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3655822d5d2e022f22ca2c790ab64bb902bfd217 |
\section{Introduction}\label{sec:intro}
A major challenge towards self-organizing networks (SON) is the joint
optimization of multiple SON use cases by
coordinately handling multiple configuration parameters. Widely
studied SON use cases include coverage and capacity optimization
(CCO), mobility load b... | 2023-04-23T08:17:26.599Z | 2016-07-19T02:04:46.000Z | redpajama/arxiv | arxiv_0000 | 17 | 6,891 |
61decaa1f993790b6b05ece2d83435830a9a74c1 | \section{Introduction}
Level design is a core feature of what defines a video game. When constructed correctly, it is a main determinant of player experience. From the designer's perspective, level design can be either a tedious, but necessary step in the game's development or a creatively freeing process - sometimes ... | 2023-04-23T08:17:28.014Z | 2022-03-07T02:05:04.000Z | redpajama/arxiv | arxiv_0000 | 61 | 10,632 |
28aefb059d9f6613e5ff09536977455486e365d4 | \section{Introduction}
\label{sec:intro}
Robots supporting people in their daily activities at home or at the workplace need to accurately and robustly perceive objects, such as containers, and their physical properties, for example when they are manipulated by a person prior to a human-to-robot handover~\cite{Sanchez... | 2023-04-23T08:17:28.124Z | 2022-03-07T02:01:33.000Z | redpajama/arxiv | arxiv_0000 | 66 | 5,570 |
30a0701b2d7f2d3f82acdac04bc19081a3cb2f11 | \section{Introduction}\label{sec:intro}
Time-dependent manipulation of few and many-particle quantum systems is important across all implementations of quantum computing and simulation. In such processes, decoherence and undesired transitions reducing the state fidelity are relatively ubiquitous. One important example... | 2023-04-23T08:17:28.423Z | 2022-03-07T02:00:45.000Z | redpajama/arxiv | arxiv_0000 | 75 | 19,470 |
817c40acb6ae629307ae69a4b2a307daa30935a1 | \section{Introduction}
\label{sec_introduction}
The Epoch of Reionisation (EoR) marks the second major phase transition in the Universe. With the emergence of the first galaxies, ultraviolet (UV) radiation gradually ionises the neutral hydrogen (\HI) in the intergalactic medium (IGM) until the Universe is reionised by... | 2023-04-23T08:17:28.729Z | 2022-09-30T02:08:43.000Z | redpajama/arxiv | arxiv_0000 | 91 | 22,647 |
9e8386c8b2d8ef7fb38a3da43ade44dedad91b03 | \section*{Introduction}
Materials crystallizing in the perovskite structure attract attention in many fields due to their high tunability and the resulting, broad spectrum of physical and chemical properties \cite{hwang2017perovskites,zhu2014perovskite,ha2011adaptive}. Most applications of these materials rely on ... | 2023-04-23T08:17:29.351Z | 2020-12-17T02:13:51.000Z | redpajama/arxiv | arxiv_0000 | 110 | 2,798 |
e8ec9d76bc3ac42a3d8b950b7352da6828031d53 | \section{Introduction}
Replicating human movements and behaviour in humanoid robots is a formidable challenge with many exciting applications, ranging from health care (e.g. artificial limbs \cite{alshamsi2016}) to space exploration \cite{nasa2015}. Since the manual engineering of controllers for such tasks is extreme... | 2023-04-23T08:17:29.751Z | 2020-12-17T02:13:30.000Z | redpajama/arxiv | arxiv_0000 | 123 | 10,974 |
5f0da58d356fd1293ba86da9658e24c27197f3a4 | \section{Introduction}
The solar corona is filled with dynamic magnetized plasma, and hosts a variety of disturbances/waves that can be driven by all motions of the ubiquitous plasma. One of the most spectacular waves is the extreme ultraviolet (EUV) wave that appears as the traveling coronal disturbance from its erupt... | 2023-04-23T08:17:31.675Z | 2022-03-31T02:15:33.000Z | redpajama/arxiv | arxiv_0000 | 180 | 3,527 |
34bd255fa58d72b26374511e3125e38769a36db4 | \section{Introduction}
In recent years, many computer vision (CV) researchers make efforts to design CV-oriented vision Transformer to surpass the performance of the convolutional neural networks (CNNs).
Due to a high capability in modeling the long-range dependencies, vision Transformer achieves prominent results in d... | 2023-04-23T08:17:31.726Z | 2022-05-10T02:09:10.000Z | redpajama/arxiv | arxiv_0000 | 186 | 6,771 |
30bdbf208d83041979feab2b093cfc0761128235 | \section{Introduction}
Solid-state superconducting circuit studies the interaction between
artificial atoms and quantized electromagnetic fields in the microwave
frequency domain \cite{RevModPhys93/025005}. This architecture has emerged as one of the leading platforms for realizing quantum computation and simulati... | 2023-04-23T08:17:31.942Z | 2022-03-30T02:27:04.000Z | redpajama/arxiv | arxiv_0000 | 191 | 4,258 |
83b65634dee41cccbaf8cf7cba2627def4514f24 | \section{Introduction}
\label{sec:intro}
\begin{figure}[t]
\centering
{\includegraphics[width=1.0\linewidth]{intro_tight.pdf}}
\caption{
The comparisons of model outputs (logits) and Kullback–Leibler (KL) distance between two networks that are trained from scratch. Analysis is conducted on CIFAR100-LT da... | 2023-04-23T08:17:31.984Z | 2022-04-20T02:24:16.000Z | redpajama/arxiv | arxiv_0000 | 192 | 9,016 |
b04bb17d04d70eb60b20ababa140830c7f683ef6 | \section{Introduction}
The core inverse and the dual core inverse of a matrix were introduced in \cite{BT}. These generalized inverses have been studied by several authors,
in particular they have been extended to rings with involution (\hspace{-1pt}\cite{rdd}) and to Hilbert space operators (\hspace{-1pt}\cite{rdd... | 2023-04-23T08:17:32.570Z | 2017-06-08T02:00:13.000Z | redpajama/arxiv | arxiv_0000 | 208 | 11,473 |
6b7da8d213c63f87e7c528f98ae6ca659fa5b903 | \section{Introduction}
In the past decade, optical lattice clocks \cite{Ludlow2015,Katori2011} have made dramatic progress in accuracy and stability, surpassing their microwave counterparts to have the lowest fractional uncertainty of any frequency standard to date. Ensuring the continuation of this progress demands t... | 2023-04-23T08:17:32.994Z | 2017-06-08T02:01:36.000Z | redpajama/arxiv | arxiv_0000 | 223 | 3,410 |
cb5554107d12ad92507682ac24dd37b7199a5952 | \subsection{1. Introduction}
The applications of gamma-ray are ubiquitous in our daily life, such as container security initiative\cite{lun2008institutional}, gamma-knife surgery\cite{ganz2012gamma}, nuclear medical imaging\cite{eisen1999cdte} and food storage\cite{LADO2002433}. While in the vastness of the universe, p... | 2023-04-23T08:17:33.069Z | 2018-01-23T02:16:33.000Z | redpajama/arxiv | arxiv_0000 | 224 | 5,140 |
04e770e0a29d3a1324ffedae3420a4e611a9e048 | \section*{Abstract}
{\bf
We propose using smeared boundary states $e^{-\tau H}|\cal B\rangle$ as variational approximations to the ground state of a conformal field theory deformed by relevant bulk operators. This is motivated by recent studies of quantum quenches in CFTs and of the entanglement spectrum in massive th... | 2023-04-23T08:17:33.504Z | 2017-07-31T02:01:24.000Z | redpajama/arxiv | arxiv_0000 | 235 | 8,158 |
d508cd01fece8b0e844a623d5e046c90456224b6 | \section{\\Modelled EIG properties}
\label{App:ModelledEIG_Properties}
The SFH, dust attenuation and stellar mass of the EIGs were estimated by fitting a model to their UV-to-near-IR SEDs as described section \ref{sec:ResultsModel}.
Figure \ref{f:ResGalMC_1D} shows, for each of the modelled EIGs, the marginalized post... | 2023-04-23T08:17:33.867Z | 2017-06-08T02:00:20.000Z | redpajama/arxiv | arxiv_0000 | 253 | 39,800 |
47b692112543118f3e17b339d04f8e2fbc57f67e | \section{Introduction}
\vspace{-0.10cm}
\todo{Need motivating sentence.}
Chemical space is huge: it is estimated to contain over $10^{60}$ molecules.
Among these, fewer than 100 million compounds can be found in public
repositories or databases \cite{Reymond_2012}. This discrepancy between
\textit{known} compounds an... | 2023-04-23T08:17:34.125Z | 2017-06-07T02:08:02.000Z | redpajama/arxiv | arxiv_0000 | 264 | 7,649 |
9e05d95d384643aace7949d7cb3b66987fe82877 | \section{Introduction}
This paper is devoted to generalize the Thomas
projective parameter \cite{thomas1} and the Weyl projective tensor
\cite{weyl} as invariants of a mapping of an affine connection
space. These invariants are primary generalized in
\cite{vesicgeninv1} but it is obtained these invaria... | 2023-04-23T08:17:34.302Z | 2018-11-05T02:08:56.000Z | redpajama/arxiv | arxiv_0000 | 267 | 4,883 |
4b299eddc9319e349ec258276b79bcb74e69cf66 |
\section{Introduction}
State-of-the-art artificial neural networks (ANNs) achieve impressive results in a variety of machine intelligence tasks \citep{sejnowski2020unreasonable}. However, they largely rely on mechanisms that diverge from the original inspiration from biological neural networks \citep{bengio2015toward... | 2023-04-23T08:17:35.089Z | 2021-10-07T02:25:21.000Z | redpajama/arxiv | arxiv_0000 | 289 | 6,143 |
840c3b1fa82023222266a0ccfe1e3ec77b8865a3 | \section{Introduction}
The paradigm of learning universal large-scale Transformer-based models has been recently transferred to speech from natural language processing~\cite{9585401,baevski2020wav2vec,chung2021w2v}.
Due to the high complexity of speech data, the preferred way of downstream task adaptation for such mo... | 2023-04-23T08:17:36.444Z | 2022-12-05T02:13:10.000Z | redpajama/arxiv | arxiv_0000 | 331 | 3,360 |
8c93e9d3177ff505b3d2e0aed76ab5d7c8107584 | \section{Introduction}
In argumentation theory, an enthymeme is defined as an incomplete argument found in discourse, where some components are explicit, but other propositions are left implicit and need to be \emph{filled in} as premises or conclusions to fully understand what the argument is \cite{waltonReed2005}. I... | 2023-04-23T08:17:37.550Z | 2021-09-14T02:16:39.000Z | redpajama/arxiv | arxiv_0000 | 355 | 3,770 |
d7b02c4e9e8d145d0cee1786ee62aa507c8c6831 |
\section{Equivalence between definitions of precategories}
\label{sec:precat-equivalent-definitions}
\noindent We prove the equivalence between the equational and the enriched
definition of precategories:%
\ifx\precatequivalentdefsprop\undefined
\begin{prop}
There is an equivalence of categories between $\nPCat{n+1... | 2023-04-23T08:17:38.071Z | 2021-09-14T02:17:02.000Z | redpajama/arxiv | arxiv_0000 | 370 | 33,742 |
7b80d579e5c5d3d6e05ab4db27a57e1d22e366cc | \section{Introduction}
One key challenge in developing autonomous mobile robots is the SLAM (Simultaneous Localization And Mapping) problem \cite{Thrun2008}.
Graph-based solutions are often based on a static environment, which is unrealistic: objects move, seasons influence the appearance of the surroundings and -- de... | 2023-04-23T08:17:39.439Z | 2021-05-13T02:17:42.000Z | redpajama/arxiv | arxiv_0000 | 408 | 5,954 |
3823f2701aee64c9b41c11b55d58cc762afd81fc | \section{Introduction}
The cosmic microwave background (CMB) and type Ia supernovae observations suggests that, our universe is expanding with acceleration. We may explain this
cosmic acceleration of the universe by introducing a cosmological constant $(\Lambda)$ in the Einstein's Hilbert action with the equation o... | 2023-04-23T08:17:41.971Z | 2018-10-05T02:00:18.000Z | redpajama/arxiv | arxiv_0000 | 477 | 6,333 |
793cf3d16f0031c347b6ca625d608ed4903c8526 | \section{Introduction}
\label{sec:Intro}
Studies of globular cluster (GC) systems in galaxies over a vast mass range have revealed surprisingly simple scaling relations. Two of the most accessible properties of globular clusters are their metallicities and their masses. The metallicity is often derived from the colour... | 2023-04-23T08:17:42.357Z | 2019-03-22T01:01:44.000Z | redpajama/arxiv | arxiv_0000 | 485 | 10,569 |
aac14f4785409e9c7d21a8d39bfce9d87584b917 | \section{Introduction}
\label{sec:introduction}
The computation of visibility is a fundamental problem on terrains and
is at the core of many applications such as planning the placement of
communication towers or watchtowers, planning of buildings such that
they do not spoil anybody's view, finding routes on which ... | 2023-04-23T08:17:42.621Z | 2018-10-05T02:03:04.000Z | redpajama/arxiv | arxiv_0000 | 491 | 21,344 |
d63fad1eff7250e222f19135b00cb4aefefb0238 | \section{Introduction}\label{ch:intro}
Beyond the success of cryptocurrencies, blockchain has recently emerged as a technology platform that offers secure decentralized consistent transaction ledgers and has powered innovations across domains including financial systems, supply chains and health care.
Despite the high... | 2023-04-23T08:17:42.785Z | 2018-10-05T02:11:11.000Z | redpajama/arxiv | arxiv_0000 | 497 | 12,774 |
705901d989a0d348b82eb63540aae46963e90f12 | \section{Introduction}
Approximately 3.6 billion diagnostic radiological examinations, such as radiographs (x-rays), are performed globally every year \cite{report}. Chest radiographs are performed to evaluate the lungs, heart and thoracic viscera. They are crucial for diagnosing various lung disorders in all levels of... | 2023-04-23T08:17:42.846Z | 2018-10-05T02:09:05.000Z | redpajama/arxiv | arxiv_0000 | 500 | 3,519 |
06a9476d02eeae0d33c36d1d1d338212b048cb75 | \section{Introduction}
Over the last decade, the scattering approach \cite{Lambrecht2006,Rahi2009} to the Casimir effect~\cite{Casimir1948}
has allowed for the derivation of exact results
for a number of non-trivial geometries, including the ones most often
investigated experimentally:
the plane-sphere
\cite{Emi... | 2023-04-23T08:17:43.184Z | 2019-06-18T02:02:33.000Z | redpajama/arxiv | arxiv_0000 | 514 | 5,271 |
f577648064d227602adfa510c8901928abf39aaa | \section{Introduction}
\IEEEPARstart{S}{mart} Meters (SMs) are a cornerstone for the development of smart electrical grids. These devices are able to report power consumption measurements of a house to an utility provider at every hour or even at every few minutes. This feature generates a considerably amount of usefu... | 2023-04-23T08:17:43.517Z | 2019-06-18T02:03:07.000Z | redpajama/arxiv | arxiv_0000 | 529 | 6,820 |
b6a7ea2ce9f7c3d5e3048ee2cb471f3da8b3d60b | \subsection{\@startsection{subsection}{3}%
\z@{.4\linespacing\@plus.0\linespacing}{.1\linespacing}%
{\normalfont\bfseries}}
\def\subsubsection{\@startsection{subsubsection}{3}%
\z@{.4\linespacing\@plus.0\linespacing}{.1\linespacing}%
{\normalfont\bfseries}}
\makeatother
\makeatletter
\renewcommand{\paragraph... | 2023-04-23T08:17:44.063Z | 2019-06-17T02:14:26.000Z | redpajama/arxiv | arxiv_0000 | 556 | 56,779 |
dab6975a47f288c0d4f3d96115f323ce36f05ff5 | \subsubsection{\@startsection{subsubsection}{3}%
\z@{.5\linespacing\@plus.7\linespacing}{.1\linespacing}%
{\normalfont\itshape}}
\makeatother
\settopmatter{printacmref=false}
\renewcommand\footnotetextcopyrightpermission[1]{}
\usepackage{url}
\usepackage{listings}
\renewcommand{\ttdefault}{pcr}
\lstset{language=[... | 2023-04-23T08:17:44.352Z | 2019-06-19T02:08:25.000Z | redpajama/arxiv | arxiv_0000 | 568 | 12,323 |
91a9b27938c8fe1248b076024e172c61cabc21c4 | \section*{Introduction}
Seidel and Thomas \cite{ST01} introduced the notion of a \textit{spherical object} for the construction of autoequivalences of the bounded derived category of a smooth complex projective variety. Their approach was inspired by homological mirror symmetry; the symplectic analogue of the construct... | 2023-04-23T08:17:44.907Z | 2022-08-02T02:26:44.000Z | redpajama/arxiv | arxiv_0000 | 582 | 28,683 |
ddde828487e06c94856bf14a5f750a8a67da7c56 |
\section{Additional Implementation Details}\label{appendix:implementation}
We run our experiments using NVIDIA Tesla K80 GPUs. We use the Adam optimizer for model training and finetuning. All models train in under two hours, except for $\textcolor{DarkGreen}{\ensuremath{f_\text{orig}}}$ for NLI which trains in approxi... | 2023-04-23T08:17:45.189Z | 2020-10-13T02:27:33.000Z | redpajama/arxiv | arxiv_0000 | 590 | 9,751 |
9df7471b369d70728690384b1fa665d70df4a981 | \section*{Introduction}
The Maxwellian distribution is the most fundamental velocity distribution function, which holds in thermodynamic equilibrium states. However, it does not necessarily hold for non-equilibrium states. The ions in magnetized plasmas, which are usually far from equilibrium, are subject to other type... | 2023-04-23T08:17:45.854Z | 2021-10-22T02:39:35.000Z | redpajama/arxiv | arxiv_0000 | 605 | 4,008 |
cd711b0d5334077a95143d4a48ee741981fe8e6a |
\section{Introduction}
The ${\sf \overline{P}ANDA}$\hspace*{1ex} experiment at the future
\underline{F}acility for \underline{A}ntiproton and \underline{I}on \underline{R}esearch (FAIR),
at the GSI Helmholtz-Center, Darmstadt, Germany, is planned to start operation in 2018.
It will use a stored anti-proton beam in t... | 2023-04-23T08:17:46.827Z | 2013-12-02T02:15:35.000Z | redpajama/arxiv | arxiv_0000 | 623 | 4,616 |
1b6be7e2ad7c9b0e9e580dcd90f7177f70a320e9 | \section{Introduction}\label{sec1}
In the past decade considerable amount of attention have been drawn both towards the experimental and theoretical studies of the internal scattering
of atoms with a graphene layer and with various carbon nanostructures \cite{agra, fermani,friedrich}. Owing to the fact that these nanos... | 2023-04-23T08:17:47.005Z | 2013-12-02T02:14:39.000Z | redpajama/arxiv | arxiv_0000 | 629 | 6,366 |
838a0fda26e07db5359029e60c515cf36b0c1e94 | \section{Introduction}
\label{sec:intro}
Query complexity is a model of computation where quantum computers are provably better than classical computers. Some of the great breakthroughs of quantum algorithms have been conceived in this model (e.g., Grover's algorithm~\cite{Gro96}). Shor's factoring algorithm~\cite{... | 2023-04-23T08:17:47.351Z | 2014-01-07T02:14:35.000Z | redpajama/arxiv | arxiv_0000 | 638 | 8,823 |
e1b515b7397d32adff355016bca0273c89d274c4 | \section{Introduction}\label{intro}
In the past decade our picture of the Milky Way's stellar halo has dramatically
changed thanks to the advent of several observational surveys, which have
shown the richness and complexity of the substructure in the Galactic halo
\citep{ibat01,newb02,maj03,yan03,martin... | 2023-04-23T08:17:47.369Z | 2013-12-02T02:15:16.000Z | redpajama/arxiv | arxiv_0000 | 640 | 8,622 |
6b0b6821d7e388d6ac9335bb5dea16b629d7dd15 | \section{Introduction}
\subsection{Basic notations}
For any integer $n$, we note $[n]=\{1,\ldots,n\}$, $S_n$ the symmetric group on $n$ elements and $\lambda=(\lambda_1,\lambda_2,\ldots,\lambda_p) \vdash n$ an integer partition of $n$ with $\ell(\lambda)=p$ parts sorted in decreasing order.
If $n_i(\lambda)$ is the nu... | 2023-04-23T08:17:47.376Z | 2013-12-02T02:17:54.000Z | redpajama/arxiv | arxiv_0000 | 641 | 12,657 |
8f78e99ffb9d42b8c1bde13389c84d6a72dd5e8f | \section{Introduction}
Understanding most nontrivial {\em claim}s requires insights from various \emph{perspective} s.
Today, we make use of search engines or recommendation systems to retrieve information relevant to a claim, but this process carries multiple forms of \emph{bias}. In particular, they are optimized rel... | 2023-04-23T08:17:48.669Z | 2019-06-11T02:13:17.000Z | redpajama/arxiv | arxiv_0000 | 677 | 6,826 |
6efe8047be57df8ab18fde073ee1a2ef4734e39c | \section{Introduction}
Identifying statistically significant dependency between two or more sets of attributes serves as a key first check before further investigations are warranted. The space of possible attributes and their statistical dependencies is truly enormous, ranging from scalar values with relatively simple... | 2023-04-23T08:17:49.146Z | 2019-06-11T02:17:55.000Z | redpajama/arxiv | arxiv_0000 | 690 | 6,101 |
7d896f282605161d3de8c835ba2b604513039024 | \section{Introduction}\label{Sec:Intro}
Let $(\Om,\cF,\mathbb{P}} \def\sP{\mathscr{P}} \def\fP{\mathfrak{P}} \def\cP{{\cal P}} \def\BP{{\bm P}} \def\Bp{{\bm p})$ be a complete probability space on which a standard one-dimensional Brownian motion
$W=\{W(t);0\leqslant} \def\){\Big )} %\def\tc{\textcolor{red} ... | 2023-04-23T08:17:49.156Z | 2019-06-11T02:15:45.000Z | redpajama/arxiv | arxiv_0000 | 691 | 16,425 |
4ecaf12f1f8be0816ef57fec862f56b438e5292a | \section{Introduction}
A central problem in scientific computing involves estimating parameters that
describe mathematical models, such as initial conditions, boundary conditions,
or material parameters. This is often addressed by using experimental
measurements and a mathematical model to compute estimates of unknown... | 2023-04-23T08:17:50.255Z | 2020-04-02T02:18:47.000Z | redpajama/arxiv | arxiv_0000 | 724 | 14,922 |
d7f9920583658e9465643e8cd9c550db4c36e8d0 | \section{Introduction}
Reinforcement learning (RL) has had major success recently, in terms of mastering highly complex games like Go~\cite{silver2017mastering} and robotic control tasks. However, the ability of agents to transfer across tasks still remains an important problem to be solved towards artificial gene... | 2023-04-23T08:17:50.376Z | 2019-06-11T02:14:43.000Z | redpajama/arxiv | arxiv_0000 | 730 | 4,881 |
67b9e7cca9a4ab457c19f95b43950de2ea7235be | \section{Introduction}
Insight into the three-dimensional (3-D) structure of proteins is fundamentally important to help us understand their cellular functions,
their roles in disease mechanisms, and for structure based development of pharmaceuticals. Recent advancements in cryogenic electron microscopy (cryo-EM), incl... | 2023-04-23T08:17:51.241Z | 2020-09-04T02:07:21.000Z | redpajama/arxiv | arxiv_0000 | 757 | 4,172 |
db5942fca4b721fa2afcca5d96c371ddcd3cfe1d | \section{Introduction}
Two classfiles namely \file{cas-sc.cls} and \file{cas-dc.cls} were
written for typesetting articles submitted in journals of Elsevier's
Complex Article Service (CAS) workflow.
\subsection{Usage}
\begin{enumerate}
\item \file{cas-sc.cls} for single column journals.
\begin{vquote}
\documentclas... | 2023-04-23T08:17:51.461Z | 2021-06-22T02:28:41.000Z | redpajama/arxiv | arxiv_0000 | 766 | 9,874 |
f70904496f0ef588278a3a816024bc4f6c4b7693 | \section{Introduction}
\label{sec:introduction}
\vspace*{3mm}
{\it "The challenge [of quantum software engineering] is to rework and extend the whole of classical software engineering into the quantum domain so that programmers can manipulate quantum programs with the same ease and confidence that they manipulate toda... | 2023-04-23T08:17:52.839Z | 2020-07-15T02:18:03.000Z | redpajama/arxiv | arxiv_0000 | 800 | 24,360 |
a511857104509087b354933dd200037ae00d9e5f | \section{Introduction}
\label{sec:intro}
Hartree Fock (HF) theory \cite{Szabo-Ostland,MolElecStruc}
is so immensely useful in large part due to the rigorous
and convenient link it provides between a qualitatively
correct many-electron description and an affordable
and more
intuitive one-electron equation.
The link it ... | 2023-04-23T08:17:53.179Z | 2020-10-08T02:04:38.000Z | redpajama/arxiv | arxiv_0000 | 810 | 5,576 |
8726e6a719b7aceb2fbafd889c1c2d666e5c788a | \section{Introduction}
Since Darwin's and Mendel's works on the theory of evolution by natural selection~\cite{darwin2004origin} and on the laws of biological inheritance~\cite{mendel1866versuche} respectively, evolutionary theories have focused mainly on the role of selection acting on randomly-generated genetic mate... | 2023-04-23T08:17:53.634Z | 2020-06-04T02:18:31.000Z | redpajama/arxiv | arxiv_0000 | 820 | 5,825 |
9c1162e5fe721ba2694ef3765fb7a2e0b723680b |
\section{Introduction}
Over the last two decades, fast multipole methods (FMMs)
and related hierarchical fast algorithms have become widespread
for computing $N$-body interactions in
computational chemistry, astrophysics, acoustics, fluid dynamics, and
electromagnetics. In the time-harmonic, acoustic setting,
a t... | 2023-04-23T08:17:53.759Z | 2021-04-26T02:20:22.000Z | redpajama/arxiv | arxiv_0000 | 824 | 14,033 |
dbeebf3a705dbb0459fba1e290e0005ca265c7b4 | \section{Introduction}
Simulating the dynamics of quantum many-body systems is a central challenge in Physics, Chemistry and the Material Sciences as well as in other areas of science and technology.
While for classical algorithms this task is in general intractable, quantum circuits offer a way around the classical b... | 2023-04-23T08:17:53.888Z | 2021-06-22T02:14:15.000Z | redpajama/arxiv | arxiv_0000 | 831 | 8,164 |
310f2fbcef8f7dd8c3e83a0d14f165507e332759 |
\section{Introduction}\label{sec:intro}
\begin{figure}[t]
\centering
\includegraphics[width=1.0\textwidth]{figs/fig1.pdf}
\captionsetup{font=small}
\caption{
Overview of the method and
latent space representation.
We start from an original image $I_o$ that can be edited $t(\cdot... | 2023-04-23T08:17:55.013Z | 2022-10-20T02:16:00.000Z | redpajama/arxiv | arxiv_0000 | 851 | 11,000 |
05117ae996b8a8c1114bb1f58a9cdc1286619a64 | \section{Introduction}
In the evolution of commercial cellular networks from 4G to next
generation solutions, multiple-input multiple-output (MIMO) technology
constitutes a salient milestone
\cite{Yang2015,Zheng2015,Xie2017,Wang2016,Wang2020,Ma2021,Wang2019,Wan2021,Fang2017},
leading to significant spectral and ... | 2023-04-23T08:17:56.311Z | 2022-09-23T02:10:14.000Z | redpajama/arxiv | arxiv_0000 | 886 | 14,710 |
db2fd334d31cfb560860d566766e84c90b3c5eb2 | \section{Introduction}
Text-to-speech (TTS) aims to synthesize high-quality speech for any given text \cite{taylor2009text}. TTS is an important research direction in artificial intelligence (AI) and received wide attention from academia and industry \cite{tan2021survey}. It has a wide range of applications, such as na... | 2023-04-23T08:17:56.697Z | 2022-09-23T02:10:25.000Z | redpajama/arxiv | arxiv_0000 | 898 | 3,777 |
98178c1c74b641417de91c2434698e3b4dd6be51 | \section{Introduction}
With the increase in travel demand, congestion has became an escalating issue nowadays impairing the efficiency of transportation systems. To mitigate this effect, substantial amount of efforts have been devoted into developing novel technologies and policies for traffic management in the last fe... | 2023-04-23T08:17:57.216Z | 2019-10-17T02:06:54.000Z | redpajama/arxiv | arxiv_0000 | 916 | 10,236 |
ae687e22bcefce12e00b10a8ab4de8da44966a93 | \section{Introduction}
Our main result is the following theorem.
\begin{thm}\label{thm:main}
Let $E/\mathbb{Q}$ be a number field of degree $n$. Denote by $D$ its discriminant, by $R$ the regulator of its ring of integers and by $h$ the class number.
For every class group character $\chi\in \widehat{\mathrm{Cl}(E)}$ l... | 2023-04-23T08:17:57.401Z | 2020-09-16T02:23:55.000Z | redpajama/arxiv | arxiv_0000 | 923 | 7,220 |
ec2ae1823fb59aa5840724903e0d8b40bd9b42ea | \section{Introduction and Rationale}
\label{sec:intro}
The vision of the Internet of Things~(IoT) opens a new era of technology penetration into the human lives, which touches upon a wide range of use cases: from Smart Home to Smart City and from Smart Grid to Factory Automation~\cite{extra1}. \textcolor{black}... | 2023-04-23T08:17:57.801Z | 2019-01-23T02:24:56.000Z | redpajama/arxiv | arxiv_0000 | 931 | 5,428 |
f6021f579b9f6a384b68fd13c4edc87071bda3fa | \section{introduction}
The double Burnside ring of a finite group $G$, denoted $B(G,G)$, is an important and interesting invariant in
the representation theory of finite groups. It is a central object in the study of biset functors, which has in turn answered important questions in representation theory of finite grou... | 2023-04-23T08:17:58.435Z | 2019-04-11T02:20:02.000Z | redpajama/arxiv | arxiv_0000 | 945 | 12,581 |
5013fb9be4129b0fd8a86dc507bc72f825fda1fe | \section{Introduction}
Object reconstruction from three-dimensional point clouds, a process known as photogrammetry, has become widely available through theoretical breakthroughs and the release of software packages \citep[e.g. Visual SFM][]{wu2011visualsfm}. In particular, 3D reconstruction has already found numerou... | 2023-04-23T08:17:58.771Z | 2019-01-23T02:17:58.000Z | redpajama/arxiv | arxiv_0000 | 964 | 6,905 |
58d0429f2c0e762148ea0b1f00e5bfe047e62702 | \section{Introduction}
Tunnels \& Trolls~\cite{StAndre:1975} is one of the oldest published tabletop roleplaying games~\cite[footnote~814]{Peterson:2012}.
Roleplaying games have become the subject of scholarly studies\footnote{In for example International journal of roleplaying~\url{http://journalofroleplaying.org/... | 2023-04-23T08:17:58.776Z | 2019-01-23T02:22:07.000Z | redpajama/arxiv | arxiv_0000 | 965 | 2,382 |
f5fa83c1aec9101307fc1f373dc3902417043902 | \section{Introduction}\label{intro}
\noindent Recently (\cite{ChasAs18} and \cite{Arxiv2}), we proposed new perspectives on relative finite elements accuracy based on a mixed geometrical-probabilistic interpretation of the error estimate derived from Bramble-Hilbert lemma. \sa
This led us to derive two laws of probab... | 2023-04-23T08:17:59.175Z | 2019-09-10T02:23:59.000Z | redpajama/arxiv | arxiv_0000 | 972 | 10,787 |
415070eb9adb082170b940998a7fda20a967a812 | \section{Introduction}
\label{sec:introduction}
Let $(M,g)$ be an $n$\hyp{}dimensional complete Riemannian manifold.
We say that $(M,g)$ supports an $L^p$\textsl{\hyp{}Calder\'on\hyp{}Zygmund inequality} for some $p\in(1,\infty)$, if there exists a constant $C>0$ such that
\begin{equation}
\label{e: CZp}
\tag{CZ(p)}
... | 2023-04-23T08:17:59.994Z | 2020-11-30T02:03:13.000Z | redpajama/arxiv | arxiv_0000 | 994 | 7,766 |
2f1b029d659f5feb40caf8ce13de0b1c16671629 | \section{Introduction}
In music composition, production and engineering, audio effects play an essential role in altering the sound towards the desired final result. For instruments like the electric guitar, the processing signal chain can often be viewed as part of the artist’s creative expression \cite{case2010record... | 2023-04-23T08:18:00.652Z | 2020-12-08T02:20:02.000Z | redpajama/arxiv | arxiv_0000 | 1,017 | 4,355 |
d829cba4c69da5cf0220c78ef1f5fba475f2d3e5 | \section{Introduction}
Over the past century, the notion of symmetry has become an
indispensable feature of theoretical physics. It no longer merely
facilitates the simplification of a difficult calculation, nor
lurks behind the towering conservation laws of Newton's time, but
rather unveils fundamental featur... | 2023-04-23T08:18:00.687Z | 2021-12-17T02:11:49.000Z | redpajama/arxiv | arxiv_0000 | 1,019 | 13,202 |
e9e3e94b4f5c8e8a23db5064d535542725d996a2 |
\chapter{Introduction}
\begin{quote}
After all a man cant only do what he has to do,
with what he has to do it with, with what he has
learned, to the best of his judgment. And I reckon
a hog is still a hog, no matter what it looks like.
So here goes, \\
William Faulkner, \underline{Old Man}
\end{quote}
\par
Ma... | 2023-04-23T08:18:00.756Z | 2020-12-08T02:16:51.000Z | redpajama/arxiv | arxiv_0000 | 1,023 | 44,382 |
f7a850f7601ffeb641414d539310445acf9b088d | \section{Introduction}
The starting point of this note is the flow
\begin{equation}
\label{H1}
\dot z = f(z),
\end{equation}
in which $f $ or its conjugate
$\bar f$ is an entire function. A trajectory for (\ref{H1})
is a path $z(t)$ in the plane with $z'(t) = f(z(t)) \in \mathbb C$ for $t$ in some maximal inte... | 2023-04-23T08:18:01.662Z | 2021-05-13T02:10:00.000Z | redpajama/arxiv | arxiv_0000 | 1,055 | 5,213 |
ece751f52a3c14cc273632ba73f7b022d3a026a1 |
\section{Introduction}
Enhancing a speech signal corrupted by interfering speakers has been one of the major challenges of speech signal processing.
One way to tackle this problem is to use speech separation~\cite{makino2007blind}, which separates a speech mixture into all its sources. Research in speech separation ha... | 2023-04-23T08:18:02.974Z | 2022-04-12T02:28:52.000Z | redpajama/arxiv | arxiv_0000 | 1,090 | 5,008 |
9b8d1f4beb3328df526daa2846225b5332484d10 | \section{Introduction}
Machine learning (ML) has progressed rapidly during the past decade, and ML models have been adopted in a wide range of applications, such as image recognition~\cite{HZRS16,KSH12}, speech recognition~\cite{GMH13,HDYDMJSVNSK12}, machine translation~\cite{BCB15}, etc.
Most of the current ML applic... | 2023-04-23T08:18:03.327Z | 2021-11-16T02:28:32.000Z | redpajama/arxiv | arxiv_0000 | 1,102 | 12,954 |
f485fdcdf4dd56735fff5d6cef5d8d0e2b5d81c2 | \section*{Introduction}
In this paper we investigate mathematically a process which is used by the building industry in order to protect and conserve cultural goods and other structure works. Such structures which are subject to weathering can
be strengthened by filling the pores by a water-lime-mixture. The mixture ... | 2023-04-23T08:18:03.406Z | 2021-12-22T02:17:42.000Z | redpajama/arxiv | arxiv_0000 | 1,105 | 9,216 |
819a867bbf21d4a402682d24a410a19729cfd119 | \section{Introduction}\label{s:intro}
The FLRW metric is an exact solution to Einstein's equations, achieved under the implication of space homogeneity and isotropy. It has been well recognized for satisfactorily explaining several other observational evidence about our Universe, including the distribution of large-... | 2023-04-23T08:18:04.315Z | 2021-11-22T02:08:52.000Z | redpajama/arxiv | arxiv_0000 | 1,134 | 2,737 |
ca374d3319871a235eb644ad5a4489cdba90d549 | \section{Introduction}
Cellular networks are a vital component of a truly mobile augmented reality (AR) system/application such as ``Pokemon Go," as they offer the widest coverage to the end-users. With the rising demand for immersive AR experience, the AR market is set to cross \$100 Billion and the total mobile netw... | 2023-04-23T08:18:04.331Z | 2021-11-16T02:27:35.000Z | redpajama/arxiv | arxiv_0000 | 1,135 | 7,613 |
f2b9441b464e2abb7ad36592246e2759d3f8c0cc | \section{Introduction}
Spin qubits in semiconductor quantum dots are a promising technique to realize universal quantum computation due to their potential scalability via combining the quantum technologies with the state-of-the-art semiconductor industry \cite{Chatterjee.2021}. Currently, fast and high-fidelity contro... | 2023-04-23T08:18:04.494Z | 2022-03-22T01:38:07.000Z | redpajama/arxiv | arxiv_0000 | 1,138 | 8,102 |
dd7f0b3281697bcb24a240213b6590a83923c888 | \subsection*{The scheme}
The model we consider is a quantum simulator that has the underlying ability to be a universal quantum computer (one that can run an arbitrary algorithm), and the task is to learn how to use it as such. For this reason, we take the simulator as consisting of $n$ qubits with some interactions be... | 2023-04-23T08:18:05.261Z | 2018-08-07T02:22:42.000Z | redpajama/arxiv | arxiv_0000 | 1,163 | 6,266 |
ca89837df981948965e801e7fe660bbabcf45141 | \section{Introduction}
Motion prediction is important for finding the middle ground between pure teleoperation and autonomous control of robotic systems. It allows the robot to anticipate the future motions of the users and, consequently, their intention, and assist them in performing a given task. To improve the perf... | 2023-04-23T08:18:05.668Z | 2018-03-28T02:24:43.000Z | redpajama/arxiv | arxiv_0000 | 1,174 | 6,565 |
aaa1dfed58ad8fff95ba18870127f9909e2559f4 | \section{Introduction}
\subsection{} Let $F$ be a non-archimedean locally compact field. Let $\bf G$ be a quasi-split connected reductive group over $F$, and let $r$ be a complex representation of the Langlands dual group ${}^{\rm L}G$ of $\bf G$. For interesting choices of $\bf G$ and $r$, the Langlands-Shahidi meth... | 2023-04-23T08:18:05.784Z | 2018-09-06T02:16:59.000Z | redpajama/arxiv | arxiv_0000 | 1,178 | 12,534 |
c0e4175ec844cc7ceab1cc90306bab47471395ba | \section{Introduction}
The distribution within galaxies of the atomic elements created via stellar evolution is a key observable affected by the various processes associated with galaxy evolution. In principle, the physical mechanisms associated with specific processes affecting galaxies can be deciphered from a spatia... | 2023-04-23T08:18:06.074Z | 2017-01-10T02:00:15.000Z | redpajama/arxiv | arxiv_0000 | 1,189 | 6,390 |
2f65b6b42adc8b287ef16169c4d052576e80ae35 | \section{Introduction}\label{Sec:Intro}
The problem of reconstruction of spike-trains, and of similar signals, from noisy moment measurements,
and a closely related problem of robust solving the classical Prony system,
is a well-known problem in Mathematics and Engineering.
It is of major practical importance, and, i... | 2023-04-23T08:18:06.321Z | 2017-01-09T02:01:19.000Z | redpajama/arxiv | arxiv_0000 | 1,200 | 7,815 |
a6d34f85969bf8c2b96bfa1c5b65bebd7706a88a | \section{Introduction}
Quantum technologies received great attention as means to improve resolution and precision of metrological tasks by reducing statistical errors due to quantum noise~\cite{Giovannetti_QuMetReview_2004,Walther_4photon_2004,Mitchell_superresolution_2004,Nagata_superresolution_2007,Higgins_entanglem... | 2023-04-23T08:18:06.460Z | 2017-09-18T02:06:48.000Z | redpajama/arxiv | arxiv_0000 | 1,203 | 3,502 |
65a85daf3733718ceae98a86dd06d37afbca6731 | \section{Introduction}
\label{sec:intro}
\begin{figure*}
\includegraphics[width=\linewidth]{pipeline.png}
\centering
\caption{Pipeline of the kernel computation for a polyhedron. At first step, we compute the Axis Aligned Bounding Box (AABB) of the polyhedron; then, we iterate on each face $f$ of the polyh... | 2023-04-23T08:18:07.590Z | 2022-02-15T02:41:30.000Z | redpajama/arxiv | arxiv_0000 | 1,235 | 18,272 |
7566cecb1e91b4ee00063e4324c60d70d4aaf7c1 | \section{Introduction}
The study of isospectral matrix polynomials lies at the crossroads of integrable systems and algebraic geometry. An $n \times n$ \textit{matrix polynomial} of degree $m$ is an expression of the form $P(\lambda)= A_0 + A_1\lambda + \dots + A_m \lambda^m$ where $A_0, \dots, A_m \in \mathrm{Mat}_n(\... | 2023-04-23T08:18:07.860Z | 2015-06-18T02:06:56.000Z | redpajama/arxiv | arxiv_0000 | 1,241 | 12,611 |
deb5bb9fc0f67ef3e54e4cd6f526b196ec9d0b85 | \section*{Appendix A - Discretization}
We describe more in depth the discretization steps and give the implementation details of our algorithm (we skip trivial derivations for the sake of compactness). Detailed gradients for each term are given in Appendix B.
\paragraph*{Mesh parametrization.}
We denote by $S$ a tri... | 2023-04-23T08:18:09.890Z | 2015-12-23T02:07:01.000Z | redpajama/arxiv | arxiv_0000 | 1,301 | 12,507 |
c90ec76bf0d8c57229c103169e89361cd660ca9d | \section{Introduction}
Let $G$ be a finite group and $k$ a field of characteristic $p >0$.
Let $\operatorname{{\bf stmod}(\text{$kG$})}\nolimits$ be the stable category of finitely generated $kG$-modules
modulo projective modules. It is a tensor triangulated category and its
thick tensor ideal subcategories have been... | 2023-04-23T08:18:10.056Z | 2020-07-16T02:02:09.000Z | redpajama/arxiv | arxiv_0000 | 1,305 | 8,619 |
fd5595cee3c795e574d69228905b5807fd170661 | \section{Introduction}
Pre and post-Lie algebras are two classes of non-associative algebras which later on have undergone to an extensive investigation because of the important role they play both in pure an applied mathematics.
Pre-Lie algebras, also known in the literature under the name of left-symmetric and Vinbe... | 2023-04-23T08:18:11.509Z | 2020-06-19T02:02:48.000Z | redpajama/arxiv | arxiv_0000 | 1,346 | 23,128 |
7be7710a4c83b0706b086e7deaf07832a298df3c | \section{Introduction}
In the 70s Lauterbur, Mansfield and Maudsley showed that magnetic field gradients, together with the magnetic resonance technique,
could be used to produce images \cite{Lauterbur,Mansfield1,Mansfield2,Mansfield3}.
Magnetic resonance imaging (MRI) became a very useful technique in medical scien... | 2023-04-23T08:18:11.535Z | 2020-06-19T02:03:01.000Z | redpajama/arxiv | arxiv_0000 | 1,348 | 6,745 |
aad0ad5b111e0b7030182d5ac1917db6820710cc | \section{Introduction}
The Kazhdan--Lusztig polynomial of a matroid was introduced by Elias, Proudfoot, and Wakefield in 2016 \cite{firstklpolys}, which we define here. Throughout, let $M$ be a matroid, $F$ be a flat of the matroid $M$, $\operatorname{rk}$ be the rank function on $M$, and $\chi_M$ be the characteristic... | 2023-04-23T08:18:11.766Z | 2020-06-19T02:06:25.000Z | redpajama/arxiv | arxiv_0000 | 1,357 | 12,525 |
50e1a51ed8d3509b85019b4b741756ceba605732 | \section{Introduction} \label{introduction}
Linear-response time dependent density functional theory (TDDFT)\cite{runge1984density,casida1995time,dreuw2005single} is very widely used to model electronic excited states of chemical species. TDDFT is an appealing approach as it is computationally inexpensive ($O(N^{3-4})... | 2023-04-23T08:18:11.919Z | 2020-09-23T02:02:55.000Z | redpajama/arxiv | arxiv_0000 | 1,360 | 10,119 |
6ece27d397c24cdca8280ef3b35e796db8283bcf | \section{\@startsection {section}{1}{\z@}%
{-3.5ex \@plus -1ex \@minus -.2ex
{2.3ex \@plus.2ex}%
{\normalfont\large\bfseries}}
\renewcommand\subsection{\@startsection{subsection}{2}{\z@}%
... | 2023-04-23T08:18:12.579Z | 2020-07-17T02:20:37.000Z | redpajama/arxiv | arxiv_0000 | 1,380 | 7,322 |
bac32f23381ed1380c7d9851bcb32287bdf70a01 | \section{Introduction}\label{s-intro}
If you have tried to set up a pick-nick table or used a stepladder, then you are certainly aware how of the wobbly table problem.
How can you make this object stop to wobble (without using extra tools)?
Well, if you have a square or even rectangular table, then you are in luck. ... | 2023-04-23T08:18:13.210Z | 2020-04-22T02:07:39.000Z | redpajama/arxiv | arxiv_0000 | 1,400 | 2,673 |
a28e7fa3c64beb46c20bc85c0275f2acaf6ad2f9 | \section{Introduction}
Consider a task whose completion requires the execution of a certain underlying process. What is the effect of restart -- i.e. resetting the underlying process while it is running -- on the task's completion time? The answer to this question depends on the completion-time statistics. For example... | 2023-04-23T08:18:13.294Z | 2020-04-21T02:27:11.000Z | redpajama/arxiv | arxiv_0000 | 1,404 | 9,899 |
3bc27f3249ac94e3b9dec9a2b74b6454e532e5ad | \section{Introduction}
\IEEEPARstart{I}{n} power flow studies, the linearized dc power flow (DCPF) model offers compelling computational advantages over the nonlinear ac power flow (ACPF) model based on the Newton-Raphson (NR) method, which requires iterative solutions. However, the DCPF model results become more inacc... | 2023-04-23T08:18:14.059Z | 2020-04-21T02:28:24.000Z | redpajama/arxiv | arxiv_0000 | 1,428 | 5,511 |
3b2e7e722addbec2db82995cb5451a6d70abf530 | \section*{Abstract}
In addition to the learning check testing results performed at each lectures, we have extended the factors to find the key dropping out factors. Among them are, the number of successes in the learning check testing, the number of attendances to the follow-up program classes, and etc.
Then, we have f... | 2023-04-23T08:18:15.315Z | 2019-01-14T02:22:28.000Z | redpajama/arxiv | arxiv_0000 | 1,458 | 3,329 |
648804c78609625300042cdafa6fb5c3a708de8c | \section{Introduction}
Network design models have found wide application in the planning, design and operations management of transportation, power \& energy distribution, supply chain logistic and telecommunications networks. Usually, they are based on mixed-integer programming models, and many such models have bee... | 2023-04-23T08:18:15.710Z | 2019-01-14T02:16:40.000Z | redpajama/arxiv | arxiv_0000 | 1,471 | 8,035 |
88fdfa186379df6282014f879b87b6cfd6f82dd5 | \section{Introduction}
In recent years, it has been exceedingly clear that theories of quantum gravity and their holographic duals are {\it maximally chaotic}. This idea leverages the striking insight that there is a universal upper bound on quantum chaos \cite{Maldacena:2015waa}. The Maldacena-Shenker-Stanford (MSS) b... | 2023-04-23T08:18:16.700Z | 2021-09-21T02:00:17.000Z | redpajama/arxiv | arxiv_0000 | 1,510 | 14,191 |
ce2102673709ffef15e41523262fde8f04fc94f4 | \section{Introduction}
\label{secIntro}
In many applications in physical reasoning and in computer graphics, shapes
deform continuously. However, what kinds of functions from time to shapes
count as ``continuous'' depends on the topology of the space
of regions; and this, as we will discuss here, is not as clear-cut a... | 2023-04-23T08:18:17.580Z | 2021-09-21T02:27:18.000Z | redpajama/arxiv | arxiv_0000 | 1,536 | 18,219 |
bb85c1c071caf531850958fe4f6eb32dec702191 | \section{Introduction}
Despite some disagreement over the last few decades, many physicists have maintained that absolute time was displaced by Einstein's relative time. Contrary to that tradition, William Lane Craig has long argued that relativity should be supplanted by an alternative, (supposedly) empirically indis... | 2023-04-23T08:18:17.690Z | 2021-09-20T02:20:06.000Z | redpajama/arxiv | arxiv_0000 | 1,538 | 19,436 |
bd53fc1bd598501ed197a46f97775e77b3d3b78d | \section{Proof of the inequalities in Theorem \ref{T1}}
\ \ Let us start with following lemma from [FM2], in order to clarify the equivalence between exponential inequalities on sets $\{x\in \mathbb{R}^n\ :\ |Tf(x)|\geq 1\}$ and regularized exponential inequalities over $\mathbb{R}^n$.
\bigskip
\noindent\textup{\bf ... | 2023-04-23T08:18:17.749Z | 2021-09-20T02:16:20.000Z | redpajama/arxiv | arxiv_0000 | 1,540 | 21,966 |
ee0408c390ef324f9dc647a8d626ee373629f689 | \section{Proofs for Section~\ref{sec:exact_sub}}\label{app:exact_sub}
\begin{proof}[Proof of Theorem~\ref{thm:bad_sdp}]
We first show that the SDP admits exactly one feasible point. Indeed, let $X \succeq 0$ be feasible for the SDP. Then, constraints $n$ and $n+1$ imply $\ip{A_{n+1} - A_{n}}{X} = 0$. That is, the trac... | 2023-04-23T08:18:17.948Z | 2018-03-02T02:05:59.000Z | redpajama/arxiv | arxiv_0000 | 1,548 | 10,833 |
23187769886cf3c53274a609c7450717064c8285 | \section{Introduction}
Understanding the structure, phase behaviour and dynamics of ionic liquids and
concentrated electrolytes, both in the bulk and near interfaces, is a
longstanding challenge. Since the pioneering work of Helmholtz
\cite{helmholtz1853}, Debye and H\"{u}ckel \cite{debye1923}, Onsager
\cite{onsager19... | 2023-04-23T08:18:18.560Z | 2018-03-02T02:02:18.000Z | redpajama/arxiv | arxiv_0000 | 1,572 | 3,968 |
5a0b28e04314cd21e9e035d09f47ca496a674a95 | \section*{Introduction}
The hydrodynamic instabilities of ordinary viscous fluids are a cornerstone of fluid mechanics, governing the breakdown of laminar flow and the transition to turbulence \cite{DrazinReid,Charru}, and of great importance across fluid motion in engineering, meteorology, oceanography, astrophysics ... | 2023-04-23T08:18:19.019Z | 2018-03-02T02:08:17.000Z | redpajama/arxiv | arxiv_0000 | 1,586 | 4,275 |
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