Last Updated :2025/12/05

Wallis product

Proper noun
Japanese Meaning
数学において、Wallisが提案した無限積を利用してπ/2(円周率の半分)を近似する手法。
What is this buttons?

多くの学生は、ウォリスの無限積(π/2に収束する)がどのようにしてその値を導くのかを理解するのに苦労しますが、段階を追った導出を見ると明らかになります。

canonical

Quizzes for review

(mathematics) An infinite product that approximates half of pi: 𝜋/2=∏ₙ₌₁ ᪲(4n²)/(4n²-1)=∏ₙ₌₁ ᪲((2n)/(2n-1)·(2n)/(2n+1))[6pt]= Big (2/1·2/3 Big )· Big (4/3·4/5 Big )· Big (6/5·6/7 Big )· Big (8/7·8/9 Big )·;⋯.

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See correct answer

Wallis product

Many students struggle to understand how the Wallis product yields π/2, but a step-by-step derivation makes it clear.

See correct answer

Many students struggle to understand how the Wallis product yields π/2, but a step-by-step derivation makes it clear.

音声機能が動作しない場合はこちらをご確認ください

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