\contentsline {chapter}{\numberline {1}\leavevmode {\color {Chapter }Introduction}}{4}{chapter.1}
\contentsline {section}{\numberline {1.1}\leavevmode {\color {Chapter }Overview over this manual}}{4}{section.1.1}
\contentsline {section}{\numberline {1.2}\leavevmode {\color {Chapter }Installation of the \textsf {GaussForHomalg} Package}}{4}{section.1.2}
\contentsline {chapter}{\numberline {2}\leavevmode {\color {Chapter }Usage}}{5}{chapter.2}
\contentsline {chapter}{\numberline {3}\leavevmode {\color {Chapter }\textsf {GaussForHomalg} methods and functions}}{7}{chapter.3}
\contentsline {section}{\numberline {3.1}\leavevmode {\color {Chapter }The field of rationals}}{7}{section.3.1}
\contentsline {subsection}{\numberline {3.1.1}\leavevmode {\color {Chapter }HomalgFieldOfRationals (constructor for the field of rationals)}}{7}{subsection.3.1.1}
\contentsline {section}{\numberline {3.2}\leavevmode {\color {Chapter }The Tools}}{7}{section.3.2}
\contentsline {subsection}{\numberline {3.2.1}\leavevmode {\color {Chapter }ZeroMatrix}}{7}{subsection.3.2.1}
\contentsline {subsection}{\numberline {3.2.2}\leavevmode {\color {Chapter }IdentityMatrix}}{7}{subsection.3.2.2}
\contentsline {subsection}{\numberline {3.2.3}\leavevmode {\color {Chapter }CopyMatrix}}{7}{subsection.3.2.3}
\contentsline {subsection}{\numberline {3.2.4}\leavevmode {\color {Chapter }ImportMatrix}}{8}{subsection.3.2.4}
\contentsline {subsection}{\numberline {3.2.5}\leavevmode {\color {Chapter }Involution}}{8}{subsection.3.2.5}
\contentsline {subsection}{\numberline {3.2.6}\leavevmode {\color {Chapter }CertainRows}}{8}{subsection.3.2.6}
\contentsline {subsection}{\numberline {3.2.7}\leavevmode {\color {Chapter }CertainColumns}}{8}{subsection.3.2.7}
\contentsline {subsection}{\numberline {3.2.8}\leavevmode {\color {Chapter }UnionOfRows}}{8}{subsection.3.2.8}
\contentsline {subsection}{\numberline {3.2.9}\leavevmode {\color {Chapter }UnionOfColumns}}{8}{subsection.3.2.9}
\contentsline {subsection}{\numberline {3.2.10}\leavevmode {\color {Chapter }DiagMat}}{9}{subsection.3.2.10}
\contentsline {subsection}{\numberline {3.2.11}\leavevmode {\color {Chapter }KroneckerMat}}{9}{subsection.3.2.11}
\contentsline {subsection}{\numberline {3.2.12}\leavevmode {\color {Chapter }DualKroneckerMat}}{9}{subsection.3.2.12}
\contentsline {subsection}{\numberline {3.2.13}\leavevmode {\color {Chapter }Compose}}{9}{subsection.3.2.13}
\contentsline {subsection}{\numberline {3.2.14}\leavevmode {\color {Chapter }NrRows}}{9}{subsection.3.2.14}
\contentsline {subsection}{\numberline {3.2.15}\leavevmode {\color {Chapter }NrColumns}}{9}{subsection.3.2.15}
\contentsline {subsection}{\numberline {3.2.16}\leavevmode {\color {Chapter }IsZeroMatrix}}{9}{subsection.3.2.16}
\contentsline {subsection}{\numberline {3.2.17}\leavevmode {\color {Chapter }IsDiagonalMatrix}}{10}{subsection.3.2.17}
\contentsline {subsection}{\numberline {3.2.18}\leavevmode {\color {Chapter }ZeroRows}}{10}{subsection.3.2.18}
\contentsline {subsection}{\numberline {3.2.19}\leavevmode {\color {Chapter }ZeroColumns}}{10}{subsection.3.2.19}
\contentsline {section}{\numberline {3.3}\leavevmode {\color {Chapter }The Basic Functions and \textsf {homalg} table creation}}{10}{section.3.3}
\contentsline {subsection}{\numberline {3.3.1}\leavevmode {\color {Chapter }RowReducedEchelonForm}}{10}{subsection.3.3.1}
\contentsline {subsection}{\numberline {3.3.2}\leavevmode {\color {Chapter }CreateHomalgTable}}{10}{subsection.3.3.2}
\contentsline {section}{\numberline {3.4}\leavevmode {\color {Chapter }Matrix entry manipulation}}{10}{section.3.4}
\contentsline {subsection}{\numberline {3.4.1}\leavevmode {\color {Chapter }MatElm}}{11}{subsection.3.4.1}
\contentsline {subsection}{\numberline {3.4.2}\leavevmode {\color {Chapter }SetMatElm}}{11}{subsection.3.4.2}
\contentsline {subsection}{\numberline {3.4.3}\leavevmode {\color {Chapter }AddToMatElm}}{11}{subsection.3.4.3}
\contentsline {chapter}{\numberline {4}\leavevmode {\color {Chapter }Example}}{12}{chapter.4}
\contentsline {section}{\numberline {4.1}\leavevmode {\color {Chapter }HomHom}}{12}{section.4.1}
\contentsline {chapter}{\numberline {A}\leavevmode {\color {Chapter }An Overview of the \textsf {GaussForHomalg} package source code}}{17}{appendix.A}
\contentsline {chapter}{References}{18}{appendix*.5}
\contentsline {chapter}{Index}{19}{section*.6}
