English Dictionary

rational function

名詞

(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).

日本語の意味

有理関数：数学において、2つの互いに素な多項式の商として表現される関数。分母に由来する根（極）が有限かつ離散な点で現れる。

To study the mapping properties near infinity, she analyzed the poles and zeros of the rational function f(z) = (z3 - 1)/(z2 + 1).

無限遠付近の写像の性質を調べるために、彼女は有理関数 f(z) = (z^3 - 1)/(z^2 + 1) の極と零点を解析した。

意味（1）

(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).

Our first problem is that of interpolation in prescribed points to a given function by a rational function whose poles are given.

rational functions （ plural ）