From d6c61d988bfa4255baf9cdae42db59ebee38363f Mon Sep 17 00:00:00 2001 From: Sebastiano Tronto Date: Tue, 25 May 2021 17:10:49 +0200 Subject: Added files --- src/Lecture5/notebook/7-SageAlgebra.aux | 56 +++++++++++++++++++++++++++++++++ 1 file changed, 56 insertions(+) create mode 100644 src/Lecture5/notebook/7-SageAlgebra.aux (limited to 'src/Lecture5/notebook/7-SageAlgebra.aux') 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 @@ -0,0 +1,56 @@ +\relax +\providecommand\hyper@newdestlabel[2]{} +\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument} +\HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined +\global\let\oldcontentsline\contentsline +\gdef\contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}} +\global\let\oldnewlabel\newlabel +\gdef\newlabel#1#2{\newlabelxx{#1}#2} +\gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}} +\AtEndDocument{\ifx\hyper@anchor\@undefined +\let\contentsline\oldcontentsline +\let\newlabel\oldnewlabel +\fi} +\fi} +\global\let\hyper@last\relax +\gdef\HyperFirstAtBeginDocument#1{#1} +\providecommand\HyField@AuxAddToFields[1]{} +\providecommand\HyField@AuxAddToCoFields[2]{} +\providecommand \oddpage@label [2]{} +\@writefile{toc}{\contentsline {section}{\numberline {1}The Jupyter Notebook}{1}{section.1}\protected@file@percent } +\newlabel{the-jupyter-notebook}{{1}{1}{The Jupyter Notebook}{section.1}{}} +\@writefile{toc}{\contentsline {subsection}{\numberline {1.1}Cells}{1}{subsection.1.1}\protected@file@percent } +\newlabel{cells}{{1.1}{1}{Cells}{subsection.1.1}{}} +\@writefile{toc}{\contentsline {subsection}{\numberline {1.2}Markdown}{1}{subsection.1.2}\protected@file@percent } +\newlabel{markdown}{{1.2}{1}{Markdown}{subsection.1.2}{}} +\@writefile{toc}{\contentsline {section}{\numberline {2}Symbolic expressions}{2}{section.2}\protected@file@percent } +\newlabel{symbolic-expressions}{{2}{2}{Symbolic expressions}{section.2}{}} +\@writefile{toc}{\contentsline {subsection}{\numberline {2.1}Mathematical variables}{2}{subsection.2.1}\protected@file@percent } +\newlabel{mathematical-variables}{{2.1}{2}{Mathematical variables}{subsection.2.1}{}} +\gdef \LT@i {\LT@entry + {1}{103.45363pt}\LT@entry + {1}{76.13344pt}\LT@entry + {2}{68.2421pt}} +\@writefile{toc}{\contentsline {section}{\numberline {3}Basic rings and fields}{3}{section.3}\protected@file@percent } +\newlabel{basic-rings-and-fields}{{3}{3}{Basic rings and fields}{section.3}{}} +\@writefile{toc}{\contentsline {subsection}{\numberline {3.1}Parents and coercion}{3}{subsection.3.1}\protected@file@percent } +\newlabel{parents-and-coercion}{{3.1}{3}{Parents and coercion}{subsection.3.1}{}} +\@writefile{toc}{\contentsline {section}{\numberline {4}Polynomial rings}{4}{section.4}\protected@file@percent } +\newlabel{polynomial-rings}{{4}{4}{Polynomial rings}{section.4}{}} +\@writefile{toc}{\contentsline {subsection}{\numberline {4.1}Operations on polynomials}{4}{subsection.4.1}\protected@file@percent } +\newlabel{operations-on-polynomials}{{4.1}{4}{Operations on polynomials}{subsection.4.1}{}} +\@writefile{toc}{\contentsline {section}{\numberline {5}Matrices and vectors}{5}{section.5}\protected@file@percent } +\newlabel{matrices-and-vectors}{{5}{5}{Matrices and vectors}{section.5}{}} +\@writefile{toc}{\contentsline {section}{\numberline {6}Number Theory}{8}{section.6}\protected@file@percent } +\newlabel{number-theory}{{6}{8}{Number Theory}{section.6}{}} +\@writefile{toc}{\contentsline {subsection}{\numberline {6.1}Primes}{8}{subsection.6.1}\protected@file@percent } +\newlabel{primes}{{6.1}{8}{Primes}{subsection.6.1}{}} +\@writefile{toc}{\contentsline {subsection}{\numberline {6.2}The Chinese remainder theorem (CRT)}{9}{subsection.6.2}\protected@file@percent } +\newlabel{the-chinese-remainder-theorem-crt}{{6.2}{9}{The Chinese remainder theorem (CRT)}{subsection.6.2}{}} +\@writefile{toc}{\contentsline {section}{\numberline {7}Cryptography: RSA}{10}{section.7}\protected@file@percent } +\newlabel{cryptography-rsa}{{7}{10}{Cryptography: RSA}{section.7}{}} +\@writefile{toc}{\contentsline {subsection}{\numberline {7.1}Public-key cryptography}{10}{subsection.7.1}\protected@file@percent } +\newlabel{public-key-cryptography}{{7.1}{10}{Public-key cryptography}{subsection.7.1}{}} +\@writefile{toc}{\contentsline {subsection}{\numberline {7.2}RSA}{10}{subsection.7.2}\protected@file@percent } +\newlabel{rsa}{{7.2}{10}{RSA}{subsection.7.2}{}} +\gdef \@abspage@last{12} -- cgit v1.3