monoid

A Java implementation of the Monoid algebraic structure.

Usage

A org.nnsoft.trudeau.math.monoid.Monoid<E> is a Monoid model and offers the following methods:

• E identity() that returns the identity value;

• E append( E e1, E e2 ) that returns the result of the associative binary operation between two elements of the monoid;

• E inverse( E element ) that returns the inverse of the input element.

A org.nnsoft.trudeau.math.monoid.OrderedMonoid<E> is a org.nnsoft.trudeau.math.monoid.Monoid<E> able to order the elements.

Known default Monoids

• org.nnsoft.trudeau.math.monoid.primitive.BigDecimalWeightBaseOperations
• org.nnsoft.trudeau.math.monoid.primitive.BigIntegerWeightBaseOperations
• org.nnsoft.trudeau.math.monoid.primitive.DoubleWeightBaseOperations
• org.nnsoft.trudeau.math.monoid.primitive.FloatWeightBaseOperations
• org.nnsoft.trudeau.math.monoid.primitive.IntegerWeightBaseOperations
• org.nnsoft.trudeau.math.monoid.primitive.LongWeightBaseOperations