Last Updated
：2025/11/29
mathematical induction
Noun
countable
uncountable
Japanese Meaning
数学的帰納法：数学における証明法の一種で、まず基礎となる場合（通常は0または1）で命題が成り立つことを示し、次に任意の自然数nについて、命題がnで成り立つならばn+1でも成り立つことを証明することで、全ての自然数に対して命題が成立することを証明する方法
（ plural ）
Quizzes for review
(mathematics) A method of proof which, in terms of a predicate P, could be stated as: if P(0) is true and if for any natural number n>0, P(n) implies P(n+1), then P(n) is true for any natural number n.
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mathematical induction
She used mathematical induction to prove that the sum of the first n odd numbers is n2.
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She used mathematical induction to prove that the sum of the first n odd numbers is n2.
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