Quelle Matrices.xml Sprache: XML

<?xml version="1.0" encoding="UTF-8"?>



<Chapter Label="Matrices">
<Heading>Matrices</Heading>

<Section Label="Matrices:Category">
<Heading>Matrices: Category and Representations</Heading>

<#Include Label="IsHomalgMatrix">

<#Include Label="IsHomalgInternalMatrixRep">

</Section>

<Section Label="Matrices:Constructors">
<Heading>Matrices: Constructors</Heading>

<#Include Label="HomalgInitialMatrix">
<#Include Label="HomalgInitialIdentityMatrix">
<#Include Label="HomalgZeroMatrix">
<#Include Label="HomalgIdentityMatrix">
<#Include Label="HomalgVoidMatrix">
<#Include Label="HomalgMatrix">
<#Include Label="HomalgMatrixListList">
<#Include Label="HomalgRowVector">
<#Include Label="HomalgColumnVector">
<#Include Label="HomalgDiagonalMatrix">
<#Include Label="\*:MatrixBaseChange">
<#Include Label="CoercedMatrix">

</Section>

<Section Label="Matrices:Properties">
<Heading>Matrices: Properties</Heading>

<#Include Label="IsZero:matrix">
<#Include Label="IsOne:matrix">
<#Include Label="IsUnitFree">
<#Include Label="IsPermutationMatrix">
<#Include Label="IsSpecialSubidentityMatrix">
<#Include Label="IsSubidentityMatrix">
<#Include Label="IsLeftRegular">
<#Include Label="IsRightRegular">
<#Include Label="IsInvertibleMatrix">
<#Include Label="IsLeftInvertibleMatrix">
<#Include Label="IsRightInvertibleMatrix">
<#Include Label="IsEmptyMatrix">
<#Include Label="IsDiagonalMatrix">
<#Include Label="IsScalarMatrix">
<#Include Label="IsUpperTriangularMatrix">
<#Include Label="IsLowerTriangularMatrix">
<#Include Label="IsStrictUpperTriangularMatrix">
<#Include Label="IsStrictLowerTriangularMatrix">
<#Include Label="IsUpperStairCaseMatrix">
<#Include Label="IsLowerStairCaseMatrix">
<#Include Label="IsTriangularMatrix">
<#Include Label="IsBasisOfRowsMatrix">
<#Include Label="IsBasisOfColumnsMatrix">
<#Include Label="IsReducedBasisOfRowsMatrix">
<#Include Label="IsReducedBasisOfColumnsMatrix">
<#Include Label="IsInitialMatrix">
<#Include Label="IsInitialIdentityMatrix">
<#Include Label="IsVoidMatrix">

</Section>

<Section Label="Matrices:Attributes">
<Heading>Matrices: Attributes</Heading>

<#Include Label="NumberRows">
<#Include Label="NumberColumns">
<#Include Label="DeterminantMat">
<#Include Label="ZeroRows">
<#Include Label="ZeroColumns">
<#Include Label="NonZeroRows">
<#Include Label="NonZeroColumns">
<#Include Label="PositionOfFirstNonZeroEntryPerRow">
<#Include Label="PositionOfFirstNonZeroEntryPerColumn">
<#Include Label="RowRankOfMatrix">
<#Include Label="ColumnRankOfMatrix">
<#Include Label="LeftInverse">
<#Include Label="RightInverse">

<#Include Label="CoefficientsOfUnreducedNumeratorOfHilbertPoincareSeries">
<#Include Label="CoefficientsOfNumeratorOfHilbertPoincareSeries">
<#Include Label="UnreducedNumeratorOfHilbertPoincareSeries">
<#Include Label="NumeratorOfHilbertPoincareSeries">
<#Include Label="HilbertPoincareSeries">
<#Include Label="HilbertPolynomial">
<#Include Label="AffineDimension">
<#Include Label="AffineDegree">
<#Include Label="ProjectiveDegree">
<#Include Label="ConstantTermOfHilbertPolynomial">
<#Include Label="MatrixOfSymbols">

</Section>

<Section Label="Matrices:Operations">
<Heading>Matrices: Operations and Functions</Heading>

<#Include Label="HomalgRing:matrix">

<#Include Label="LeftInverse:method">
<#Include Label="RightInverse:method">

<#Include Label="LeftInverseLazy">
<#Include Label="RightInverseLazy">

<#Include Label="Involution">
<#Include Label="TransposedMatrix">
<#Include Label="CertainRows">
<#Include Label="CertainColumns">
<#Include Label="UnionOfRows">
<#Include Label="UnionOfColumns">
<#Include Label="ConvertRowToMatrix">
<#Include Label="ConvertColumnToMatrix">
<#Include Label="ConvertMatrixToRow">
<#Include Label="ConvertMatrixToColumn">
<#Include Label="DiagMat">
<#Include Label="KroneckerMat">
<#Include Label="DualKroneckerMat">
<#Include Label="MulMat">
<#Include Label="AddMat">
<#Include Label="SubMat">
<#Include Label="Compose:matrix">

<#Include Label="EQ:matrix">

<#Include Label="GetColumnIndependentUnitPositions">
<#Include Label="GetRowIndependentUnitPositions">
<#Include Label="GetUnitPosition">
<#Include Label="Eliminate">

<#Include Label="BasisOfRowModule">
<#Include Label="BasisOfColumnModule">
<#Include Label="DecideZeroRows">
<#Include Label="DecideZeroColumns">
<#Include Label="SyzygiesGeneratorsOfRows">
<#Include Label="SyzygiesGeneratorsOfColumns">

<#Include Label="RelativeSyzygiesGeneratorsOfRows">
<#Include Label="RelativeSyzygiesGeneratorsOfColumns">

<#Include Label="ReducedBasisOfRowModule">
<#Include Label="ReducedBasisOfColumnModule">
<#Include Label="ReducedSyzygiesGeneratorsOfRows">
<#Include Label="ReducedSyzygiesGeneratorsOfColumns">

<#Include Label="BasisOfRowsCoeff">
<#Include Label="BasisOfColumnsCoeff">
<#Include Label="DecideZeroRowsEffectively">
<#Include Label="DecideZeroColumnsEffectively">

<#Include Label="BasisOfRows">
<#Include Label="BasisOfColumns">
<#Include Label="DecideZero:matrix_rel">
<#Include Label="SyzygiesOfRows">
<#Include Label="SyzygiesOfColumns">

<#Include Label="ReducedSyzygiesOfRows">
<#Include Label="ReducedSyzygiesOfColumns">

<#Include Label="RightDivide">
<#Include Label="LeftDivide">
<#Include Label="RelativeRightDivide">
<#Include Label="RelativeLeftDivide">
<#Include Label="SafeRightDivide">
<#Include Label="SafeLeftDivide">
<#Include Label="UniqueRightDivide">
<#Include Label="UniqueLeftDivide">

<#Include Label="GenerateSameRowModule">
<#Include Label="GenerateSameColumnModule">

<#Include Label="SimplifyHomalgMatrixByLeftAndRightMultiplicationWithInvertibleMatrices">
<#Include Label="SimplifyHomalgMatrixByLeftMultiplicationWithInvertibleMatrix">
<#Include Label="SimplifyHomalgMatrixByRightMultiplicationWithInvertibleMatrix">

<#Include Label="CoefficientsWithGivenMonomials">

</Section>



</Chapter>

quality92%

¤ Dauer der Verarbeitung: 0.13 Sekunden (vorverarbeitet) ¤

Wurzel

Suchen

Beweissystem der NASA

Beweissystem Isabelle

NIST Cobol Testsuite

Cephes Mathematical Library

Wiener Entwicklungsmethode

Haftungshinweis

Die Informationen auf dieser Webseite wurden nach bestem Wissen sorgfältig zusammengestellt. Es wird jedoch weder Vollständigkeit, noch Richtigkeit, noch Qualität der bereit gestellten Informationen zugesichert.

Bemerkung:

Die farbliche Syntaxdarstellung ist noch experimentell.