ep2: Add a figure of musical notation
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7
Makefile
7
Makefile
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@ -2,6 +2,13 @@
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latexmk -f -xelatex -interaction=nonstopmode -output-directory=$(PWD)/build/ ep$@.tex
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pdftoppm -png -f 1 -l 1 -singlefile -r 1200 -scale-to-x 1920 -scale-to-y 1080 $(PWD)/build/ep$@.pdf $(PWD)/build/ep$@
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deps:
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@echo "Source San Pro font family must be installed"
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tlmgr update --list
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tlmgr install fontspec
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tlmgr install sourcesanspro
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tlmgr install fontawesome5
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.PHONY: clean
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clean:
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rm -rf build
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149
ep2.tex
149
ep2.tex
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@ -26,107 +26,90 @@
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\begin{document}
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\maketitle
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\begin{frame}{Why do we have to start frome here?}{We already know what math is}
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\begin{itemize}
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\item there's no conses on the definition of mathematics but I'll give you mine
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\item interconnected web of mathematics, how an idea in one field drives you to others
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\item asking the right question
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\item We learned about the basics of LLVM and MLIR
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\item We created a basic platform to develop a programming language, that includes:
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\begin{frame}{Why did I choose to make this?}{}
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\begin{itemize}
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\item Originally I just wanted to start from logic
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\item I read a tweet which made me think not everyone knows what math really is
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\item I started to ask around online and even on the street
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\begin{itemize}
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\item A parser
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\item A JIT engine
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\item A code generation pipeline
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\item and few other bits and pieces
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\end{itemize}
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\item BUT we didn't come up with a specification for \href{https://serene-lang.org}{Serene}
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\item We didn't design the language yet
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\item That's what we're going to do in this series
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\end{itemize}
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\end{frame}
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\begin{frame}{Specification}{}
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\begin{itemize}
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\item Not all the programming langs have specification
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\item A spec or standard brings clarity for users and developers
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\item We could've just implement an already exist spec like \href{http://www.r6rs.org/}{R6RS} (Scheme)
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\item Or just create a language based on our intuition (many languages have done this)
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\item Or design a standard from scratch \\
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We can use about 100 years of Mathematics and Computer Science to our benefit
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\end{itemize}
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\end{frame}
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\begin{frame}{Where to look?}
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\begin{itemize}
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\item Based on the past experience we have some initial idea on where to look
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\item Later on we will find out whether or not our initial ideas were good
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\item For example
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\begin{itemize}
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\item I prefer functional programming
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\item Dynamic type systems
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\item \ldots
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\end{itemize}
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\item We can start from there and study what we think is true and also any alternative to them
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\end{itemize}
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\end{frame}
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\begin{frame}{Where we want to look}
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\begin{itemize}
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\item There are few major theories we can start from:
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\begin{itemize}
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\item Type theory
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\item Category theory
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\item Proof theory
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\end{itemize}
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\item They all describe the same world from different perspectives
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\item Also, there are few papers that we need to look at, like the lisp paper
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\end{itemize}
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\end{frame}
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\begin{frame}{Required tools}
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\begin{itemize}
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\item We need build up few mathematical skills
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\item E.g We need to learn:
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\begin{itemize}
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\item Logic
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\item Set theory
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\item and discrete mathematics in general
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\item To my surprise majority of people got it wrong too
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\item Even other engineers and scientists
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\end{itemize}
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\end{itemize}
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\end{frame}
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\begin{frame}{The Plan}{}
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\begin{frame}{What was the tweet all about?}{}
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\end{frame}
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\begin{frame}{Why do we have to start frome here?}{}
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\begin{itemize}
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\item I like this series to be self contained as much as possible
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\item We're going to start from basics
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\item We will cover
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\begin{itemize}
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\item What is mathematics? and why do we need it?
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\item Mathematical thinking
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\item Discrete mathematics
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\item $\lambda$-calculus
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\item Type theory
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\item and the rest
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\end{itemize}
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\item We will study the history of computer science an mathematics as well
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\item History is a great guide
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\item Understanding Mathematics helps us to think better
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\item To asking the right question
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\item There's no consensus on the definition of mathematics but I'll give you mine
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\item My goal is to get you think
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\end{itemize}
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\end{frame}
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\begin{frame}{So, What is mathematics?}{}
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\begin{itemize}
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\item ``Mathematics is the language in which God has written the universe''
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\item To put it simply Mathematics is a language with specific set of properties
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\item Usually a language enables us to express something
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\item For example musical notation is language to express music
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\end{itemize}
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\end{frame}
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\begin{frame}{Disclaimer}{}
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\begin{frame}{Musical notation}{}
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\centering
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Any one who speaks the language of musical notations understands this sheet
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\begin{figure}
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\centering
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\pic{ep2/music_score.png}
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\end{figure}
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\end{frame}
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\begin{frame}{Not just a language}{}
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\begin{itemize}
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\item I'm not a professional mathematician
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\item I'm just sharing the result of my research and things that I learn. Take it with a grain of salt
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\item ``Nullius in verba''
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\item But it's not just a language, it's a language + reasoning, it's a tool for reasoning
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\item It's big collection of some people careful thoughts
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\item In form of provable statements
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\end{itemize}
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\end{frame}
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\begin{frame}{So, What is mathematics?}{}
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\begin{itemize}
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\item By Mathematics it is possible to connect one statement to others.
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\item Mathematics is a way of going from one set of statements to another via reason.
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\item It's an interconnected web, how an idea in one field drives you to others
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\end{itemize}
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\end{frame}
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\begin{frame}{What are those statement all about?}{}
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\begin{itemize}
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\item Humans are pattern recognizing machines (We will talk about it more in the episode)
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\item Mathematics is all about generalizing those patterns via abstractions
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\item Usually there are more than one way to describe the same thing
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\item different between doing math and usign math
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\begin{itemize}
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\item Mathematicians want to make their reasoning as general as possible
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\item But math users usually want special cases
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\end{itemize}
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\end{itemize}
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\end{frame}
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\begin{frame}{Contact}{}
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Please shared your thoughts and ideas or researches and papers that you want me to have a look at via:
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\begin{itemize}
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\item Comment section on \href{https://youtube.com/c/lxsameer}{youtube}
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\item \href{https://lxsameer.com}{https://lxsameer.com}
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\end{itemize}
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\end{frame}
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\end{frame}
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\end{document}
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\setbeamercolor{palette secondary} {fg=spurple,bg=white}
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\setbeamercolor{structure}{fg=white,bg=spurple}
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\setbeamercolor{title in head/foot}{fg=white,bg=spurple}
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\setbeamercolor{date in head/foot}{fg=lightgray,bg=spurple}
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\setbeamercolor{date in head/foot}{fg=lightgray}
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\setbeamercolor{background canvas}{bg=spurple}
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\setbeamercolor{title}{fg=blue,bg=spurple}
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\setbeamercolor{normal text}{fg=white}
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% definition of the footline template
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\defbeamertemplate*{footline}{mytheme}{%
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\leavevmode%
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\hbox{\begin{beamercolorbox}[wd=.3\paperwidth,ht=2.5ex,dp=1.125ex,leftskip=.3cm,rightskip=.3cm]{title in head/foot}%
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\makebox[2em][l]{{\usebeamerfont{title in head/foot}\textcolor{white}{\@ep}}}%
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{\usebeamercolor{title in head/foot}{\@eptitle}}
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\end{beamercolorbox}%
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\begin{beamercolorbox}[wd=.3\paperwidth,ht=2.5ex,dp=1.125ex,leftskip=.3cm,rightskip=.3cm,right]{title in head/foot}%
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\end{beamercolorbox}}%
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\vskip0pt%
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\hspace{0.5em}
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\hbox{
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{\usebeamercolor{title in head/foot}{\@ep \- \@eptitle}}}
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\vspace{0.5em}
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}
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% definition of the title page template
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\defbeamertemplate*{itemize item}{mysymbol}{\small\raise0.5pt\hbox{\mysymbol}}
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\defbeamertemplate*{itemize subitem}{mysymbol}{\footnotesize\raise0.5pt\hbox{\mysymbol}}
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\defbeamertemplate*{itemize subsubitem}{mysymbol}{\footnotesize\raise0.5pt\hbox{\mysymbol}}
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\newcommand{\pic}[1]{
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\includegraphics[width=0.7\textwidth]{#1}}
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