See polynomial on Wiktionary
Download JSON data for polynomial meaning in All languages combined (18.4kB)
{ "derived": [ { "_dis1": "0 0", "word": "Abel polynomial" }, { "_dis1": "0 0", "word": "Alexander-Conway polynomial" }, { "_dis1": "0 0", "word": "Alexander polynomial" }, { "_dis1": "0 0", "word": "all-one polynomial" }, { "_dis1": "0 0", "word": "Bell polynomial" }, { "_dis1": "0 0", "word": "Bernoulli polynomial" }, { "_dis1": "0 0", "word": "Bernstein basis polynomial" }, { "_dis1": "0 0", "word": "Boas-Buck polynomial" }, { "_dis1": "0 0", "word": "characteristic polynomial" }, { "_dis1": "0 0", "word": "Conway-Alexander polynomial" }, { "_dis1": "0 0", "word": "Conway polynomial" }, { "_dis1": "0 0", "word": "cyclotomic polynomial" }, { "_dis1": "0 0", "word": "Dickson polynomial" }, { "_dis1": "0 0", "word": "elementary symmetric polynomial" }, { "_dis1": "0 0", "word": "Fibonacci polynomial" }, { "_dis1": "0 0", "word": "Hermite polynomial" }, { "_dis1": "0 0", "word": "homogenous polynomial" }, { "_dis1": "0 0", "word": "hyperbolic polynomial" }, { "_dis1": "0 0", "word": "Jacobi polynomial" }, { "_dis1": "0 0", "word": "Jones polynomial" }, { "_dis1": "0 0", "word": "Kazhdan-Lusztig polynomial" }, { "_dis1": "0 0", "word": "Lagrange polynomial" }, { "_dis1": "0 0", "word": "Laguerre polynomial" }, { "_dis1": "0 0", "word": "Laurent polynomial" }, { "_dis1": "0 0", "word": "Legendre polynomial" }, { "_dis1": "0 0", "word": "Lucas polynomial" }, { "_dis1": "0 0", "word": "Macdonald polynomial" }, { "_dis1": "0 0", "word": "Maclaurin polynomial" }, { "_dis1": "0 0", "word": "minimal polynomial" }, { "_dis1": "0 0", "word": "Mittag-Leffler polynomial" }, { "_dis1": "0 0", "word": "Narumi polynomial" }, { "_dis1": "0 0", "word": "Pidduck polynomial" }, { "_dis1": "0 0", "word": "polynomial algebra" }, { "_dis1": "0 0", "word": "polynomial basis" }, { "_dis1": "0 0", "word": "polynomial complexity" }, { "_dis1": "0 0", "word": "polynomial equation" }, { "_dis1": "0 0", "word": "polynomial form" }, { "_dis1": "0 0", "word": "polynomial function" }, { "_dis1": "0 0", "word": "polynomial interpolation" }, { "_dis1": "0 0", "word": "polynomial ring" }, { "_dis1": "0 0", "word": "polynomial sequence" }, { "_dis1": "0 0", "word": "polynomial time" }, { "_dis1": "0 0", "word": "primitive polynomial" }, { "_dis1": "0 0", "word": "rook polynomial" }, { "_dis1": "0 0", "word": "separable polynomial" }, { "_dis1": "0 0", "word": "symmetric polynomial" }, { "_dis1": "0 0", "word": "Taylor polynomial" }, { "_dis1": "0 0", "word": "Taylor's polynomial" }, { "_dis1": "0 0", "word": "Touchard polynomial" }, { "_dis1": "0 0", "word": "Zhegalkin polynomial" } ], "etymology_templates": [ { "args": { "1": "en", "2": "ine-pro", "3": "*nem-" }, "expansion": "", "name": "root" }, { "args": { "1": "en", "2": "poly", "3": "nomial" }, "expansion": "poly- + -nomial", "name": "confix" }, { "args": { "1": "grc", "2": "νομός", "3": "", "4": "portion, part" }, "expansion": "νομός (nomós, “portion, part”)", "name": "m" }, { "args": { "1": "en", "2": "binomial" }, "expansion": "binomial", "name": "m" } ], "etymology_text": "poly- + -nomial, from νομός (nomós, “portion, part”), by analogy with binomial.", "forms": [ { "form": "polynomials", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "polynomial (plural polynomials)", "name": "en-noun" } ], "holonyms": [ { "_dis1": "0 0", "word": "rational function" } ], "hyponyms": [ { "_dis1": "0 0", "word": "binomial" }, { "_dis1": "0 0", "word": "homogeneous polynomial" }, { "_dis1": "0 0", "word": "monomial" }, { "_dis1": "0 0", "word": "trinomial" }, { "_dis1": "0 0", "word": "quadrinomial" }, { "_dis1": "0 0", "word": "quantic" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ { "kind": "topical", "langcode": "en", "name": "Algebra", "orig": "en:Algebra", "parents": [ "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "kind": "other", "langcode": "en", "name": "Polynomials", "orig": "en:Polynomials", "parents": [], "source": "w" }, { "_dis": "15 15 39 31", "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "14 17 41 28", "kind": "other", "name": "English entries with topic categories using raw markup", "parents": [ "Entries with topic categories using raw markup", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "10 13 44 33", "kind": "other", "name": "English terms prefixed with poly-", "parents": [], "source": "w+disamb" }, { "_dis": "12 15 40 33", "kind": "other", "name": "English terms suffixed with -nomial", "parents": [], "source": "w+disamb" }, { "_dis": "15 20 40 25", "kind": "topical", "langcode": "en", "name": "Numbers", "orig": "en:Numbers", "parents": [ "All topics", "Terms by semantic function", "Fundamental" ], "source": "w+disamb" } ], "glosses": [ "An expression consisting of a sum of a finite number of terms, each term being the product of a constant coefficient and one or more variables raised to a non-negative integer power, such as a_nxⁿ+a_n-1xⁿ⁻¹+...+a_0x⁰." ], "id": "en-polynomial-en-noun-eghXvcA9", "links": [ [ "algebra", "algebra" ], [ "terms", "terms" ], [ "constant", "constant" ], [ "coefficient", "coefficient" ], [ "variable", "variable" ], [ "non-negative", "non-negative" ], [ "integer", "integer" ] ], "raw_glosses": [ "(algebra, strict sense) An expression consisting of a sum of a finite number of terms, each term being the product of a constant coefficient and one or more variables raised to a non-negative integer power, such as a_nxⁿ+a_n-1xⁿ⁻¹+...+a_0x⁰." ], "tags": [ "strict-sense" ], "topics": [ "algebra", "mathematics", "sciences" ], "translations": [ { "_dis1": "86 14", "code": "af", "lang": "Afrikaans", "sense": "algebraic expression", "word": "polinoom" }, { "_dis1": "86 14", "code": "az", "lang": "Azerbaijani", "sense": "algebraic expression", "word": "çoxhədli" }, { "_dis1": "86 14", "code": "bg", "lang": "Bulgarian", "roman": "polinom", "sense": "algebraic expression", "tags": [ "masculine" ], "word": "полином" }, { "_dis1": "86 14", "code": "bg", "lang": "Bulgarian", "roman": "mnogočlen", "sense": "algebraic expression", "tags": [ "masculine" ], "word": "многочлен" }, { "_dis1": "86 14", "code": "my", "lang": "Burmese", "roman": "kin:cu.tan:", "sense": "algebraic expression", "word": "ကိန်းစုတန်း" }, { "_dis1": "86 14", "code": "ca", "lang": "Catalan", "sense": "algebraic expression", "tags": [ "masculine" ], "word": "polinomi" }, { "_dis1": "86 14", "code": "cmn", "lang": "Chinese Mandarin", "sense": "algebraic expression", "word": "多項式" }, { "_dis1": "86 14", "code": "cmn", "lang": "Chinese Mandarin", "roman": "duōxiàngshì", "sense": "algebraic expression", "word": "多项式" }, { "_dis1": "86 14", "code": "cs", "lang": "Czech", "sense": "algebraic expression", "tags": [ "masculine" ], "word": "polynom" }, { "_dis1": "86 14", "code": "da", "lang": "Danish", "sense": "algebraic expression", "tags": [ "neuter" ], "word": "polynomium" }, { "_dis1": "86 14", "code": "nl", "lang": "Dutch", "sense": "algebraic expression", "tags": [ "masculine", "neuter" ], "word": "polynoom" }, { "_dis1": "86 14", "code": "nl", "lang": "Dutch", "sense": "algebraic expression", "tags": [ "masculine" ], "word": "veelterm" }, { "_dis1": "86 14", "code": "et", "lang": "Estonian", "sense": "algebraic expression", "word": "polünoom" }, { "_dis1": "86 14", "code": "fi", "lang": "Finnish", "sense": "algebraic expression", "word": "polynomi" }, { "_dis1": "86 14", "code": "fr", "lang": "French", "sense": "algebraic expression", "tags": [ "masculine" ], "word": "polynôme" }, { "_dis1": "86 14", "code": "gl", "lang": "Galician", "sense": "algebraic expression", "tags": [ "masculine" ], "word": "polinomio" }, { "_dis1": "86 14", "code": "de", "lang": "German", "sense": "algebraic expression", "tags": [ "neuter" ], "word": "Polynom" }, { "_dis1": "86 14", "code": "el", "lang": "Greek", "roman": "polyónymo", "sense": "algebraic expression", "tags": [ "neuter" ], "word": "πολυώνυμο" }, { "_dis1": "86 14", "code": "hi", "lang": "Hindi", "roman": "bahupad", "sense": "algebraic expression", "word": "बहुपद" }, { "_dis1": "86 14", "code": "hu", "lang": "Hungarian", "sense": "algebraic expression", "word": "polinom" }, { "_dis1": "86 14", "code": "is", "lang": "Icelandic", "sense": "algebraic expression", "tags": [ "feminine" ], "word": "margliða" }, { "_dis1": "86 14", "code": "it", "lang": "Italian", "sense": "algebraic expression", "tags": [ "masculine" ], "word": "polinomio" }, { "_dis1": "86 14", "alt": "たこうしき", "code": "ja", "lang": "Japanese", "roman": "takōshiki", "sense": "algebraic expression", "word": "多項式" }, { "_dis1": "86 14", "code": "km", "lang": "Khmer", "roman": "pea’hu’tʰie", "sense": "algebraic expression", "word": "ពហុធា" }, { "_dis1": "86 14", "code": "ko", "lang": "Korean", "roman": "dahangsik", "sense": "algebraic expression", "word": "다항식" }, { "_dis1": "86 14", "code": "ml", "lang": "Malayalam", "roman": "bahupadaṁ", "sense": "algebraic expression", "word": "ബഹുപദം" }, { "_dis1": "86 14", "code": "no", "lang": "Norwegian", "sense": "algebraic expression", "tags": [ "neuter" ], "word": "polynom" }, { "_dis1": "86 14", "code": "pl", "lang": "Polish", "sense": "algebraic expression", "tags": [ "masculine" ], "word": "wielomian" }, { "_dis1": "86 14", "code": "pt", "lang": "Brazilian Portuguese", "sense": "algebraic expression", "tags": [ "masculine" ], "word": "polinômio" }, { "_dis1": "86 14", "code": "pt", "lang": "European Portuguese", "sense": "algebraic expression", "tags": [ "masculine" ], "word": "polinómio" }, { "_dis1": "86 14", "code": "ro", "lang": "Romanian", "sense": "algebraic expression", "tags": [ "neuter" ], "word": "polinom" }, { "_dis1": "86 14", "code": "ru", "lang": "Russian", "roman": "mnogočlén", "sense": "algebraic expression", "tags": [ "masculine" ], "word": "многочле́н" }, { "_dis1": "86 14", "code": "es", "lang": "Spanish", "sense": "algebraic expression", "tags": [ "masculine" ], "word": "polinomio" }, { "_dis1": "86 14", "code": "sv", "lang": "Swedish", "sense": "algebraic expression", "tags": [ "neuter" ], "word": "polynom" }, { "_dis1": "86 14", "code": "tl", "lang": "Tagalog", "sense": "algebraic expression", "word": "damikay" }, { "_dis1": "86 14", "code": "th", "lang": "Thai", "roman": "pá-hù-naam", "sense": "algebraic expression", "word": "พหุนาม" }, { "_dis1": "86 14", "code": "tr", "lang": "Turkish", "sense": "algebraic expression", "word": "polinom" }, { "_dis1": "86 14", "code": "vi", "lang": "Vietnamese", "sense": "algebraic expression", "word": "đa thức" } ] }, { "categories": [ { "kind": "topical", "langcode": "en", "name": "Taxonomy", "orig": "en:Taxonomy", "parents": [ "Biology", "Evolutionary theory", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "_dis": "12 15 40 33", "kind": "other", "name": "English terms suffixed with -nomial", "parents": [], "source": "w+disamb" } ], "glosses": [ "A taxonomic designation (such as of a subspecies) consisting of more than two terms." ], "id": "en-polynomial-en-noun-aBkJEPl5", "links": [ [ "taxonomy", "taxonomy" ], [ "taxonomic", "taxonomic" ], [ "designation", "designation" ], [ "subspecies", "subspecies" ], [ "consisting", "consisting" ], [ "term", "term" ] ], "raw_glosses": [ "(taxonomy) A taxonomic designation (such as of a subspecies) consisting of more than two terms." ], "topics": [ "biology", "natural-sciences", "taxonomy" ], "translations": [ { "_dis1": "13 87", "code": "fr", "lang": "French", "sense": "taxonomic designation", "tags": [ "masculine" ], "word": "polynôme" } ] } ], "sounds": [ { "ipa": "/ˌpɒlɪˈnəʊmɪəl/", "tags": [ "UK" ] }, { "ipa": "/ˌpɑliˈnoʊmiəl/", "tags": [ "US" ] }, { "audio": "LL-Q1860 (eng)-Vealhurl-polynomial.wav", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/c/cb/LL-Q1860_%28eng%29-Vealhurl-polynomial.wav/LL-Q1860_%28eng%29-Vealhurl-polynomial.wav.mp3", "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/c/cb/LL-Q1860_%28eng%29-Vealhurl-polynomial.wav/LL-Q1860_%28eng%29-Vealhurl-polynomial.wav.ogg", "tags": [ "Southern-England" ], "text": "Audio (Southern England)" } ], "wikipedia": [ "polynomial" ], "word": "polynomial" } { "etymology_templates": [ { "args": { "1": "en", "2": "ine-pro", "3": "*nem-" }, "expansion": "", "name": "root" }, { "args": { "1": "en", "2": "poly", "3": "nomial" }, "expansion": "poly- + -nomial", "name": "confix" }, { "args": { "1": "grc", "2": "νομός", "3": "", "4": "portion, part" }, "expansion": "νομός (nomós, “portion, part”)", "name": "m" }, { "args": { "1": "en", "2": "binomial" }, "expansion": "binomial", "name": "m" } ], "etymology_text": "poly- + -nomial, from νομός (nomós, “portion, part”), by analogy with binomial.", "head_templates": [ { "args": { "1": "-" }, "expansion": "polynomial (not comparable)", "name": "en-adj" } ], "lang": "English", "lang_code": "en", "pos": "adj", "senses": [ { "categories": [ { "kind": "topical", "langcode": "en", "name": "Algebra", "orig": "en:Algebra", "parents": [ "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "_dis": "12 15 40 33", "kind": "other", "name": "English terms suffixed with -nomial", "parents": [], "source": "w+disamb" } ], "glosses": [ "Able to be described or limited by a polynomial." ], "id": "en-polynomial-en-adj-RpBInRDB", "links": [ [ "algebra", "algebra" ], [ "polynomial", "#Noun" ] ], "raw_glosses": [ "(algebra) Able to be described or limited by a polynomial." ], "tags": [ "not-comparable" ], "topics": [ "algebra", "mathematics", "sciences" ], "translations": [ { "_dis1": "100 0", "code": "af", "lang": "Afrikaans", "sense": "in algebra", "word": "polinomies" }, { "_dis1": "100 0", "code": "ca", "lang": "Catalan", "sense": "in algebra", "word": "polinomial" }, { "_dis1": "100 0", "code": "cs", "lang": "Czech", "sense": "in algebra", "word": "polynomický" }, { "_dis1": "100 0", "code": "fi", "lang": "Finnish", "sense": "in algebra", "word": "polynominen" }, { "_dis1": "100 0", "code": "fr", "lang": "French", "sense": "in algebra", "word": "polynomial" }, { "_dis1": "100 0", "code": "de", "lang": "German", "sense": "in algebra", "word": "polynomisch" }, { "_dis1": "100 0", "code": "el", "lang": "Greek", "roman": "polyonymikós", "sense": "in algebra", "word": "πολυωνυμικός" }, { "_dis1": "100 0", "code": "hu", "lang": "Hungarian", "sense": "in algebra", "word": "polinomiális" }, { "_dis1": "100 0", "code": "it", "lang": "Italian", "sense": "in algebra", "word": "polinomiale" }, { "_dis1": "100 0", "code": "pl", "lang": "Polish", "sense": "in algebra", "tags": [ "masculine" ], "word": "wielomianowy" }, { "_dis1": "100 0", "code": "pt", "lang": "Portuguese", "sense": "in algebra", "word": "polinomial" }, { "_dis1": "100 0", "code": "ro", "lang": "Romanian", "sense": "in algebra", "word": "polinomial" }, { "_dis1": "100 0", "code": "ro", "lang": "Romanian", "sense": "in algebra", "word": "polinomic" }, { "_dis1": "100 0", "code": "ru", "lang": "Russian", "roman": "mnogočlénnyj", "sense": "in algebra", "word": "многочле́нный" }, { "_dis1": "100 0", "code": "ru", "lang": "Russian", "roman": "polinomiálʹnyj", "sense": "in algebra", "word": "полиномиа́льный" }, { "_dis1": "100 0", "code": "es", "lang": "Spanish", "sense": "in algebra", "word": "polinomial" }, { "_dis1": "100 0", "code": "es", "lang": "Spanish", "sense": "in algebra", "word": "polinómico" }, { "_dis1": "100 0", "code": "sv", "lang": "Swedish", "sense": "in algebra", "word": "polynomiell" }, { "_dis1": "100 0", "code": "th", "lang": "Thai", "roman": "pá-hù-naam", "sense": "in algebra", "word": "พหุนาม" }, { "_dis1": "100 0", "code": "tr", "lang": "Turkish", "sense": "in algebra", "word": "polinom" }, { "_dis1": "100 0", "code": "vi", "lang": "Vietnamese", "sense": "in algebra", "word": "đa thức" } ] }, { "categories": [ { "kind": "topical", "langcode": "en", "name": "Taxonomy", "orig": "en:Taxonomy", "parents": [ "Biology", "Evolutionary theory", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "_dis": "12 15 40 33", "kind": "other", "name": "English terms suffixed with -nomial", "parents": [], "source": "w+disamb" } ], "glosses": [ "of a polynomial name or entity" ], "id": "en-polynomial-en-adj-uiDAthm5", "links": [ [ "taxonomy", "taxonomy" ] ], "raw_glosses": [ "(taxonomy) of a polynomial name or entity" ], "tags": [ "not-comparable" ], "topics": [ "biology", "natural-sciences", "taxonomy" ], "translations": [ { "_dis1": "3 97", "code": "fr", "lang": "French", "sense": "in taxonomy", "tags": [ "masculine" ], "word": "polynominal" }, { "_dis1": "3 97", "code": "fr", "lang": "French", "sense": "in taxonomy", "tags": [ "feminine" ], "word": "polynominale" }, { "_dis1": "3 97", "code": "fr", "lang": "French", "sense": "in taxonomy", "tags": [ "masculine" ], "word": "polynomial" }, { "_dis1": "3 97", "code": "fr", "lang": "French", "sense": "in taxonomy", "tags": [ "feminine" ], "word": "polynomiale" } ] } ], "sounds": [ { "ipa": "/ˌpɒlɪˈnəʊmɪəl/", "tags": [ "UK" ] }, { "ipa": "/ˌpɑliˈnoʊmiəl/", "tags": [ "US" ] }, { "audio": "LL-Q1860 (eng)-Vealhurl-polynomial.wav", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/c/cb/LL-Q1860_%28eng%29-Vealhurl-polynomial.wav/LL-Q1860_%28eng%29-Vealhurl-polynomial.wav.mp3", "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/c/cb/LL-Q1860_%28eng%29-Vealhurl-polynomial.wav/LL-Q1860_%28eng%29-Vealhurl-polynomial.wav.ogg", "tags": [ "Southern-England" ], "text": "Audio (Southern England)" } ], "wikipedia": [ "polynomial" ], "word": "polynomial" } { "forms": [ { "form": "polynomiale", "tags": [ "feminine" ] }, { "form": "polynomiaux", "tags": [ "masculine", "plural" ] }, { "form": "polynomiales", "tags": [ "feminine", "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "polynomial (feminine polynomiale, masculine plural polynomiaux, feminine plural polynomiales)", "name": "fr-adj" } ], "lang": "French", "lang_code": "fr", "pos": "adj", "senses": [ { "categories": [ { "kind": "other", "name": "French entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w" }, { "kind": "topical", "langcode": "fr", "name": "Numbers", "orig": "fr:Numbers", "parents": [ "All topics", "Terms by semantic function", "Fundamental" ], "source": "w" } ], "glosses": [ "polynomial" ], "id": "en-polynomial-fr-adj-YYkNIzH0", "links": [ [ "polynomial", "#Adjective" ] ], "related": [ { "word": "polynôme" } ] } ], "sounds": [ { "audio": "LL-Q150 (fra)-Lepticed7-polynomial.wav", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/7/7b/LL-Q150_%28fra%29-Lepticed7-polynomial.wav/LL-Q150_%28fra%29-Lepticed7-polynomial.wav.mp3", "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/7/7b/LL-Q150_%28fra%29-Lepticed7-polynomial.wav/LL-Q150_%28fra%29-Lepticed7-polynomial.wav.ogg", "text": "Audio" } ], "word": "polynomial" }
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polynomial" }, { "word": "Dickson polynomial" }, { "word": "elementary symmetric polynomial" }, { "word": "Fibonacci polynomial" }, { "word": "Hermite polynomial" }, { "word": "homogenous polynomial" }, { "word": "hyperbolic polynomial" }, { "word": "Jacobi polynomial" }, { "word": "Jones polynomial" }, { "word": "Kazhdan-Lusztig polynomial" }, { "word": "Lagrange polynomial" }, { "word": "Laguerre polynomial" }, { "word": "Laurent polynomial" }, { "word": "Legendre polynomial" }, { "word": "Lucas polynomial" }, { "word": "Macdonald polynomial" }, { "word": "Maclaurin polynomial" }, { "word": "minimal polynomial" }, { "word": "Mittag-Leffler polynomial" }, { "word": "Narumi polynomial" }, { "word": "Pidduck polynomial" }, { "word": "polynomial algebra" }, { "word": "polynomial basis" }, { "word": "polynomial complexity" }, { "word": "polynomial equation" }, { "word": "polynomial form" }, { "word": "polynomial function" }, { "word": "polynomial interpolation" }, { "word": "polynomial 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"expansion": "polynomial (plural polynomials)", "name": "en-noun" } ], "holonyms": [ { "word": "rational function" } ], "hyponyms": [ { "word": "binomial" }, { "word": "homogeneous polynomial" }, { "word": "monomial" }, { "word": "trinomial" }, { "word": "quadrinomial" }, { "word": "quantic" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ "en:Algebra", "en:Polynomials" ], "glosses": [ "An expression consisting of a sum of a finite number of terms, each term being the product of a constant coefficient and one or more variables raised to a non-negative integer power, such as a_nxⁿ+a_n-1xⁿ⁻¹+...+a_0x⁰." ], "links": [ [ "algebra", "algebra" ], [ "terms", "terms" ], [ "constant", "constant" ], [ "coefficient", "coefficient" ], [ "variable", "variable" ], [ "non-negative", "non-negative" ], [ "integer", "integer" ] ], "raw_glosses": [ "(algebra, strict sense) An expression consisting of a sum of a finite number of terms, each term being the product of 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"code": "ca", "lang": "Catalan", "sense": "algebraic expression", "tags": [ "masculine" ], "word": "polinomi" }, { "code": "cmn", "lang": "Chinese Mandarin", "sense": "algebraic expression", "word": "多項式" }, { "code": "cmn", "lang": "Chinese Mandarin", "roman": "duōxiàngshì", "sense": "algebraic expression", "word": "多项式" }, { "code": "cs", "lang": "Czech", "sense": "algebraic expression", "tags": [ "masculine" ], "word": "polynom" }, { "code": "da", "lang": "Danish", "sense": "algebraic expression", "tags": [ "neuter" ], "word": "polynomium" }, { "code": "nl", "lang": "Dutch", "sense": "algebraic expression", "tags": [ "masculine", "neuter" ], "word": "polynoom" }, { "code": "nl", "lang": "Dutch", "sense": "algebraic expression", "tags": [ "masculine" ], "word": "veelterm" }, { "code": "et", "lang": "Estonian", "sense": "algebraic expression", "word": "polünoom" }, { "code": "fi", "lang": "Finnish", "sense": "algebraic expression", "word": "polynomi" }, { "code": "fr", "lang": "French", "sense": "algebraic expression", "tags": [ "masculine" ], "word": "polynôme" }, { "code": "gl", "lang": "Galician", "sense": "algebraic expression", "tags": [ "masculine" ], "word": "polinomio" }, { "code": "de", "lang": "German", "sense": "algebraic expression", "tags": [ "neuter" ], "word": "Polynom" }, { "code": "el", "lang": "Greek", "roman": "polyónymo", "sense": "algebraic expression", "tags": [ "neuter" ], "word": "πολυώνυμο" }, { "code": "hi", "lang": "Hindi", "roman": "bahupad", "sense": "algebraic expression", "word": "बहुपद" }, { "code": "hu", "lang": "Hungarian", "sense": "algebraic expression", "word": "polinom" }, { "code": "is", "lang": "Icelandic", "sense": "algebraic expression", "tags": [ "feminine" ], "word": "margliða" }, { "code": "it", "lang": "Italian", "sense": "algebraic expression", "tags": [ "masculine" ], "word": "polinomio" }, { "alt": "たこうしき", "code": "ja", "lang": "Japanese", "roman": "takōshiki", "sense": "algebraic expression", "word": "多項式" }, { "code": "km", "lang": "Khmer", "roman": "pea’hu’tʰie", "sense": "algebraic expression", "word": "ពហុធា" }, { "code": "ko", "lang": "Korean", "roman": "dahangsik", "sense": "algebraic expression", "word": "다항식" }, { "code": "ml", "lang": "Malayalam", "roman": "bahupadaṁ", "sense": "algebraic expression", "word": "ബഹുപദം" }, { "code": "no", "lang": "Norwegian", "sense": "algebraic expression", "tags": [ "neuter" ], "word": "polynom" }, { "code": "pl", "lang": "Polish", "sense": "algebraic expression", "tags": [ "masculine" ], "word": "wielomian" }, { "code": "pt", "lang": "Brazilian Portuguese", "sense": "algebraic expression", "tags": [ "masculine" ], "word": "polinômio" }, { "code": "pt", "lang": "European Portuguese", "sense": "algebraic expression", "tags": [ "masculine" ], "word": "polinómio" }, { "code": "ro", "lang": "Romanian", "sense": "algebraic expression", "tags": [ "neuter" ], "word": "polinom" }, { "code": "ru", "lang": "Russian", "roman": "mnogočlén", "sense": "algebraic expression", "tags": [ "masculine" ], "word": "многочле́н" }, { "code": "es", "lang": "Spanish", "sense": "algebraic expression", "tags": [ "masculine" ], "word": "polinomio" }, { "code": "sv", "lang": "Swedish", "sense": "algebraic expression", "tags": [ "neuter" ], "word": "polynom" }, { "code": "tl", "lang": "Tagalog", "sense": "algebraic expression", "word": "damikay" }, { "code": "th", "lang": "Thai", "roman": "pá-hù-naam", "sense": "algebraic expression", "word": "พหุนาม" }, { "code": "tr", "lang": "Turkish", "sense": "algebraic expression", "word": "polinom" }, { "code": "vi", "lang": "Vietnamese", "sense": "algebraic expression", "word": "đa thức" }, { "code": "fr", "lang": "French", "sense": "taxonomic designation", "tags": [ "masculine" ], "word": "polynôme" } ], "wikipedia": [ "polynomial" ], "word": "polynomial" } { "categories": [ "English 4-syllable words", "English adjectives", "English countable nouns", "English entries with incorrect language header", "English entries with topic categories using raw markup", "English lemmas", "English nouns", "English terms derived from Proto-Indo-European", "English terms derived from the Proto-Indo-European root *nem-", "English terms prefixed with poly-", "English terms suffixed with -nomial", "English terms with IPA pronunciation", "English terms with audio links", "English uncomparable adjectives", "en:Numbers" ], "etymology_templates": [ { "args": { "1": "en", "2": "ine-pro", "3": "*nem-" }, "expansion": "", "name": "root" }, { "args": { "1": "en", "2": "poly", "3": "nomial" }, "expansion": "poly- + -nomial", "name": "confix" }, { "args": { "1": "grc", "2": "νομός", "3": "", "4": "portion, part" }, "expansion": "νομός (nomós, “portion, part”)", "name": "m" }, { "args": { "1": "en", "2": "binomial" }, "expansion": "binomial", "name": "m" } ], "etymology_text": "poly- + -nomial, from νομός (nomós, “portion, part”), by analogy with binomial.", "head_templates": [ { "args": { "1": "-" }, "expansion": "polynomial (not comparable)", "name": "en-adj" } ], "lang": "English", "lang_code": "en", "pos": "adj", "senses": [ { "categories": [ "en:Algebra" ], "glosses": [ "Able to be described or limited by a polynomial." ], "links": [ [ "algebra", "algebra" ], [ "polynomial", "#Noun" ] ], "raw_glosses": [ "(algebra) Able to be described or limited by a polynomial." ], "tags": [ "not-comparable" ], "topics": [ "algebra", "mathematics", "sciences" ] }, { "categories": [ "en:Taxonomy" ], "glosses": [ "of a polynomial name or entity" ], "links": [ [ "taxonomy", "taxonomy" ] ], "raw_glosses": [ "(taxonomy) of a polynomial name or entity" ], "tags": [ "not-comparable" ], "topics": [ "biology", "natural-sciences", "taxonomy" ] } ], "sounds": [ { "ipa": "/ˌpɒlɪˈnəʊmɪəl/", "tags": [ "UK" ] }, { "ipa": "/ˌpɑliˈnoʊmiəl/", "tags": [ "US" ] }, { "audio": "LL-Q1860 (eng)-Vealhurl-polynomial.wav", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/c/cb/LL-Q1860_%28eng%29-Vealhurl-polynomial.wav/LL-Q1860_%28eng%29-Vealhurl-polynomial.wav.mp3", "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/c/cb/LL-Q1860_%28eng%29-Vealhurl-polynomial.wav/LL-Q1860_%28eng%29-Vealhurl-polynomial.wav.ogg", "tags": [ "Southern-England" ], "text": "Audio (Southern England)" } ], "translations": [ { "code": "af", "lang": "Afrikaans", "sense": "in algebra", "word": "polinomies" }, { "code": "ca", "lang": "Catalan", "sense": "in algebra", "word": "polinomial" }, { "code": "cs", "lang": "Czech", "sense": "in algebra", "word": "polynomický" }, { "code": "fi", "lang": "Finnish", "sense": "in algebra", "word": "polynominen" }, { "code": "fr", "lang": "French", "sense": "in algebra", "word": "polynomial" }, { "code": "de", "lang": "German", "sense": "in algebra", "word": "polynomisch" }, { "code": "el", "lang": "Greek", "roman": "polyonymikós", "sense": "in algebra", "word": "πολυωνυμικός" }, { "code": "hu", "lang": "Hungarian", "sense": "in algebra", "word": "polinomiális" }, { "code": "it", "lang": "Italian", "sense": "in algebra", "word": "polinomiale" }, { "code": "pl", "lang": "Polish", "sense": "in algebra", "tags": [ "masculine" ], "word": "wielomianowy" }, { "code": "pt", "lang": "Portuguese", "sense": "in algebra", "word": "polinomial" }, { "code": "ro", "lang": "Romanian", "sense": "in algebra", "word": "polinomial" }, { "code": "ro", "lang": "Romanian", "sense": "in algebra", "word": "polinomic" }, { "code": "ru", "lang": "Russian", "roman": "mnogočlénnyj", "sense": "in algebra", "word": "многочле́нный" }, { "code": "ru", "lang": "Russian", "roman": "polinomiálʹnyj", "sense": "in algebra", "word": "полиномиа́льный" }, { "code": "es", "lang": "Spanish", "sense": "in algebra", "word": "polinomial" }, { "code": "es", "lang": "Spanish", "sense": "in algebra", "word": "polinómico" }, { "code": "sv", "lang": "Swedish", "sense": "in algebra", "word": "polynomiell" }, { "code": "th", "lang": "Thai", "roman": "pá-hù-naam", "sense": "in algebra", "word": "พหุนาม" }, { "code": "tr", "lang": "Turkish", "sense": "in algebra", "word": "polinom" }, { "code": "vi", "lang": "Vietnamese", "sense": "in algebra", "word": "đa thức" }, { "code": "fr", "lang": "French", "sense": "in taxonomy", "tags": [ "masculine" ], "word": "polynominal" }, { "code": "fr", "lang": "French", "sense": "in taxonomy", "tags": [ "feminine" ], "word": "polynominale" }, { "code": "fr", "lang": "French", "sense": "in taxonomy", "tags": [ "masculine" ], "word": "polynomial" }, { "code": "fr", "lang": "French", "sense": "in taxonomy", "tags": [ "feminine" ], "word": "polynomiale" } ], "wikipedia": [ "polynomial" ], "word": "polynomial" } { "forms": [ { "form": "polynomiale", "tags": [ "feminine" ] }, { "form": "polynomiaux", "tags": [ "masculine", "plural" ] }, { "form": "polynomiales", "tags": [ "feminine", "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "polynomial (feminine polynomiale, masculine plural polynomiaux, feminine plural polynomiales)", "name": "fr-adj" } ], "lang": "French", "lang_code": "fr", "pos": "adj", "related": [ { "word": "polynôme" } ], "senses": [ { "categories": [ "French adjectives", "French entries with incorrect language header", "French lemmas", "French terms with audio links", "fr:Numbers" ], "glosses": [ "polynomial" ], "links": [ [ "polynomial", "#Adjective" ] ] } ], "sounds": [ { "audio": "LL-Q150 (fra)-Lepticed7-polynomial.wav", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/7/7b/LL-Q150_%28fra%29-Lepticed7-polynomial.wav/LL-Q150_%28fra%29-Lepticed7-polynomial.wav.mp3", "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/7/7b/LL-Q150_%28fra%29-Lepticed7-polynomial.wav/LL-Q150_%28fra%29-Lepticed7-polynomial.wav.ogg", "text": "Audio" } ], "word": "polynomial" }
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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.
If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.