Last Updated
:2025/11/26
half-open interval
Noun
Japanese Meaning
数学において、一方の端点のみを含む実数の区間。例として、右側だけが閉じられている区間や左側だけが閉じられている区間を指す。 / 片側閉区間とも呼ばれる。
( plural )
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(mathematics) An interval in the real line which contains one of its endpoints but not the other one: i.e., it either contains its supremum or its infimum but not both.
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half-open interval
The half-open interval [0, 1) contains 0 but not 1, so it is neither open nor closed in the usual topology on R.
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The half-open interval [0, 1) contains 0 but not 1, so it is neither open nor closed in the usual topology on R.
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