nilgiri.math
Interface Group<X>

Type Parameters:

X - A set forms a group.

All Known Subinterfaces:

CommutativeGroup<X>, CommutativeRing<X>, ComplexNumber<R,X>, DifferentialMatrixFunction<X>, DifferentialVectorFunction<X>, Field<X>, RealNumber<X>, Ring<X>

All Known Implementing Classes:

AbstractBinaryFunction, AbstractUnaryFunction, Constant, DifferentialFunction, DoubleComplex, DoubleReal, Inverse, Negative, One, PolynomialTerm, Product, Sum, Variable, Zero

public interface Group<X>

A class X implements the Group<X> interface indicates that X has properties of being a group.

Method Summary

X	minus(X i_v) Returns an object of X whose value is (this - i_v).
X	mul(long i_n) Returns an object of X whose value is the summation (sum_{1}^{i_n}(this)).
X	negate() Returns an object of X whose value is (- this).
X	plus(X i_v) Returns an object of X whose value is (this + i_v).

Method Detail

negate

X negate()

Returns an object of X whose value is (- this).

Returns:

- this

plus

X plus(X i_v)

Returns an object of X whose value is (this + i_v).

Parameters:

i_v -

Returns:

this + i_v

minus

X minus(X i_v)

Returns an object of X whose value is (this - i_v).

Parameters:

i_v -

Returns:

this - i_v

mul

X mul(long i_n)

Returns an object of X whose value is the summation (sum_{1}^{i_n}(this)). Group<X&rt guarantees the results for natural numbers only.

Parameters:

i_n - a natural number

Returns:

sum_{1}^{i_n}(this)