See bijection on Wiktionary
{
"etymology_templates": [
{
"args": {
"1": "en",
"2": "dwóh₁"
},
"expansion": "PIE word\n *dwóh₁",
"name": "PIE word"
},
{
"args": {
"1": "en",
"2": "fr",
"3": "bijection"
},
"expansion": "French bijection",
"name": "bor"
}
],
"etymology_text": "PIE word\n *dwóh₁\nFrom French bijection, introduced by Nicolas Bourbaki in their treatise Éléments de mathématique.",
"forms": [
{
"form": "bijections",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "bijection (plural bijections)",
"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": "Entries with translation boxes",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Hebrew terms with redundant script codes",
"parents": [
"Terms with redundant script codes",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "other",
"name": "Japanese terms with redundant script codes",
"parents": [
"Terms with redundant script codes",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "other",
"name": "Korean terms with redundant script codes",
"parents": [
"Terms with redundant script codes",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "other",
"name": "Mandarin terms with redundant transliterations",
"parents": [
"Terms with redundant transliterations",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "other",
"name": "Pages with 2 entries",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Catalan translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Czech translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Dutch translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Esperanto translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Estonian translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Finnish translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with French translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with German translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Greek translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Hebrew translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Hindi translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Hungarian translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Icelandic translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Ido translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Japanese translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Korean translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Mandarin translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Polish translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Portuguese translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Romanian translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Russian translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Serbo-Croatian translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Spanish translations",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Terms with Swedish translations",
"parents": [],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Functions",
"orig": "en:Functions",
"parents": [
"Algebra",
"Calculus",
"Geometry",
"Mathematical analysis",
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Set theory",
"orig": "en:Set theory",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"examples": [
{
"ref": "2002, Yves Nievergelt, Foundations of Logic and Mathematics, page 214:",
"text": "The present text has defined a set to be finite if and only if there exists a bijection onto a natural number, and infinite if and only if there does not exist any such bijection.",
"type": "quote"
},
{
"ref": "2007, C. J. Date, Logic and Databases: The Roots of Relational Theory, page 167:",
"text": "Note in particular that a function is a bijection if and only if it's both an injection and a surjection.",
"type": "quote"
},
{
"ref": "2013, William F. Basener, Topology and Its Applications, unnumbered page:",
"text": "The basic idea is that two sets A and B have the same cardinality if there is a bijection from A to B. Since the domain and range of the bijection is not relevant here, we often refer to a bijection from A to B as a bijection between the sets, or a one-to-one correspondence between the elements of the sets.",
"type": "quote"
}
],
"glosses": [
"A one-to-one correspondence, a function which is both a surjection and an injection."
],
"id": "en-bijection-en-noun-xM4rpz94",
"links": [
[
"set theory",
"set theory"
],
[
"one-to-one",
"one-to-one"
],
[
"correspondence",
"correspondence"
],
[
"surjection",
"surjection"
],
[
"injection",
"injection"
]
],
"raw_glosses": [
"(set theory) A one-to-one correspondence, a function which is both a surjection and an injection."
],
"related": [
{
"word": "injection"
},
{
"word": "surjection"
}
],
"synonyms": [
{
"word": "bijective function"
},
{
"word": "one-to-one correspondence"
}
],
"topics": [
"mathematics",
"sciences",
"set-theory"
],
"translations": [
{
"code": "ca",
"lang": "Catalan",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "funció bijectiva"
},
{
"code": "ca",
"lang": "Catalan",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "bijecció"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "yīyīyìngshè",
"sense": "function that is both a surjection and an injection",
"word": "一一映射"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "function that is both a surjection and an injection",
"word": "雙射"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "shuāngshè",
"sense": "function that is both a surjection and an injection",
"word": "双射"
},
{
"code": "cs",
"lang": "Czech",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "bijekce"
},
{
"code": "nl",
"lang": "Dutch",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "bijectie"
},
{
"code": "eo",
"lang": "Esperanto",
"sense": "function that is both a surjection and an injection",
"word": "dissurĵeto"
},
{
"code": "eo",
"lang": "Esperanto",
"sense": "function that is both a surjection and an injection",
"word": "inversigebla funkcio"
},
{
"code": "eo",
"lang": "Esperanto",
"sense": "function that is both a surjection and an injection",
"word": "bijekcio"
},
{
"code": "et",
"lang": "Estonian",
"sense": "function that is both a surjection and an injection",
"word": "bijektsioon"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "function that is both a surjection and an injection",
"word": "bijektio"
},
{
"code": "fr",
"lang": "French",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "bijection"
},
{
"code": "de",
"lang": "German",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "Bijektion"
},
{
"code": "de",
"lang": "German",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "bijektive Funktion"
},
{
"code": "el",
"lang": "Greek",
"roman": "amfimonosímanti antistoichía",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "αμφιμονοσήμαντη αντιστοιχία"
},
{
"code": "he",
"lang": "Hebrew",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "פונקציה חד-חד-ערכית ועל"
},
{
"code": "hi",
"lang": "Hindi",
"roman": "ekaikī ācchādan",
"sense": "function that is both a surjection and an injection",
"word": "एकैकी आच्छादन"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "function that is both a surjection and an injection",
"word": "bijekció"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "function that is both a surjection and an injection",
"word": "kölcsönösen egyértelmű leképezés"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "gagntæk vörpun"
},
{
"code": "io",
"lang": "Ido",
"sense": "function that is both a surjection and an injection",
"word": "bijekto"
},
{
"alt": "ぜんたんしゃ",
"code": "ja",
"lang": "Japanese",
"roman": "zentansha",
"sense": "function that is both a surjection and an injection",
"word": "全単射"
},
{
"alt": "そうしゃ",
"code": "ja",
"lang": "Japanese",
"roman": "sōsha",
"sense": "function that is both a surjection and an injection",
"word": "双射"
},
{
"code": "ko",
"lang": "Korean",
"roman": "jeondansa",
"sense": "function that is both a surjection and an injection",
"word": "전단사"
},
{
"code": "pl",
"lang": "Polish",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "bijekcja"
},
{
"code": "pl",
"lang": "Polish",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "funkcja wzajemnie jednoznaczna"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "bijeção"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "bijecție"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "funcție bijectivă"
},
{
"code": "ru",
"lang": "Russian",
"roman": "bijékcija",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "бие́кция"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "bijekcija"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "бијекција"
},
{
"code": "es",
"lang": "Spanish",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "biyección"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "function that is both a surjection and an injection",
"tags": [
"common-gender"
],
"word": "bijektion"
}
],
"wikipedia": [
"Nicolas Bourbaki",
"bijection",
"Éléments de mathématique"
]
}
],
"sounds": [
{
"ipa": "/baɪˈd͡ʒɛk.ʃən/"
}
],
"word": "bijection"
}
{
"etymology_templates": [
{
"args": {
"1": "fr",
"2": "la",
"3": "bi-"
},
"expansion": "Latin bi-",
"name": "der"
}
],
"etymology_text": "From Latin bi- + iaciō.",
"forms": [
{
"form": "bijections",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "f"
},
"expansion": "bijection f (plural bijections)",
"name": "fr-noun"
}
],
"lang": "French",
"lang_code": "fr",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "French entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "other",
"name": "Pages with 2 entries",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w"
},
{
"kind": "topical",
"langcode": "fr",
"name": "Set theory",
"orig": "fr:Set theory",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"examples": [
{
"english": "I would like to show that this function is an inverse bijection.",
"text": "Je voudrais démontrer que cette fonction est une bijection réciproque.",
"type": "example"
}
],
"glosses": [
"bijection"
],
"id": "en-bijection-fr-noun-ixzW-IyJ",
"links": [
[
"set theory",
"set theory"
],
[
"bijection",
"bijection#English"
]
],
"raw_glosses": [
"(set theory) bijection"
],
"tags": [
"feminine"
],
"topics": [
"mathematics",
"sciences",
"set-theory"
]
}
],
"sounds": [
{
"ipa": "/bi.ʒɛk.sjɔ̃/"
},
{
"audio": "Fr-Paris--bijection.ogg",
"mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/d/d6/Fr-Paris--bijection.ogg/Fr-Paris--bijection.ogg.mp3",
"ogg_url": "https://upload.wikimedia.org/wikipedia/commons/d/d6/Fr-Paris--bijection.ogg"
},
{
"audio": "Fr-bijection.ogg",
"mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/4/47/Fr-bijection.ogg/Fr-bijection.ogg.mp3",
"ogg_url": "https://upload.wikimedia.org/wikipedia/commons/4/47/Fr-bijection.ogg"
}
],
"word": "bijection"
}
{
"etymology_templates": [
{
"args": {
"1": "en",
"2": "dwóh₁"
},
"expansion": "PIE word\n *dwóh₁",
"name": "PIE word"
},
{
"args": {
"1": "en",
"2": "fr",
"3": "bijection"
},
"expansion": "French bijection",
"name": "bor"
}
],
"etymology_text": "PIE word\n *dwóh₁\nFrom French bijection, introduced by Nicolas Bourbaki in their treatise Éléments de mathématique.",
"forms": [
{
"form": "bijections",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "bijection (plural bijections)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"related": [
{
"word": "injection"
},
{
"word": "surjection"
}
],
"senses": [
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English nouns",
"English terms borrowed from French",
"English terms derived from French",
"English terms derived from the Proto-Indo-European word *dwóh₁",
"English terms with quotations",
"Entries with translation boxes",
"Hebrew terms with redundant script codes",
"Japanese terms with redundant script codes",
"Korean terms with redundant script codes",
"Mandarin terms with redundant transliterations",
"Pages with 2 entries",
"Pages with entries",
"Terms with Catalan translations",
"Terms with Czech translations",
"Terms with Dutch translations",
"Terms with Esperanto translations",
"Terms with Estonian translations",
"Terms with Finnish translations",
"Terms with French translations",
"Terms with German translations",
"Terms with Greek translations",
"Terms with Hebrew translations",
"Terms with Hindi translations",
"Terms with Hungarian translations",
"Terms with Icelandic translations",
"Terms with Ido translations",
"Terms with Japanese translations",
"Terms with Korean translations",
"Terms with Mandarin translations",
"Terms with Polish translations",
"Terms with Portuguese translations",
"Terms with Romanian translations",
"Terms with Russian translations",
"Terms with Serbo-Croatian translations",
"Terms with Spanish translations",
"Terms with Swedish translations",
"en:Functions",
"en:Set theory"
],
"examples": [
{
"ref": "2002, Yves Nievergelt, Foundations of Logic and Mathematics, page 214:",
"text": "The present text has defined a set to be finite if and only if there exists a bijection onto a natural number, and infinite if and only if there does not exist any such bijection.",
"type": "quote"
},
{
"ref": "2007, C. J. Date, Logic and Databases: The Roots of Relational Theory, page 167:",
"text": "Note in particular that a function is a bijection if and only if it's both an injection and a surjection.",
"type": "quote"
},
{
"ref": "2013, William F. Basener, Topology and Its Applications, unnumbered page:",
"text": "The basic idea is that two sets A and B have the same cardinality if there is a bijection from A to B. Since the domain and range of the bijection is not relevant here, we often refer to a bijection from A to B as a bijection between the sets, or a one-to-one correspondence between the elements of the sets.",
"type": "quote"
}
],
"glosses": [
"A one-to-one correspondence, a function which is both a surjection and an injection."
],
"links": [
[
"set theory",
"set theory"
],
[
"one-to-one",
"one-to-one"
],
[
"correspondence",
"correspondence"
],
[
"surjection",
"surjection"
],
[
"injection",
"injection"
]
],
"raw_glosses": [
"(set theory) A one-to-one correspondence, a function which is both a surjection and an injection."
],
"topics": [
"mathematics",
"sciences",
"set-theory"
],
"wikipedia": [
"Nicolas Bourbaki",
"bijection",
"Éléments de mathématique"
]
}
],
"sounds": [
{
"ipa": "/baɪˈd͡ʒɛk.ʃən/"
}
],
"synonyms": [
{
"word": "bijective function"
},
{
"word": "one-to-one correspondence"
}
],
"translations": [
{
"code": "ca",
"lang": "Catalan",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "funció bijectiva"
},
{
"code": "ca",
"lang": "Catalan",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "bijecció"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "yīyīyìngshè",
"sense": "function that is both a surjection and an injection",
"word": "一一映射"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "function that is both a surjection and an injection",
"word": "雙射"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "shuāngshè",
"sense": "function that is both a surjection and an injection",
"word": "双射"
},
{
"code": "cs",
"lang": "Czech",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "bijekce"
},
{
"code": "nl",
"lang": "Dutch",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "bijectie"
},
{
"code": "eo",
"lang": "Esperanto",
"sense": "function that is both a surjection and an injection",
"word": "dissurĵeto"
},
{
"code": "eo",
"lang": "Esperanto",
"sense": "function that is both a surjection and an injection",
"word": "inversigebla funkcio"
},
{
"code": "eo",
"lang": "Esperanto",
"sense": "function that is both a surjection and an injection",
"word": "bijekcio"
},
{
"code": "et",
"lang": "Estonian",
"sense": "function that is both a surjection and an injection",
"word": "bijektsioon"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "function that is both a surjection and an injection",
"word": "bijektio"
},
{
"code": "fr",
"lang": "French",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "bijection"
},
{
"code": "de",
"lang": "German",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "Bijektion"
},
{
"code": "de",
"lang": "German",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "bijektive Funktion"
},
{
"code": "el",
"lang": "Greek",
"roman": "amfimonosímanti antistoichía",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "αμφιμονοσήμαντη αντιστοιχία"
},
{
"code": "he",
"lang": "Hebrew",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "פונקציה חד-חד-ערכית ועל"
},
{
"code": "hi",
"lang": "Hindi",
"roman": "ekaikī ācchādan",
"sense": "function that is both a surjection and an injection",
"word": "एकैकी आच्छादन"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "function that is both a surjection and an injection",
"word": "bijekció"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "function that is both a surjection and an injection",
"word": "kölcsönösen egyértelmű leképezés"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "gagntæk vörpun"
},
{
"code": "io",
"lang": "Ido",
"sense": "function that is both a surjection and an injection",
"word": "bijekto"
},
{
"alt": "ぜんたんしゃ",
"code": "ja",
"lang": "Japanese",
"roman": "zentansha",
"sense": "function that is both a surjection and an injection",
"word": "全単射"
},
{
"alt": "そうしゃ",
"code": "ja",
"lang": "Japanese",
"roman": "sōsha",
"sense": "function that is both a surjection and an injection",
"word": "双射"
},
{
"code": "ko",
"lang": "Korean",
"roman": "jeondansa",
"sense": "function that is both a surjection and an injection",
"word": "전단사"
},
{
"code": "pl",
"lang": "Polish",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "bijekcja"
},
{
"code": "pl",
"lang": "Polish",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "funkcja wzajemnie jednoznaczna"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "bijeção"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "bijecție"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "funcție bijectivă"
},
{
"code": "ru",
"lang": "Russian",
"roman": "bijékcija",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "бие́кция"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "bijekcija"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "бијекција"
},
{
"code": "es",
"lang": "Spanish",
"sense": "function that is both a surjection and an injection",
"tags": [
"feminine"
],
"word": "biyección"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "function that is both a surjection and an injection",
"tags": [
"common-gender"
],
"word": "bijektion"
}
],
"word": "bijection"
}
{
"etymology_templates": [
{
"args": {
"1": "fr",
"2": "la",
"3": "bi-"
},
"expansion": "Latin bi-",
"name": "der"
}
],
"etymology_text": "From Latin bi- + iaciō.",
"forms": [
{
"form": "bijections",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "f"
},
"expansion": "bijection f (plural bijections)",
"name": "fr-noun"
}
],
"lang": "French",
"lang_code": "fr",
"pos": "noun",
"senses": [
{
"categories": [
"French 3-syllable words",
"French countable nouns",
"French entries with incorrect language header",
"French feminine nouns",
"French lemmas",
"French nouns",
"French terms derived from Latin",
"French terms with IPA pronunciation",
"French terms with usage examples",
"Pages with 2 entries",
"Pages with entries",
"fr:Set theory"
],
"examples": [
{
"english": "I would like to show that this function is an inverse bijection.",
"text": "Je voudrais démontrer que cette fonction est une bijection réciproque.",
"type": "example"
}
],
"glosses": [
"bijection"
],
"links": [
[
"set theory",
"set theory"
],
[
"bijection",
"bijection#English"
]
],
"raw_glosses": [
"(set theory) bijection"
],
"tags": [
"feminine"
],
"topics": [
"mathematics",
"sciences",
"set-theory"
]
}
],
"sounds": [
{
"ipa": "/bi.ʒɛk.sjɔ̃/"
},
{
"audio": "Fr-Paris--bijection.ogg",
"mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/d/d6/Fr-Paris--bijection.ogg/Fr-Paris--bijection.ogg.mp3",
"ogg_url": "https://upload.wikimedia.org/wikipedia/commons/d/d6/Fr-Paris--bijection.ogg"
},
{
"audio": "Fr-bijection.ogg",
"mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/4/47/Fr-bijection.ogg/Fr-bijection.ogg.mp3",
"ogg_url": "https://upload.wikimedia.org/wikipedia/commons/4/47/Fr-bijection.ogg"
}
],
"word": "bijection"
}
Download raw JSONL data for bijection meaning in All languages combined (10.4kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 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.
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.