Interval - kukan (English notation) interval

Japanese: 区間 - くかん（英語表記）interval

A mathematical term. a and b are two real numbers, with a < b . The set of real numbers x such that a < x < b is represented as ( a , b ) or ] a , b [, and is called an open interval. The set of x such that a < x < b is represented as [ a , b ], and is called a closed interval. Adding a to an open interval ( a , b ) is written as [ a , b ) or [ a , b [, and adding b is written as ( a , b ] or ] a , b ], and these are called half-open intervals. All of these are collectively called intervals or finite intervals. a and b are called their endpoints, a is called the left end of the interval, and b is called the right end, and b - a is called the length of the interval. Also, (-∞, a ), ( a , +∞), (-∞, +∞), etc. are called infinite intervals.

Source: Encyclopaedia Britannica Concise Encyclopedia About Encyclopaedia Britannica Concise Encyclopedia Information

Japanese:

数学用語。 a，b は2つの実数で，a＜b とする。 a＜x＜b を満足する実数 x の集合を (a，b) または ]a，b[ で表わし，開区間という。また a≦x≦b を満足する x の集合を [a，b] で表わし閉区間という。開区間 (a，b) に a を加えたものを [a，b) または [a，b[ と書き，b を加えたものを (a，b] または ]a，b] と書き，これらを半開区間と呼ぶ。これらすべてを総称して区間あるいは有限区間という。 a および b をそれらの端点，a を区間の左端，b を右端といい，b－a をその区間の長さという。また (－∞，a)，(a，＋∞)，(－∞，＋∞) などを無限区間という。

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