rational function

rational function
Any function whose value can be expressed as the quotient of two polynomials (except division by zero)

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  • Rational function — In mathematics, a rational function is any function which can be written as the ratio of two polynomial functions. DefinitionsIn the case of one variable, x , a rational function is a function of the form: f(x) = frac{P(x)}{Q(x)}where P and Q are …   Wikipedia

  • rational function — noun Date: 1859 a function that is the quotient of two polynomials; also polynomial …   New Collegiate Dictionary

  • rational function — Math. a function that can be written as the quotient of two polynomials with integral coefficients. [1880 85] * * * …   Universalium

  • rational function — noun 1. : polynomial 2. : the quotient of two polynomials * * * Math. a function that can be written as the quotient of two polynomials with integral coefficients. [1880 85] …   Useful english dictionary

  • Polynomial and rational function modeling — In statistical modeling (especially process modeling), polynomial functions and rational functions are sometimes used as an empirical technique for curve fitting.Polynomial function modelsA polynomial function is one that has the form:y = a… …   Wikipedia

  • Trigonometric rational function — In mathematics, a trigonometric rational function is a rational function in the functions sin theta; and cos theta;. Equivalently, it is a ratio of trigonometric polynomials. The simplest examples (besides sin theta; and cos theta; themselves)… …   Wikipedia

  • Rational trigonometry — is a recently introduced approach to trigonometry that eschews all transcendental functions (such as sine and cosine) and all proportional measurements of angles. In place of angles, it characterizes the separation between lines by a quantity… …   Wikipedia

  • Rational — may refer to: * Rationality, a concept of reason * Rational number, a number that can be expressed as a ratio of two integers * Rational function, a mathematical function which can be written as the ratio of two polynomial functions * Rational… …   Wikipedia

  • Rational mapping — In mathematics, in particular the subfield of algebraic geometry, a rational map is a kind of partial function between algebraic varieties. In this article we use the convention that varieties are irreducible.DefinitionA first attemptSuppose we… …   Wikipedia

  • Rational variety — In mathematics, a rational variety is an algebraic variety, over a given field K, which is birationally equivalent to projective space of some dimension over K. This is a question on its function field: is it up to isomorphism the field of all… …   Wikipedia

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