A B C D E F G H I L M N O P Q R S T U Z

I

IntegerRing - Class in com.perisic.ring

The ring of Integers.

inv(RingElt) - Method in class com.perisic.ring.DoubleField

Multiplicative Inverse.

inv(RingElt) - Method in class com.perisic.ring.F2Field

Returns b^-1.

inv(RingElt) - Method in class com.perisic.ring.IntegerRing

Returns b for b == 1 and b == -1.

inv(RingElt) - Method in class com.perisic.ring.Matrix2x2Ring

Returns the inverse of a matrix m1.

inv(RingElt) - Method in class com.perisic.ring.ModularIntegerRing

Returns b^-1 mod m.

inv(RingElt) - Method in class com.perisic.ring.ModularRing

Returns the inverse b.

inv(RingElt) - Method in class com.perisic.ring.PolynomialRing

Returns 1/b as an element of this Ring.

inv(RingElt) - Method in class com.perisic.ring.QuotientField

Returns b^-1.

inv(RingElt) - Method in class com.perisic.ring.RationalField

Returns the multiplicative inverse.

inv(RingElt) - Method in class com.perisic.ring.Ring

Returns b^-1.

inv(RingElt) - Method in class com.perisic.ring.UniversalRing

Multiplicative Inverse.

isEuclidian() - Method in class com.perisic.ring.IntegerRing

Returns true as Z is an Euclidian ring.

isEuclidian() - Method in class com.perisic.ring.PolynomialRing

true if the coefficient ring is a field.

isEuclidian() - Method in class com.perisic.ring.Ring

Is the ring Euclidian? By default false.

isField() - Method in class com.perisic.ring.CyclotomicField

returns true.

isField() - Method in class com.perisic.ring.DoubleField

Returns true.

isField() - Method in class com.perisic.ring.F2Field

isField() - Method in class com.perisic.ring.FinitePrimeField

returns true.

isField() - Method in class com.perisic.ring.Matrix2x2Ring

Returns false.

isField() - Method in class com.perisic.ring.QuotientField

Returns true.

isField() - Method in class com.perisic.ring.RationalField

Returns true.

isField() - Method in class com.perisic.ring.Ring

Is the ring a field? By default false.

isField() - Method in class com.perisic.ring.UniversalCyclotomicField

returns true, as this is a field.

isIntegral(RingElt) - Method in class com.perisic.ring.QuotientField

true if the denominator is one.

isIntegral(RingElt) - Static method in class com.perisic.ring.RationalField

true if denominator of b equals 1.

isUFD() - Method in class com.perisic.ring.PolynomialRing

true if the coefficient ring and therefore also the polynomial ring is an uniqe factorization domain.

isUFD() - Method in class com.perisic.ring.Ring

Is the ring a UFD (unique factorization domain)? By default false.

isUFD() - Method in class com.perisic.ring.UniversalPolynomialRing

true if the coefficient ring and therefore also the polynomial ring is an uniqe factorization domain.