English Dictionary

algebraic function

名詞

(algebraic geometry) Informally, any function expressible using (only) the operations of addition, subtraction, multiplication, division and raising to a rational power; more precisely, any continuous function definable as the root of some polynomial equation.

日本語の意味

代数関数とは、加減乗除および有理指数（分数指数）の演算のみを用いて表現可能な関数であり、より厳密には、ある多項式方程式の根として定義される連続関数を指す。

An algebraic function can often be expressed using only addition, subtraction, multiplication, division, and raising to rational powers.

代数関数は通常、加減乗除と有理数乗冪だけで表現できます。

意味（1）

(algebraic geometry) Informally, any function expressible using (only) the operations of addition, subtraction, multiplication, division and raising to a rational power; more precisely, any continuous function definable as the root of some polynomial equation.

Quite often, algebraic functions are algebraic expressions using a finite number of terms and involving only the algebraic operations addition, subtraction, multiplication, division, and raising to a fractional power. Some algebraic functions, however, cannot be expressed by such finite expressions.

algebraic functions （ plural ）