See entier naturel in All languages combined, or Wiktionary
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Ainsi, l’homme a naturellement inventé ces nombres avant même l’émergence de tout formalisme mathématique, justifiant le qualitatif naturel de ce type de nombres." ], "forms": [ { "form": "entiers naturels", "tags": [ "plural" ] } ], "hypernyms": [ { "word": "entier" }, { "word": "nombre entier" } ], "lang": "Français", "lang_code": "fr", "pos": "noun", "pos_title": "Locution nominale", "senses": [ { "categories": [ { "kind": "other", "name": "Exemples en français", "parents": [], "source": "w" }, { "kind": "other", "name": "Lexique en français des mathématiques", "parents": [], "source": "w" } ], "examples": [ { "bold_text_offsets": [ [ 111, 127 ] ], "ref": "Serge Dubuc, Solutions asymptotiques au problème des secrétaires, dans Canadian Journal of Mathematics, vol. XXV,nᵒ 3, 1973, pages 495-505", "text": "Soit n un entier donné, supérieur à 1. On considère l’ensemble des permutations (y₁, y₂, …, yₙ) des n premiers entiers naturels 1, 2, …, n." } ], "glosses": [ "Nombre entier strictement positif : 1, 2, 3, 4, … Le symbole de l’ensemble : ℕ, ℕ^* ou ℕ₁." ], "id": "fr-entier_naturel-fr-noun-GOqbE8iC", "raw_tags": [ "Théorie des nombres" ], "topics": [ "mathematics" ] }, { "categories": [ { "kind": "other", "name": "Exemples en français", "parents": [], "source": "w" }, { "kind": "other", "name": "Lexique en français des mathématiques", "parents": [], "source": "w" } ], "examples": [ { "bold_text_offsets": [ [ 35, 51 ] ], "ref": "Robert Ballieu et Fernand Simonart, Algèbre, l’Université de Louvain, 1955, page vii", "text": "On désignera par\n𝐍, l’ensemble des entiers naturels ou entiers rationnels positifs : 0, 1, 2, 3, … ;\n𝐍^*, l’ensemble des entiers rationnels strictement positifs : 1, 2, 3, … ;\n[…]." } ], "glosses": [ "Nombre entier supérieur ou égal à zéro : 0, 1, 2, 3, 4, … Le symbole de l’ensemble : ℕ ou ℕ₀." ], "id": "fr-entier_naturel-fr-noun-ZITwiNaz", "raw_tags": [ "Théorie des ensembles" ], "topics": [ "mathematics" ] } ], "sounds": [ { "ipa": "\\ɑ̃.tje na.ty.ʁɛl\\" }, { "audio": "Fr-Paris--entier naturel.ogg", "ipa": "ɑ̃.tje na.ty.ʁɛl", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/6/69/Fr-Paris--entier_naturel.ogg/Fr-Paris--entier_naturel.ogg.mp3", "ogg_url": "https://commons.wikimedia.org/wiki/Special:FilePath/Fr-Paris--entier naturel.ogg", "raw_tags": [ "France (Île-de-France)" ] }, { "audio": "LL-Q150 (fra)-LoquaxFR-entier naturel.wav", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/9/9d/LL-Q150_(fra)-LoquaxFR-entier_naturel.wav/LL-Q150_(fra)-LoquaxFR-entier_naturel.wav.mp3", "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/9/9d/LL-Q150_(fra)-LoquaxFR-entier_naturel.wav/LL-Q150_(fra)-LoquaxFR-entier_naturel.wav.ogg", "raw_tags": [ "France (Vosges)" ], "wav_url": "https://commons.wikimedia.org/wiki/Special:FilePath/LL-Q150 (fra)-LoquaxFR-entier naturel.wav" } ], "synonyms": [ { "word": "nombre entier naturel" }, { "word": "nombre naturel" } ], "tags": [ "masculine" ], "translations": [ { "lang": "Afrikaans", "lang_code": "af", "word": "natuurlike getal" }, { "lang": "Allemand", "lang_code": "de", "tags": [ "feminine" ], "word": "natürliche Zahl" }, { "lang": "Anglais", "lang_code": "en", "word": "natural number" }, { "lang": "Arabe", "lang_code": "ar", "word": "عَدَد صَحِيح طَبِيعِي" }, { "lang": "Aragonais", "lang_code": "an", "word": "numero natural" }, { "lang": "Azéri", "lang_code": "az", "word": "natural ədəd" }, { "lang": "Basque", "lang_code": "eu", "word": "zenbaki arrunt" }, { "lang": "Bosniaque", "lang_code": "bs", "word": "prirodan broj" }, { "lang": "Catalan", "lang_code": "ca", "word": "nombre natural" }, { "lang": "Chinois", "lang_code": "zh", "roman": "zìránshù", "traditional_writing": "自然數", "word": "自然数" }, { "lang": "Coréen", "lang_code": "ko", "roman": "jayeonsu", "traditional_writing": "自然數", "word": "자연수" }, { "lang": "Croate", "lang_code": "hr", "word": "prirodni broj" }, { "lang": "Danois", "lang_code": "da", "word": "naturligt tal" }, { "lang": "Espagnol", "lang_code": "es", "tags": [ "masculine" ], "word": "número natural" }, { "lang": "Espéranto", "lang_code": "eo", "word": "natura nombro" }, { "lang": "Féroïen", "lang_code": "fo", "word": "teljital" }, { "lang": "Finnois", "lang_code": "fi", "word": "luonnollinen luku" }, { "lang": "Galicien", "lang_code": "gl", "tags": [ "masculine" ], "word": "número natural" }, { "lang": "Hongrois", "lang_code": "hu", "word": "természetes számok" }, { "lang": "Indonésien", "lang_code": "id", "word": "bilangan asli" }, { "lang": "Islandais", "lang_code": "is", "word": "náttúrlegar tölur" }, { "lang": "Italien", "lang_code": "it", "tags": [ "masculine" ], "word": "numero naturale" }, { "lang": "Japonais", "lang_code": "ja", "roman": "shizensū", "word": "自然数" }, { "lang": "Néerlandais", "lang_code": "nl", "word": "natuurlijk getal" }, { "lang": "Norvégien", "lang_code": "no", "word": "naturlig tall" }, { "lang": "Norvégien (nynorsk)", "lang_code": "nn", "word": "naturleg tal" }, { "lang": "Occitan", "lang_code": "oc", "word": "entièr natural" }, { "lang": "Piémontais", "lang_code": "pms", "word": "nùmer natural" }, { "lang": "Polonais", "lang_code": "pl", "word": "liczba naturalna" }, { "lang": "Portugais", "lang_code": "pt", "tags": [ "masculine" ], "word": "número natural" }, { "lang": "Roumain", "lang_code": "ro", "word": "număr natural" }, { "lang": "Sicilien", "lang_code": "scn", "word": "nùmmuru naturali" }, { "lang": "Slovène", "lang_code": "sl", "word": "naravno število" }, { "lang": "Suédois", "lang_code": "sv", "word": "naturligt tal" }, { "lang": "Tchèque", "lang_code": "cs", "word": "přirozené číslo" }, { "lang": "Turc", "lang_code": "tr", "word": "doğal sayılar" } ], "word": "entier naturel" }
{ "antonyms": [ { "word": "négatif" } ], "categories": [ "Locutions nominales en français", "Traductions en afrikaans", "Traductions en allemand", "Traductions en anglais", "Traductions en arabe", "Traductions en aragonais", "Traductions en azéri", "Traductions en basque", "Traductions en bosniaque", "Traductions en catalan", "Traductions en chinois", "Traductions en coréen", "Traductions en croate", "Traductions en danois", "Traductions en espagnol", "Traductions en espéranto", "Traductions en finnois", "Traductions en féroïen", "Traductions en galicien", "Traductions en hongrois", "Traductions en indonésien", "Traductions en islandais", "Traductions en italien", "Traductions en japonais", "Traductions en norvégien", "Traductions en norvégien (nynorsk)", "Traductions en néerlandais", "Traductions en occitan", "Traductions en piémontais", "Traductions en polonais", "Traductions en portugais", "Traductions en roumain", "Traductions en sicilien", "Traductions en slovène", "Traductions en suédois", "Traductions en tchèque", "Traductions en turc", "français" ], "etymology_texts": [ "Historiquement, les nombres entiers ou entiers naturels (sans le zéro) sont connus de l’homme depuis que celui-ci a eu le besoin de dénombrer des objets. 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On considère l’ensemble des permutations (y₁, y₂, …, yₙ) des n premiers entiers naturels 1, 2, …, n." } ], "glosses": [ "Nombre entier strictement positif : 1, 2, 3, 4, … Le symbole de l’ensemble : ℕ, ℕ^* ou ℕ₁." ], "raw_tags": [ "Théorie des nombres" ], "topics": [ "mathematics" ] }, { "categories": [ "Exemples en français", "Lexique en français des mathématiques" ], "examples": [ { "bold_text_offsets": [ [ 35, 51 ] ], "ref": "Robert Ballieu et Fernand Simonart, Algèbre, l’Université de Louvain, 1955, page vii", "text": "On désignera par\n𝐍, l’ensemble des entiers naturels ou entiers rationnels positifs : 0, 1, 2, 3, … ;\n𝐍^*, l’ensemble des entiers rationnels strictement positifs : 1, 2, 3, … ;\n[…]." } ], "glosses": [ "Nombre entier supérieur ou égal à zéro : 0, 1, 2, 3, 4, … Le symbole de l’ensemble : ℕ ou ℕ₀." ], "raw_tags": [ "Théorie des ensembles" ], "topics": [ "mathematics" ] } ], "sounds": [ { "ipa": "\\ɑ̃.tje na.ty.ʁɛl\\" }, { "audio": "Fr-Paris--entier naturel.ogg", "ipa": "ɑ̃.tje na.ty.ʁɛl", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/6/69/Fr-Paris--entier_naturel.ogg/Fr-Paris--entier_naturel.ogg.mp3", "ogg_url": "https://commons.wikimedia.org/wiki/Special:FilePath/Fr-Paris--entier naturel.ogg", "raw_tags": [ "France (Île-de-France)" ] }, { "audio": "LL-Q150 (fra)-LoquaxFR-entier naturel.wav", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/9/9d/LL-Q150_(fra)-LoquaxFR-entier_naturel.wav/LL-Q150_(fra)-LoquaxFR-entier_naturel.wav.mp3", "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/9/9d/LL-Q150_(fra)-LoquaxFR-entier_naturel.wav/LL-Q150_(fra)-LoquaxFR-entier_naturel.wav.ogg", "raw_tags": [ "France (Vosges)" ], "wav_url": "https://commons.wikimedia.org/wiki/Special:FilePath/LL-Q150 (fra)-LoquaxFR-entier naturel.wav" } ], "synonyms": [ { "word": "nombre entier naturel" }, { "word": "nombre naturel" } ], "tags": [ "masculine" ], "translations": [ { "lang": "Afrikaans", "lang_code": "af", "word": "natuurlike getal" }, { "lang": "Allemand", "lang_code": "de", "tags": [ "feminine" ], "word": "natürliche Zahl" }, { "lang": "Anglais", "lang_code": "en", "word": "natural number" }, { "lang": "Arabe", "lang_code": "ar", "word": "عَدَد صَحِيح طَبِيعِي" }, { "lang": "Aragonais", "lang_code": "an", "word": "numero natural" }, { "lang": "Azéri", "lang_code": "az", "word": "natural ədəd" }, { "lang": "Basque", "lang_code": "eu", "word": "zenbaki arrunt" }, { "lang": "Bosniaque", "lang_code": "bs", "word": "prirodan broj" }, { "lang": "Catalan", "lang_code": "ca", "word": "nombre natural" }, { "lang": "Chinois", "lang_code": "zh", "roman": "zìránshù", "traditional_writing": "自然數", "word": "自然数" }, { "lang": "Coréen", "lang_code": "ko", "roman": "jayeonsu", "traditional_writing": "自然數", "word": "자연수" }, { "lang": "Croate", "lang_code": "hr", "word": "prirodni broj" }, { "lang": "Danois", "lang_code": "da", "word": "naturligt tal" }, { "lang": "Espagnol", "lang_code": "es", "tags": [ "masculine" ], "word": "número natural" }, { "lang": "Espéranto", "lang_code": "eo", "word": "natura nombro" }, { "lang": "Féroïen", "lang_code": "fo", "word": "teljital" }, { "lang": "Finnois", "lang_code": "fi", "word": "luonnollinen luku" }, { "lang": "Galicien", "lang_code": "gl", "tags": [ "masculine" ], "word": "número natural" }, { "lang": "Hongrois", "lang_code": "hu", "word": "természetes számok" }, { "lang": "Indonésien", "lang_code": "id", "word": "bilangan asli" }, { "lang": "Islandais", "lang_code": "is", "word": "náttúrlegar tölur" }, { "lang": "Italien", "lang_code": "it", "tags": [ "masculine" ], "word": "numero naturale" }, { "lang": "Japonais", "lang_code": "ja", "roman": "shizensū", "word": "自然数" }, { "lang": "Néerlandais", "lang_code": "nl", "word": "natuurlijk getal" }, { "lang": "Norvégien", "lang_code": "no", "word": "naturlig tall" }, { "lang": "Norvégien (nynorsk)", "lang_code": "nn", "word": "naturleg tal" }, { "lang": "Occitan", "lang_code": "oc", "word": "entièr natural" }, { "lang": "Piémontais", "lang_code": "pms", "word": "nùmer natural" }, { "lang": "Polonais", "lang_code": "pl", "word": "liczba naturalna" }, { "lang": "Portugais", "lang_code": "pt", "tags": [ "masculine" ], "word": "número natural" }, { "lang": "Roumain", "lang_code": "ro", "word": "număr natural" }, { "lang": "Sicilien", "lang_code": "scn", "word": "nùmmuru naturali" }, { "lang": "Slovène", "lang_code": "sl", "word": "naravno število" }, { "lang": "Suédois", "lang_code": "sv", "word": "naturligt tal" }, { "lang": "Tchèque", "lang_code": "cs", "word": "přirozené číslo" }, { "lang": "Turc", "lang_code": "tr", "word": "doğal sayılar" } ], "word": "entier naturel" }
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