See nombre algébrique in All languages combined, or Wiktionary
{ "antonyms": [ { "word": "nombre transcendant" } ], "categories": [ { "kind": "other", "name": "Compositions en français", "parents": [], "source": "w" }, { "kind": "other", "name": "Locutions nominales en français", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en allemand", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en anglais", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en arabe", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en chinois", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en espagnol", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en finnois", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en galicien", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en hongrois", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en islandais", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en italien", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en kazakh", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en kotava", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en latin", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en occitan", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en roumain", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en russe", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en serbo-croate", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en suédois", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en tchèque", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en thaï", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en turc", "parents": [], "source": "w" }, { "kind": "other", "name": "Français", "orig": "français", "parents": [], "source": "w" } ], "etymology_texts": [ "(XIXᵉ siècle)Composé de nombre et de algébrique. Appellation due au mathématicien norvégien Niels Henrik Abel, entre 1824 et 1829.\n:: Le concept de nombre algébrique, appellation due à Abel, est né de la volonté des mathématiciens de résoudre les équations “algébriques” c'est à dire de calculer les valeurs exactes, ou approchées à toute précision voulue, de nombres x vérifiant une équation du type P(x)=0, où P désigne un polynôme à coefficients entiers ou fractionnaires. — (Serge Mehl, Une chronologie des Mathématiques, chap. : Théorie des nombres algébriques.)" ], "forms": [ { "form": "nombres algébriques", "tags": [ "plural" ] } ], "hyponyms": [ { "word": "entier algébrique" }, { "word": "entier quadratique" }, { "word": "nombre d’or" }, { "word": "entier de Gauss" }, { "word": "entier d’Eisenstein" }, { "word": "racine de l’unité" } ], "lang": "Français", "lang_code": "fr", "pos": "noun", "pos_title": "Locution nominale", "related": [ { "word": "clôture algébrique" } ], "senses": [ { "categories": [ { "kind": "other", "name": "Exemples en français", "parents": [], "source": "w" }, { "kind": "other", "name": "Lexique en français des mathématiques", "parents": [], "source": "w" } ], "examples": [ { "text": "Les racines carrées des entiers naturels sont des nombres algébriques, mais par exemple la constante du cercle, pi, n'en est pas un." }, { "ref": "Marcel Boll – Cité par : Alexandre Moatti, Les indispensables mathématiques et physiques pour tous, Odile Jacob : voir https://www.odilejacob.fr/catalogue/sciences/physique-chimie/indispensables-mathematiques-et-physiques-pour-tous_9782738126764.php, 2006, ISBN 9782738126764 [présentation en ligne]", "text": "Les nombres algébriques sont comme les étoiles sur le fond du ciel, et l'obscurité épaisse est le firmament des nombres complexes." } ], "glosses": [ "Nombre qui est solution d’une équation polynomiale à coefficients rationnels." ], "id": "fr-nombre_algébrique-fr-noun-4VD3cqai", "topics": [ "mathematics" ] } ], "sounds": [ { "ipa": "\\nɔ̃.bʁ‿al.ʒe.bʁik\\" } ], "tags": [ "masculine" ], "translations": [ { "lang": "Allemand", "lang_code": "de", "tags": [ "feminine" ], "word": "algebraische Zahl" }, { "lang": "Anglais", "lang_code": "en", "word": "algebraic number" }, { "lang": "Arabe", "lang_code": "ar", "roman": "'ada jabrii", "word": "عَدَد جَبْرِي" }, { "lang": "Chinois", "lang_code": "zh", "roman": "dàishù shù", "traditional_writing": "代數數", "word": "代数数" }, { "lang": "Espagnol", "lang_code": "es", "word": "número algebraico" }, { "lang": "Finnois", "lang_code": "fi", "word": "algebrallinen luku" }, { "lang": "Galicien", "lang_code": "gl", "tags": [ "masculine" ], "word": "número alxébrico" }, { "lang": "Hongrois", "lang_code": "hu", "word": "algebrai szám" }, { "lang": "Islandais", "lang_code": "is", "tags": [ "feminine" ], "word": "algebruleg tala" }, { "lang": "Islandais", "lang_code": "is", "tags": [ "feminine" ], "word": "algebrutala" }, { "lang": "Italien", "lang_code": "it", "tags": [ "masculine" ], "word": "numero algebrico" }, { "lang": "Kazakh", "lang_code": "kk", "roman": "algebralyq san", "word": "алгебралық сан" }, { "lang": "Kotava", "lang_code": "avk", "word": "miltayota" }, { "lang": "Latin", "lang_code": "la", "tags": [ "masculine" ], "word": "numerus algebraicus" }, { "lang": "Occitan", "lang_code": "oc", "word": "nombre algebric" }, { "lang": "Roumain", "lang_code": "ro", "tags": [ "neuter" ], "word": "număr algebric" }, { "lang": "Russe", "lang_code": "ru", "tags": [ "neuter" ], "word": "алгебраическое число" }, { "lang": "Serbo-croate", "lang_code": "sh", "word": "algebarski broj" }, { "lang": "Suédois", "lang_code": "sv", "tags": [ "neuter" ], "word": "algebraiskt tal" }, { "lang": "Tchèque", "lang_code": "cs", "tags": [ "neuter" ], "word": "algebraické číslo" }, { "lang": "Thaï", "lang_code": "th", "roman": "jam-nuuan-chəəng-pii-chá-ká-nít", "word": "จำนวนเชิงพีชคณิต" }, { "lang": "Turc", "lang_code": "tr", "word": "cebirsel sayılar" } ], "word": "nombre algébrique" }
{ "antonyms": [ { "word": "nombre transcendant" } ], "categories": [ "Compositions en français", "Locutions nominales en français", "Traductions en allemand", "Traductions en anglais", "Traductions en arabe", "Traductions en chinois", "Traductions en espagnol", "Traductions en finnois", "Traductions en galicien", "Traductions en hongrois", "Traductions en islandais", "Traductions en italien", "Traductions en kazakh", "Traductions en kotava", "Traductions en latin", "Traductions en occitan", "Traductions en roumain", "Traductions en russe", "Traductions en serbo-croate", "Traductions en suédois", "Traductions en tchèque", "Traductions en thaï", "Traductions en turc", "français" ], "etymology_texts": [ "(XIXᵉ siècle)Composé de nombre et de algébrique. Appellation due au mathématicien norvégien Niels Henrik Abel, entre 1824 et 1829.\n:: Le concept de nombre algébrique, appellation due à Abel, est né de la volonté des mathématiciens de résoudre les équations “algébriques” c'est à dire de calculer les valeurs exactes, ou approchées à toute précision voulue, de nombres x vérifiant une équation du type P(x)=0, où P désigne un polynôme à coefficients entiers ou fractionnaires. — (Serge Mehl, Une chronologie des Mathématiques, chap. : Théorie des nombres algébriques.)" ], "forms": [ { "form": "nombres algébriques", "tags": [ "plural" ] } ], "hyponyms": [ { "word": "entier algébrique" }, { "word": "entier quadratique" }, { "word": "nombre d’or" }, { "word": "entier de Gauss" }, { "word": "entier d’Eisenstein" }, { "word": "racine de l’unité" } ], "lang": "Français", "lang_code": "fr", "pos": "noun", "pos_title": "Locution nominale", "related": [ { "word": "clôture algébrique" } ], "senses": [ { "categories": [ "Exemples en français", "Lexique en français des mathématiques" ], "examples": [ { "text": "Les racines carrées des entiers naturels sont des nombres algébriques, mais par exemple la constante du cercle, pi, n'en est pas un." }, { "ref": "Marcel Boll – Cité par : Alexandre Moatti, Les indispensables mathématiques et physiques pour tous, Odile Jacob : voir https://www.odilejacob.fr/catalogue/sciences/physique-chimie/indispensables-mathematiques-et-physiques-pour-tous_9782738126764.php, 2006, ISBN 9782738126764 [présentation en ligne]", "text": "Les nombres algébriques sont comme les étoiles sur le fond du ciel, et l'obscurité épaisse est le firmament des nombres complexes." } ], "glosses": [ "Nombre qui est solution d’une équation polynomiale à coefficients rationnels." ], "topics": [ "mathematics" ] } ], "sounds": [ { "ipa": "\\nɔ̃.bʁ‿al.ʒe.bʁik\\" } ], "tags": [ "masculine" ], "translations": [ { "lang": "Allemand", "lang_code": "de", "tags": [ "feminine" ], "word": "algebraische Zahl" }, { "lang": "Anglais", "lang_code": "en", "word": "algebraic number" }, { "lang": "Arabe", "lang_code": "ar", "roman": "'ada jabrii", "word": "عَدَد جَبْرِي" }, { "lang": "Chinois", "lang_code": "zh", "roman": "dàishù shù", "traditional_writing": "代數數", "word": "代数数" }, { "lang": "Espagnol", "lang_code": "es", "word": "número algebraico" }, { "lang": "Finnois", "lang_code": "fi", "word": "algebrallinen luku" }, { "lang": "Galicien", "lang_code": "gl", "tags": [ "masculine" ], "word": "número alxébrico" }, { "lang": "Hongrois", "lang_code": "hu", "word": "algebrai szám" }, { "lang": "Islandais", "lang_code": "is", "tags": [ "feminine" ], "word": "algebruleg tala" }, { "lang": "Islandais", "lang_code": "is", "tags": [ "feminine" ], "word": "algebrutala" }, { "lang": "Italien", "lang_code": "it", "tags": [ "masculine" ], "word": "numero algebrico" }, { "lang": "Kazakh", "lang_code": "kk", "roman": "algebralyq san", "word": "алгебралық сан" }, { "lang": "Kotava", "lang_code": "avk", "word": "miltayota" }, { "lang": "Latin", "lang_code": "la", "tags": [ "masculine" ], "word": "numerus algebraicus" }, { "lang": "Occitan", "lang_code": "oc", "word": "nombre algebric" }, { "lang": "Roumain", "lang_code": "ro", "tags": [ "neuter" ], "word": "număr algebric" }, { "lang": "Russe", "lang_code": "ru", "tags": [ "neuter" ], "word": "алгебраическое число" }, { "lang": "Serbo-croate", "lang_code": "sh", "word": "algebarski broj" }, { "lang": "Suédois", "lang_code": "sv", "tags": [ "neuter" ], "word": "algebraiskt tal" }, { "lang": "Tchèque", "lang_code": "cs", "tags": [ "neuter" ], "word": "algebraické číslo" }, { "lang": "Thaï", "lang_code": "th", "roman": "jam-nuuan-chəəng-pii-chá-ká-nít", "word": "จำนวนเชิงพีชคณิต" }, { "lang": "Turc", "lang_code": "tr", "word": "cebirsel sayılar" } ], "word": "nombre algébrique" }
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