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Finished two sections

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Robert 2021-03-26 22:56:06 +01:00
parent 42b06eda82
commit 5a9ecc2d55
7 changed files with 352 additions and 3 deletions
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script.tex
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@ -50,7 +50,7 @@
\newcommand{\limz}{\lim_{n \rightarrow 0}}
\newcommand{\limsupn}{\limsup_{n \rightarrow \infty}}
\newcommand{\liminfn}{\liminf_{n \rightarrow \infty}}
\newcommand{\seq}[1]{(#1_n)}
\newcommand{\seq}[1]{\left(#1_n\right)}
\newcommand{\nseqdef}[1]{\seq{#1} \subset \natn}
\newcommand{\rseqdef}[1]{\seq{#1} \subset \realn}
\newcommand{\cseqdef}[1]{\seq{#1} \subset \cmpln}
@ -59,10 +59,19 @@
\newcommand{\series}[2][\infty]{\sum_{#2 = 1}^{#1}}
\newcommand{\finite}{\text{ finite}}
\newcommand{\conj}[1]{\overline{#1}}
\newcommand{\oball}[1][\epsilon]{B_{#1}}
\newcommand{\closure}[1]{\overline{#1}}
\newcommand{\must}[1][=]{\stackrel{!}{#1}}
\newcommand{\metric}[1][X]{(#1, d)}
\newcommand{\dnorm}{\norm{\cdot}}
\newcommand{\normed}[1][V]{(#1, \dnorm)}
\newcommand{\supnorm}[1]{\norm{#1}_{\infty}}
\newcommand{\oball}[1][\epsilon]{B_{#1}}
\newcommand{\cball}[1][\epsilon]{K_{#1}}
\newcommand{\Oball}{\oball[r]}
\newcommand{\Cball}{\cball[r]}
\newcommand{\conv}[1]{\xrightarrow{\makebox[2em][c]{$\scriptstyle#1$}}}
\newcommand{\convinf}{\conv{n \rightarrow \infty}}
@ -141,5 +150,6 @@
\subfile{chapters/real_analysis_1.tex}
\subfile{chapters/linear_algebra.tex}
\subfile{chapters/real_analysis_2.tex}
\subfile{chapters/topo_of_metr_spaces.tex}
\end{document}