"surjection" meaning in All languages combined

See surjection on Wiktionary

Noun [English]

IPA: /sɜː(ɹ)ˈd͡ʒɛk.ʃən/ Audio: LL-Q1860 (eng)-Vealhurl-surjection.wav [Southern-England] Forms: surjections [plural]
Etymology: From French surjection, introduced by Nicolas Bourbaki in their treatise Éléments de mathématique. Ultimately borrowed from Latin superiectiō (“a throwing over or on; (fig.) an exaggeration, a hyperbole”). Etymology templates: {{der|en|fr|surjection}} French surjection, {{bor|en|la|superiaciō|superiectiō|a throwing over or on; (fig.) an exaggeration, a hyperbole}} Latin superiectiō (“a throwing over or on; (fig.) an exaggeration, a hyperbole”) Head templates: {{en-noun}} surjection (plural surjections)
  1. (set theory) A function for which every element of the codomain is mapped to by some element of the domain; (formally) Any function f:X→Y for which for every y∈Y, there is at least one x∈X such that f(x)=y. Wikipedia link: Nicolas Bourbaki, Surjective function, Éléments de mathématique Categories (topical): Functions, Set theory Synonyms: surjective function, onto function Related terms: bijection, injection, surject Translations (function that is a many-to-one mapping): funció exhaustiva [feminine] (Catalan), 满射 (mǎnshè) (Chinese Mandarin), surjekce [feminine] (Czech), sürjektsioon (Estonian), surjection [feminine] (Estonian), surjektio (Finnish), surjection [feminine] (French), Surjektion [feminine] (German), surjektive Funktion [feminine] (German), επίρριψη (epírripsi) [feminine] (Greek), surjekto (Ido), suriezione [feminine] (Italian), 全射 (zensha) (Japanese), 전사 (jeonsa) (alt: 全射) (Korean), suriekcja [feminine] (Polish), sobrejeção [feminine] (Portuguese), surjecție [feminine] (Romanian), funcție surjectivă [feminine] (Romanian), сюръе́кция (sjurʺjékcija) [feminine] (Russian), surjekcija [feminine] (Serbo-Croatian), función sobreyectiva [feminine] (Spanish), surjektion [common-gender] (Swedish)

Noun [French]

IPA: /syʁ.ʒɛk.sjɔ̃/ Audio: LL-Q150 (fra)-WikiLucas00-surjection.wav Forms: surjections [plural]
Etymology: Borrowing from Latin superiectiōnem (“a throwing over or on; (figuratively) an exaggeration, a hyperbole”). Compare injection, bijection, with the same second element but different prefixes. Etymology templates: {{q|figuratively}} (figuratively), {{bor|fr|la|superiectiō|superiectiōnem|a throwing over or on; (figuratively) an exaggeration, a hyperbole}} Latin superiectiōnem (“a throwing over or on; (figuratively) an exaggeration, a hyperbole”) Head templates: {{fr-noun|f}} surjection f (plural surjections)
  1. (set theory) surjection Tags: feminine Categories (topical): Set theory Derived forms: surjectif
    Sense id: en-surjection-fr-noun-kHa7hLi8 Categories (other): French entries with incorrect language header Topics: mathematics, sciences, set-theory

Inflected forms

Download JSON data for surjection meaning in All languages combined (9.6kB)

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          "code": "ca",
          "lang": "Catalan",
          "sense": "function that is a many-to-one mapping",
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          "word": "funció exhaustiva"
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          "sense": "function that is a many-to-one mapping",
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          "lang": "Greek",
          "roman": "epírripsi",
          "sense": "function that is a many-to-one mapping",
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          "code": "io",
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          "sense": "function that is a many-to-one mapping",
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          "code": "it",
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          "code": "pt",
          "lang": "Portuguese",
          "sense": "function that is a many-to-one mapping",
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          "code": "ro",
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          "sense": "function that is a many-to-one mapping",
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          "code": "ro",
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    {
      "code": "et",
      "lang": "Estonian",
      "sense": "function that is a many-to-one mapping",
      "word": "sürjektsioon"
    },
    {
      "code": "et",
      "lang": "Estonian",
      "sense": "function that is a many-to-one mapping",
      "tags": [
        "feminine"
      ],
      "word": "surjection"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "function that is a many-to-one mapping",
      "word": "surjektio"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "function that is a many-to-one mapping",
      "tags": [
        "feminine"
      ],
      "word": "surjection"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "function that is a many-to-one mapping",
      "tags": [
        "feminine"
      ],
      "word": "Surjektion"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "function that is a many-to-one mapping",
      "tags": [
        "feminine"
      ],
      "word": "surjektive Funktion"
    },
    {
      "code": "el",
      "lang": "Greek",
      "roman": "epírripsi",
      "sense": "function that is a many-to-one mapping",
      "tags": [
        "feminine"
      ],
      "word": "επίρριψη"
    },
    {
      "code": "io",
      "lang": "Ido",
      "sense": "function that is a many-to-one mapping",
      "word": "surjekto"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "function that is a many-to-one mapping",
      "tags": [
        "feminine"
      ],
      "word": "suriezione"
    },
    {
      "code": "ja",
      "lang": "Japanese",
      "roman": "zensha",
      "sense": "function that is a many-to-one mapping",
      "word": "全射"
    },
    {
      "alt": "全射",
      "code": "ko",
      "lang": "Korean",
      "roman": "jeonsa",
      "sense": "function that is a many-to-one mapping",
      "word": "전사"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "function that is a many-to-one mapping",
      "tags": [
        "feminine"
      ],
      "word": "suriekcja"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "function that is a many-to-one mapping",
      "tags": [
        "feminine"
      ],
      "word": "sobrejeção"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "function that is a many-to-one mapping",
      "tags": [
        "feminine"
      ],
      "word": "surjecție"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "function that is a many-to-one mapping",
      "tags": [
        "feminine"
      ],
      "word": "funcție surjectivă"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "sjurʺjékcija",
      "sense": "function that is a many-to-one mapping",
      "tags": [
        "feminine"
      ],
      "word": "сюръе́кция"
    },
    {
      "code": "sh",
      "lang": "Serbo-Croatian",
      "sense": "function that is a many-to-one mapping",
      "tags": [
        "feminine"
      ],
      "word": "surjekcija"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "function that is a many-to-one mapping",
      "tags": [
        "feminine"
      ],
      "word": "función sobreyectiva"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "function that is a many-to-one mapping",
      "tags": [
        "common-gender"
      ],
      "word": "surjektion"
    }
  ],
  "word": "surjection"
}

{
  "derived": [
    {
      "word": "surjectif"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "figuratively"
      },
      "expansion": "(figuratively)",
      "name": "q"
    },
    {
      "args": {
        "1": "fr",
        "2": "la",
        "3": "superiectiō",
        "4": "superiectiōnem",
        "5": "a throwing over or on; (figuratively) an exaggeration, a hyperbole"
      },
      "expansion": "Latin superiectiōnem (“a throwing over or on; (figuratively) an exaggeration, a hyperbole”)",
      "name": "bor"
    }
  ],
  "etymology_text": "Borrowing from Latin superiectiōnem (“a throwing over or on; (figuratively) an exaggeration, a hyperbole”). Compare injection, bijection, with the same second element but different prefixes.",
  "forms": [
    {
      "form": "surjections",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "f"
      },
      "expansion": "surjection f (plural surjections)",
      "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 borrowed from Latin",
        "French terms derived from Latin",
        "French terms with IPA pronunciation",
        "French terms with audio links",
        "fr:Set theory"
      ],
      "glosses": [
        "surjection"
      ],
      "links": [
        [
          "set theory",
          "set theory"
        ],
        [
          "surjection",
          "surjection#English"
        ]
      ],
      "raw_glosses": [
        "(set theory) surjection"
      ],
      "tags": [
        "feminine"
      ],
      "topics": [
        "mathematics",
        "sciences",
        "set-theory"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/syʁ.ʒɛk.sjɔ̃/"
    },
    {
      "audio": "LL-Q150 (fra)-WikiLucas00-surjection.wav",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/5/5b/LL-Q150_%28fra%29-WikiLucas00-surjection.wav/LL-Q150_%28fra%29-WikiLucas00-surjection.wav.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/5/5b/LL-Q150_%28fra%29-WikiLucas00-surjection.wav/LL-Q150_%28fra%29-WikiLucas00-surjection.wav.ogg",
      "text": "Audio"
    }
  ],
  "word": "surjection"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-06-04 from the enwiktionary dump dated 2024-05-02 using wiktextract (e9e0a99 and db5a844). 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.