See Parseval's theorem in All languages combined, or Wiktionary
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{ "etymology_text": "Named after Marc-Antoine Parseval.", "head_templates": [ { "args": {}, "expansion": "Parseval's theorem", "name": "en-proper noun" } ], "lang": "English", "lang_code": "en", "pos": "name", "senses": [ { "categories": [ "English entries with incorrect language header", "English eponyms", "English lemmas", "English multiword terms", "English proper nouns", "English uncountable nouns", "Pages with 1 entry", "Pages with entries", "en:Mathematics" ], "glosses": [ "The result that the Fourier transform is unitary; loosely, that the sum (or integral) of the square of a function is equal to the sum (or integral) of the square of its transform." ], "links": [ [ "mathematics", "mathematics" ], [ "Fourier transform", "Fourier transform" ], [ "unitary", "unitary" ] ], "raw_glosses": [ "(mathematics) The result that the Fourier transform is unitary; loosely, that the sum (or integral) of the square of a function is equal to the sum (or integral) of the square of its transform." ], "topics": [ "mathematics", "sciences" ], "wikipedia": [ "Marc-Antoine Parseval" ] } ], "word": "Parseval's theorem" }
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-03-26 from the enwiktionary dump dated 2025-03-21 using wiktextract (fef8596 and 633533e). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
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