See rational function on Wiktionary
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"ref": "1960, J. L. Walsh, Interpolation and Approximation by Rational Functions in the Complex Domain, 3rd edition, American Mathematical Society, page 184:",
"text": "Our first problem is that of interpolation in prescribed points to a given function by a rational function whose poles are given.",
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"ref": "1970, Ellis Horowitz, Algorithms for Symbolic Integration of Rational Functions, University of Wisconsin-Madison, page 24:",
"text": "By Theorem 2.3.2., we have that the right-hand side of this equation can be equal to a rational function only if that rational function is equal to zero.",
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"ref": "2000, Alan F. Beardon, Iteration of Rational Functions: Complex Analytic Dynamical Systems, Springer, page 45:",
"text": "Let #x5C;mathcal#x7B;C#x7D; be the class of continuous maps of #x5C;mathbb#x7B;C#x7D;#x5F;#x5C;infty into itself and let #x5C;mathcal#x7B;R#x7D; be the subclass of rational functions.[…]Now #x5C;mathcal#x7B;R#x7D; is a closed subset of #x5C;mathcal#x7B;C#x7D;#x5F;#x5C;infty because if the rational functions R#x5F;n converge uniformly to R on the complex sphere, then R is analytic on the sphere and so it too is rational.",
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"(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)."
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"sense": "function expressible as the quotient of polynomials",
"word": "rationaalifunktio"
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"code": "de",
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"word": "rasyonel fonksiyon"
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"tags": [
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"word": "rationale Funktion"
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"sense": "function expressible as the quotient of polynomials",
"word": "racionális függvény"
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"roman": "racionálʹnaja fúnkcija",
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"word": "рациона́льная фу́нкция"
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-01 from the enwiktionary dump dated 2024-11-21 using wiktextract (95d2be1 and 64224ec). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
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