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- '''Rational function''' is a [[quotient]] of two [[polynomial function]]s. It distinguishes from A rational function is a function of the form1 KB (234 words) - 05:28, 9 December 2008
- 125 bytes (17 words) - 11:18, 4 September 2009
- Auto-populated based on [[Special:WhatLinksHere/Rational function]]. Needs checking by a human.710 bytes (90 words) - 19:54, 11 January 2010
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- Auto-populated based on [[Special:WhatLinksHere/Rational function]]. Needs checking by a human.710 bytes (90 words) - 19:54, 11 January 2010
- {{r|Rational function}}2 KB (260 words) - 08:13, 9 December 2009
- '''Rational function''' is a [[quotient]] of two [[polynomial function]]s. It distinguishes from A rational function is a function of the form1 KB (234 words) - 05:28, 9 December 2008
- {{r|Rational function}}2 KB (206 words) - 19:38, 11 January 2010
- ...nt of two polynomials is called a [[rational function]]. In other words, a rational function is a function <math>r(x)</math> that can be written as8 KB (1,289 words) - 13:46, 26 May 2009
- ...ple is the Frobenius map <math>\Phi: x \mapsto x^p</math> applied to the [[rational function]] field <math>\mathbf{F}_p(X)</math>, which has as image the proper subfiel3 KB (418 words) - 12:18, 20 December 2008
- {{r|Rational function}}1 KB (169 words) - 19:54, 11 January 2010
- ...n|surjective]], however. An example is the Frobenius map applied to the [[rational function]] field <math>\mathbf{F}_p(X)</math>, which has as image the proper subfiel1 KB (166 words) - 18:17, 16 February 2009
- ...al coefficients, also called a "polynomial over the rationals". However, [[rational function]] does '''not''' mean the underlying field is the rational numbers, and a [9 KB (1,446 words) - 08:52, 30 May 2009
- * [[Rational function]]s8 KB (1,184 words) - 14:58, 8 December 2009
- More non-entire functions: [[rational function]] <math>~f(z)=\frac{a+b x}{c+x}~</math> at any complex6 KB (827 words) - 14:44, 19 December 2008
- ===Rational function===21 KB (3,134 words) - 09:12, 10 October 2013
- ...ynomial [[ring]] ''F''[''a''] if ''a'' is algebraic, otherwise it is the [[rational function]] field ''F''(''a'').3 KB (435 words) - 22:38, 22 February 2009
- ...t the finite zeros of the derivative <math> r'(z) </math> of a nonconstant rational function <math> r(z) </math> that are not multiple zeros of <math> r(z) </math> are4 KB (565 words) - 11:48, 2 February 2023
- ...from the recurrence relation that <math>\Gamma(r+n)/\Gamma(r)</math> is a rational function of <math>r</math> whenever <math>n</math> is an integer, and a rational num ...n of the sine in the reflection formula. Listings of [[polynomial]]s and [[rational function]]s that approximate the gamma function in a unit interval are available in32 KB (5,024 words) - 12:05, 22 December 2008
- * '''[[Rational function]]s''' are represented in the form of a fraction, where the numerator and de * [[Rational function]]21 KB (3,089 words) - 10:08, 28 February 2024
- ...r <math>\sqrt{x^2+1}</math> are ''not'' polynomials ; the first one is a [[rational function]], because of the fraction bar (representing [[division]]), and the second8 KB (1,242 words) - 02:01, 10 November 2009
- If the transfer function is a [[rational function]] with real poles and zeros, then the Bode plot can be approximated with st24 KB (3,933 words) - 02:20, 14 October 2013
- ...combine a [[polynomial]] approximation (such as a [[Taylor series]] or a [[rational function]]) with a table lookup — they first look up the closest angle in a sm33 KB (5,179 words) - 08:26, 4 June 2010
- ...values of the standard normal CDF using [[piecewise]] approximations by [[rational function]]s. Another approximation method uses third-degree polynomials on intervals46 KB (6,956 words) - 07:01, 9 June 2009