Last Updated
：2025/11/21
supremum
Noun
Japanese Meaning
数学において、集合Xの全要素以上である実数の中で最も小さいもの、すなわち最小上界（上限）を指す。 / 順序理論では、部分順序集合Pにおいて集合Xのすべての要素以上となる要素の中で最小のものを意味する。
（ plural ）
Quizzes for review
(set theory) (real analysis): Given a subset X of R, the smallest real number that is ≥ every element of X; (order theory): given a subset X of a partially ordered set P (with partial order ≤), the least element y of P such that every element of X is ≤ y.
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supremum
For the set {1 - 1/n : n ∈ N}, the supremum is 1, even though 1 is not an element of the set.
See correct answer
For the set {1 - 1/n : n ∈ N}, the supremum is 1, even though 1 is not an element of the set.
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