English Dictionary

continuous function

名詞

(mathematical analysis) a function whose value at any point in its domain is equal its limit at the same point

日本語の意味

連続関数：定義域内の任意の点で、その点における極限値と関数の値が一致する関数。

Every continuous function on [0,1] attains its maximum and minimum values by the extreme value theorem.

極値定理によれば、[0,1]上の任意の連続関数は最大値と最小値の両方をとる。

意味（1）

(mathematical analysis) a function whose value at any point in its domain is equal its limit at the same point

意味（2）

(mathematical analysis, topology) a function from one topological space to another, such that the inverse image of any open set is open

continuous functions （ plural ）