Finished two sections
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7 changed files with 352 additions and 3 deletions
14
script.tex
14
script.tex
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@ -50,7 +50,7 @@
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\newcommand{\limz}{\lim_{n \rightarrow 0}}
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\newcommand{\limsupn}{\limsup_{n \rightarrow \infty}}
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\newcommand{\liminfn}{\liminf_{n \rightarrow \infty}}
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\newcommand{\seq}[1]{(#1_n)}
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\newcommand{\seq}[1]{\left(#1_n\right)}
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\newcommand{\nseqdef}[1]{\seq{#1} \subset \natn}
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\newcommand{\rseqdef}[1]{\seq{#1} \subset \realn}
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\newcommand{\cseqdef}[1]{\seq{#1} \subset \cmpln}
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@ -59,10 +59,19 @@
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\newcommand{\series}[2][\infty]{\sum_{#2 = 1}^{#1}}
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\newcommand{\finite}{\text{ finite}}
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\newcommand{\conj}[1]{\overline{#1}}
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\newcommand{\oball}[1][\epsilon]{B_{#1}}
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\newcommand{\closure}[1]{\overline{#1}}
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\newcommand{\must}[1][=]{\stackrel{!}{#1}}
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\newcommand{\metric}[1][X]{(#1, d)}
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\newcommand{\dnorm}{\norm{\cdot}}
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\newcommand{\normed}[1][V]{(#1, \dnorm)}
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\newcommand{\supnorm}[1]{\norm{#1}_{\infty}}
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\newcommand{\oball}[1][\epsilon]{B_{#1}}
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\newcommand{\cball}[1][\epsilon]{K_{#1}}
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\newcommand{\Oball}{\oball[r]}
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\newcommand{\Cball}{\cball[r]}
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\newcommand{\conv}[1]{\xrightarrow{\makebox[2em][c]{$\scriptstyle#1$}}}
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\newcommand{\convinf}{\conv{n \rightarrow \infty}}
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@ -141,5 +150,6 @@
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\subfile{chapters/real_analysis_1.tex}
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\subfile{chapters/linear_algebra.tex}
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\subfile{chapters/real_analysis_2.tex}
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\subfile{chapters/topo_of_metr_spaces.tex}
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\end{document}
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