The Optimal Transport Problem Manual
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The
Optimal
Transport Problem
Applications to the
Discrete version
Oscar Ramirez
The Optimal
Transport
Problem
Applications to the Discrete version
by
Oscar Ramirez
to obtain the degree of Master of Science
at the Delft University of Technology,
to be defended publicly on Tuesday January 1, 2013 at 10:00 AM.
Student number:
Project duration:
Thesis committee:
1234567
March 1, 2012 – January 1, 2013
Prof. dr. ir. J. Doe, TU Delft, supervisor
Dr. E. L. Brown,
TU Delft
Ir. A. Aaronson,
Acme Corporation
This thesis is confidential and cannot be made public until December 31, 2013.
An electronic version of this thesis is available at http://repository.tudelft.nl/.
Preface
Preface…
Oscar Ramirez
Delft, January 2013
iii
Contents
1 Introduction
1.1 Document Structure .
1.2 Cover and Title Page .
1.3 Chapters . . . . . . .
1.4 \section{…} . . . . . .
1.4.1 \subsection{…}
1.5 Fonts and Colors . . .
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1
1
2
4
4
4
4
7
v
1
Introduction
This document is intended to be both an example of the TU Delft LATEX template for reports
and theses, as well as a short introduction to its use. It is not intended to be a general
introduction to LATEX itself,1 and we will assume the reader to be familiar with the basics of
creating and compiling documents.
Instructions on how to use this template under Windows and Linux, and which LATEX
packages are required, can be found in README.txt.
Document Structure
Since a report, and especially a thesis, might be a substantial document, it is convenient to
break it up into smaller pieces. In this template we therefore give every chapter its own file.
The chapters (and appendices) are gathered together in report.tex, which is the master file
describing the overall structure of the document. report.tex starts with the line
\documentclass{tudelft-report}
which loads the TU Delft report template. The template is based on the LATEX book document class and stored in tudelft-report.cls. The document class accepts several commaseparated options. The default language is English, but this can be changed to Dutch (e.g.,
for bachelor theses) by specifying the dutch option:
\documentclass[dutch]{tudelft-report}
Furthermore, hyperlinks are shown in blue, which is convenient when reader the report on
a computer, but can be expensive when printing. They can be turned black with the print
option. This will also turn the headers black instead of cyan.
If the document becomes large, it is easy to miss warnings about the layout in the LATEX
output. In order to locate problem areas, add the draft option to the \documentclass line.
This will display a vertical bar in the margins next to the paragraphs that require attention.
Finally, the nativefonts option can be used to override the automatic font selection (see
below).
This template has the option to automatically generate a cover page with the \makecover
command. See the next section for a detailed description.
The contents of the report are included between the \begin{document} and \end{document}
commands, and split into three parts by
1. \frontmatter, which uses Roman numerals for the page numbers and is used for the
title page and the table of contents;
2. \mainmatter, which uses Arabic numerals for the page numbers and is the style for
the chapters;
1 We
recommend http://en.wikibooks.org/wiki/LaTeX as a reference and a starting point for new users.
1
2
1. Introduction
3. \appendix, which uses letters for the chapter numbers, starting with ‘A’.
The title page is defined in a separate file, e.g., title.tex, and included verbatim with
\input{title}.2 Additionally, it is possible to include a preface, containing, for example,
the acknowledgements. An example can be found in preface.tex. The table of contents is
generated automatically with the \tableofcontents command. Chapters are included after
\mainmatter and appendices after \appendix. For example, \input{chapter-1} includes
chapter-1.tex, which contains this introduction.
The bibliography, finally, is generated automatically with
\bibliography{report}
from report.bib. The bibliography style is specified in tudelft-report.bst, which is
a modified version of apsrev4-1.bst (from REVTeX) designed to also display the titles of
referenced articles. The template will automatically generate clickable hyperlinks if a URL or
DOI (digital object identifier) is present for the reference. As an example, we cite the paper by
Nobel laureate Andrei Geim and his pet hamster [1]. Although it is possible to manage the
bibliography by hand, we recommend using EndNote (available from Blackboard) or JabRef
(available from http://jabref.sourceforge.net/).
Cover and Title Page
This template will automatically generate a cover page if you issue the \makecover command.
There are two formats for the cover page: one with a page-filling (‘bleeding’) illustration, with
the title(s) and author(s) in large ultrathin typeface, and the other where the illustration fills
the lower half of the A4, whereas title(s), author(s) and additional text are set in the standard
sans-serif font on a plain background with a color chosen by the user. The last option is
selected by the optional key split: \makecover[split] yields a page with the illustration
on the lower half. All illustrations are bleeding, in accordance with the TU Delft style.
Before generating the cover, you need to provide the information to put on it. This can be
done with the following commands:
• \title[Optional Color]{Title}
This command is used to provide the title of the document. The title title is also printed
on the spine. If you use a title page (see below), this information will be used there as
well. As the title, subtitle and author name are printed directly over the cover photo,
it will often be necessary to adjust the print color in order to have sufficient contrast
between the text and the background. The optional color argument is used for this.
• \title[Optional Color]{Subtitle}
This command is used to provide a subtitle for the document. If you use a title page (see
below), this information will be used there as well. It possible to adjust the print color
in order to have sufficient contrast between the text and the background – the optional
color argument is used for this.
• \author{J. Random Author}
This command specifies the author. The default color is tudelft-white, but this may
be adjusted in the same way as the titles.
• \affiliation{Technische Universiteit Delft}
The affiliation is the text printed vertically on the front cover. It can be the affiliation,
such as the university or department name, or be used for the document type (e.g.,
Master’s thesis). The default color is again tudelft-white, adjustable through the
color option.
• \coverimage{cover.jpg}
With this command you can specify the filename of the cover image. The image is
stretched to fill the full width of the front cover (including the spine if a back cover is
present).
2 Note
that it is not necessary to specify the file extension.
1.2. Cover and Title Page
3
• \covertext{Cover Text}
If a back cover is present, the cover text is printed on the back. Internally, this text box
is created using the LATEX minipage environment, so it supports line breaks.
• \titleoffsetx{OffsetX},\titleoffsety{OffsetY} If the cover page contains a pagefilling picture (i.e., split is not specified with the makecover command, the best position of the title depends a lot on the picture chosen for it. The lower left corner of the
minipage containing title, subtitle and author is specified by these two commands. The
offsets are measured from the top left corner of the page.
• \afiloffsetx{AfilX}, \afiloffsety{AfilY} specifies the lower left corner of the
text containing the affiliation, measured from the top left corner of the page.
In addition to [split], the \makecover command accepts several additional options for
customizing the layout of the cover. The most important of these is back. Supplying this
option will generate a back cover as well as a front, including the spine. Since this requires
a page size slightly larger than twice A4 (to make room for the spine), and LATEX does not
support different page sizes within the same document, it is wise to create a separate file for
the cover. cover.tex contains an example. The recommended page size for the full cover
can be set with
\geometry{papersize={1226bp,851bp}}
after the document class and before \begin{document}.
The other options \makecover accepts are
• nospine
If a back cover is generated, the title will also be printed in a black box on the spine.
However, for smaller documents the spine might not be wide enough. Specifying this
option disables printing the title on the spine.
• frontbottom
By default the black box on the front is situated above the blue box. Specifying this
option will place the black box below the blue one.
• spinewidth
If a back cover is present, this option can be used to set the width of the spine. The
default is spinewidth=1cm.
• frontboxwidth, frontboxheight, backboxwidth, backboxheight
As their names suggest, these options are used to set the width and height of the
front (black) and back (blue) boxes. The default widths and heights are 4.375in and
2.1875in, respectively.
• x, y
The blue and black boxes touch each other in a corner. The location of this corner can
be set with these options. It is defined with respect to the top left corner of the front
cover. The default values are x=0.8125in and y=3in.
• margin
This option sets the margin between the borders of the boxes and their text. The default
value is 12pt.
For a thesis it is desirable to have a title page within the document, containing information
like the thesis committee members. To give you greater flexibility over the layout of this
page, it is not generated by a command like \makecover, but instead described in the file
title.tex. Modify this file according to your needs. The example text is in English, but
Dutch translations are provided in the comments. Note that for a thesis, the title page is
subject to requirements which differ by faculty. Make sure to check these requirements
before printing.
4
1. Introduction
Chapters
Each chapter has its own file. For example, the LATEX source of this chapter can be found in
chapter-1.tex. A chapter starts with the command
\chapter{Chapter title}
This starts a new page, prints the chapter number and title and adds a link in the table of
contents. If the title is very long, it may be desirable to use a shorter version in the page
headers and the table of contents. This can be achieved by specifying the short title in
brackets:
\chapter[Short title]{Very long title with many words which could
not possibly fit on one line}
Unnumbered chapters, such as the preface, can be created with \chapter*{Chapter title}. Such a chapter will not show up in the table of contents or in the page header. To
create a table of contents entry anyway, add
\addcontentsline{toc}{chapter}{Chapter title}
after the \chapter command. To print the chapter title in the page header, add
\setheader{Chapter title}
Chapters are subdivided into sections, subsections, subsubsections, and, optionally, paragraphs and subparagraphs. All can have a title, but only sections and subsections are numbered. As with chapters, the numbering can be turned off by using \section*{…} instead
of \section{…}, and similarly for the subsection.
\section{…}
\subsection{…}
\subsubsection{…}
\paragraph{…} Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod
tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud
exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor
in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur
sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est
laborum.
Fonts and Colors
The fonts used by this template depend on which version of LATEX you use. Regular LATEX,
i.e., if you compile your document with with latex, pslatex or pdflatex, will use Utopia
for text, Fourier for math and Latin Modern for sans-serif and monospaced text. However, if
you want to adhere to the TU Delft house style, you will need to use XELATEX, as it supports
TrueType and OpenType fonts. Compiling with xelatex will use Arial for most titles and text,
Courier New for monospace and Cambria for math. If you want to haf a sans-serif font for
the main text, while using latex, pslatex or pdflatex, you can use the option noroman in
the report style: \usepackage[…,noroman]tudelft-report. For document and part titles,
TU Delft Ultra Light is used. For quotes, columns and text in boxes, you use Georgia. If
you want to use XELATEX, but do not want to use the TU Delft house style fonts, you can
add the nativefonts option to the document class. This will still use TU Delft Utra Light
and Arial on the cover, but not for the body of the document. If you need to use these
fonts for certain sections in the main text, they are available via \tudrmfamily (Georgia) and
\tudtitlefamily (TU Delft Utra Light).
You have to learn the rules of the game. And then you have to play better than anyone else.
Albert Einstein
1.5. Fonts and Colors
5
The corporate colors of the TU Delft are cyan, black and white, available via \color{tudelftcyan}, \color{tudelft-black} (which differs slightly from the default \color{black})
and \color{tudelft-white}, respectively. Apart from these three, the house style defines
the basic colors tudelft-sea-green, tudelft-green, tudelft-dark-blue, tudelft-purple,
tudelft-turquoise and tudelft-sky-blue, as well as the accent colors tudelft-lavender,
tudelft-orange, tudelft-warm-purple, tudelft-fuchsia, tudelft-bright-green and
tudelft-yellow.
Bibliography
[1] A. K. Geim and H. A. M. S. ter Tisha. Detection of earth rotation with a diamagnetically
levitating gyroscope. Physica B: Condensed Matter, 294–295:736–739, 2001. doi: 10.
1016/S0921-4526(00)00753-5.
7
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