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| author | Sebastiano Tronto <sebastiano.tronto@gmail.com> | 2021-05-25 17:10:49 +0200 |
|---|---|---|
| committer | Sebastiano Tronto <sebastiano.tronto@gmail.com> | 2021-05-25 17:10:49 +0200 |
| commit | d6c61d988bfa4255baf9cdae42db59ebee38363f (patch) | |
| tree | 118ff3c2424e735149c145524965a4a337e50beb /src/Lecture5/notebook/7-SageAlgebra.aux | |
| parent | 46eef66b1e1571c77dc828d7e950b129b4c8bfd0 (diff) | |
| download | mathsoftware-d6c61d988bfa4255baf9cdae42db59ebee38363f.tar.gz mathsoftware-d6c61d988bfa4255baf9cdae42db59ebee38363f.zip | |
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| -rw-r--r-- | src/Lecture5/notebook/7-SageAlgebra.aux | 56 |
1 files changed, 56 insertions, 0 deletions
diff --git a/src/Lecture5/notebook/7-SageAlgebra.aux b/src/Lecture5/notebook/7-SageAlgebra.aux new file mode 100644 index 0000000..a3f33b6 --- /dev/null +++ b/src/Lecture5/notebook/7-SageAlgebra.aux | |||
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| 1 | \relax | ||
| 2 | \providecommand\hyper@newdestlabel[2]{} | ||
| 3 | \providecommand\HyperFirstAtBeginDocument{\AtBeginDocument} | ||
| 4 | \HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined | ||
| 5 | \global\let\oldcontentsline\contentsline | ||
| 6 | \gdef\contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}} | ||
| 7 | \global\let\oldnewlabel\newlabel | ||
| 8 | \gdef\newlabel#1#2{\newlabelxx{#1}#2} | ||
| 9 | \gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}} | ||
| 10 | \AtEndDocument{\ifx\hyper@anchor\@undefined | ||
| 11 | \let\contentsline\oldcontentsline | ||
| 12 | \let\newlabel\oldnewlabel | ||
| 13 | \fi} | ||
| 14 | \fi} | ||
| 15 | \global\let\hyper@last\relax | ||
| 16 | \gdef\HyperFirstAtBeginDocument#1{#1} | ||
| 17 | \providecommand\HyField@AuxAddToFields[1]{} | ||
| 18 | \providecommand\HyField@AuxAddToCoFields[2]{} | ||
| 19 | \providecommand \oddpage@label [2]{} | ||
| 20 | \@writefile{toc}{\contentsline {section}{\numberline {1}The Jupyter Notebook}{1}{section.1}\protected@file@percent } | ||
| 21 | \newlabel{the-jupyter-notebook}{{1}{1}{The Jupyter Notebook}{section.1}{}} | ||
| 22 | \@writefile{toc}{\contentsline {subsection}{\numberline {1.1}Cells}{1}{subsection.1.1}\protected@file@percent } | ||
| 23 | \newlabel{cells}{{1.1}{1}{Cells}{subsection.1.1}{}} | ||
| 24 | \@writefile{toc}{\contentsline {subsection}{\numberline {1.2}Markdown}{1}{subsection.1.2}\protected@file@percent } | ||
| 25 | \newlabel{markdown}{{1.2}{1}{Markdown}{subsection.1.2}{}} | ||
| 26 | \@writefile{toc}{\contentsline {section}{\numberline {2}Symbolic expressions}{2}{section.2}\protected@file@percent } | ||
| 27 | \newlabel{symbolic-expressions}{{2}{2}{Symbolic expressions}{section.2}{}} | ||
| 28 | \@writefile{toc}{\contentsline {subsection}{\numberline {2.1}Mathematical variables}{2}{subsection.2.1}\protected@file@percent } | ||
| 29 | \newlabel{mathematical-variables}{{2.1}{2}{Mathematical variables}{subsection.2.1}{}} | ||
| 30 | \gdef \LT@i {\LT@entry | ||
| 31 | {1}{103.45363pt}\LT@entry | ||
| 32 | {1}{76.13344pt}\LT@entry | ||
| 33 | {2}{68.2421pt}} | ||
| 34 | \@writefile{toc}{\contentsline {section}{\numberline {3}Basic rings and fields}{3}{section.3}\protected@file@percent } | ||
| 35 | \newlabel{basic-rings-and-fields}{{3}{3}{Basic rings and fields}{section.3}{}} | ||
| 36 | \@writefile{toc}{\contentsline {subsection}{\numberline {3.1}Parents and coercion}{3}{subsection.3.1}\protected@file@percent } | ||
| 37 | \newlabel{parents-and-coercion}{{3.1}{3}{Parents and coercion}{subsection.3.1}{}} | ||
| 38 | \@writefile{toc}{\contentsline {section}{\numberline {4}Polynomial rings}{4}{section.4}\protected@file@percent } | ||
| 39 | \newlabel{polynomial-rings}{{4}{4}{Polynomial rings}{section.4}{}} | ||
| 40 | \@writefile{toc}{\contentsline {subsection}{\numberline {4.1}Operations on polynomials}{4}{subsection.4.1}\protected@file@percent } | ||
| 41 | \newlabel{operations-on-polynomials}{{4.1}{4}{Operations on polynomials}{subsection.4.1}{}} | ||
| 42 | \@writefile{toc}{\contentsline {section}{\numberline {5}Matrices and vectors}{5}{section.5}\protected@file@percent } | ||
| 43 | \newlabel{matrices-and-vectors}{{5}{5}{Matrices and vectors}{section.5}{}} | ||
| 44 | \@writefile{toc}{\contentsline {section}{\numberline {6}Number Theory}{8}{section.6}\protected@file@percent } | ||
| 45 | \newlabel{number-theory}{{6}{8}{Number Theory}{section.6}{}} | ||
| 46 | \@writefile{toc}{\contentsline {subsection}{\numberline {6.1}Primes}{8}{subsection.6.1}\protected@file@percent } | ||
| 47 | \newlabel{primes}{{6.1}{8}{Primes}{subsection.6.1}{}} | ||
| 48 | \@writefile{toc}{\contentsline {subsection}{\numberline {6.2}The Chinese remainder theorem (CRT)}{9}{subsection.6.2}\protected@file@percent } | ||
| 49 | \newlabel{the-chinese-remainder-theorem-crt}{{6.2}{9}{The Chinese remainder theorem (CRT)}{subsection.6.2}{}} | ||
| 50 | \@writefile{toc}{\contentsline {section}{\numberline {7}Cryptography: RSA}{10}{section.7}\protected@file@percent } | ||
| 51 | \newlabel{cryptography-rsa}{{7}{10}{Cryptography: RSA}{section.7}{}} | ||
| 52 | \@writefile{toc}{\contentsline {subsection}{\numberline {7.1}Public-key cryptography}{10}{subsection.7.1}\protected@file@percent } | ||
| 53 | \newlabel{public-key-cryptography}{{7.1}{10}{Public-key cryptography}{subsection.7.1}{}} | ||
| 54 | \@writefile{toc}{\contentsline {subsection}{\numberline {7.2}RSA}{10}{subsection.7.2}\protected@file@percent } | ||
| 55 | \newlabel{rsa}{{7.2}{10}{RSA}{subsection.7.2}{}} | ||
| 56 | \gdef \@abspage@last{12} | ||