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main.tex
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Masters/Doctoral Thesis
% LaTeX Template
% Version 2.5 (27/8/17)
%
% This template was downloaded from:
% http://www.LaTeXTemplates.com
%
% Version 2.x major modifications by:
% Vel (vel@latextemplates.com)
%
% This template is based on a template by:
% Steve Gunn (http://users.ecs.soton.ac.uk/srg/softwaretools/document/templates/)
% Sunil Patel (http://www.sunilpatel.co.uk/thesis-template/)
%
% Template license:
% CC BY-NC-SA 3.0 (http://creativecommons.org/licenses/by-nc-sa/3.0/)
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%----------------------------------------------------------------------------------------
% PACKAGES AND OTHER DOCUMENT CONFIGURATIONS
%----------------------------------------------------------------------------------------
\documentclass[
12pt, % The default document font size, options: 10pt, 11pt, 12pt
oneside, % Two side (alternating margins) for binding by default, uncomment to switch to one side
english, % ngerman for German
singlespacing, % Single line spacing, alternatives: onehalfspacing or doublespacing
%draft, % Uncomment to enable draft mode (no pictures, no links, overfull hboxes indicated)
%nolistspacing, % If the document is onehalfspacing or doublespacing, uncomment this to set spacing in lists to single
%liststotoc, % Uncomment to add the list of figures/tables/etc to the table of contents
%toctotoc, % Uncomment to add the main table of contents to the table of contents
%parskip, % Uncomment to add space between paragraphs
% nohyperref, % Uncomment to not load the hyperref package
headsepline, % Uncomment to get a line under the header
%chapterinoneline, % Uncomment to place the chapter title next to the number on one line
%consistentlayout, % Uncomment to change the layout of the declaration, abstract and acknowledgements pages to match the default layout
]{MastersDoctoralThesis} % The class file specifying the document structure
\usepackage{fourier} % Use the Palatino font by default
\usepackage[T1]{fontenc} % Output font encoding for international characters
\usepackage[utf8]{inputenc} % Required for inputting international characters
\usepackage{siunitx}
\usepackage{mathtools,amsthm}
\usepackage{bm}
\usepackage{algorithm}
\usepackage{algpseudocode}
\usepackage{subfig}
\usepackage{caption}
\usepackage{float}
\usepackage[inline, shortlabels]{enumitem}
\usepackage[final]{microtype}
\usepackage[backend=bibtex,style=alphabetic,natbib=true]{biblatex} % Use the bibtex backend with the authoryear citation style (which resembles APA)
\addbibresource{tesis.bib} % The filename of the bibliography
\usepackage[autostyle=true]{csquotes} % Required to generate language-dependent quotes in the bibliography
%----------------------------------------------------------------------------------------
% MARGIN SETTINGS
%----------------------------------------------------------------------------------------
\geometry{
paper=letterpaper, % Change to letterpaper for US letter
inner=2.5cm, % Inner margin
outer=3.5cm, % Outer margin
bindingoffset=0.5cm, % Binding offset
top=1.5cm, % Top margin
bottom=1.5cm, % Bottom margin
% showframe, % Uncomment to show how the type block is set on the page
}
%-----------------------------
% Comandos especiales
%-----------------------------
\newcommand{\vecr}{\bm{r}} %% r vector
\newcommand{\vecp}{\bm{p}} %% p vector (momento)
\newcommand{\veck}{\bm{k}}
\newcommand{\nnet}{N_{\theta}(\bm{r})}
\newcommand{\rdf}{$g(r) \ $}
%%
\def\Itemautorefname{Figure}
%% For algorithm environments
\newcommand{\algorithmautorefname}{Algorithm}
%% For theorems
\newtheorem{theorem}{Theorem}
% \def\theoremautorefname{Theorem}
%%
%----------------------------------------------------------------------------------------
% THESIS INFORMATION
%----------------------------------------------------------------------------------------
\thesistitle{Using Computational Intelligence for solving the Ornstein-Zernike equation} % Your thesis title, this is used in the title and abstract, print it elsewhere with \ttitle
\supervisor{Dr. Luis Carlos \textsc{Padierna García}\\
Dr. Ramón \textsc{Castañeda Priego}
} % Your supervisor's name, this is used in the title page, print it elsewhere with \supname
\examiner{} % Your examiner's name, this is not currently used anywhere in the template, print it elsewhere with \examname
\degree{Master in Applied Science} % Your degree name, this is used in the title page and abstract, print it elsewhere with \degreename
\author{Edwin Armando Bedolla Montiel} % Your name, this is used in the title page and abstract, print it elsewhere with \authorname
\addresses{} % Your address, this is not currently used anywhere in the template, print it elsewhere with \addressname
\subject{} % Your subject area, this is not currently used anywhere in the template, print it elsewhere with \subjectname
\keywords{} % Keywords for your thesis, this is not currently used anywhere in the template, print it elsewhere with \keywordnames
\university{\href{https://ugto.mx}{Universidad de Guanajuato}} % Your university's name and URL, this is used in the title page and abstract, print it elsewhere with \univname
\department{\href{}{University of Guanajuato\\Campus Leon}} % Your department's name and URL, this is used in the title page and abstract, print it elsewhere with \deptname
\group{\href{}{Science and Engineering Division}} % Your research group's name and URL, this is used in the title page, print it elsewhere with \groupname
\faculty{\href{}{Science and Engineering Division}} % Your faculty's name and URL, this is used in the title page and abstract, print it elsewhere with \facname
\AtBeginDocument{
\hypersetup{pdftitle=\ttitle} % Set the PDF's title to your title
\hypersetup{pdfauthor=\authorname} % Set the PDF's author to your name
\hypersetup{pdfkeywords=\keywordnames} % Set the PDF's keywords to your keywords
}
\begin{document}
\frontmatter % Use roman page numbering style (i, ii, iii, iv...) for the pre-content pages
\pagestyle{plain} % Default to the plain heading style until the thesis style is called for the body content
%----------------------------------------------------------------------------------------
% TITLE PAGE
%----------------------------------------------------------------------------------------
\begin{titlepage}
\begin{center}
\vspace*{.035\textheight}
{\scshape\LARGE \univname\par}\vspace{1.5cm} % University name
\textsc{\Large Master's Thesis}\\[0.5cm] % Thesis type
\HRule \\[0.4cm] % Horizontal line
{\huge \bfseries \ttitle\par}\vspace{0.4cm} % Thesis title
\HRule \\[1.5cm] % Horizontal line
\begin{minipage}[t]{0.4\textwidth}
\begin{flushleft} \large
\emph{Author:}\\
\href{}{\authorname} % Author name - remove the \href bracket to remove the link
\end{flushleft}
\end{minipage}
\begin{minipage}[t]{0.4\textwidth}
\begin{flushright} \large
\emph{Supervisor:} \\
\href{}{\supname} % Supervisor name - remove the \href bracket to remove the link
\end{flushright}
\end{minipage}\\[0.8cm]
% \vfill
\large \textit{A thesis submitted in fulfillment of the requirements\\ for the degree of \degreename}\\[0.3cm] % University requirement text
\textit{in the}\\[0.4cm]
\groupname\\\deptname\\[0.6cm] % Research group name and department name
% \vfill
% {\large \today}\\[4cm] % Date
\includegraphics[scale=0.3]{figuras/university-logo.png} % University/department logo - uncomment to place it
% \vfill
\end{center}
\end{titlepage}
%----------------------------------------------------------------------------------------
% ABSTRACT PAGE
%----------------------------------------------------------------------------------------
\begin{abstract}
\addchaptertocentry{\abstractname} % Add the abstract to the table of contents
The main goal of this thesis is to provide an exploration of the use of
\emph{computational intelligence} techniques to study the numerical solution of the
Ornstein-Zernike equation for simple liquids. In particular, a continuous model of the hard
sphere fluid is studied. There are two main proposals in this contribution. First, the use
of \emph{neural networks} as a way to parametrize closure relation when solving the
Ornstein-Zernike equation. It is explicitly shown that in the case of the hard sphere
fluid, the neural network approach seems to reduce to the so-called Hypernetted Chain
closure. For the second proposal, we explore the fact that if more physical information is
incorporated into the theoretical formalism, a better estimate can be obtained with the use
of \emph{evolutionary optimization} techniques. When choosing the modified Verlet closure
relation, and leaving a couple of free parameters to be adjusted, the results are as good
as those obtained from molecular simulations. The thesis is then closed with a brief
summary of the main findings and outlooks on different ways to improve the proposals
presented here.
\end{abstract}
%----------------------------------------------------------------------------------------
% ACKNOWLEDGEMENTS
%----------------------------------------------------------------------------------------
% \begin{acknowledgements}
% \addchaptertocentry{\acknowledgementname} % Add the acknowledgements to the table of contents
% \textcolor{red}{Pendiente por redactar \dots}
% \end{acknowledgements}
%----------------------------------------------------------------------------------------
% LIST OF CONTENTS/FIGURES/TABLES PAGES
%----------------------------------------------------------------------------------------
\tableofcontents % Prints the main table of contents
% \listoffigures % Prints the list of figures
% \listoftables % Prints the list of tables
%----------------------------------------------------------------------------------------
% THESIS CONTENT - CHAPTERS
%----------------------------------------------------------------------------------------
\mainmatter % Begin numeric (1,2,3...) page numbering
\pagestyle{thesis} % Return the page headers back to the "thesis" style
% Include the chapters of the thesis as separate files from the Chapters folder
% Uncomment the lines as you write the chapters
\include{capitulos/capitulo-1} %% Introduction
\include{capitulos/capitulo-2} %% Liquid State Theory
\include{capitulos/capitulo-3} %% Machine Learning
\include{capitulos/capitulo-4} %% Neural networks
\include{capitulos/capitulo-5} %% Optimization
\include{capitulos/capitulo-6} %% Conclusions
%----------------------------------------------------------------------------------------
% THESIS CONTENT - APPENDICES
%----------------------------------------------------------------------------------------
\appendix % Cue to tell LaTeX that the following "chapters" are Appendices
% Include the appendices of the thesis as separate files from the Appendices folder
% Uncomment the lines as you write the Appendices
\include{apendices/apendice-1} %% Gradient computations
\include{apendices/apendice-2} %% Numerical scheme, OZ eqn
%----------------------------------------------------------------------------------------
% BIBLIOGRAPHY
%----------------------------------------------------------------------------------------
\printbibliography[heading=bibintoc]
%----------------------------------------------------------------------------------------
\end{document}