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\section{Introduction}\label{sec:intro} A graph $G=(V,E)$ is \emph{$k$-thin} if there exist an ordering $v_1, \dots , v_n$ of $V$ and a partition of $V$ into $k$ classes $(V^1,\dots,V^k)$ such that, for each triple $(r,s,t)$ with $r<s<t$, if $v_r$, $v_s$ belong to the same class and $v_t v_r \in E$, then $v_t v_...
{ "timestamp": "2021-04-19T02:15:41", "yymm": "2006", "arxiv_id": "2006.16887", "language": "en", "url": "https://arxiv.org/abs/2006.16887" }
\section{Introduction}\label{sec:I} In recent years, theoretical and experimental evidence has shown that periodic driving can be a key element for engineering exotic quantum mechanical states of matter, such as time crystals and superconductors at room temperature \cite{OK19}, \cite{H16}, \cite{RL20}. The renewe...
{ "timestamp": "2020-08-25T02:28:08", "yymm": "2006", "arxiv_id": "2006.16948", "language": "en", "url": "https://arxiv.org/abs/2006.16948" }
\section{Introduction} \label{sec:intro} The era of analytics \cite{Tukey62}, data science \cite{Tukey77}, and big data \cite{Mckinsey11} has driven substantial governmental, industrial, and disciplinary interest, goal and strategy transformation as well as a paradigm shift in research and innovation. This has resulte...
{ "timestamp": "2020-07-01T02:23:49", "yymm": "2006", "arxiv_id": "2006.16964", "language": "en", "url": "https://arxiv.org/abs/2006.16964" }
\section{Introduction}\label{sec:introduction} In recent years there has been a surge of research interest in developing varieties of Graph Neural Networks (GNNs) -- specialized deep learning architectures for dealing with graph-structured data, such as social networks \cite{perozzideepwalk}, recommender graphs...
{ "timestamp": "2020-07-01T02:22:23", "yymm": "2006", "arxiv_id": "2006.16904", "language": "en", "url": "https://arxiv.org/abs/2006.16904" }
\section*{Acknowledgments} This work was partially supported by FAPERJ and CNPq, Brazil, and UBACyT, Argentina. The third author is supported by CAPES, Brazil. We would like to thank V\'{\i}ctor Braberman for some ideas for the reduction in the \textsf{NP}-completeness proof. \section{Characterization of \fp{k} and...
{ "timestamp": "2020-07-01T02:24:40", "yymm": "2006", "arxiv_id": "2006.16991", "language": "en", "url": "https://arxiv.org/abs/2006.16991" }
\section{Introduction} \label{intro} The three-dimensional Schr{\"o}dinger equation has a closed-form analytical solution for only a very small class of systems (i.e. a free particle in a box, harmonic oscillator, or some central potentials). In all other cases, one has to rely on approximations, perturbation theory, ...
{ "timestamp": "2020-07-01T02:23:00", "yymm": "2006", "arxiv_id": "2006.16935", "language": "en", "url": "https://arxiv.org/abs/2006.16935" }
\section{Introduction} During the last decade, deep learning \citep{goodfellow2016dlbook}, the study of neural networks (NNs), has achieved ground-breaking results in diverse areas such as computer vision \citep{krizhevsky12alexnet,he2016resnet,long15fully,chen2018deeplab}, natural language processing \citep{hinton2...
{ "timestamp": "2020-10-07T02:19:14", "yymm": "2006", "arxiv_id": "2006.16856", "language": "en", "url": "https://arxiv.org/abs/2006.16856" }
\section{Introduction}\label{sec:intro} Research on multigrid~(MG)~methods~\cite{Alcouffe81, Dendy82, Dendy83} has been very active in recent years. The MG methods are efficient, scalable, and often computationally optimal for solving sparse linear systems of equations arising from discretizations of partial different...
{ "timestamp": "2020-07-01T02:24:26", "yymm": "2006", "arxiv_id": "2006.16986", "language": "en", "url": "https://arxiv.org/abs/2006.16986" }
\section{Introduction} The LSND \cite{lsnd} and MiniBooNE \cite{mb_oscnew,mb_oscnst} experiments have reported excesses of $\nu_e$ and $\bar \nu_e$ charge-current quasielastic (CCQE) events in $\nu_\mu$ beams. Exotic models beyond the three-neutrino paradigm that have been invoked to explain these anomalies include, ...
{ "timestamp": "2021-03-10T02:02:07", "yymm": "2006", "arxiv_id": "2006.16883", "language": "en", "url": "https://arxiv.org/abs/2006.16883" }
\section*{Acknowledgements} \noindent We express our gratitude to our colleagues in the CERN accelerator departments for the excellent performance of the LHC. We thank the technical and administrative staff at the LHCb institutes. We acknowledge support from CERN and from the national agencies: CAPES, CNPq, FAPERJ and ...
{ "timestamp": "2020-11-11T02:19:59", "yymm": "2006", "arxiv_id": "2006.16957", "language": "en", "url": "https://arxiv.org/abs/2006.16957" }
\section{Introduction} \begin{comment} XXX OHDSI : ``real world data and evidence'', but not necessarily on comparable data due to the absence of randomization, contrary to clinical trials. In that sense, trial data is of a higher quality. XXX network meta-analyses \citep{Zarin2017} XXX VisualDecisionLinc: A visual ...
{ "timestamp": "2021-04-20T02:11:10", "yymm": "2006", "arxiv_id": "2006.16910", "language": "en", "url": "https://arxiv.org/abs/2006.16910" }
\section{Introduction} Since the introduction of the Bost--Connes system in the mid '90s, \cite{BC}, a very rich interplay between number theory and quantum statistical mechanics developed, involving the Galois theory of abelian and non-abelian extensions of number fields (\cite{CoMaRa}, \cite{Corn1}, \cite{HaPa}, \c...
{ "timestamp": "2020-07-01T02:22:15", "yymm": "2006", "arxiv_id": "2006.16897", "language": "en", "url": "https://arxiv.org/abs/2006.16897" }
\section{Introduction} Selecting $k$ diverse items out of a larger collection of $n$ items is a classical problem in computer science which naturally emerges in many tasks such as summarization (select $k$ phrases) and recommendation (select $k$ articles/ads to show to the user). An increasingly popular approach to mo...
{ "timestamp": "2020-07-01T02:23:22", "yymm": "2006", "arxiv_id": "2006.16947", "language": "en", "url": "https://arxiv.org/abs/2006.16947" }
\section{Introduction} Born from World War II and the haunting and despicable practices of Nazi era experimentation \cite{Nazianat71:online} the \textit{1947 Nuremberg code}~\cite{weindling2001origins_informed_consent} and the subsequent \textit{1964 Helsinki declaration}~\cite{Timetodi89:online_Nature}, helped establi...
{ "timestamp": "2020-07-27T02:05:48", "yymm": "2006", "arxiv_id": "2006.16923", "language": "en", "url": "https://arxiv.org/abs/2006.16923" }
\section{Introduction} One of the key ideas of many disciplines including materials science in particular is that structure and properties of materials tend to be related. \cite{cheng2011atomic,delince2007structure} For instance, much of metallurgy is about tuning materials microstructure to design materials with desi...
{ "timestamp": "2020-07-01T02:20:58", "yymm": "2006", "arxiv_id": "2006.16833", "language": "en", "url": "https://arxiv.org/abs/2006.16833" }
\section{Introduction}\label{ref1} Given a finite set $\Sigma$ of square matrices of the same dimension and with real entries, the \newword{joint spectral radius} of $\Sigma$ is \[ \tilde\rho(\Sigma)=\lim_{n\to\infty}\max\set{\norm{C}:C\in\Sigma^n}, \] where $\Sigma^n$ is the set of all products of $n$ matrices from $...
{ "timestamp": "2020-07-01T02:22:16", "yymm": "2006", "arxiv_id": "2006.16899", "language": "en", "url": "https://arxiv.org/abs/2006.16899" }
\section{Introduction} The analysis of the behavior of museum visitors has a long-standing tradition~\cite{robinson1928book} and grows daily in importance as tourist flows increase and digital technologies get ubiquitous~\cite{falk2016book, yalowitz2009}. The outstanding issue of visitors management demands for mul...
{ "timestamp": "2021-06-01T02:42:11", "yymm": "2006", "arxiv_id": "2006.16830", "language": "en", "url": "https://arxiv.org/abs/2006.16830" }
\section{Introduction} \IEEEPARstart{T}{he} penetration of new renewable sources of electrical energy is currently increasing in most electric power grids worldwide, as more and more traditional power plants are phased out. A major concern is obviously that this substitution reduces the available inertia while it sim...
{ "timestamp": "2020-07-01T02:22:08", "yymm": "2006", "arxiv_id": "2006.16888", "language": "en", "url": "https://arxiv.org/abs/2006.16888" }
\section{Introduction} In this paper we will give new proofs for the following theorems of Schrijver. The first theorem is about perfect matchings of regular bipartite graphs. \begin{Th}[Schrijver \cite{Sch2}] \label{matching} Let $G=(A,B,E)$ be $d$--regular bipartite graph on $2n$ vertices. Let $\prm(G)$ denote...
{ "timestamp": "2021-03-15T01:15:32", "yymm": "2006", "arxiv_id": "2006.16847", "language": "en", "url": "https://arxiv.org/abs/2006.16847" }
\section{Introduction} Hundreds of ultra-diffuse galaxies (UDGs) have been recently discovered in the Coma cluster. They are typically spheroidal in shape with central surface brightness $\mu_{g,0} = 24-26$~mag~arcsec$^{-2}$ and have large effective radii (of a few kpc) for their stellar masses \citep{vdokkum2015, kod...
{ "timestamp": "2020-07-01T02:22:24", "yymm": "2006", "arxiv_id": "2006.16906", "language": "en", "url": "https://arxiv.org/abs/2006.16906" }
\section{Introduction} Knowledge tracing is a fundamental task in computer-aided educational system, which can benefit both learning and teaching~\cite{anderson2014engaging,burns2014intelligent,jones2004ubiquitous}. A typical knowledge tracing process is as follows: when a question is posted, a learner reads its text a...
{ "timestamp": "2021-04-22T02:20:41", "yymm": "2006", "arxiv_id": "2006.16915", "language": "en", "url": "https://arxiv.org/abs/2006.16915" }
\section{Introduction} A variety of deep learning (DL) models and algorithms have been proposed and successfully solved a great many of applications fields such as computer vision, natural language processing, data analysis etc. Due to its great success, recently, leveraging machine learning (ML) and deep learning appr...
{ "timestamp": "2020-07-01T02:21:14", "yymm": "2006", "arxiv_id": "2006.16845", "language": "en", "url": "https://arxiv.org/abs/2006.16845" }
\section{Introduction} Neural networks are mathematical functions that map some set of input values to output values \citep{Goodfellow2016}. Neural network models belong to the class of representation learning methods that automatically discover the underlying representations of data. A neural network model is compose...
{ "timestamp": "2020-07-01T02:23:09", "yymm": "2006", "arxiv_id": "2006.16941", "language": "en", "url": "https://arxiv.org/abs/2006.16941" }
\section{Introduction and model} \label{sec:introduction} A future much greater reliance on renewable energy means that there is likely to be corresponding much greater need for storage in order to keep electricity systems balanced---see~\cite{Strbacetal,NSPN}. The optimal operation of energy storage for such balanci...
{ "timestamp": "2020-11-25T02:27:57", "yymm": "2006", "arxiv_id": "2006.16979", "language": "en", "url": "https://arxiv.org/abs/2006.16979" }
\section{Introduction } \subsection{Statement of main results} \label{intro} Consider an elliptic curve in the form of Weierstrass \begin{equation}\label{W} u^2=4x^3-g_2x-g_3,\quad g_2^3-27g_3^2\neq 0. \end{equation} {\em Lam\'e equation} (algebraic version) is the second order differential equation \begin{equation}\l...
{ "timestamp": "2021-05-19T02:21:06", "yymm": "2006", "arxiv_id": "2006.16837", "language": "en", "url": "https://arxiv.org/abs/2006.16837" }
\section{Introduction} \subsection{Background} In the April 1986 issue of \emph{The American Mathematical Monthly}, Richard Guy~\cite{Guy86} presented an open question, attributed to Boguslav Tomaszewski: \begin{question} Consider $n$ real numbers $a_1,a_2,\ldots,a_n$ such that $\sum_i a_i^2=1$. Of the $2^n$ expressi...
{ "timestamp": "2021-03-09T02:41:03", "yymm": "2006", "arxiv_id": "2006.16834", "language": "en", "url": "https://arxiv.org/abs/2006.16834" }
\section{Introduction} \label{sec:introduction} We explore mirror symmetry for smoothings of a $3$-dimensional Gorenstein toric affine variety $V$. Specifically, we try to imagine what consequences mirror symmetry may have for the classification of smoothing components of the deformation space $\Defo V$. Conjecture~A...
{ "timestamp": "2020-09-04T02:21:52", "yymm": "2006", "arxiv_id": "2006.16885", "language": "en", "url": "https://arxiv.org/abs/2006.16885" }
\section{Introduction}\label{sec:introduction}} \IEEEPARstart{T}{he} interconnection of electronic sensors and actuators, known as the Internet of Things (IoT)~\cite{iot}, is creating enormous opportunities for automating systems around us and improving their efficiency. It is paving the way for the development o...
{ "timestamp": "2020-07-01T02:22:13", "yymm": "2006", "arxiv_id": "2006.16894", "language": "en", "url": "https://arxiv.org/abs/2006.16894" }
\section{Introduction} The interest for (geometric) structure-preserving numerical integrators has grown in computing community \cite{hairer06,blanes16,amses18,bochev06,arnold10,amses19,salnikov18}. This is due to the ability of these schemes in reproducing foundamental physical properties (conservation laws, \dots) ...
{ "timestamp": "2020-07-01T02:22:51", "yymm": "2006", "arxiv_id": "2006.16930", "language": "en", "url": "https://arxiv.org/abs/2006.16930" }
\section{Introduction} \label{sec:Intro} The Universe where we reside, to our contemporary knowledge, is governed by the laws of quantum theory, the information and long-range entanglement, and gravity theory. Quantum field theory (QFT), especially gauge field theory, under the name of \emph{Gauge Principle} followi...
{ "timestamp": "2020-12-24T02:24:24", "yymm": "2006", "arxiv_id": "2006.16996", "language": "en", "url": "https://arxiv.org/abs/2006.16996" }
\section{Introduction} \label{sec:1} Haze is a typical atmospheric phenomenon which occurs when the dust, smoke and other particles accumulate in relatively dry air. These particles absorb and scatter the light greatly, thus attenuating the scene radiance reflected from scene point and confuse it with the scattering li...
{ "timestamp": "2020-07-01T02:20:41", "yymm": "2006", "arxiv_id": "2006.16829", "language": "en", "url": "https://arxiv.org/abs/2006.16829" }
\section{Introduction to layered semiconductors} \label{optical properties} \vspace{-0.2cm} The physical properties of atomic monolayers often change dramatically from those of their parent bulk materials. Prime examples are monolayers of graphite (graphene) and MoS$_2$, as their ultimate thinness makes them extremely ...
{ "timestamp": "2020-07-01T02:21:52", "yymm": "2006", "arxiv_id": "2006.16872", "language": "en", "url": "https://arxiv.org/abs/2006.16872" }
\section{Introduction} This paper focuses on the problem of creating schedules for Time-Triggered traffic on the TTEthernet network. The objective is to minimize the makespan of the Time-Triggered traffic and, thus, maximize the continuous gap for the Event-Triggered traffic. The aim of the paper is to develop the sch...
{ "timestamp": "2020-07-01T02:21:31", "yymm": "2006", "arxiv_id": "2006.16863", "language": "en", "url": "https://arxiv.org/abs/2006.16863" }
\section{Introduction} Motivated by pre-trained models like BERT \cite{devlin2018bert} and GPT \cite{radford2018improving} which have significantly improved the performance of many NLP tasks, researchers \cite{lu2019vilbert,li2019unicoder,su2019vl,li2019visualbert,chen2019uniter} have noticed the importance of pre-trai...
{ "timestamp": "2021-03-22T01:10:15", "yymm": "2006", "arxiv_id": "2006.16934", "language": "en", "url": "https://arxiv.org/abs/2006.16934" }
\section{Other Normalization Methods} \label{app:normalization} A simple normalization technique is to map scores on an environment $j$ that are in the range $[a_j,b_j]$ to $[0,1]$, i.e., $g(x,j) \coloneqq (x-a_j) / (b_j - a_j)$ \citep{bellemare13arcade}. However, this can result in normalized performance measures tha...
{ "timestamp": "2020-08-14T02:17:16", "yymm": "2006", "arxiv_id": "2006.16958", "language": "en", "url": "https://arxiv.org/abs/2006.16958" }
\section{Introduction} \label{sec: introduction} Multi-component fluids are very common in nature, where degree of polydispersity is often attributed to a distribution of particle sizes. The outcome of the particle size variation has an important role, e.g., in the glass forming ability of the colloidal fluids. In exp...
{ "timestamp": "2020-07-01T02:22:24", "yymm": "2006", "arxiv_id": "2006.16905", "language": "en", "url": "https://arxiv.org/abs/2006.16905" }
\section{Introduction} Hyperspectral (HS) cameras are able to acquire images with very high spectral resolution. However, the fundamental compromise between signal-to-noise ratio, spatial resolution, and spectral resolution means that their spatial resolution is usually low~\cite{shaw2003reviewSpecImaging}. Multispe...
{ "timestamp": "2020-12-08T02:18:07", "yymm": "2006", "arxiv_id": "2006.16968", "language": "en", "url": "https://arxiv.org/abs/2006.16968" }
\section{Introduction} \label{sec:introduction} In this article, we revisit the $\Psi$--process introduced in \cite{candy} and studied in \cite{Junge}. This point process on $[0,1]$ can be defined as follows. Suppose that $N_t$ is the counting function for a Poisson process on $[0, \infty)$ with intensity $e^t.$ Su...
{ "timestamp": "2020-07-01T02:22:54", "yymm": "2006", "arxiv_id": "2006.16932", "language": "en", "url": "https://arxiv.org/abs/2006.16932" }
\section{Mining Docstrings} \subsection{Mining Argument Schemas} Sphinx and numpydoc pre-parse the documentation into a list of argument tuples of the form \python{(name, short_desc, long_desc)}. The CNL parser uses the grammar in Figure~\ref{fig:type_grammar_full} to extract per-argument schemas from the \python{sho...
{ "timestamp": "2020-07-06T02:03:56", "yymm": "2006", "arxiv_id": "2006.16984", "language": "en", "url": "https://arxiv.org/abs/2006.16984" }
\section{Introduction} \vspace{-0.3cm} Generative Adversarial Networks (GANs)~\cite{goodfellow2014generative} have achieved great success in learning high dimensional probability distributions. The capability of GANs advances many important and useful applications, like high quality image generation~\cite{karras2017p...
{ "timestamp": "2020-07-01T02:24:39", "yymm": "2006", "arxiv_id": "2006.16990", "language": "en", "url": "https://arxiv.org/abs/2006.16990" }
\section{Introduction} Eclipsing binary systems provide the ability to determine absolute fundamental parameters of stellar components, calibrate stellar evolution models, measure the orientation and dynamical changes in orbits, and derive distances without the need for calibration. For benchmark-grade eclipsing bina...
{ "timestamp": "2020-10-06T02:39:33", "yymm": "2006", "arxiv_id": "2006.16951", "language": "en", "url": "https://arxiv.org/abs/2006.16951" }
\section{Introduction} Satellite Earth observation (EO) data can provide critical, relevant, and timely information in support of agricultural monitoring and food security \citep{BeckerReshef2019,NationalAcademies2019}. EO can enable crop yield assessment and forecasting \citep{Becker2010,Franch2015,Franch2017,Lobell2...
{ "timestamp": "2020-07-01T02:21:36", "yymm": "2006", "arxiv_id": "2006.16866", "language": "en", "url": "https://arxiv.org/abs/2006.16866" }
\section{Introduction} \input{01_introduction} \section{Related Work} \input{02_related_work} \section{FHIR Transformation} \input{03_FHIR} \section{Patient Diagnosis Prediction} \input{04_prediction_model} \section{Experiments and Results} \input{05_experiments} \section{Conclusion, Limitations, and Future Work} ...
{ "timestamp": "2020-07-01T02:22:44", "yymm": "2006", "arxiv_id": "2006.16926", "language": "en", "url": "https://arxiv.org/abs/2006.16926" }
\section{INTRODUCTION} Behavioral economists have argued for years that the traditional model of \emph{homo economicus}---% an agent who is always rational and behaves optimally---is misguided. There is a lot of experimental work backing up their claims (see, e.g., \cite{Thaler15}). Recent work has argued that perhaps...
{ "timestamp": "2020-07-01T02:23:27", "yymm": "2006", "arxiv_id": "2006.16950", "language": "en", "url": "https://arxiv.org/abs/2006.16950" }
\section{Introduction} For any complex variable $x$, define the shifted-factorial to be \[(x)_{0}=1\quad \text{and}\quad (x)_{n} =x(x+1)\cdots(x+n-1)\quad \text{when}\quad n\in\mathbb{N}.\] In 1997, Van Hamme \cite[(H.2)]{Hamme} conjectured that \begin{equation}\label{eq:hamme} \sum_{k=0}^{(p-1)/2}\frac{(1/2)_k...
{ "timestamp": "2020-07-01T02:22:50", "yymm": "2006", "arxiv_id": "2006.16929", "language": "en", "url": "https://arxiv.org/abs/2006.16929" }
\section{Introduction} Time-harmonic solutions to the wave equation can be computed in the frequency or in the time domain. In the frequency domain, a discrete version of the Helmholtz equation is solved. In the time domain, the periodic solutions to a discrete wave equation with time-harmonic forcing term are sought...
{ "timestamp": "2020-07-01T02:21:30", "yymm": "2006", "arxiv_id": "2006.16861", "language": "en", "url": "https://arxiv.org/abs/2006.16861" }
\section{Introduction } Topological materials are among the most intensely researched current topics, and encompass not just topological insulators~\cite{kane2005quantum,kane2005z,PhysRevLett.96.106802,bernevig2006quantum, fu2007topological,PhysRevLett.106.106802, hsieh2012topological,tanaka2012experimental,dziawa2012t...
{ "timestamp": "2020-12-11T02:21:20", "yymm": "2006", "arxiv_id": "2006.16851", "language": "en", "url": "https://arxiv.org/abs/2006.16851" }
\section{Introduction} In the late 19th century, the theory of classical mechanics experienced several issues in reporting the physical phenomena of light masses and high velocity microscopic particles. In 1920s, Bohr’s atomic theory \cite{bohr1928quantum}, Heisenberg’s discovery of quantum mechanics \cite{robertson192...
{ "timestamp": "2020-07-01T02:24:39", "yymm": "2006", "arxiv_id": "2006.16989", "language": "en", "url": "https://arxiv.org/abs/2006.16989" }
\section{Appendix} \label{appendix} \subsection{Additional Evaluation Results} \begin{table}[H] \centering \begin{tabular}{|c|c|c|c|} \hline Measure & Monitoring & Analysis \\ \hline \hline Avg. Response Time & 172.97ms & 136.30ms \\ \hline Avg. KS-Test & -- & 0.1467 \\ \...
{ "timestamp": "2020-07-01T02:23:30", "yymm": "2006", "arxiv_id": "2006.16953", "language": "en", "url": "https://arxiv.org/abs/2006.16953" }
\section{Introduction} Black hole pair creation has been an interesting subject, in the past few decades, partly because it leads to a deeper understanding of the black hole entropy~\cite{garfinkle1991,garfinkle1994,hawking1995,booth1998}. In fact, it has been shown in~\cite{garfinkle1994} that the pair production amp...
{ "timestamp": "2021-03-24T01:24:04", "yymm": "2006", "arxiv_id": "2006.16983", "language": "en", "url": "https://arxiv.org/abs/2006.16983" }
\section*{Results} \subsection*{Fitting a Logistic Regression Model} We used the training dataset with 351 patients without missing any values of the three important features (i.e., LDH, lymphocyte, and hs-CRP) to fit a step-wise logistic regression model with all the second-order interaction items. We used the coeffic...
{ "timestamp": "2020-07-01T02:23:16", "yymm": "2006", "arxiv_id": "2006.16942", "language": "en", "url": "https://arxiv.org/abs/2006.16942" }
\section{Introduction} Control Barrier Functions (CBFs) have proven to be effective at enforcing safety in nonlinear systems. The goal of this paper is to introduce a new form of CBFs that are suitable for feedback systems where the controller is defined by a differential equation \cite{Isidori90}, i.e., integral con...
{ "timestamp": "2020-07-09T02:03:27", "yymm": "2006", "arxiv_id": "2006.16936", "language": "en", "url": "https://arxiv.org/abs/2006.16936" }
\section{Introduction} \input{content.tex} \subsection*{Philosophy} Type theories are typically presented by systems of natural deduction rules describing the inductive structure of the theory. Models of the type theory will therefore have corresponding structure. The observation that motivates our approach may be...
{ "timestamp": "2020-07-01T02:23:23", "yymm": "2006", "arxiv_id": "2006.16949", "language": "en", "url": "https://arxiv.org/abs/2006.16949" }
\section{Introduction} In this paper, we prove the quenched homogenization of the equation \begin{equation}\label{intro_eq}-\nabla\cdot a(\nicefrac{x}{\varepsilon},\o)\nabla u^\varepsilon+\frac{1}{\varepsilon}b(\nicefrac{x}{\varepsilon},\o)\cdot \nabla u^\varepsilon=f\;\;\textrm{in}\;\;U\;\;\textrm{with}\;\;u^\varepsi...
{ "timestamp": "2020-07-29T02:22:00", "yymm": "2006", "arxiv_id": "2006.16892", "language": "en", "url": "https://arxiv.org/abs/2006.16892" }
\section{Details of the calculations for Si} First, we compute the self-consistent potential and Kohn-Sham states on a $12\times12\times12$ Monkhorst-Pack {\bf{k}}-point grid using DFT and lattice-dynamical properties with DFPT\cite{baroni2001phonons} on a $3\times3\times3$ {\bf{q}}-point grid, as implemented in the Q...
{ "timestamp": "2020-07-14T02:03:49", "yymm": "2006", "arxiv_id": "2006.16954", "language": "en", "url": "https://arxiv.org/abs/2006.16954" }