-
Notifications
You must be signed in to change notification settings - Fork 2
/
Copy pathchap5.aux
77 lines (77 loc) · 5.02 KB
/
chap5.aux
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
\relax
\providecommand\hyper@newdestlabel[2]{}
\providecommand\zref@newlabel[2]{}
\@writefile{toc}{\contentsline {section}{\numberline {5}Eigenvalues, Eigenvectors, and Invariant Subspaces}{34}{section.286}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {5.a}Invariant Subspaces}{34}{subsection.287}\protected@file@percent }
\@writefile{loe}{\contentsline {definition}{\numberline {5.1}Definition}{34}{definition.289}\protected@file@percent }
\@writefile{loe}{\contentsline {example}{\numberline {5.2}Example}{34}{example.291}\protected@file@percent }
\@writefile{loe}{\contentsline {question}{\numberline {5.3}Question}{34}{question.297}\protected@file@percent }
\@writefile{loe}{\contentsline {answer}{\numberline {5.4}Answer}{34}{answer.299}\protected@file@percent }
\@writefile{loe}{\contentsline {remark}{\numberline {5.5}Remark}{34}{remark.301}\protected@file@percent }
\@writefile{loe}{\contentsline {proposition}{\numberline {5.6}Proposition}{34}{proposition.303}\protected@file@percent }
\@writefile{loe}{\contentsline {theorem}{\numberline {5.7}Theorem}{35}{theorem.309}\protected@file@percent }
\newlabel{eqn1}{{1}{35}{Invariant Subspaces}{equation.310}{}}
\newlabel{eqn1@cref}{{[equation][1][]1}{[1][35][]35}}
\newlabel{eqn2}{{2}{35}{Invariant Subspaces}{equation.311}{}}
\newlabel{eqn2@cref}{{[equation][2][]2}{[1][35][]35}}
\newlabel{eqn3}{{3}{35}{Invariant Subspaces}{equation.312}{}}
\newlabel{eqn3@cref}{{[equation][3][]3}{[1][35][]35}}
\@writefile{loe}{\contentsline {corollary}{\numberline {5.8}Corollary}{35}{corollary.314}\protected@file@percent }
\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.i}Restriction Operators}{35}{subsubsection.315}\protected@file@percent }
\@writefile{loe}{\contentsline {definition}{\numberline {5.9}Definition}{35}{definition.317}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {5.b}Eigenvectors and Upper-Triangular Matrices}{35}{subsection.318}\protected@file@percent }
\@writefile{toc}{\contentsline {subsubsection}{\numberline {5.i}Polynomials in T}{35}{subsubsection.319}\protected@file@percent }
\@writefile{loe}{\contentsline {definition}{\numberline {5.10}Definition}{35}{definition.321}\protected@file@percent }
\@writefile{loe}{\contentsline {definition}{\numberline {5.11}Definition}{36}{definition.323}\protected@file@percent }
\@writefile{loe}{\contentsline {example}{\numberline {5.12}Example}{36}{example.325}\protected@file@percent }
\@writefile{loe}{\contentsline {question}{\numberline {5.13}Question}{36}{question.327}\protected@file@percent }
\@writefile{loe}{\contentsline {question}{\numberline {5.14}Question}{36}{question.329}\protected@file@percent }
\@writefile{loe}{\contentsline {theorem}{\numberline {5.15}Theorem}{36}{theorem.331}\protected@file@percent }
\@writefile{loe}{\contentsline {question}{\numberline {5.16}Question}{37}{question.336}\protected@file@percent }
\@writefile{loe}{\contentsline {lemma}{\numberline {5.17}Lemma}{37}{lemma.338}\protected@file@percent }
\@writefile{loe}{\contentsline {theorem}{\numberline {5.18}Theorem}{37}{theorem.340}\protected@file@percent }
\@writefile{loe}{\contentsline {question}{\numberline {5.19}Question}{38}{question.342}\protected@file@percent }
\@writefile{loe}{\contentsline {theorem}{\numberline {5.20}Theorem}{38}{theorem.344}\protected@file@percent }
\@writefile{loe}{\contentsline {corollary}{\numberline {5.21}Corollary}{39}{corollary.346}\protected@file@percent }
\@writefile{loe}{\contentsline {example}{\numberline {5.22}Example}{39}{example.348}\protected@file@percent }
\@writefile{loe}{\contentsline {example}{\numberline {5.23}Example}{39}{example.350}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {5.c}Eigenspaces and Diagonal Matrices}{39}{subsection.351}\protected@file@percent }
\@writefile{loe}{\contentsline {definition}{\numberline {5.24}Definition}{39}{definition.353}\protected@file@percent }
\@writefile{loe}{\contentsline {definition}{\numberline {5.25}Definition}{40}{definition.355}\protected@file@percent }
\@writefile{loe}{\contentsline {theorem}{\numberline {5.26}Theorem}{40}{theorem.357}\protected@file@percent }
\@setckpt{chap5}{
\setcounter{page}{41}
\setcounter{equation}{3}
\setcounter{enumi}{5}
\setcounter{enumii}{0}
\setcounter{enumiii}{0}
\setcounter{enumiv}{0}
\setcounter{footnote}{0}
\setcounter{mpfootnote}{0}
\setcounter{part}{0}
\setcounter{section}{5}
\setcounter{subsection}{3}
\setcounter{subsubsection}{0}
\setcounter{paragraph}{0}
\setcounter{subparagraph}{0}
\setcounter{figure}{0}
\setcounter{table}{0}
\setcounter{parentequation}{0}
\setcounter{asy}{0}
\setcounter{Item}{52}
\setcounter{Hfootnote}{0}
\setcounter{bookmark@seq@number}{0}
\setcounter{thmt@dummyctr}{137}
\setcounter{mdf@globalstyle@cnt}{1}
\setcounter{mdfcountframes}{0}
\setcounter{mdf@env@i}{0}
\setcounter{mdf@env@ii}{0}
\setcounter{mdf@zref@counter}{0}
\setcounter{theorem}{26}
\setcounter{lstnumber}{1}
\setcounter{@todonotes@numberoftodonotes}{0}
\setcounter{tcbbreakpart}{0}
\setcounter{tcblayer}{0}
\setcounter{section@level}{2}
\setcounter{lstlisting}{0}
}