131 lines
4.3 KiB
TeX
131 lines
4.3 KiB
TeX
%!TEX TS-program = xelatex
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%!TEX encoding = UTF-8 Unicode
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% Lxsameer's CV Latex class
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% Copyright (C) 2022 Sameer Rahmani <lxsameer@gnu.org>
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%
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% This program is free software; you can redistribute it and/or
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% modify it under the terms of the GNU General Public License
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% as published by the Free Software Foundation; either version 2
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% of the License, or (at your option) any later version.
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%
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% This program is distributed in the hope that it will be useful,
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% but WITHOUT ANY WARRANTY; without even the implied warranty of
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% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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% GNU General Public License for more details.
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%
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% You should have received a copy of the GNU General Public License
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% along with this program; if not, write to the Free Software
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% Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
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\documentclass{lxpresent}
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\date{\today}
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\title{Mathematics of Programming Languages}
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\setep{02}{What is Mathematics?}
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\begin{document}
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\maketitle
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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 To my surprise, the 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}{What was the tweet all about?}{}
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\begin{figure}
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\centering
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\pic{ep2/tweet.png}{0.4}
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\end{figure}
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\end{frame}
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\begin{frame}{Why do we have to start from here?}{}
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\begin{itemize}
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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 to 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 a 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 the language to express music
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\end{itemize}
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\end{frame}
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\begin{frame}{Language of Music}{}
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\centering
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Anyone 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}{0.65}
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Maths is the same, I can express my thoughts about something in terms of mathematics
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\end{figure}
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\end{frame}
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\begin{frame}{Maths the Framework}{}
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\begin{itemize}
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\item One can produce nonsense in Maths as well
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\item But maths provides a framework that eliminates nonsense, errors and ambiguity
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\item Mathematics is a precise language
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\end{itemize}
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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 It's not just a language, it's a language + reasoning, it's a tool for reasoning
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\item It's a big collection of some people's careful thoughts
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\item In form of provable and precise 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 statements 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 And study the relations between those 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 using 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}{}
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\end{frame}
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\begin{frame}{Contact}{}
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Please, share 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{document}
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