A real function of a single variable is called if it can be written as a quotient
where and are polynomials in with real coefficients. When one is only interested in algebraic properties of or and , it is convenient to forget that they define functions and simply treat them as algebraic expressions in . In this case is referred to as a rational expression.
In general, a rational function (expression) has the form
where and are polynomials in the variables with coefficients in some field or ring .
In this sense, can be regarded as an element of the fraction field of the polynomial ring .
|Date of creation||2013-03-22 13:38:54|
|Last modified on||2013-03-22 13:38:54|
|Last modified by||CWoo (3771)|