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必要十分条件 (ひつようじゅうぶんじょうけん) Japanese meaning | Kotomora

必ひつ要よう十じゅう分ぶん条じょう件けん

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Meanings

1

noun

necessary and sufficient condition

Technical term used in logic, mathematics, and philosophy. Refers to a condition that is both required and enough for a statement to be true.

三さん角かく形けいが正せい三さん角かく形けいであることは、三さん辺ぺんが等ひとしいことの必ひつ要よう十じゅう分ぶん条じょう件けんです。
Being an equilateral triangle is a necessary and sufficient condition for having three equal sides.

この定てい理りの必ひつ要よう十じゅう分ぶん条じょう件けんを証しょう明めいしなさい。

Prove the necessary and sufficient condition for this theorem.

Kanji

必invariably, certain, inevitable
要need, main point, essence
十ten
分part, minute of time, segment
条article, clause, counter for articles, clauses, paragraphs, etc.
件affair, case, matter

Similar words

必ひつ要よう条じょう件けん
必要条件 is only a necessary condition (must be true but may not be enough), while 必要十分条件 is both necessary and sufficient.
十じゅう分ぶん条じょう件けん
十分条件 is only a sufficient condition (enough to guarantee the outcome but not always required), while 必要十分条件 is both necessary and sufficient.

Etymology

Compound of 必要 (necessary), 十分 (sufficient), and 条件 (condition). A direct translation of the English logical term 'necessary and sufficient condition'.