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Parseval's Theorem
Original title: パーセバルの定理
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Parseval's theorem generally refers to the result that the Fourier transform is unitary. Roughly, the sum of the squares of a function equals the sum of the squares of its Fourier transform. It originated in French mathematician Marc-Antoine Parseval's 1799 theorem on series, later applied to Fourier series.
パーセバルの定理とは、フーリエ変換がユニタリであるという結果を一般に指す。大まかに言えば、関数の平方の総和が、そのフーリエ変換の平方の総和と等しいということである。フランスの数学者マルク＝アントワーヌ・パーシバルの1799年の級数に関する定理が起源であり、この定理は後にフーリエ級数に応用されるようになった。
Source updated 2023-07-03 · Snapshot 2026-10-08
Source links and calculated neighbors
Cosine values measure shared lexical features, not truth, agreement or identical meaning. Original reference links are labeled separately.
- Harmonic Analysis: Wiener's TheoremComputed lexical cosine similarity 0.154 · shared title, text, tags and references
- Fourier's TheoremComputed lexical cosine similarity 0.097 · shared title, text, tags and references