citep{BallChemRev2008,*PrivalovAdvProtChem1988,*Tanford1997}. A... | train/arxiv |
BkiUdeE5qhLBCSMaNcxD | 5 | 1 | \section{Introduction}
\label{sec:introduction}
A special class of finite-dimensional modules of the derived subalgebra of the Drinfel'd--Jimbo quantum group $U_q'(\asl_n)$ called Kirillov--Reshetikhin (KR) modules have received significant attention over the past 20 years. KR modules have many remarkable properties a... | train/arxiv |
BkiUaWbxK3YB9ohkJdFH | 5 | 1 | \section{Introduction}
Wall slip is a widespread phenomenon in the flow of various liquids. In Newtonian liquids, interest in slip has revived due to its relevance for flow in nano-porous media, microfluidic devices and along superhydrophobic surfaces [\cite{Barrat1999, Zhu2001, BocquetSoftMat07_slip, NetoRepProPhys_N... | train/arxiv |
BkiUdXE4c3aisLf0PvQi | 5 | 1 | \section{Introduction}
Blazars dominate the scene of extragalactic gamma ray astronomy as space borne
missions and \v{C}erenkov atmospheric telescopes have shown.
BL Lac objects ( BL Lacs or BLLs)
are a main sub-class of \textit{blazars} that by definition exhibit featureless
spectra or very weak lines, most probably... | train/arxiv |
BkiUeKXxaJiQn7ar4fvF | 5 | 1 | \section{Introduction}
\begin{figure*}
\centering
\subfigure[ \label{fig:snapshot_add} ]{ \includegraphics[scale=0.3]{IL_addition} }
\subfigure[ \label{fig:snapshot_sub} ]{ \includegraphics[scale=0.3]{IL_substitution} }
\caption{Snapshots from the simulation showing (a)~the \emph{addition} of IL to the
... | train/arxiv |
BkiUdso5qWTBLnE2Dard | 5 | 1 |
\chapter{ \sffamily{{\bf T}he Standard Model and beyond...}}\label{SM}
\section{{\bf T}he Standard Model}\label{SM-intro}
The quest for explaining diverse physical phenomena with a single ``supreme''
theory is perhaps deeply embedded in the human mind. The journey was started
long ago with {\it{Michael Faraday}} a... | train/arxiv |
BkiUc804eIXhtfm3O4LC | 4 | 0.8 | \section{Introduction}
The Poisson problem with mixed Dirichlet-Neumann boundary conditions deals with conductivity, heat transfer, metallurgical melting, wave phenomena, elasticity and electrostatics in mathematical physics and engineering. The detailed applications can be found in \cite{Dauge}, \cite{Fabrikant}, \ci... | train/arxiv |
BkiUbsbxK0iCl4YJmZLh | 5 | 1 | \section*{Introduction}
To fix ideas let us consider a hypersurface $f$ inside a polynomial ring $R = \mathbb{F}_p[x_1, \ldots, x_n]$. In order to study the singularities of $f$ one may consider the test ideal filtration $\tau(R, f^\lambda)_{\lambda \geq 0}$ which is a decreasing $\mathbb{Q}$-indexed right-continuous f... | train/arxiv |
BkiUbg85qsFAfmeJo12V | 5 | 1 | \section{Introduction}
Because the neutral ($a=3,8$) members of the
$SU(3)_F$ octet of vector currents,
$J^a_\mu = \bar{q}\gamma_\mu {\frac{\lambda^a}{2}}q$
(with $\lambda^a$ the usual Gell-Mann matrices),
couple to fermions in the Standard Model, it is possible
to use experimental data on the spectral functions
assoc... | train/arxiv |
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