Uses of Class
edu.jas.poly.Word

Packages that use Word

Package	Description
edu.jas.application	Groebner base application package.
edu.jas.gb	Groebner bases package.
edu.jas.poly	Generic coefficients polynomial package.

Uses of Word in edu.jas.application

Methods in edu.jas.application with parameters of type Word

Modifier and Type	Method	Description
WordResidue<C>	WordResidue.multiply(Word e)	WordResidue multiplication.

Uses of Word in edu.jas.gb

Fields in edu.jas.gb with type parameters of type Word

Modifier and Type	Field	Description
protected final SortedMap<Word, LinkedList<WordPair<C>>>	OrderedWordPairlist.pairlist

Methods in edu.jas.gb with parameters of type Word

Modifier and Type	Method	Description
boolean	OrderedWordPairlist.criterion3(int i, int j, Word eij)	GB criterium 3.
GenWordPolynomial<C>	WordReduction.SPolynomial(C a, Word l1, GenWordPolynomial<C> A, Word r1, C b, Word l2, GenWordPolynomial<C> B, Word r2)	S-Polynomials of non-commutative polynomials.
GenWordPolynomial<C>	WordReductionAbstract.SPolynomial(C a, Word l1, GenWordPolynomial<C> A, Word r1, C b, Word l2, GenWordPolynomial<C> B, Word r2)	S-Polynomials of non-commutative polynomials.

Uses of Word in edu.jas.poly

Classes in edu.jas.poly that implement interfaces with type arguments of type Word

Modifier and Type	Class	Description
final class	Word	Word implements strings of letters for polynomials.
final class	WordFactory	WordFactory implements alphabet related methods.
static class	WordFactory.WordComparator	Comparator for Words.

Fields in edu.jas.poly declared as Word

Modifier and Type	Field	Description
final Word	WordMonomial.e	Word of monomial.
final Word	Overlap.l1
final Word	Overlap.l2
final Word	WordFactory.ONE	The empty word for this monoid.
final Word	Overlap.r1
final Word	Overlap.r2
final Word	GenWordPolynomialRing.wone	The constant empty word exponent for this ring.

Fields in edu.jas.poly with type parameters of type Word

Modifier and Type	Field	Description
protected final Iterator<Map.Entry<Word,C>>	WordPolyIterator.ms	Internal iterator over polynomial map.
(package private) final SortedMap<Word,C>	GenWordPolynomial.val	The data structure for polynomials.

Methods in edu.jas.poly that return Word

Modifier and Type	Method	Description
Word	WordFactory.contract(Word w)	Contract word to this word factory.
Word	Word.copy()	Copy this.
Word	WordFactory.copy(Word w)	Copy word.
Word	Word.divide(Word V)	Word divide.
Word	Word.divideLeft(Word V)	Word divide left.
Word	Word.divideRight(Word V)	Word divide right.
Word[]	Word.divideWord(Word V)	Word divide with prefix and suffix.
Word[]	Word.divideWord(Word V, boolean first)	Word divide with prefix and suffix.
Word	WordFactory.fromInteger(long a)	Get the Element for a.
Word	WordFactory.fromInteger(BigInteger a)	Get the Element for a.
Word	WordFactory.getONE()	Get the one element, the empty word.
Word	Word.inverse()	Word inverse.
Word	Word.lcm(Word V)	Word pseudo least common multiple.
Word	GenWordPolynomial.leadingWord()	Leading word.
Word	Word.multiply(Word V)	Word multiplication.
Word	WordFactory.parse(Reader r)	Parse from Reader.
Word	WordFactory.parse(String s)	Parse from String.
Word[]	Word.quotientRemainder(Word S)	Quotient and remainder by division of this by S.
Word	WordFactory.random(int n)	Generate a random Element with size less equal to n.
Word	WordFactory.random(int n, Random random)	Generate a random Element with size less equal to n.
Word	Word.reductum()	Word without leading exponent vector.
Word	Word.remainder(Word V)	Word remainder.
Word	GenWordPolynomial.trailingWord()	Trailing word.
Word	WordFactory.valueOf(ExpVector e)	Get the Element for an ExpVector.
Word	WordFactory.valueOf(Word w)	Get the element from an other word.
Word	WordMonomial.word()	Getter for word.

Methods in edu.jas.poly that return types with arguments of type Word

Modifier and Type	Method	Description
MonoidFactory<Word>	Word.factory()	Get the corresponding element factory.
List<Word>	WordFactory.generators()	Get a list of the generating elements.
SortedMap<Word,C>	GenWordPolynomial.getMap()	Word to coefficient map of GenWordPolynomial.
Map.Entry<Word,C>	GenWordPolynomial.leadingMonomial()	Leading monomial.
Iterator<Word>	GenWordPolynomial.wordIterator()	Iterator over words.

Methods in edu.jas.poly with parameters of type Word

Modifier and Type	Method	Description
C	GenWordPolynomial.coefficient(Word e)	Coefficient.
abstract int	WordFactory.WordComparator.compare(Word e1, Word e2)
int	Word.compareTo(Word V)	Word compareTo.
Word	WordFactory.contract(Word w)	Contract word to this word factory.
Word	WordFactory.copy(Word w)	Copy word.
Word	Word.divide(Word V)	Word divide.
Word	Word.divideLeft(Word V)	Word divide left.
Word	Word.divideRight(Word V)	Word divide right.
boolean	Word.divides(Word V)	Word divides test.
Word[]	Word.divideWord(Word V)	Word divide with prefix and suffix.
Word[]	Word.divideWord(Word V, boolean first)	Word divide with prefix and suffix.
void	GenWordPolynomial.doPutToMap(Word e, C c)	Put a Word to coefficient entry into the internal map of this GenWordPolynomial.
void	GenWordPolynomial.doRemoveFromMap(Word e, C c)	Remove a Word to coefficient entry from the internal map of this GenWordPolynomial.
int	Word.gradCompareTo(Word V)	Word graded comparison.
int	Word.gradInvlexCompareTo(Word V)	Word graded comparison.
boolean	Overlap.isOverlap(Word u, Word v)	Is word overlap.
boolean	OverlapList.isOverlap(Word u, Word v)	Is word overlap list.
boolean	Word.isOverlap(Overlap ol, Word V)	Is word overlap.
Word	Word.lcm(Word V)	Word pseudo least common multiple.
boolean	Word.multipleOf(Word V)	Word multiple test.
GenWordPolynomial<C>	GenWordPolynomial.multiply(C s, Word e)	GenWordPolynomial multiplication.
GenWordPolynomial<C>	GenWordPolynomial.multiply(C s, Word e, C t, Word f)	GenWordPolynomial left and right multiplication.
GenWordPolynomial<C>	GenWordPolynomial.multiply(C s, Word e, Word f)	GenWordPolynomial left and right multiplication.
GenWordPolynomial<C>	GenWordPolynomial.multiply(Word e)	GenWordPolynomial multiplication.
GenWordPolynomial<C>	GenWordPolynomial.multiply(Word e, Word f)	GenWordPolynomial left and right multiplication.
Word	Word.multiply(Word V)	Word multiplication.
OverlapList	Word.overlap(Word V)	Word overlap list.
Word[]	Word.quotientRemainder(Word S)	Quotient and remainder by division of this by S.
Word	Word.remainder(Word V)	Word remainder.
GenWordPolynomial<C>	GenWordPolynomial.subtract(C a, Word e)	GenWordPolynomial subtraction.
GenWordPolynomial<C>	GenWordPolynomial.sum(C a, Word e)	GenWordPolynomial addition.
GenWordPolynomial<C>	GenWordPolynomialRing.valueOf(C a, Word e)	Get a GenWordPolynomial<C> element from a coefficient and a word.
GenWordPolynomial<C>	GenWordPolynomialRing.valueOf(Word e)	Get a GenWordPolynomial<C> element from a word.
Word	WordFactory.valueOf(Word w)	Get the element from an other word.

Method parameters in edu.jas.poly with type arguments of type Word

Modifier and Type	Method	Description
void	GenWordPolynomial.doPutToMap(SortedMap<Word,C> vals)	Put an a sorted map of words to coefficients into the internal map of this GenWordPolynomial.
GenWordPolynomial<C>	GenWordPolynomial.multiply(Map.Entry<Word,C> m)	GenWordPolynomial multiplication.

Constructors in edu.jas.poly with parameters of type Word

Modifier	Constructor	Description
	GenWordPolynomial(GenWordPolynomialRing<C> r, C c, Word e)	Constructor for GenWordPolynomial c * xe.
	GenWordPolynomial(GenWordPolynomialRing<C> r, Word e)	Constructor for GenWordPolynomial xe.
	Overlap(Word l1, Word r1, Word l2, Word r2)	Constructor.
	WordMonomial(Word e, C c)	Constructor of word monomial.

Constructor parameters in edu.jas.poly with type arguments of type Word

Modifier	Constructor	Description
protected	GenWordPolynomial(GenWordPolynomialRing<C> r, SortedMap<Word,C> v)	Constructor for GenWordPolynomial.
private	GenWordPolynomial(GenWordPolynomialRing<C> r, TreeMap<Word,C> t)	Private constructor for GenWordPolynomial.
	WordMonomial(Map.Entry<Word,C> me)	Constructor of word monomial.
	WordPolyIterator(SortedMap<Word,C> m)	Constructor of polynomial iterator.