Next:
History of the Production
Up:
NCBIGDOC
Previous:
Singular Perturbation Demo
Contents
Index
DETAILS AND OLD OR NEW COMMANDS -ONLY ON THE WEB
Subsections
History of the Production of a GB and Playing By Numbers
Play By Numbers
WhatAreGBNumbers[]
WhatAreNumbers[]
WhatIsPartialGB[aListOfIntegers]
NumbersFromHistory[aPolynomial,history]
History of the production of a GB
WhatIsHistory[aListOfIntegers]
WhatIsKludgeHistory[aListOfIntegers]
More on the History of how NCMakeGB produced its answer
The DAG associated with a History
Commands for Making Small Bases for Ideals: Remove Redundant
Removing excess relations
Introduction
RemoveRedundant[]
RemoveRedundant[aListOfPolynomials,history]
RemoveRedundentByCategory[]
RemoveRedundentByCategory[ aListOfPolynomials, history]
Discussion of RemoveRedundent command
Examples
First Example
Second Example
Smaller Bases and the Spreadsheet command
NCXFindChangeOfVariables: The Long Description
Details of the Algorithm
Preparation
Collect and extract
Eliminate candidates which are too small
Eliminate purely numerical terms from candidates - Default is Off
Sort list of candidates by number of terms
Multiply through by monomials - Default is off
Run the Grobner basis algorithm
Options
Future Improvements
Finding Coefficients of Variables in a Polynomial
NCCoefficientList[Expression, aListOfIndeterminants]
Main Change Of Variables Command
NCXFindChangeOfVariables[ aListofPolynomials, anInteger, aString, Options]
NCXPossibleChangeOfVariables[ aListofPolynomials, Options]
Less Valuable Change of Variables Commands
NCXMultiplyByMonomials[ aVerySpecialList]
NCXAllPossibleChangeOfVariables[ aListOfPolynomials]
Representing Noncommutative Expressions with Commutative Ones.
NCXRepresent[aListOfExpressions, aListOfVariables, aListOfDims, aListOfFunctions, aListOfExtraRules]
NCAlgebra Project 2002-09-09
