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https://github.com/iritmaximus/kandi.git
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Change to use the template
This commit is contained in:
Aaro Koivukangas
+45
@@ -0,0 +1,45 @@
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@article{wiles,
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author = {Wiles, Andrew},
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title = {Modular Elliptic Curves and {Fermat's} Last Theorem},
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journal = {Annals of Mathematics},
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year = {1995},
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volume = {141},
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issue = {3},
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pages = {443--551},
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doi = {10.2307/2118559}
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}
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@book{analyysia,
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author = {Harjulehto, Petteri and Klèn, Riku and Koskenoja, Mika},
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title = {Analyysiä reaaliluvuilla},
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publisher = {Gaudeamus},
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year = {2023},
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edition = {Sixth, revised edition},
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note = {Previously published by Unigrafia}
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}
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@unpublished{some-preprint,
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author = {Aizenman, Michael and Duminil-Copin, Hugo},
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title = {Marginal triviality of the scaling limits of critical 4D {Ising} and {$\phi^4_4$} models},
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year = {2019},
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note = {arXiv preprint 1912.07973},
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}
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@inbook{book-chapter,
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author = {Nonexistent, Nana},
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title = {A 3-page solution to the {Riemann} hypothesis},
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pages = {14--16},
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booktitle = {A compendium of invalid proofs},
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bookauthor = {Lastname, Firstname von},
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publisher = {Puuhamaa University Press},
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year = {2024},
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}
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@manual{biblatex,
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author = {Kime, Philip and Wemheuer, Moritz and Lehman, Philipp},
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title = {The {\texttt{biblatex}} package},
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year = {2024},
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urldate = {2024-08-22},
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url = {https://ctan.org/pkg/biblatex},
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note = {Version~3.20},
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}
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+384
-37
@@ -1,53 +1,400 @@
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% Kandi here we go yeeeee
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% University of Helsinki
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\documentclass[11pt,a4paper]{article}
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% Department of Mathematics and Statistics
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% Template for Bachelor's or Master's thesis
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\usepackage[finnish]{babel}
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%
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\usepackage{amssymb}
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% This template is intended as a starting point for a thesis;
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% \usepackage{amsfonts}
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% feel free to customize it or use your own template.
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% See the comments for hints and customization.
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\title{Kanditutkielma}
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%
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\author{Aaro Koivukangas}
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% Initial version: 29 August 2024 / Petri Laarne
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\date{\today}
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\newcommand{\R}{\mathbb{R}}
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% Add the 'twoside, openright' options when producing a proper printed version
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\newcommand{\N}{\mathbb{N}}
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\documentclass[a4paper, 11pt]{report}
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\newcommand{\Q}{\mathbb{Q}}
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\newcommand{\Z}{\mathbb{Z}}
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\usepackage[hidelinks]{hyperref} % Always load this: clickable links and PDF reader navigation bar
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\newcommand{\implies}{\Rightarrow}
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\usepackage{lastpage} % Used to determine the total page count
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\usepackage{calc} % For layout calculations involving TeX length units (template title page)
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\usepackage{graphicx} % For embedding image files (JPEG, PNG, PDF)
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\usepackage{subcaption} % For subfigures
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\usepackage{tikz} % For drawing diagrams and other complex vector graphics
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% If you use the LuaLaTeX or XeLaTeX compiler, comment out the following line.
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% These compilers offer better support for Unicode, so you should use them if possible.
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\usepackage[T1]{fontenc}
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% Pass the language of the thesis as the LAST option in the list below.
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% This changes the language used for dates and words like 'Chapter' or 'Bibliography'.
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% You can remove the languages that do not appear in your work.
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\usepackage[english,finnish]{babel}
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\usepackage{csquotes} % This package is suggested by 'babel'
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% Bibliography. Change the latter command if you modify the .bib file name.
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\usepackage{biblatex}
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\addbibresource{lähteet.bib}
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\usepackage{mathtools} % Extended mathematics support (this package extends amsmath)
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\usepackage{amssymb} % More mathematical symbols
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\usepackage{amsfonts} % Blackboard bold mathematics font
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% Theorem environments
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\usepackage{amsthm}
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\theoremstyle{plain}
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\newtheorem{theorem}{Lause}[section] % Theorems are numbered within chapter and section
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\newtheorem{lemma}[theorem]{Lemma} % Lemmas etc. follow the same numbering as theorems
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\theoremstyle{definition}
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\newtheorem{definition}[theorem]{Määritelmä}
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\theoremstyle{remark}
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\newtheorem{remark}[theorem]{Huomautus}
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% Some examples of custom mathematical commands
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\newcommand{\RR}{\mathbb{R}}
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\newcommand{\NN}{\mathbb{N}}
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\newcommand{\QQ}{\mathbb{Q}}
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\newcommand{\ZZ}{\mathbb{Z}}
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\newcommand{\dx}{\mathop{}\!\mathrm{d} x} % Nice spacing (and upright d) for dx in integrals
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% Finnish notation for evaluating integrals
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% Instead of \int_a^b syntax you must use it as \sij{a}{b}
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% (To enable the sub-/superscript syntax would require some more complicated TeX wizardry.)
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\newcommand{\sij}[2]{\mathop{\bigg/}\nolimits_{\hspace{-0.65em}#1}^{\hspace{0.05em}#2}\hspace{-0.2em}}
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\newtheorem{definition}{Määritelmä}[section]
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\newtheorem{theorem}[definition]{Lause}
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\newtheorem{lemma}[definition]{Lemma}
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\newtheorem{corollary}[definition]{Korollaari}
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\newtheorem{example}[definition]{Korollaari}
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\begin{document}
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\begin{document}
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\setcounter{section}{-1}
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%
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% TITLE PAGE
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%
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\begin{titlepage}
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\noindent
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\begin{minipage}[b]{\textwidth-45pt}
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% University of Helsinki\\
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% Faculty of Science\\
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Matemaattisten tieteiden kandiohjelma\\
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Helsingin yliopisto\\
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Matemaattis-luonnontieteellinen tiedekunta\\
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\end{minipage}
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\hfill\includegraphics[width=45pt]{HYlogo.pdf}
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\vspace{4pt}\hrule\vfill
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\begin{center}
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% Bachelor's thesis / Master's thesis\\[8pt]
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Kandidaatintutkielma / Maisterintutkielma\\[8pt]
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{\huge\bfseries Mitta jotainjotain}\\[8pt]
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Aaro Koivukangas
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\end{center}
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\vfill\hrule\vspace{4pt}
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\noindent
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Supervisor:\hfill Month and year of submission\\
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Petri Ola\\
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Possible Other Supervisor
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\end{titlepage}
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%
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% ABSTRACT
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%
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% This command starts a new page.
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% In a print version ('twoside' option passed to \documentclass), the page is on the right side
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\pagenumbering{gobble}
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\cleardoublepage
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\noindent\textbf{Title:} Mitta jotainjotain\\ % Otsikko / Titel
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\textbf{Author:} Your name here\\ % Tekijä / Författare
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\textbf{Month and year:} Month and year of submission\\ % Aika / Datum
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\textbf{Page count:} \pageref*{LastPage}~pp.\\[1em] % Sivumäärä: XX~s. / Sidoantal: XX~s.
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% The page count is updated automatically, but it might require two compilations to be correct.
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% If you customize the backmatter, this might become incorrect - check and correct manually if needed.
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% If you include an abstract in a different language, wrap it in a foreignlanguage block
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\begin{foreignlanguage}{english}
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\noindent\textbf{Abstract:}\\ % Tiivistelmä / Referat
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The abstract should be about one page long.
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It also doubles as the maturity test.
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Do not use mathematical notation in the abstract,
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since it will also be displayed on the electronic thesis repository.
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For the publication date, put in the month and year of submission of the finished thesis.
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Also include 3~to 5~keywords that support searching for your thesis.
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They are also shown one the repository page.
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You can include the abstract in more than one language by copying and modifying
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this code between comment blocks.
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To get correct hyphenation for the language (and not with the rules of the main language),
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put the text in a \verb|foreignlanguage| block as shown in the code
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(just modify the language parameter to match the abstract).
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\end{foreignlanguage}
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\maketitle
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\vfill
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\begin{abstract}
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\noindent\textbf{Keywords:} Fill in some keywords, Separated by commas % Avainsanat / Nyckelord
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Tähän pitäis alkaa muodostua minun kandini. Hui.
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\end{abstract}
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\begin{section}{Esitiedot}
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\begin{subsection}{$\sigma$-algebra?}
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\end{subsection}
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\begin{subsection}{Positiivinen mitta}
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%
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% TABLE OF CONTENTS
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%
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\cleardoublepage
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\tableofcontents
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%
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% MAIN TEXT STARTS HERE
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%
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% The \pagenumbering{arabic} command must be immediately after the first chapter title.
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% Do not repeat it for other chapters.
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\chapter{Introduction}
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\pagenumbering{arabic}
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\section{Compiling the document}
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Depending on the language of your thesis, pass the correct option to the
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\verb|\usepackage{babel}| command in the preamble.
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This package changes all the built-in words (like \emph{Bibliography}) to the specified language.
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If possible, you should use either the LuaLaTeX or XeLaTeX compiler to produce the PDF file.
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You can change the compiler in the settings of your \LaTeX{} editor.
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(In Overleaf, this setting is in the menu at the upper-left corner of screen.)
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These compilers have better Unicode support than the old pdfLaTeX compiler,
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and any future accessibility improvements will depend on these compilers.
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If you use them, comment out the \verb|\usepackage{fontenc}| line
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from the beginning of the document.
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The bibliography is produced by a program called Biber.
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Overleaf handles this automatically.
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You can edit the \verb|.bib| source file for bibliography entries either manually%
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\footnote{See Section~2 of the biblatex documentation at \url{https://ctan.org/pkg/biblatex}
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for more information on the syntax.
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The documentation also explains customization of the bibliography and citation styles.}
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or export the file from a reference management program like Zotero.
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\section{Figures and tables}
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\LaTeX{} automatically ``floats'' figures and tables into a suitable position,
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usually at the top of current or next page.
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It is usually best to let the algorithm do its thing;
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any manual tweaks are likely to break if the layout changes even by a tiny bit.
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To create a figure, you can use the \verb|figure| environment.
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You can create a cross-reference point (like Figure~\ref{fig:university logo})
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by adding a label after the caption.
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Note that the cross-reference above is clickable
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-- this feature is provided by the `hyperref' package.
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\begin{figure}
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\centering
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\includegraphics[width=0.4\textwidth]{HYlogo.pdf}
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\caption{The emblem of University of Helsinki.
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As it is a trademark of the university, its use is governed by some restrictions.}
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\label{fig:university logo}
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\end{figure}
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To create subfigures as in Figure~\ref{fig:subfigures},
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|
you can use the `subcaption' package.
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It is possible to create subfigure references like Figure~\ref{sub}
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|
by placing the label inside the subcaption definition.
|
||||||
|
(You can also create automatic, clickable references to the subfigure letter, like (\subref{sub})).
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|
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|
\begin{figure}
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\centering
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|
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\subcaptionbox{The university logo.\label{sub}}{\includegraphics[width=0.3\textwidth]{HYlogo.pdf}}
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\subcaptionbox{Made a bit bigger.}{\includegraphics[width=0.4\textwidth]{HYlogo.pdf}}
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\subcaptionbox{And a bit smaller.}{\includegraphics[width=0.2\textwidth]{HYlogo.pdf}}
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\subcaptionbox{This goes on a new row.}{\includegraphics[width=0.2\textwidth]{HYlogo.pdf}}
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\caption{The subfigures are automatically placed in a grid.
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|
Manual break points can be created with empty lines.}
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||||||
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\label{fig:subfigures}
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||||||
|
\end{figure}
|
||||||
|
|
||||||
|
If you need to place a picture inline with text,
|
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|
you can also do so, but then the picture is not numbered (and it might cause ugly page breaking).
|
||||||
|
Here the feature is illustrated with a simple diagram using the 'tikz' package.
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|
TikZ is an extremely powerful package for making diagrams.
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||||||
|
You can find a lot of examples online.
|
||||||
|
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||||||
|
\begin{center}
|
||||||
|
\begin{tikzpicture}
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||||||
|
|
||||||
|
\node[draw] (A) at (0,0) {Find supervisor};
|
||||||
|
\node[draw] (B) at (4,0) {Write thesis};
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\node[draw] (C) at (7.5,0) {Profit!};
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||||||
|
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||||||
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\draw[->] (A.east) -- (B.west);
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||||||
|
\draw[->] (B.east) -- (C.west);
|
||||||
|
|
||||||
|
\end{tikzpicture}
|
||||||
|
\end{center}
|
||||||
|
|
||||||
|
|
||||||
|
Like figures, there are also floating environments for tables.
|
||||||
|
Tables are numbered in their own sequence (like Table~\ref{tbl:theses}) by default.
|
||||||
|
Table contents are set with a \verb|tabular| environment.
|
||||||
|
|
||||||
|
\begin{table}
|
||||||
|
\centering
|
||||||
|
\begin{tabular}{r|lcc}
|
||||||
|
Dissertation & Shorthand & Typical length & Credits\\
|
||||||
|
\hline
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||||||
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Bachelor's & BSc & 10--20 pages & 6~cr\\
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||||||
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Master's & MSc & 30--50 pages & 30~cr\\
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||||||
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Doctoral & PhD & 3 articles + intro & N/A
|
||||||
|
\end{tabular}
|
||||||
|
\caption{Various academic dissertations in mathematics.}
|
||||||
|
\label{tbl:theses}
|
||||||
|
\end{table}
|
||||||
|
|
||||||
|
For better automatic handling of cross-references (although only in English-language text),
|
||||||
|
you can look at the `cleveref' package\footnote{\url{https://ctan.org/pkg/cleveref}}.
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
\section{Mathematics}
|
||||||
|
|
||||||
|
This example equation illustrates some custom commands defined in the document preamble:
|
||||||
|
\begin{equation}\label{eq:example}
|
||||||
|
\int_0^{2\pi} \sin(x + k\pi) \dx = -\sij{0}{2\pi} \cos(x) = 0,
|
||||||
|
\quad k \in \ZZ.
|
||||||
|
\end{equation}
|
||||||
|
In particular, the \verb|\dx| command ensures good spacing (and upright `d') of $\dx$ within the integral.
|
||||||
|
(The middle notation is only used in Finland.)
|
||||||
|
|
||||||
|
To create an unnumbered display equation like
|
||||||
|
\[
|
||||||
|
a^2 + b^2 = c^2,
|
||||||
|
\]
|
||||||
|
use the \verb|\[ \]| syntax or \verb|equation*| environment.
|
||||||
|
The old \TeX{} syntax \verb|$$ $$| is not fully compatible
|
||||||
|
with modern \LaTeX{} enhancements.
|
||||||
|
|
||||||
|
Remember that equations are part of text,
|
||||||
|
so you should put punctuation (like \verb|.| and \verb|,|)
|
||||||
|
inside equation environments if necessary.
|
||||||
|
For inline mathematics like $a^2 + b^2$, keep the punctuation outside the dollar signs.
|
||||||
|
Do not put empty lines around equation environments unless
|
||||||
|
there is supposed to be a paragraph break.
|
||||||
|
|
||||||
|
\bigskip
|
||||||
|
|
||||||
|
To find a particular mathematical symbol,
|
||||||
|
the Detexify tool\footnote{\url{https://detexify.kirelabs.org/}} is super useful.
|
||||||
|
It lets you draw a symbol, and suggests similar symbols from base \LaTeX{} and common packages.
|
||||||
|
Common symbols are also listed in the mathematics section of
|
||||||
|
\LaTeX{} Wikibook\footnote{\url{https://en.wikibooks.org/wiki/LaTeX/Mathematics}}.
|
||||||
|
|
||||||
|
Equations are numbered within chapter by default.
|
||||||
|
They too can be cross-referenced, like \eqref{eq:example}.
|
||||||
|
There are several other equation environments, like the one that aligns lines
|
||||||
|
(each line is numbered except for one, and one of them has a special name):
|
||||||
|
\begin{align}
|
||||||
|
\left( \sum_{k=0}^2 a^{2-k} b^k \right) (a-b)
|
||||||
|
&= (a^2 + ab + b^2) (a - b) \label{eq:second}\\
|
||||||
|
&= a^3 - a^2 b + a^2 b - ab^2 + b^2 a - b^3 \label{eq:third}\\
|
||||||
|
&= a^3 - (a^2 b - a^2 b) - (ab^2 - a b^2) - b^3 \notag\\
|
||||||
|
&= a^3 - b^3. \tag{AB}\label{eq:AB}
|
||||||
|
\end{align}
|
||||||
|
The lines can be referred to as \eqref{eq:second}, \eqref{eq:third}, and \eqref{eq:AB}.
|
||||||
|
|
||||||
|
|
||||||
|
\section{Theorems, definitions, and proofs}
|
||||||
|
|
||||||
|
The preamble defines some theorem-like environments with different styles.
|
||||||
|
You can create more such environments and change their names by modifying the code there.
|
||||||
|
|
||||||
|
These environments are numbered within chapter and section.
|
||||||
|
If you'd prefer to not reset the numbering in each section
|
||||||
|
(that is, Definition~1.1 instead of Definition~1.4.1),
|
||||||
|
you can change the indicated line in the preamble.
|
||||||
|
|
||||||
\begin{definition}
|
\begin{definition}
|
||||||
Olkoon $X$ joukko, jolla on $\sigma$-algebra $\Gamma$. Kuvaus $\mu: \Gamma \rightarrow [r, +\infty]$ on joukon $X$ mitta, jos
|
A triple $(a, b, c)$ of positive integers is called \emph{Pythagorean} if $a^2 + b^2 = c^2$.
|
||||||
\begin{enumerate}
|
|
||||||
\item $\mu (\emptyset) = 0$
|
|
||||||
\item $A_i \in \Gamma, i \in \N$, erilliset joukot $\implies \mu( \bigcup_{i=1}^{\infty} A_i ) = \Sigma_{i \in \N} \mu(A_i)$
|
|
||||||
\end{enumerate}
|
|
||||||
Kolmikkoa $(X, \Gamma, \mu)$ kutsutaan mitta-avaruudeksi.
|
|
||||||
\end{definition}
|
\end{definition}
|
||||||
\end{subsection}
|
|
||||||
|
|
||||||
\end{section}
|
It is possible to give a name to such a block.
|
||||||
|
|
||||||
|
\begin{lemma}[A very silly lemma]
|
||||||
|
There exists at least one Pythagorean triple.
|
||||||
|
\end{lemma}
|
||||||
|
\begin{proof}
|
||||||
|
Pick $(a, b, c) = (3, 4, 5)$.
|
||||||
|
\end{proof}
|
||||||
|
|
||||||
|
If you want the block name to refer to a result in a published work,
|
||||||
|
you need to wrap the citation command in \verb|{{}}|.
|
||||||
|
This is due to some unfortunate \TeX nical details.
|
||||||
|
|
||||||
|
\begin{theorem}[{{\cite[Theorem~0.5]{wiles}}}]
|
||||||
|
There does not exist a triple $(a, b, c)$ of positive integers such that $a^3 + b^3 = c^3$.
|
||||||
|
\end{theorem}
|
||||||
|
\begin{proof}
|
||||||
|
Left as an exercise to the reader.
|
||||||
|
\end{proof}
|
||||||
|
|
||||||
|
\begin{remark}
|
||||||
|
The last proof was a joke.
|
||||||
|
\end{remark}
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
\section{Citing literature}
|
||||||
|
|
||||||
|
Use the \verb|\cite| command to cite entries from the \verb|.bib| file,
|
||||||
|
like \cite{analyysia}.
|
||||||
|
You can also use an optional argument to cite a specific part, like \cite[p.~20]{analyysia}.
|
||||||
|
|
||||||
|
Only cited entries are included in the final bibliography.
|
||||||
|
To force the inclusion of all entries (for testing purposes!),
|
||||||
|
you can add \verb|\nocite{*}| somewhere in the code.
|
||||||
|
\nocite{*}
|
||||||
|
|
||||||
|
Refer to the biblatex documentation \cite{biblatex}
|
||||||
|
for changing the appearance of citations and the bibliography.
|
||||||
|
The \verb|.bib| file attached to this template shows the basic elements
|
||||||
|
of various entry types.
|
||||||
|
|
||||||
|
Reference management programs like Zotero support exporting \verb|.bib| files.
|
||||||
|
You can also download citations from \mbox{zbMATH}, Google~Scholar, and most journals
|
||||||
|
directly in \verb|.bib| format.
|
||||||
|
|
||||||
|
One more note: Some bibliography styles may change the capitalization of words.
|
||||||
|
Use \verb|{}| to protect specific words from this behaviour,
|
||||||
|
like \verb|{Fermat's}| in the entry for \cite{wiles}.
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
%
|
||||||
|
% BIBLIOGRAPHY
|
||||||
|
%
|
||||||
|
% The [heading=bibintoc] option adds the bibliography to table of contents
|
||||||
|
\printbibliography[heading=bibintoc]
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
%
|
||||||
|
% APPENDICES (if necessary)
|
||||||
|
%
|
||||||
|
\appendix
|
||||||
|
|
||||||
|
\chapter{Some more information}
|
||||||
|
|
||||||
|
If you need to have appendices in your thesis,
|
||||||
|
you can write them as usual chapters after the \verb|\appendix| command.
|
||||||
|
Appendices are numbered alphabetically.
|
||||||
|
|
||||||
\end{document}
|
\end{document}
|
||||||
|
|||||||
Reference in New Issue
Block a user