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|---|---|
\section{Online Resources}
\begin{itemize}
\item \href{https://www.khanacademy.org/math/multivariable-calculus}{Khan Academy - Multivariable Calculus}
\item \href{http://tutorial.math.lamar.edu/Classes/CalcIII/CalcIII.aspx}{Paul's Online Notes - Calc III}
\item \href{https://www.youtube.com/playlist?list=PLF83D7... | {
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% declare document class and geometry
\documentclass[12pt]{article} % use larger type; default would be 10pt
\usepackage[margin=1in]{geometry} % handle page geometry
\input{../header.tex}
\title{Astro 270 -- Astrophysical Dynamics -- Lec01-02}
\author{UCLA, Fall 2014}
\date{\formatdate{02}{10}{2014}} % Activate to di... | {
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\chapter{Installation}
This chapter shows how {\ViennaGrid} can be integrated into a project and how
the examples are built. The necessary steps are outlined for several different
platforms, but we could not check every possible combination of hardware,
operating system, and compiler. If you experience any trouble, pl... | {
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\documentclass[10pt]{sigplanconf}
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\usepackage{amssymb}
\usepackage{url}
\usepackage{color}
\usepackage{multirow}
\setlength{\textfloatsep}{8pt}
\newcommand{\Value}{\mathbf{value}}
\newcommand{\Any}{\mathbf{any}}
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\subsection{What is DevOps?}
A definition of Research Software Engineering Operations (RSE-ops) can best be derived by first explaining the philosophy behind DevOps \cite{aws} is a term that refers to best practices to bridge development and operations. It was coined in 2008 \cite{devops-paper}, and has grown out of a... | {
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Development Release Series 6.5}\label{sec:History-6-5}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
This is the development release series of Condor,
The details of each version are described below.
%%%%%%%%%%%%%... | {
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% !Tex root = checkedc.tex
\chapter{Bounds declarations for structure types}
\label{chapter:structure-bounds}
This chapter extends reasoning about bounds to objects with structure
types by introducing bounds declarations for structure members.
Structure types may have members with \arrayptr\ types. Those
members must... | {
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Beamer Presentation
% LaTeX Template
% Version 1.0 (10/11/12)
%
% This template has been downloaded from:
% http://www.LaTeXTemplates.com
%
% License:
% CC BY-NC-SA 3.0 (http://creativecommons.org/licenses/by-nc-sa/3.0/)
%
% Modified by Jeremie Gillet in November 2015 to make... | {
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\chapter{Auxiliary-Field Quantum Monte Carlo}
\label{chap:afqmc}
The AFQMC method is an orbital-space formulation of the imaginary-time propagation algorithm. We refer the reader to one of the review articles on the method \cite{AFQMC_review,PhysRevLett.90.136401,PhysRevE.70.056702} for a detailed description of the al... | {
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\chapter{The greatness of Rudrākṣa}
Sūta said:
1. O sage Śaunaka, highly intelligent, of the form of Śiva, noble-minded, please
listen to the greatness of \tl{rudrākṣa}. I shall explain it briefly.
2. \tl{Rudrākṣa} is a favourite bead of Śiva. It is highly sanctifying. It
removes all sins by sight, contact and \tl{j... | {
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\section{Loss functions for point predictions}
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\section{201512-2}
\input{problem/6/201512-2-p.tex} | {
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\chapter*{Abstract}
\chapterbelowskip
\fixme{English abstract here}
\vfill\null
| {
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Carlos Santos %
% ECE 351-51 %
% Lab 1 %
% 1/28/2020 %
% %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\documentclass[12pt]{article}
% Language and font encoding
\usepackage[english]{babel}
\usepackage[utf8x... | {
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\section{Package Overview }
%
\pagenumbering{arabic}
%
\setcounter{secnumdepth}{5}
\setlength{\parskip}{0.5em}
%
The Message Passing Envionment Utility ({\tt mpeu}) is a library that
was designed and developed at the Data Assimilation Office (DAO) to
support its data assimilation system.
It sits on top of vendors util... | {
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%%%%%%%%%%%%%%%%%%%%%%% file typeinst.tex %%%%%%%%%%%%%%%%%%%%%%%%%
%
% This is the LaTeX source for the instructions to authors using
% the LaTeX document class 'llncs.cls' for contributions to
% the Lecture Notes in Computer Sciences series.
% http://www.springer.com/lncs Springer Heidelberg 2006/05/04
%
% It ... | {
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\section{Compact and Locally Compact Spaces}
\subsection{Compact Spaces}
\paragraph{2.}
I further assume that $X$ is Hausdorff.
\begin{proof}
Assume, to obtain a contradiction, that $F_n = K_n\setminus O \ne\varnothing$
for every $n$. Since $F_n \supset F_{n+1}$, $\{F_n\}$ is collection of closed
subsets of c... | {
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\chapter{Methods and Constructors}\label{refmethcon}
\index{Methods,}
\index{Methods,invocation of}
\index{Parentheses,in method calls}
\index{Comma,in method calls}
\index{,}
Instructions in \nr{} are grouped into \emph{methods}, which are
named routines that always belong to (are part of) a \emph{class}.
\index{R... | {
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\documentclass[14pt]{article}
\usepackage{fancyhdr}
\usepackage{extramarks}
\usepackage{amsmath}
\usepackage{amsthm}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{tikz}
\usepackage[plain]{algorithm}
\usepackage{algpseudocode}
\usepackage{enumitem}
\usepackage{relsize}
\usepackage{scrextend}
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\documentclass[oneside]{article}
\usepackage[margin=1in]{geometry}
\usepackage{mathpazo,graphicx,hyperref}
\hypersetup{
colorlinks = true, %Colours links instead of ugly boxes
urlcolor = blue, %Colour for external hyperlinks
linkcolor = blue, %Colour of internal links
citecolor = red %Colour of cit... | {
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\section{Summary}
\label{sec:summary}
\begin{frame}{Multigroup Neutron Diffusion Equation}
\begin{equation}
\label{eq:multigroup_diffusion}
\grad \cdot \current_g(\vr) + \Sigma_{r,g}(\vr) \phi_g(\vr)=
\frac{\chi_g(\vr)}{\lambda}
\sum_{g'=1}^{G} \nu\Sigma_{f,g'}(\vr) \phi_{g'}(\vr) +
... | {
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\chapter{Log}
The logging facility itself is platform specific since the
default log interface depends on the target system.. The interface is
defined platform independently in {\em Log.h}.
The platform independed formatting is located in \verb|common/Log.cc|
and tghe platform, specific ctor ist located in the platfo... | {
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\documentclass[a4paper]{article}
\usepackage[english]{babel}
\usepackage[utf8x]{inputenc}
\usepackage{amsmath}
\usepackage{graphicx}
\title{MATH 542 Homework 6}
\author{Saket Choudhary\\skchoudh@usc.edu}
\begin{document}
\maketitle
\section*{Problem 1}
\subsection*{Problem 1a}
To find: $f_{y_2,y_4}(y_1,y_3) = \int... | {
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\documentclass[10pt,letterpaper]{article}
\usepackage[top=0.85in,left=2.75in,footskip=0.75in]{geometry}
% amsmath and amssymb packages, useful for mathematical formulas and symbols
\usepackage{amsmath,amssymb}
% Use adjustwidth environment to exceed column width (see example table in text)
\usepackage{changepage}
% ... | {
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\section{Determinants}
\begin{definition}
Let $A \in M_{n \times n} (F)$. If $n =1$, let $A=(A_{11})$ and we define $\text{det}(A) = A_{11}$. For $n \geq 2$, $\text{det}(A)$ (or $\determinate{A}$) is defined as
\begin{equation}
\determinate{A} = \sum_{j=1}^n (-1)^{i + j} A_{ij} \times \determinate{\tilde{A}_{ij}}
... | {
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\section{Future Work}
As mentioned earlier, \abcd can be used along with other primitives in order to form more complex contracts. Depending on the application-specific domain, the current structure of \abcd might be either sufficient or not. In a future work, we aim to customize this structure to be fully compatible ... | {
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% Title: Dtao Dam Forest Monastery
% Author: Ajahn Jayasāro
\chapterAuthor{Ajahn Jayasāro}
\chapterNote{An interview conducted by Tan Paññāvuddho.}
\chapter{Dtao Dam Forest Monastery}
\tocChapterNote{By \theChapterAuthor. An interview conducted by\newline Tan~Paññāvuddho.}
\markright{\theChapterAuthor}
Dtao Dam Fores... | {
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%%%%%%%%%%%%%%%%%%%% author.tex %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% sample root file for your "contribution" to a contributed volume
%
% Use this file as a template for your own input.
%
%%%%%%%%%%%%%%%% Springer %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% RECOMMENDED %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
... | {
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\documentclass{article}
\usepackage[utf8]{inputenc}
%\usepackage[T1]{fontenc}
\usepackage{tikz}
\usepackage{amsthm}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{mathtools}
\usepackage{graphicx}
\newtheorem*{definition*}{Definition}
\newtheorem*{property*}{Property}
\newcommand\sbullet[1][.5]{\mathbin{\vcenter{... | {
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\section{32. The undo tree}
Vim provides multi-level undo.
If you undo a few changes and then make a new change you create a branch in the undo tree.
This text is about moving through the branches.
%\localtableofcontentswithrelativedepth{+1} % I couldn't get this to work TMC
\etocsetnexttocdepth{2} % This produces the ... | {
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\chapter*{Acknowledgements}
\thispagestyle{empty}
I would like to express my profound gratitude to all the people and institutions that made possible this doctoral thesis.
First to Dr. Mammen, the director of this thesis and my mentor, for all his support, patience, continuous teaching and great advice. None of all th... | {
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\section{Local properties}
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\begin{figure*}[htbp]
\centering
\subfloat[Runtime.]{\includegraphics[width=0.4\textwidth]{figs/montage_turn-around-new.pdf}
\label{fig:montage_turnaround-new}}
\subfloat[Core-hours.]{\includegraphics[width=0.4\textwidth]{figs/montage_core-hour-new.pdf}
\label{fig:montage_core-hour-new}}
\caption{\small Montage... | {
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\chapter*{Abbreviations} \addcontentsline{toc}{chapter}{Abbreviations}
\begin{tabular}{ll}
EX & Here is the example of abbreviations\\
3D & Three-dimensional\\
AR & Augmented Reality\\
VR & Virtual Reality\\
CPU & Central Processing Unit\\
GPU & Graphics Processing Unit
\end{tabular}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Programming/Coding Assignment
% LaTeX Template
%
% This template has been downloaded from:
% http://www.latextemplates.com
%
% Original author:
% Ted Pavlic (http://www.tedpavlic.com)
%
% Note:
% The \lipsum[#] commands throughout this template generate dummy text
% to fill t... | {
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\chapter{Kinematics of Fluid Flow}\label{c2}
\section{Specification of the fluid flow}\label{s1}
\begin{itemize}
\item Eulerian description of a fluid flow is similar to the field description in electrodynamics. We specify various dynamical variables as functions of $\vec{x}$ and $t$. The flow is
described by the Eule... | {
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\documentclass[12pt]{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{geometry}
\usepackage{enumerate}
\usepackage{natbib}
\usepackage{float}%稳定图片位置
\usepackage{graphicx}%画图
\usepackage[english]{babel}
\usepackage{a4wide}
\usepackage{indentfirst}%缩进
\usepackage{enumerate}%加序号
\usepackage{multirow}%合并行
\ti... | {
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\documentclass{article}
\usepackage{amsmath}
\usepackage[margin=1.0in]{geometry}
\usepackage{xcolor}
\begin{document}
\noindent
Does $\displaystyle \sum_{n=1}^\infty \frac{n^n}{n!}$
diverge, converge absolutely, or converge conditionally?
\subsection*{Solution}
\begin{align*}
L&=\lim_{n \to \infty} \l... | {
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% This example An LaTeX document showing how to use the l3proj class to
% write your report. Use pdflatex and bibtex to process the file, creating
% a PDF file as output (there is no need to use dvips when using pdflatex).
% Modified
\documentclass{l3proj}
\usepackage{subfiles}
\usepackage{nameref}
\begin{document}
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%!TEX root = ../notes.tex
\section{April 20, 2022}
\subsection{Short Vectors}
\begin{ques*}
How short is the shortest vector in a lattice $L$?
\end{ques*}
A more general question we could ask:
\begin{ques*}
When does some region contain a nontrivial lattice point?
\end{ques*}
\begin{theorem}[Minkowski's Theor... | {
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\chapter{Security and privacy}
\label{sec:security}
The following sections discuss the security enhancements employed by \emph{HyCube}, which are essential elements of real peer-to-peer systems, as well as the privacy features that provide anonymous request-response communication, maintaining the identities of both c... | {
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\PassOptionsToPackage{unicode=true}{hyperref} % options for packages loaded elsewhere
\PassOptionsToPackage{hyphens}{url}
\documentclass[11pt,ignorenonframetext,aspectratio=169]{beamer}
\IfFileExists{pgfpages.sty}{\usepackage{pgfpages}}{}
\setbeamertemplate{caption}[numbered]
\setbeamertemplate{caption label separator}... | {
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\chapter{``Zihintpause'' Pause Hint, Version 1.0}
\label{chap:zihintpause}
The PAUSE instruction is a HINT that indicates the current hart's rate of
instruction retirement should be temporarily reduced or paused. The duration of its
effect must be bounded and may be zero. No architectural state is changed.
\begin{c... | {
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\section{Transfer Learning}
\begin{figure*}
\centering
\includegraphics[width=\textwidth]{figures/transfer_taxo}
\caption{Transfer learning taxonomy.}\label{fig:taskonomy}
\end{figure*}
We follow the notations in the survey by~\cite{pan2009survey}.
A \emph{domain} is a pair $\cD = (\cX,P(X))$, where $\cX$ is a fea... | {
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\subsection{Intel Lab Data}
\label{sec:intel-lab-data-evaluation}
We also evaluated our outlier detection framework on sensor data from the publicly available Intel Lab Data set\footnote{\url{http://db.csail.mit.edu/labdata/labdata.html}}. The Intel Lab Data contains data collected from 54 sensors spread throughout th... | {
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%!TEX root = ../article.tex
\section{Background}
\label{sec:background}
In this section we will provide an overview of the relevant related work to solve the challenges of
converging the Internet of Things and Utility Computing. The most relevant concepts necessary to
understand our proposal will be described througho... | {
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\documentclass[12pt]{amsart}
% PACKAGES
\usepackage{url}
\usepackage{amsmath}
\usepackage{amsthm}
\usepackage{amssymb}
\usepackage{fancyvrb}
% for underscores https://texfaq.org/FAQ-underscore
\usepackage{lmodern}
\usepackage[T1]{fontenc}
\usepackage{textcomp}
\usepackage[
bookmarksopen,
bookmarksdepth=2,
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\documentclass[conference]{IEEEtran}
% This package serves to balance the column lengths on the last page of the document.
% please, insert \balance command in the left column of the last page
\usepackage{balance}
%% to enable \thank command
\IEEEoverridecommandlockouts
%% The usage of the following packages... | {
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%
% File acl2019.tex
%
%% Based on the style files for ACL 2018, NAACL 2018/19, which were
%% Based on the style files for ACL-2015, with some improvements
%% taken from the NAACL-2016 style
%% Based on the style files for ACL-2014, which were, in turn,
%% based on ACL-2013, ACL-2012, ACL-2011, ACL-2010, ACL-IJCNLP-20... | {
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\section*{Reduction}
The \emph{reducer} $\Rightarrow$ is a partial function from
programs/statements/expressions to
programs/statements/expressions (with slight abuse of notation
via overloading)
and $\Rightarrow^*$ is its reflexive transitive closure.
A \emph{reduction} is a sequence of programs
$p_1 \Rightarrow \cdo... | {
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\documentclass[]{beamer} % use setting 'handouts' to ignore overlay specifications, 'draft' to
\usepackage[utf8]{inputenc}
\usetheme{Madrid} % beamer theme, can change
\usepackage{fancyvrb}
\usepackage{etoolbox}
\usepackage{tikz}
\usepackage[compat=1.1.0]{tikz-feynman}
\usepackage{ifluatex}
% example colors
\defineco... | {
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\section{Other attacks}
Attacks against discrete logarithm involve finding the integer $x$ for a given $\alpha$ and $\beta$ in $G$ such that:
$$\beta = \alpha \circ \alpha \circ \dots \circ \ alpha = \alpha^x$$
In 1997, a lower bound for discrete logarithms was given: any generic algorithm that solves with high probab... | {
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\subsection{Scaling images}
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\section{pa-monad}
\label{sec:pa-monad}
\begin{enumerate}
\item debug \\
tags file
\begin{bluetext}
"monad_test.ml" : pp(camlp4o -parser pa_monad.cmo)
camlp4o -parser pa_monad.cmo monad_test.ml -printer o
(** filter *)
let a = perform let b = 3 in b
let bind x f = f x
let c = perform c <-- 3 ; c
... | {
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\documentclass{beamer}
\usepackage{xcolor}
\newcommand{\red}[1]{\color{red}#1}
\usetheme{Madrid} %This command sets the theme for the slideshow.
% There are many themes available. Check the documentation of beamer for a complete list. You can also modify them and produce your own.
% Here is a short list that you can ... | {
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\title{\textit{Planck} 2013 Results: Cosmological Parameter Tables}
%\titlerunning{Planck Cosmological Parameter Tables}
\maketitle
\begin{abstract}
These tables summarize the results of \textit{Planck} nominal mission parameter estimation exploration results. They include \textit{Planck} data in combination with WM... | {
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\documentclass{subfile}
\begin{document}
\section{IMO}\label{sec:imo}
\begin{problem}[IMO $1995$, problem $2$]
Let $a,b,c$ be real numbers such that $abc=1$. Prove that
\begin{align*}
\dfrac{1}{a^{3}(b+c)}+\dfrac{1}{b^{3}(c+a)}+\dfrac{1}{c^{3}(a+b)}
& \geq\dfrac{3}{2}
\end{align*}
\end{pro... | {
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\section{Introduction}
\label{sec:introduction}
Type errors are a common stumbling block for students
trying to learn typed functional languages like \ocaml\
and \haskell.
%
Consider the ill-typed @fac@ function on the left in
Figure~\ref{fig:factorial}.
%
The function returns @true@ in the base case (instead of @1@),... | {
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\documentclass[letterpage,foldmark,10pt]{leaflet}
\usepackage{lettrine}
\usepackage{minted}
\usepackage{framed}
\usepackage{hyperref}
\title{Handout for Code Your Own Site}
\author{}
\date{}
\pagenumbering{gobble}
\begin{document}
\maketitle
\section{Getting Started}
Welcome to the class!
The first step is to dow... | {
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% \section{201809-4}
% \input{problem/14/201809-4-p.tex} | {
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\section{Formulary: Queueing Theory}
\label{sec:Formulary-Queueing-Theory}
\subsection{Foundations}
\begin{description}
\item [Inter-arrival time]
\begin{equation}
\expected{\tau} = \frac{1}{\lambda}
\end{equation}
\item [Service time]
\begin{equation}
\expected{S} = \frac{1}{\mu}
\end{equation}
... | {
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\documentclass[12pt]{hitec}
\usepackage{fancyvrb}
\usepackage{hyperref}
\title{Problem set 1}
\author{Joe Armstrong}
\date{}
\begin{document}
\maketitle
\tableofcontents
\section{Introduction}
These problems are for lectures E1 and E2.
Additional material can be found in the course book
{\sl Programming Erlang, ... | {
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\section{Empirical Studies on Performance Bugs}
\label{sec:2_study}
Recently, several empirical studies have been conducted for real-world
performance bugs. They all have different focuses.
\citet{Zaman2012MSR} compare the
qualitative difference between performance bugs and non-performance bugs
across impact, contex... | {
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\documentclass[revision-guide.tex]{subfiles}
%% Current Author: PS
\setcounter{chapter}{0}
\begin{document}
\chapter{Mechanics}
\begin{content}
\item scalars and vectors
\item moment of a force
\item kinematics
\item Newton’s laws of motion
\item conservation of linear momentum
\item density
\item pressure
\end{content... | {
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\chapter{Edward Sapir}
\label{ch.sapir}
As observed in the preceding chapter, {\Boas} continued to play a leading
role in the development of American linguistics right up until his
death in 1942. His influence was exerted through his direction of
various funding agencies and organs of publication and, more
generally, ... | {
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% LaTeX Template
% Version 1.1 (1/8/17)
%
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% http://www.LaTeXTemplates.com
%
% Original author:
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\part{Lecture 08: Supervised Learning}
\author{Wilhelm Kirchg\"assner}
\title[RL Lecture 08]{Lecture 08: Function Approximation \\with Supervised Learning}
\date{}
\frame{\titlepage}
\frame{\frametitle{Table of Contents}\tableofcontents}
\section{Motivation and Background}
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\title{Spline Math}
\author{James Kuszmaul}
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\section{Introductions}
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% language=uk
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\section{Gaussian elimination}
Gaussian elimination is an algorithm for solving systems of linear equations.
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\documentclass[color=usenames,dvipsnames]{beamer}\usepackage[]{graphicx}\usepackage[]{color}
% maxwidth is the original width if it is less than linewidth
% otherwise use linewidth (to make sure the graphics do not exceed the margin)
\makeatletter
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Cloud computing is fostering a model of
application development that combines authored code with functionality
provided by extant web services. Consumer-targeting applications
(particularly those designed for mobile platforms) interact with highly
scalable and reliable ``back-end'' web services that are deployed
in ... | {
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\documentclass[12pt, english]{article}
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\section{Conclusions \& Next Steps}\label{sec:summary}
This \tnote{} reports on our ongoing effort to develop a modified version of the
{\tt legacypipe} photometric pipeline which is optimized for large galaxies,
with the ultimate goal of producing a Legacy Survey Large Galaxy Atlas (LSLGA).
In addition to enabling de... | {
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\section{Conclusion}
In this dissertation, we present three research projects --- 1) an edge-based traffic
load balancing system (i.e., Presto) for datacenter networks, 2) virtualized congestion
control technique for multi-tenant clouds (~\acdc TCP) and 3) low latency software rate
limiters for cloud networks. All... | {
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\chapter{C Client API}
\label{chap:api:c-client}
The HyperDex Client library, \code{libhyperdex-client} is the de facto way to
access a HyperDex cluster for storing and retrieving data. All data-store
operations are provided by the this library.
\section{Building the HyperDex C Binding}
\label{sec:api:c:client:build... | {
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\section{Introduction}
\label{s:intro}
In this paper we consider reproducibility in the computational sciences. We
interpret the computational sciences as including computer science, but also any
other science in which computational work plays an important role, such as
physics, biology or psychology. The central hyp... | {
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\section{\module{StringIO} ---
Read and write strings as files}
\declaremodule{standard}{StringIO}
\modulesynopsis{Read and write strings as if they were files.}
This module implements a file-like class, \class{StringIO},
that reads and writes a string buffer (also known as \emph{memory
files}). See the des... | {
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\documentclass[hidelinks__VERSION__]{adamyi-cv}
\begin{document}
\revision{__REVISION__}
\footertext{Compiled on \today\ at \DTMcurrenttime. Latest version at \href{https://adamy.io/cv}{https://adamy.io/cv}; source code at \href{https://github.com/adamyi/cv}{github.com/adamyi/cv} under MIT license.}
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\documentclass[epsfig,10pt,fullpage]{article}
\newcommand{\LabNum}{6}
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\centerline{\huge Embedded Systems}
~\\
\centerline{\huge Laboratory Exercise \LabNum}
~\\
\centerline{\large Introduction to Graphics and Animat... | {
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%---------------------------Oddy-----------------------------
\section{Oddy}
Let $\vec L_4 = \vec L_0$. The Oddy metric is then defined as
\[
q = \max_{i\in\{0,1,2,3\}}\left\{
\frac{(\normvec{L_i}^2 - \normvec{L_{i+1}}^2)^2
+ 4 (\vec L_i \cdot \vec L_{i+1})^2}
{2 \normvec{N_{i+1}}^2 }
\right\}.
\]
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\section{Background: Traditional Blockchain Scalability}\label{sec:background}
This section discusses how traditional blockchains perform with respect to scalability, with an emphasis on Bitcoin.
\subsection{Technical Problem Description}
One way to define a blockchain is \emph{a distributed database (DB) that solves... | {
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\section{Question 3}
We use lead controller to fix transient mode and solve problem.
\newpage
\begin{itemize}
\item system step responde
\begin{figure}[H]
\caption{system step responde}
\centering
\includegraphics[width=12cm]{../Figure/Q3/Q3_system_respond.png}
\end{figure}
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% !TEX root = ../../../proposal.tex
This chapter is adapted from a joint publication that originally appeared in
the proceedings of the 22nd ACM Conference on Computer and Communications
Security (CCS~'15)~\cite{logjam-2015}. After the discovery of the FREAK
attack by Beurdouche et al.~\cite{freak-attack-2015}, there ... | {
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\chapter{A SAMPLE APPENDIX}
\label{app:app1}
Just put in text as you would into any chapter with sections and
whatnot. That's the end of it.
More details on how to use these specific packages are available along
with the documentation of the respective packages. | {
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\documentclass[]{book}
\usepackage{lmodern}
\usepackage{amssymb,amsmath}
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\usepackage{fixltx2e} % provides \textsubscript
\ifnum 0\ifxetex 1\fi\ifluatex 1\fi=0 % if pdftex
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\chapter{TUTORIALS ON OBJECT EDITING}
\section{Object Editing a Six-Sided Polyhedron}
This tutorial illustrates the application of the {\bf OBJ EDIT} state to
the ``arb8'' primitive. The editing of the arb8 illustrates the
absolute movement of the points.
\begin{figure}
\centering \includegraphics{eo-start.ps}
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This chapter describes the methodology followed in the development of this thesis.
This chapter comprises the following sections: Section \ref{sec:ch3-tools} describes the computational tools utilized in this work, Section \ref{sec:ch3-math} presents Moltres' mathematical basis, Section \ref{sec:ch3-bench} outlines th... | {
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% !TEX root = ../bigmpi.tex
\section{Related Work}
As noted in \S\ref{sec:intro} and \S\ref{sec:mpi4}, the MPI Forum has made efforts
to address count-safety issues in the MPI standard.
Both MPICH and OpenMPI have made significant strides toward count-safety
at the implementation level. MPICH currently passes all o... | {
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\chapter{Methodology}
\label{ch:methodology}
\begin{itemize}
\item Expound \#4 (\emph{What is your idea to address this gap?}), \#5 (\emph{Why do you think your idea will work?}), and \#10 (\emph{Introduce the idea on how to solve this gap}).
\item Propose a solution. Use math models, diagrams, and algorithms ... | {
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\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usepackage{hyperref}
\hypersetup{
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\setlength{\headheight}{15pt}
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%!TEX root = ms.tex
\section{Performance of the selectors}
\label{sec:simulation}
\subsection{Some other selectors}
In this section we use computer simulations to explore the behavior of different criteria when used for model selection under linear restrictions (variable selection and general linear restrictions). In a... | {
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\begin{appendices}
\chapter{Block Diagrams} \label{App:blockdiagrams}
\begin{figure}[ht!]
\centering
\includegraphics[width=6in]{block_diagrams/full.png}
\caption{Full block diagram}
\end{figure}
\begin{figure}[ht!]
\centering
\includegraphics[width=3in]{block_diagrams/video.png}
\caption{Display... | {
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\chapter{Please nominate me for prizes}
Please nominate me for this book and other texts
at my site \url{https://mathematics21.org} for math prizes.
In particular, this page gives instructions how to nominate
me for Abel Prize:
\url{https://mathematics21.org/nominate-me-for-abel-prize/}
I also need a recommendation... | {
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\chapter{Hull-White Single-Factor Model}
\label{chapter:hullwhitemodel}
The following chapter will study the Hull-White Single-Factor Model to understand the algorithm behind it and prepare a strategy for a parallel implementation. It will first introduce a general overview of how a trinomial tree is being constructed,... | {
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