See Laurent polynomial in All languages combined, or Wiktionary
{ "etymology_text": "Named after Pierre Alphonse Laurent.", "forms": [ { "form": "Laurent polynomials", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "Laurent polynomial (plural Laurent 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": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "glosses": [ "A linear combination of positive and negative powers of a variable with coefficients in a given field. They differ from ordinary polynomials in that they may have terms of negative degree." ], "id": "en-Laurent_polynomial-en-noun-yR-SlWRt", "links": [ [ "mathematics", "mathematics" ], [ "linear combination", "linear combination" ], [ "variable", "variable" ], [ "coefficient", "coefficient" ], [ "field", "field" ], [ "term", "term" ], [ "negative", "negative" ], [ "degree", "degree" ] ], "raw_glosses": [ "(mathematics) A linear combination of positive and negative powers of a variable with coefficients in a given field. They differ from ordinary polynomials in that they may have terms of negative degree." ], "topics": [ "mathematics", "sciences" ], "wikipedia": [ "Laurent polynomial", "Pierre Alphonse Laurent" ] } ], "word": "Laurent polynomial" }
{ "etymology_text": "Named after Pierre Alphonse Laurent.", "forms": [ { "form": "Laurent polynomials", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "Laurent polynomial (plural Laurent polynomials)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "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:Mathematics" ], "glosses": [ "A linear combination of positive and negative powers of a variable with coefficients in a given field. They differ from ordinary polynomials in that they may have terms of negative degree." ], "links": [ [ "mathematics", "mathematics" ], [ "linear combination", "linear combination" ], [ "variable", "variable" ], [ "coefficient", "coefficient" ], [ "field", "field" ], [ "term", "term" ], [ "negative", "negative" ], [ "degree", "degree" ] ], "raw_glosses": [ "(mathematics) A linear combination of positive and negative powers of a variable with coefficients in a given field. They differ from ordinary polynomials in that they may have terms of negative degree." ], "topics": [ "mathematics", "sciences" ], "wikipedia": [ "Laurent polynomial", "Pierre Alphonse Laurent" ] } ], "word": "Laurent 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 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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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