See Zhegalkin polynomial in All languages combined, or Wiktionary
{ "etymology_text": "Named after the Russian mathematician Ivan Ivanovich Zhegalkin (1869–1947), who introduced them in 1927.", "forms": [ { "form": "Zhegalkin polynomials", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "Zhegalkin polynomial (plural Zhegalkin polynomials)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ { "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w" }, { "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Algebra", "orig": "en:Algebra", "parents": [ "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Logic", "orig": "en:Logic", "parents": [ "Formal sciences", "Philosophy", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "glosses": [ "A Boolean-valued polynomial formed as a XOR-sum (or \"ring sum\") of conjunctions." ], "id": "en-Zhegalkin_polynomial-en-noun-M95PCwG-", "links": [ [ "logic", "logic" ], [ "algebra", "algebra" ], [ "Boolean", "Boolean" ], [ "XOR", "XOR" ], [ "conjunction", "conjunction" ] ], "raw_glosses": [ "(logic, algebra) A Boolean-valued polynomial formed as a XOR-sum (or \"ring sum\") of conjunctions." ], "related": [ { "word": "algebraic normal form" }, { "word": "ring sum normal form" } ], "topics": [ "algebra", "human-sciences", "logic", "mathematics", "philosophy", "sciences" ], "wikipedia": [ "Ivan Ivanovich Zhegalkin", "Zhegalkin polynomial" ] } ], "word": "Zhegalkin polynomial" }
{ "etymology_text": "Named after the Russian mathematician Ivan Ivanovich Zhegalkin (1869–1947), who introduced them in 1927.", "forms": [ { "form": "Zhegalkin polynomials", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "Zhegalkin polynomial (plural Zhegalkin polynomials)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "related": [ { "word": "algebraic normal form" }, { "word": "ring sum normal form" } ], "senses": [ { "categories": [ "English countable nouns", "English entries with incorrect language header", "English eponyms", "English lemmas", "English multiword terms", "English nouns", "Pages with 1 entry", "Pages with entries", "en:Algebra", "en:Logic" ], "glosses": [ "A Boolean-valued polynomial formed as a XOR-sum (or \"ring sum\") of conjunctions." ], "links": [ [ "logic", "logic" ], [ "algebra", "algebra" ], [ "Boolean", "Boolean" ], [ "XOR", "XOR" ], [ "conjunction", "conjunction" ] ], "raw_glosses": [ "(logic, algebra) A Boolean-valued polynomial formed as a XOR-sum (or \"ring sum\") of conjunctions." ], "topics": [ "algebra", "human-sciences", "logic", "mathematics", "philosophy", "sciences" ], "wikipedia": [ "Ivan Ivanovich Zhegalkin", "Zhegalkin polynomial" ] } ], "word": "Zhegalkin polynomial" }
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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 2025-01-03 from the enwiktionary dump dated 2025-01-01 using wiktextract (eaedd02 and 8fbd9e8). 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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