Noun
rational function (plural rational functions)
(mathematics, complex analysis, algebraic geometry) Any function expressible as the quotient of two (coprime) polynomials (and which thus has poles at a finite, discrete set of points which are the roots of the denominator).
Asymptotes for rational functions A rational function has at most one horizontal asymptote or oblique (slant) asymptote, and possibly many vertical asymptotes. Source: Internet
Green: difference between the graph and its asymptote for When the numerator of a rational function has degree exactly one greater than the denominator, the function has an oblique (slant) asymptote. Source: Internet
Generally, this works for any product wherein each factor is a rational function of the index variable, by factoring the rational function into linear expressions. Source: Internet
Julia set (in white) for the rational function associated to Newton's method for f : z→z 3 −1. Source: Internet
New proof of the theorem that every integral rational function of one variable can be represented as a product of linear functions of the same variable). Source: Internet
The complexity of any such filter is given by the order N, which describes the order of the rational function describing the frequency response. Source: Internet