See nombre complexe in All languages combined, or Wiktionary
{ "categories": [ { "kind": "other", "name": "Locutions nominales en français", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en afrikaans", "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 aragonais", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en azéri", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en basque", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en bosniaque", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en catalan", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en chinois", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en coréen", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en croate", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en danois", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en espagnol", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en espéranto", "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 grec", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en indonésien", "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 japonais", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en norvégien", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en norvégien (nynorsk)", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en néerlandais", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en occitan", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en piémontais", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en polonais", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en portugais", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en roumain", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en sicilien", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en slovaque", "parents": [], "source": "w" }, { "kind": "other", "name": "Traductions en slovène", "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 turc", "parents": [], "source": "w" }, { "kind": "other", "name": "Français", "orig": "français", "parents": [], "source": "w" } ], "etymology_texts": [ "De nombre et de complexe, parce qu’il est composé d’un nombre réel (x) et d’un nombre imaginaire (yi)." ], "forms": [ { "form": "nombres complexes", "tags": [ "plural" ] } ], "hyponyms": [ { "word": "nombre imaginaire" }, { "word": "nombre réel" }, { "word": "nombre rationnel" }, { "word": "nombre décimal" }, { "word": "nombre entier" }, { "word": "entier naturel" }, { "word": "entier relatif" } ], "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": [ { "ref": "C. G. J. Jacobi, Sur les nombres premiers complexes…, dans Journal de mathématiques pures et appliquées, vol. 8, 1843, p. 271", "text": "À l’époque où je m’occupais de ces considérations, je dirigeai mon attention sur certaines propriétés des nombres complexes auxquelles conduit la théorie de la division du cercle. J’ai remarqué dans la Note citée que, si X est un diviseur de p—1, le nombre premier p peut être représenté de plusieurs manières comme produit de deux nombres complexes formés des racines λ^(ièmes) de l’unité." }, { "text": "Les nombres complexes, en notation exponentielle, se notent z = ρ eⁱᶿ." }, { "text": "Dans l’ensemble des nombres complexes, toute équation algébrique admet au moins une solution." } ], "glosses": [ "Nombre que l'on peut exprimer à l'aide d'une partie réelle x et d’une partie imaginaire y, c’est-à-dire de la forme x + iy, où x et y sont des nombres réels et où i est l’unité imaginaire." ], "id": "fr-nombre_complexe-fr-noun-gqjKgRA4", "topics": [ "mathematics" ] } ], "sounds": [ { "audio": "Fr-Paris--nombre complexe.ogg", "ipa": "nɔ̃.bʁə kɔ̃.plɛkɬ͡s", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/0/08/Fr-Paris--nombre_complexe.ogg/Fr-Paris--nombre_complexe.ogg.mp3", "ogg_url": "https://commons.wikimedia.org/wiki/Special:FilePath/Fr-Paris--nombre complexe.ogg", "raw_tags": [ "avec sigmatisme latéral" ] }, { "audio": "LL-Q150 (fra)-WikiLucas00-nombre complexe.wav", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/f/fa/LL-Q150_(fra)-WikiLucas00-nombre_complexe.wav/LL-Q150_(fra)-WikiLucas00-nombre_complexe.wav.mp3", "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/f/fa/LL-Q150_(fra)-WikiLucas00-nombre_complexe.wav/LL-Q150_(fra)-WikiLucas00-nombre_complexe.wav.ogg", "raw_tags": [ "France (Lyon)" ], "wav_url": "https://commons.wikimedia.org/wiki/Special:FilePath/LL-Q150 (fra)-WikiLucas00-nombre complexe.wav" } ], "translations": [ { "lang": "Afrikaans", "lang_code": "af", "word": "komplekse getal" }, { "lang": "Allemand", "lang_code": "de", "tags": [ "feminine" ], "word": "komplexe Zahl" }, { "lang": "Anglais", "lang_code": "en", "word": "complex number" }, { "lang": "Arabe", "lang_code": "ar", "word": "عَدَد مُرَكَّب" }, { "lang": "Aragonais", "lang_code": "an", "word": "numero compleixo" }, { "lang": "Azéri", "lang_code": "az", "word": "kompleks ədəd" }, { "lang": "Basque", "lang_code": "eu", "word": "zenbaki konplexu" }, { "lang": "Bosniaque", "lang_code": "bs", "word": "kompleksan broj" }, { "lang": "Catalan", "lang_code": "ca", "word": "nombre complex" }, { "lang": "Chinois", "lang_code": "zh", "roman": "fùshù", "traditional_writing": "複數", "word": "复数" }, { "lang": "Coréen", "lang_code": "ko", "roman": "boksosu", "traditional_writing": "複素數", "word": "복소수" }, { "lang": "Croate", "lang_code": "hr", "word": "kompleksni broj" }, { "lang": "Danois", "lang_code": "da", "word": "komplekse tal" }, { "lang": "Espagnol", "lang_code": "es", "tags": [ "masculine" ], "word": "número complejo" }, { "lang": "Espéranto", "lang_code": "eo", "word": "kompleksa nombro" }, { "lang": "Finnois", "lang_code": "fi", "word": "kompleksiluku" }, { "lang": "Galicien", "lang_code": "gl", "tags": [ "masculine" ], "word": "número complexo" }, { "lang": "Grec", "lang_code": "el", "word": "μιγαδικός αριθμός" }, { "lang": "Indonésien", "lang_code": "id", "word": "bilangan kompleks" }, { "lang": "Islandais", "lang_code": "is", "word": "tvinntölur" }, { "lang": "Italien", "lang_code": "it", "tags": [ "masculine" ], "word": "numero complesso" }, { "lang": "Japonais", "lang_code": "ja", "roman": "fukusosū", "word": "複素数" }, { "lang": "Néerlandais", "lang_code": "nl", "word": "complex getal" }, { "lang": "Norvégien", "lang_code": "no", "word": "komplekst tall" }, { "lang": "Norvégien (nynorsk)", "lang_code": "nn", "word": "komplekse tal" }, { "lang": "Occitan", "lang_code": "oc", "word": "nombre complèxe" }, { "lang": "Piémontais", "lang_code": "pms", "word": "nùmer compless" }, { "lang": "Polonais", "lang_code": "pl", "word": "liczby zespolone" }, { "lang": "Portugais", "lang_code": "pt", "tags": [ "masculine" ], "word": "número complexo" }, { "lang": "Roumain", "lang_code": "ro", "word": "număr complex" }, { "lang": "Sicilien", "lang_code": "scn", "word": "nùmmuru cumplessu" }, { "lang": "Slovaque", "lang_code": "sk", "word": "komplexné číslo" }, { "lang": "Slovène", "lang_code": "sl", "tags": [ "neuter" ], "word": "kompleksno število" }, { "lang": "Suédois", "lang_code": "sv", "word": "komplext tal" }, { "lang": "Tchèque", "lang_code": "cs", "word": "komplexní číslo" }, { "lang": "Turc", "lang_code": "tr", "word": "karmaşık sayı" } ], "word": "nombre complexe" }
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G. J. Jacobi, Sur les nombres premiers complexes…, dans Journal de mathématiques pures et appliquées, vol. 8, 1843, p. 271", "text": "À l’époque où je m’occupais de ces considérations, je dirigeai mon attention sur certaines propriétés des nombres complexes auxquelles conduit la théorie de la division du cercle. J’ai remarqué dans la Note citée que, si X est un diviseur de p—1, le nombre premier p peut être représenté de plusieurs manières comme produit de deux nombres complexes formés des racines λ^(ièmes) de l’unité." }, { "text": "Les nombres complexes, en notation exponentielle, se notent z = ρ eⁱᶿ." }, { "text": "Dans l’ensemble des nombres complexes, toute équation algébrique admet au moins une solution." } ], "glosses": [ "Nombre que l'on peut exprimer à l'aide d'une partie réelle x et d’une partie imaginaire y, c’est-à-dire de la forme x + iy, où x et y sont des nombres réels et où i est l’unité imaginaire." ], "topics": [ "mathematics" ] } ], "sounds": [ { "audio": "Fr-Paris--nombre complexe.ogg", "ipa": "nɔ̃.bʁə kɔ̃.plɛkɬ͡s", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/0/08/Fr-Paris--nombre_complexe.ogg/Fr-Paris--nombre_complexe.ogg.mp3", "ogg_url": "https://commons.wikimedia.org/wiki/Special:FilePath/Fr-Paris--nombre complexe.ogg", "raw_tags": [ "avec sigmatisme latéral" ] }, { "audio": "LL-Q150 (fra)-WikiLucas00-nombre complexe.wav", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/f/fa/LL-Q150_(fra)-WikiLucas00-nombre_complexe.wav/LL-Q150_(fra)-WikiLucas00-nombre_complexe.wav.mp3", "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/f/fa/LL-Q150_(fra)-WikiLucas00-nombre_complexe.wav/LL-Q150_(fra)-WikiLucas00-nombre_complexe.wav.ogg", "raw_tags": [ "France (Lyon)" ], "wav_url": "https://commons.wikimedia.org/wiki/Special:FilePath/LL-Q150 (fra)-WikiLucas00-nombre complexe.wav" } ], "translations": [ { "lang": "Afrikaans", "lang_code": "af", "word": "komplekse getal" }, { "lang": "Allemand", "lang_code": "de", "tags": [ "feminine" ], "word": "komplexe Zahl" }, { "lang": "Anglais", "lang_code": "en", "word": "complex number" }, { "lang": "Arabe", "lang_code": "ar", "word": "عَدَد مُرَكَّب" }, { "lang": "Aragonais", "lang_code": "an", "word": "numero compleixo" }, { "lang": "Azéri", "lang_code": "az", "word": "kompleks ədəd" }, { "lang": "Basque", "lang_code": "eu", "word": "zenbaki konplexu" }, { "lang": "Bosniaque", "lang_code": "bs", "word": "kompleksan broj" }, { "lang": "Catalan", "lang_code": "ca", "word": "nombre complex" }, { "lang": "Chinois", "lang_code": "zh", "roman": "fùshù", "traditional_writing": "複數", "word": "复数" }, { "lang": "Coréen", "lang_code": "ko", "roman": "boksosu", "traditional_writing": "複素數", "word": "복소수" }, { "lang": "Croate", "lang_code": "hr", "word": "kompleksni broj" }, { "lang": "Danois", "lang_code": "da", "word": "komplekse tal" }, { "lang": "Espagnol", "lang_code": "es", "tags": [ "masculine" ], "word": "número complejo" }, { "lang": "Espéranto", "lang_code": "eo", "word": "kompleksa nombro" }, { "lang": "Finnois", "lang_code": "fi", "word": "kompleksiluku" }, { "lang": "Galicien", "lang_code": "gl", "tags": [ "masculine" ], "word": "número complexo" }, { "lang": "Grec", "lang_code": "el", "word": "μιγαδικός αριθμός" }, { "lang": "Indonésien", "lang_code": "id", "word": "bilangan kompleks" }, { "lang": "Islandais", "lang_code": "is", "word": "tvinntölur" }, { "lang": "Italien", "lang_code": "it", "tags": [ "masculine" ], "word": "numero complesso" }, { "lang": "Japonais", "lang_code": "ja", "roman": "fukusosū", "word": "複素数" }, { "lang": "Néerlandais", "lang_code": "nl", "word": "complex getal" }, { "lang": "Norvégien", "lang_code": "no", "word": "komplekst tall" }, { "lang": "Norvégien (nynorsk)", "lang_code": "nn", "word": "komplekse tal" }, { "lang": "Occitan", "lang_code": "oc", "word": "nombre complèxe" }, { "lang": "Piémontais", "lang_code": "pms", "word": "nùmer compless" }, { "lang": "Polonais", "lang_code": "pl", "word": "liczby zespolone" }, { "lang": "Portugais", "lang_code": "pt", "tags": [ "masculine" ], "word": "número complexo" }, { "lang": "Roumain", "lang_code": "ro", "word": "număr complex" }, { "lang": "Sicilien", "lang_code": "scn", "word": "nùmmuru cumplessu" }, { "lang": "Slovaque", "lang_code": "sk", "word": "komplexné číslo" }, { "lang": "Slovène", "lang_code": "sl", "tags": [ "neuter" ], "word": "kompleksno število" }, { "lang": "Suédois", "lang_code": "sv", "word": "komplext tal" }, { "lang": "Tchèque", "lang_code": "cs", "word": "komplexní číslo" }, { "lang": "Turc", "lang_code": "tr", "word": "karmaşık sayı" } ], "word": "nombre complexe" }
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This page is a part of the kaikki.org machine-readable Français dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the frwiktionary dump dated 2024-12-20 using wiktextract (d8cb2f3 and 4e554ae). 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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