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\title{Physics 1: Class 4}
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%% the "Parts" lines successfully, hyperref
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\title{Principles of Robot\\ Autonomy}
\author{Joseph Lorenzetti, Marco Pavone}
\date{\today}
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\label{sec:data-fitting}
We can fit a triangular mesh, $\M$, to a set of data points, $\{\d_i; i=0 \ldots n-1\}$
by minimizing the sum of the $l_2$ distances from the points to the mesh:
\begin{equation}
f(\M) = \sum_{i=0}^{n-1} \| \d_i - \Pr_\M (\d_i) \|^2 ,
\end{equation}
where $\Pr_\M (\d_i)$ is the point on $\M$ c... | {
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\section{Exercise solutions: control flow} % (fold)
\label{sec:exercise_solutions_control_flow}
\begin{frame}\frametitle{For loops}
\framesubtitle{Problem}
Print the numbers 1 to 100 that are divisible by 5 but not by 3
\end{frame}
\begin{frame}\frametitle{For loops}
\framesubtitle{Solution}
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\documentclass{beamer}
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\documentclass[a4paper]{article}
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\section{Conclusions}
\label{results}
This last Section presents results obtained on the test sets.
We test the best multilayer perceptron and the best convolutional network found.
As stated on the first Section, the five test sets are made out of the
folds number five, seven, eight, nine and ten.
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\section{Confidence intervals}
Confidence Intervals follow the form:\\
(statistic) $\pm$ (critical value)(estimated standard deviation of statistic)\\
Let $\displaystyle ( E,(\mathbb{P}_{\theta })_{\theta \in \Theta })$ be a statistical model based on observations $X_{1} , \ldots X_{n}$ and assume $\displaystyle \... | {
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% Make sure we don't inherit an xtabular definition from a previous chapter
\tablehead{}
\tablefirsthead{}
\tabletail{}
\tablelasttail{}
\chapter{Adding Functions and Data Types}
Icon is designed so that new functions and data types can be added
with comparative ease. This appendix provides some guidelines for
modif... | {
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% Default to the notebook output style
% Inherit from the specified cell style.
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% Nicer default font (+ math font) than Computer Modern for most use cases
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% file: lamprop-manual.tex
% vim:fileencoding=utf-8:fdm=marker:ft=tex:spelllang=en
%
% Copyright © 2018,2020 R.F. Smith <rsmith@xs4all.nl>. All rights reserved.
% Created: 2018-05-13 23:48:04 +0200
% Last modified: 2021-05-25T17:15:50+0200
\newcommand{\twodigits}[1]{\ifnum#1<10 0\number#1\else\number#1\fi}
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%% vim: set spell spelllang=en:
\documentclass[runningheads]{llncs}
\usepackage[latin1]{inputenc}
\usepackage{graphicx}
\usepackage{xspace}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{stmaryrd}
\usepackage{ifpdf}
\usepackage[all]{xy}
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\documentclass{beamer}
\usepackage[utf8]{inputenc}
\defbeamertemplate{description item}{align left}{\insertdescriptionitem\hfill}
\usepackage{hyperref}
\hypersetup{
colorlinks=true,
linkcolor=blue,
filecolor=magenta,
urlcolor=cyan,
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%Information to be included in the title page:
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\documentclass{book}
\usepackage[pdftex]{graphicx}
\usepackage[pdftex]{hyperref}
\usepackage{fancyhdr}
%---------- fonts Type 1 -----------------
%\usepackage{times}
%\usepackage[T1]{fontenc}
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%------------------------Page set-up-----------------------------------------
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\section{201703-3}
\input{problem/10/201703-3-p.tex} | {
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\documentclass[letterpaper,10pt, draftclsnofoot,onecolumn]{IEEEtran}
\usepackage{graphicx}
\usepackage{amssymb}
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\section{Discussion}
The goal of this chapter is to provide an overview of both the theoretical and practical results and to give detailed comparisons and a trade-off analysis of the algorithms.
\subsection{Discussion of Theoretical and Practical Results}
Drawing back to the theoretical results from Table \ref{tab:al... | {
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%\documentclass[pageno]{jpaper}
\documentclass[12pt]{report}
\usepackage[normalem]{ulem}
\usepackage{graphicx}
\usepackage{caption}
%\usepackage{subcaption}
\usepackage{amsmath}
\usepackage{amssymb}
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\usepackage{booktabs}
\usepackage{geometry}
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\section{Experimental results}\label{sec:results}
\subsection{Testbed}
All of our performance results use a hardware testbed that consists of
two Intel Xeon E5 2440 v2 1.9GHz servers, each with 1 CPU socket and
8 physical cores with hyperthreading enabled.
Each target server has an Intel 10GbE X540-AT2 dual
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\subsection{Variance of the IV estimator}
In OLS we had:
\(\hat {\theta_{OLS}} = (X^TX)^{-1}X^Ty\)
\(Var [\hat {\theta_{OLS}}]=(X^TX)^{-1}X^T\Omega X(X^TX)^{-1}\)
With IV we have
\(\hat {\theta_{IV}} = (Z^TX)^{-1}Z^Ty\)
\(Var [\hat {\theta_{IV}}]=(Z^TX)^{-1}Z^T\Omega Z(Z^TX)^{-1}\)
We can use weighted least squa... | {
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% because we need to claim weird things
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\newtheorem{defn}{Definition}
%\newtheorem{lemma}{Lemma}
\newtheorem{thm}{Theorem}
\newtheorem{vita}{Vit\ae}
\newtheorem{qotd}{Quote of the Day}
\usepackage{algorithm}
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\
\section{SofaPython scene files}
It is possible, once the plugin is charged in runSofa, to load python script *.py files directly instead of xml *.scn files. This way, you can create scene graphs in a procedural way instead of a descriptive way.
An example of this is provided in the \textcode{examples/PythonScene.p... | {
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\iffalse
\subsubsection{Controllers}
\begin{figure}[H]
\centering
\includegraphics[width=0.8\textwidth]{./assets/p2/Controllers_1.png}
\end{figure}
A controller's purpose is to receive specific requests for the application.
The routing mechanism controls which controller receives which requests.
Frequently, each c... | {
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% Options for packages loaded elsewhere
\PassOptionsToPackage{unicode}{hyperref}
\PassOptionsToPackage{hyphens}{url}
\PassOptionsToPackage{dvipsnames,svgnames*,x11names*}{xcolor}
%
\documentclass[
]{krantz}
\usepackage{lmodern}
\usepackage{amssymb,amsmath}
\usepackage{ifxetex,ifluatex}
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\section{Status}
\paragraph*{Status of GSL-Library}
The gsl-library is since version 1.0 stable and for general use.
More information about it at \url{http://www.gnu.org/software/gsl/}.
\paragraph*{Status of this interface}
Nearly all modules are wrapped. A lot of tests are
covering various functionality. Please repo... | {
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% !TeX root = ../index.tex
\chapter{Web Services Technology}
A \textit{Web Service} is a service accessible on the Internet via the World Wide Web that people can interact with using electronic devices.
The underlying technology of Web Services is typically either \textit{AJAX} (Asynchronous JavaScript And XML) or \t... | {
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\section{\uppercase{Introduction}}\label{sec:introduction}
%Problem description
%Relevance of work / motivation
%Usages
% multiple sensor deployment for:
% active perception
% bin picking
% improve confidence in object recognition
% decide type, number and spatial distribution of sensors
% guide dynamic sensors
%... | {
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%==============================================================================
\chapter{Tables}
\label{sec:table}
%==============================================================================
\LaTeX{} file: \url{./guide_tables.tex}\\[1ex]
\noindent
You almost certainly have tables with results that you want to incl... | {
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%%%%% Point Pillar Lidar Deep Learning Face Finding %%%%%%
%%%%% Karissa Stisser, Zach Larson, Naseem Alfaqueh, Anjali Patil, Adrian Lindsey, Omar Rizk
\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage{graphicx}
\title{Point Pillar Lidar Deep Learning Face Finding}
\author{Karissa Stisser, Zach Larson, N... | {
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\section{Asymptotic Theory}
Asymptotic theory, large sample theory, or limit theory, deals with the question of the limiting behavior of sequences of random variables.
The notion of convergence for random variables is more involved than is usual for, for example, a sequence of numbers or functions in calculus. There... | {
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\subsection{Countermeasures}
\begin{frame}[t]
\begin{center}\Large Algebraic Security (1/3)\end{center}
\begin{columns}
\setlength{\leftmargini}{0.25cm}
\setlength{\leftmarginii}{0.5cm}
\column{0.1\linewidth}{}
\column{0.35\linewidth}{
{\large Security Model:}
\vspace{0.25cm}
\... | {
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\label{StateOfTheArt}
\chapter{State of the art}
In this chapter we will provide introduction into what agent-based models are and
how they are used in the context of social studies. We will provide an overview
of existing simulations platforms, and software particularly developed to simulate
a virtual classroom. We di... | {
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\documentclass[12pt]{extarticle}
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\usepackage{algorithm}
\usepackage{paralist}
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% =========================================
% COMMAND: _CALL
% =========================================
\newpage
\section{\_CALL}
\label{cmd:_CALL}
\paragraph{Syntax:}
\subparagraph{}
\texttt{\_CALL <name of block>}
\paragraph{Purpose:}
\subparagraph{}
Invokes the given \texttt{BLOCK}. See \autoref{chap:block}
on ... | {
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\setlength{\parindent}{1em}
\chapter{Acknowledgments}
Thanks first of all go to the authors of the textbooks here stitched together: P.D. Magnus for \emph{For All} X and Cathal Woods for \emph{Introduction to Reasoning}. My thanks go to them for writing the excellent textbooks that have been incorporated into this on... | {
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%!TEX root = soutenance_lei_2018.tex
\subsection{Panoramic view of the heat flux inside the vehicle}
\frame{\tableofcontents[currentsection,currentsubsection]}
\begin{frame}{Outline}
As a truck is normally huge, the homography transformation would then have a large deviation in the final thermal images.\\
\pau... | {
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%$Id:$
\documentclass[10pt]{article}
\usepackage{times}
\usepackage{epsfig,verbatim}
\usepackage{cite,mathptm}
\begin{document}
\title{Serverless architecture with Unikernels}
\author{
Gunjan Patel\\
{\it gunjanpatel.v@gmail.com}
}
\maketitle
\begin{abstract}
{\it
\input{abstract}
Not {\bf in} the abstract file!... | {
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%!TEX root = inversion.tex
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Copyright (c) 2003-2018 by The University of Queensland
% http://www.uq.edu.au
%
% Primary Business: Queensland, Australia
% Licensed under the Apache License, version 2.0
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\documentclass[12pt,letterpaper]{article}
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% Load hyperref package without putting lines around hyperlinks.
%\usepackage[hidelinks]{hyperref}
\PassOptionsToPackage{hyphens}{url}\usepackage[hidelinks]{hyperref}
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% Use only LaTeX2e, calling the article.cls class and 12-point type.
\documentclass[12pt,a4paper]{article}
\usepackage[english]{babel}
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\usepackage[parfill]{parskip}
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%!TEX root = ../report.tex
%
% Objectives
%
\section{Objectives}
\label{sec:objectives}
% ~1 page
%Clearly explain the project objectives.
% Develop a framework that allows...
% Develop an app for a smart place, abstracting
% beacons, think only in POI and their meaning
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\chapter{Values and Variables}
\label{VV-Chapter}
\textsc{Perspective}: No feature of the Icon programming language has
a greater impact on the implementation than untyped
variables --- variables that have no specific type associated with
them. This feature originated in Icon's predecessors as a result of a
desire for... | {
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%\def\draft{1}
\documentclass[11pt]{article}
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\usepackage{natbib,amssymb,amsthm,graphicx,verbatim,url,verbatim}
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\usepackage{url}
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%!TEX TS-program = xelatex
\documentclass[a4paper, svgnames, 12pt]{article}
% -- Imports ------------------------------------------------------------------
% ============
% = Packages =
% ============
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%% Einleitung.tex
%% $Id: einleitung.tex 61 2012-05-03 13:58:03Z bless $
%%
\chapter{Introduction}
\label{ch:Introduction}
%% ==============================
%% ==============================
\section{Motivation}
%% ==============================
\label{ch:Introduction:sec:Motivation}
\par{
In the last decades, digital... | {
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\documentclass[11pt,twocolumn]{amsart}
\setlength{\columnsep}{0.5cm}
\usepackage{amsfonts,amsthm,amssymb,amsmath,amsopn,float}
\usepackage{xifthen}
\usepackage{graphicx}
\usepackage{tikz,pgfplots}
\usepackage{epstopdf}
%\usepackage{hyperref}
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%!TEX root = report.tex
\chapter{Experiments}
\label{chp:experiments}
In this chapter we detail the experiments performed on the model described in
\fullref{chp:theorystuff} and discuss the respective results.
\section{First experiment}
\label{subsec:first}
% documentazione wrapfig: https://ctan.mirror.garr.it/mirro... | {
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%=============================================================================
\subsection{MoEDAL data storage in the GridPP DFC}
\label{sec:data}
%=============================================================================
%-----------------------------------------------------------------------------
\subsubsection... | {
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%---------------------------------------------------------------------
% This file provides a skeleton UCL DIS CDT report.
% \pdfinclusioncopyfonts=1
% This command may be needed in order to get \ell in PDF plots to appear. Found in
% https://tex.stackexchange.com/questions/322010/pdflatex-glyph-undefined-symbols-disap... | {
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\subsection{Trees}
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\section{Definition of vector spaces}
\label{sec:definition-vector-spaces}
\begin{outcome}
\begin{enumerate}
\item Develop the concept of a vector space through axioms.
\item Use the vector space axioms to determine if a set and its
operations constitute a vector space.
\item Encounter several examples of ... | {
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\documentclass[11pt,letterpaper]{article}
\usepackage{html}
\usepackage{charter}
\pagestyle{empty}
%
% GET THE MARGINS RIGHT, THE UGLY WAY
%
\topmargin 0.0in
\textwidth 6.5in
\textheight 9.0in
\columnsep 0.25in
\oddsidemargin 0.0in
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\title{Frequently Asked Questi... | {
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\section{Konverzija iz HDF5 u CSV format}
\label{sec:DodatakIzvlacenje}
\begin{figure}[H]
\lstset{style=mystyle}
\begin{lstlisting}[language=Python, basicstyle=\footnotesize]
"""
Alexis Greenstreet (October 4, 2015) University of Wisconsin-Madison
"""
class Song:
songCount = 0
def __init__(self, songID):
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\chapter{Introduction}
\lipsum[2-4]
\section{Motivation and Objectives}
\lipsum[1-2]
\section{Contributions from this Research}
\lipsum[1]
\subsection{Part I}
\lipsum[66]
\paragraph{Contribution Title}
\Blindtext[1][1]
\paragraph{Contribution Title}
\Blindtext[1][1]
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%\documentclass[a4paper,10pt]{article}
\documentclass{article}
\usepackage{epsfig,relsize,moreverb,fancyvrb,A4}
%\addtolength{\textwidth}{1cm}
\input{macros1}
\begin{document}
\author{Hans Petter Langtangen\thanks{Dept.~of Scientific Computing,
Simula Research Laboratory, and Dept.~of Informatics, University of Oslo.... | {
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\fancyhf{}
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\chead{Homework 1.4}
\rhead{Page \thepage}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% HEADER
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\documentclass[a4paper,twoside,12pt]{report}
\documentclass{article}
\usepackage[left=3cm,top=3cm,bottom=3cm,right=3cm,nofoot]{geometry}
% Alternat... | {
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\section*{GDSMill}
\label{sec:gdsMill_permission}
OpenRAM uses gdsMill, a GDS library written by Michael Wieckowski at
the University of Michigan. Michael gave us complete permission to use
the code. Since then, we have made several bug and performance
enhancements to gdsMill. In addition, gdsMill is no longer availab... | {
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\section[Asymptotic normality]{Theoretical results supporting the asymptotically normal \oos\ statistic}
\label{sec:1}
This section presents the new \oos\ statistic; first we give an
informal motivation of the statistic, then present the paper's key
assumptions in Section~\ref{sec:1a} and present our formal theoretica... | {
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\subsubsection{\lst{BigInt.toByte} method (Code 106.1)}
\label{sec:type:BigInt:toByte}
\noindent
\begin{tabularx}{\textwidth}{| l | X |}
\hline
\bf{Description} & Converts this numeric value to \lst{Byte}, throwing exception if overflow. \\
\hline
\bf{Parameters} &
\(\begin{array}{l l l}
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\section{Result}
\subsection{Distance Between Two Lasar Device}
\begin{table}[H]
\centering
\begin{tabular}{|l|c |c |c |}
\hline
\multicolumn{4}{|c|}{distance $S$ [mm] $\pm$ 1 [mm]} \\
\hline
S & Ruler Start Point & Ruler End Point & Calculated Length \\
\hline
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%use this package to set linespacing as desired
\usepackage{setspace}
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% This is a slightly modified template of the one built by
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% http://svmiller.com/blog/2016/02/svm-r-markdown-manuscript/
%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% Packages
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usepackage{amsmath}
\usepackage[margin=3cm]{geometry}
\usepackage{calc}
\usepackage{tikz}
\usetikzlibrary{shadows,fit}
% \usetikzlibrary fails because file is not in current directory, lazy to setup TEXINPUTS
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\addchap{Preface}
\begin{refsection}
Head-driven Phrase Structure Grammar (HPSG) is a declarative (or, as is often said,
constraint-based) monostratal approach to grammar which dates back to early 1985, when Carl Pollard
presented his Lectures on HPSG. It was developed initially in joint work by Pollard and Ivan Sag,
... | {
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\section{Library of transformations}
\begin{frame}{The library}
The library of transformations contains small transformation steps that are proven correct.
\begin{itemize}
\item Each transformation in here can be used as building block.
\item The library of transformations does not achieve comp... | {
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%!TEX root = ../thesis.tex
%*******************************************************************************
%****************************** Third Chapter **********************************
%*******************************************************************************
\chapter{Faser Experiment}
% ********************... | {
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% \paragraph{Summary:} \textit{This document provides information and instructions for preparing the full-length paper for the COMPOSITES 2017 Conference (September 20-22, 2017 in Eindhoven, The Netherlands).}
\paragraph{Summary:} \textit{Simulations based on the peridynamic theory are a promising approach to understa... | {
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\title{Self Organizing Systems Exercise 2}
\author{
Alexander Dobler 01631858\\
Thomas Kaufmann 01129115
}
\date{\today}
\documentclass[12pt]{article}
\usepackage{hyperref}
\usepackage{booktabs}
\usepackage{graphics}
\usepackage{multirow}
\usepackage{graphicx}
\usepackage{subcaption}
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\documentclass[11pt,letterpaper]{article}
\usepackage[numbers,square]{natbib}
\renewcommand\cite[1]{(\citet{#1})}
\usepackage[hmargin=0.75in]{geometry}
\usepackage{color}
\usepackage{chemarr}
\usepackage{amssymb}
\usepackage{graphicx}
\usepackage{epstopdf}
\usepackage{caption}
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\section{Introduction}
\label{s:intro}
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\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[english]{babel}
\usepackage{graphicx}
\usepackage{multicol}
\usepackage{color}
\graphicspath{/home/}
\usepackage{comment}
\title{Something Random}
\author{You \\ Your Titile
\and Someone Else\\ Something Else }
\begin{document}
\maketitle
\sectio... | {
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\paragraph{Answer 1.}
The method to answer these questions is simply to try small words by
constructing them in order to satisfy the constraints.
\begin{enumerate}
\item The \label{aba} shortest word \(x\) belonging to L(r) is found
by taking \(\epsilon\) in place of \(\lparen a \disjM{}
b\rparen\kleeneM\).... | {
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There are several metrics for evaluating different quality factors of
written tests. One key property of tests is that they must be able to
detect defects in the code, since that is typically the very main reason
for writing tests at all. We have chosen to call this property
\emph{test efficiency}. Another quality fac... | {
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\subsection{Metronome}
This plugin can be used as a metronome to keep time during music
practice. It supports two modes of operation, depending on it being
started from the plugin menu or as viewer for tempomap (\verb:.tempo:)
files.
The sound is a piercing square wave that can be heard well also
through loud music f... | {
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\subsection{Indifference curves}
We have \(U=f(x,y)\)
An indifference curve is a curve where a consumer is indifferent to all points on it.
\(f(x,y)=c\)
\subsection{Marginal rate of substitution}
The marginal rate of substitution is the amount of one good that a customer is willing to give up for another.
This i... | {
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\chapter*{ABSTRACT}
\textit{The concept of the Internet of Things has been widely used in everyday life in various fields, such as agriculture, health, industry, security, and transportation. One of the problems that are often encountered in today's era is the parking system that still uses conventional methods to rec... | {
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% Chapter Template
\chapter{Topical n-grams model} % Main chapter title
\label{topicalngram} % Change X to a consecutive number; for referencing this chapter elsewhere, use \ref{ChapterX}
\lhead{Chapter 5. \emph{Topical n-grams model}} % Change X to a consecutive number; this is for the header on each page - perhaps... | {
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\chapter{Prototyping the Semantics of a Domain-Specific Modeling Language}
\label{chap:prototype-semantics}
\input{prototype-semantics/abstract}
\input{prototype-semantics/introduction}
%\input{prototype-semantics/dsl}
\input{prototype-semantics/prototyping-semantics}
\input{prototype-semantics/visualization}
\in... | {
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\section{Optimizations}
\subsection{File Loading}
When loading a data resource, the greatest bottleneck lies in fetching from a persistent storage medium.
Doing multiple IO operations on a hard disk for example, can heavily increase the load time of a file
due to their mix with other IO operations from the rest of the... | {
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% section3
\chapter {Determinants}
\section{Determinants; cofactor Expansion}
\begin{exer}
Compute the determinants of the matrix A:
\begin{equation*}
A=\begin{bmatrix}-4 & 1 & 1 & 1 & 1 & \\ 1 & -4 & 1 & 1 & 1 \\ 1 & 1 & -4 & 1 & 1 \\ 1 & 1 & 1 & -4 & 1 \\ 1 & 1 & 1 & 1 & -4\end{bmatrix}\\.
\end{equation*}
... | {
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\documentclass[12pt,parskip=full]{article}
\usepackage{lmodern}
\usepackage{amsmath}
\usepackage[left=1.0in,right=1.0in,top=0.5in,bottom=1.0in]{geometry}
\geometry{letterpaper}
\usepackage{graphicx}
\usepackage{caption}
\usepackage{subcaption}
\usepackage{longtable}
\usepackage{float}
\usepackage{wrapfig}
\usepackage{s... | {
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% ------------------------------------------------------------------------+
% Copyright (c) 2001 by Punch Telematix. All rights reserved. |
% |
% Redistribution and use in source and binary forms, with or without |
% modification, ... | {
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% !TEX root = ../notes_template.tex
\chapter{Quantum Mechanics}\label{chp:quantum_mechanics}
\gls{hamiltonian};
\gls{qft};
\glsxtrshort{qm};
\gls{lagrangian}
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\documentclass{report}
\newcommand{\docTitle}{User guide for using the python framework to generate models in FreeCAD}
\newcommand{\docAuthor}{A.~F.~D.~Morgan}
\usepackage{graphicx}
\usepackage{multirow}
\usepackage{a4wide}
\usepackage{fancyhdr}
\usepackage{amsfonts}
\usepackage{amsmath}
\usepackage{listings}
\usepacka... | {
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{% raw %}
\documentclass{vgtc} % final (conference style)
%\documentclass[review]{vgtc} % review
%\documentclass[widereview]{vgtc} % wide-spaced review
%\documentclass[preprint]{vgtc} % preprint
%\documentclass[electronic]{vgtc} % electronic... | {
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\chapter{Geometric Parameters}
\section{Wing Basic Geometric Parameters}
\begin{figure}
\centering
\includegraphics[width=120mm]{eps/wing_geometric_parameters.eps}
\caption{Wing basic geometric parameters}
\end{figure}
Aspect ratio is given by the following formula: \cite{Raymer1992}
\begin{equation}
A = \fr... | {
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\chapter{Modelling renewable energy resources}
\label{methods_physical}
\vspace{-15pt} % -15pts for two-line heading, -45pts for single-line heading
\begin{tcolorbox}[enhanced,width=\textwidth,size=fbox,
sharp corners,colframe=black!5!white,drop fuzzy shadow southeast,
boxrule=3mm, parbox=false]
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\subsection{Faraday's Law of Induction \& Ampere's Law}
\noindent
Faraday’s Law of Induction quantifies the idea that changing magnetic flux in a coil induces a current in the coil. More precisely, it induces a voltage, the potential function of electric field $\left(\vec{E} = \nabla V\right)$, and this field will op... | {
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\chapter{Computers}
We recommend that you skip this chapter
until you use a computer to do physics calculations.
\section{Working with limited precision}
Computers can only store finitely many digits.
Computers can only represent a \emph{finite} subset of \(\Real\).
Computers can't represent most real numbers.
The ... | {
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\subsection{Gradient Properties}
\noindent
Let $f$ and $g$ be functions of multiple variables, let $\vec{r}$ be a VVF, and let $c \in \mathbb{R}$.
\begin{enumerate}
\item $\nabla(f \pm g) = \nabla f \pm \nabla g$
\item $\nabla(cf) = c\nabla f$
\item $\nabla(fg) = f\nabla g + g\nabla f$
\item $\nabla(f\circ\v... | {
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%
%% Copyright (c) Members of the EGEE Collaboration. 2004-2010.
%% See http://www.eu-egee.org/partners for details on the copyright holders.
%%
%% Licensed under the Apache License, Version 2.0 (the "License");
%% you may not use this file except in compliance with the License.
%% You may obtain a copy of the License... | {
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%!TEX root = Calculus_I.tex
\chapter{Key Concept: The Definite Integral}
\section{How Do We Measure Distance Traveled?}
The \textbf{\textit{distance}} formula is commonly referred to as:
%
\begin{equation}
\text{Distance} = \text{Velocity} \cdot \text{Time}
\end{equation}
%
Recall that \textbf{\textit{velocity}} has b... | {
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\subsubsection{Gaussian Integral}
\noindent
Let's compute $\iint\limits_{D}{e^{-x^2-y^2}\mathrm{d}A}$ where $D$ is the unit disk.
\begin{equation*}
A = \int_{-1}^{1}{\int_{-\sqrt{1 - x^2}}^{\sqrt{1 - x^2}}{e^{-x^2 - y^2}\mathrm{d}y}\mathrm{d}x} = \int_{0}^{1}{\int_{0}^{2\pi}{e^{-r^2}r\mathrm{d}\theta}\mathrm{d}r} ... | {
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\section{closed channel transfer matrix folding}
Now that we have a matrix of size $(N+N_c)x(N+N_c)$ it would be convenient to be able to represent it as a matrix of size $NxN$. We will call this reduction "folding" as we are folding the closed channels into a smaller matrix. There is conservation of information in... | {
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\documentclass[output=paper]{langscibook}
\ChapterDOI{10.5281/zenodo.5524290}
\author{Artemis Alexiadou\affiliation{Humboldt-Universität zu Berlin} and Elena Anagnostopoulou\affiliation{University of Crete}}
\title{Greek aspectual verbs and the causative alternation}
\abstract{In this paper we examine a particular typ... | {
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\documentclass[oneside,a4paper]{article}
% ========== Preamble (packages, definitions etc.) ==========
\usepackage[utf8]{inputenc}
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\section{Wrap-up}
\subsection{}
\begin{frame}
\frametitleTC{Ideas and capabilities to take home}
\framesubtitleTC{(1/2) not necessarily in the same order as we saw them...}
\begin{itemize}[<+-| alert@+>]
\item Interpreting the state space description of a DT LTI dynamic system\\
as scalar equations.
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