NAME

Monomial - Perl module implmenting an algebraic monomial

DESCRIPTION

new

Return a reference to a new Monomial object.

copy OBJREF

Perform a deep copy of the object referred to by OBJREF.

coefficient VALUE

coefficient

Retrieve the value of the coefficient. If a value is passed, it is assigned as the new value.

variables

variables HASH

Retrieve the value of the variables hash. If a value is passed, it is assigned as the new value.

varOrder

varOrder ARRAYREF

Retrieve the value of the variable ordering array reference. If a value is passed, it is assigned as the new value.

fromString STRING

Construct the state of the object from an expression.

toString

Build an algebraic expression string representing the monomial.

getSignature

Create a signature for a monomial such that any two monomials with the same exponents have the same signature.

getTotalDegree

Get the sum the exponents for each variable in the monomial.

canDivide OBJREF

Determine if the input monomial can divide this monomial.

add OBJREF

Add this monial to the input monomial and return the sum.

divide OBJREF

Divide this monomial by the input monomial and return the quotient.

mult OBJREF

Multiply this monomial by the input monomial and return the product.

coeff_to_ND

Constructs an array containing the numerator and denominator of the coefficient.

coeff_from_ND ARRAYREF

Given an array ref containing numerator and denominator, this method builds the coefficient from the numerator and denominator passed in. The coefficient will be a string if the ratio is non-integer, otherwise it will be reduced to the integer and be a scalar.

reduceCoefficient

Determines if the coefficient can be simplified to a simpler (smaller) numerator/denominator pair.

reduceVariables

Determines if any variables can be removed from the monomials based on exponent values.

getLCM OBJREF

Given a monomial, determine the LCM of this monomial with the input monomial and return it.

AUTHOR

Brian Guarraci <bguarrac@hotmail.com>