"surjection" meaning in All languages combined

See surjection on Wiktionary

Noun [English]

IPA: /sɜː(ɹ)ˈd͡ʒɛk.ʃən/ Audio: LL-Q1860 (eng)-Vealhurl-surjection.wav 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, Pages with 2 entries, Pages with entries Topics: mathematics, sciences, set-theory

Inflected forms

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "fr",
        "3": "surjection"
      },
      "expansion": "French surjection",
      "name": "der"
    },
    {
      "args": {
        "1": "en",
        "2": "la",
        "3": "superiaciō",
        "4": "superiectiō",
        "5": "a throwing over or on; (fig.) an exaggeration, a hyperbole"
      },
      "expansion": "Latin superiectiō (“a throwing over or on; (fig.) an exaggeration, a hyperbole”)",
      "name": "bor"
    }
  ],
  "etymology_text": "From French surjection, introduced by Nicolas Bourbaki in their treatise Éléments de mathématique.\nUltimately borrowed from Latin superiectiō (“a throwing over or on; (fig.) an exaggeration, a hyperbole”).",
  "forms": [
    {
      "form": "surjections",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "surjection (plural surjections)",
      "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": "Japanese 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 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 Ido translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Italian 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": "1992, Rowan Garnier, John Taylor, Discrete Mathematics for New Technology, Institute of Physics Publishing, page 220:",
          "text": "In some special cases, however, the number of surjections A#x5C;rightarrowB can be identified.",
          "type": "quote"
        },
        {
          "ref": "1999, M. Pavaman Murthy, “A survey of obstruction theory for projective modules of top rank”, in Tsit-Yuen Lam, Andy R. Magid, editors, Algebra, K-theory, Groups, and Education: On the Occasion of Hyman Bass's 65th Birthday, American Mathematical Society, page 168:",
          "text": "Let J#x3D;#x5C;cap#x5F;im#x5F;i be the (irredundant) primary decomposition of J. We associate to the pair (J,#x5C;omega) the element #x5C;textstyle#x5C;sum#x5F;i(m#x5F;i,#x5C;omega#x5F;i)#x5C;inG, where #x5C;omega#x5F;i is the equivalence class of surjections from L#x2F;m#x5F;iL#x5C;oplus(A#x2F;m#x5F;i)#x7B;n-1#x7D; to m#x5F;i#x2F;m#x5F;i² induced by #x5C;omega.",
          "type": "quote"
        },
        {
          "ref": "2003, Gilles Pisier, Introduction to Operator Space Theory, Cambridge University Press, page 43:",
          "text": "In Banach space theory, a mapping u#x3A;E#x5C;rightarrowF (between Banach spaces) is called a metric surjection if it is onto and if the associated mapping from E#x2F;#x5C;text#x7B;ker#x7D;(u) to F is an isometric isomorphism. Moreover, by the classical open mapping theorem, u is a surjection iff the associated mapping from E#x2F;#x5C;text#x7B;ker#x7D;(u) to F is an isomorphism.",
          "type": "quote"
        }
      ],
      "glosses": [
        "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."
      ],
      "id": "en-surjection-en-noun--MQY-ReP",
      "links": [
        [
          "set theory",
          "set theory"
        ],
        [
          "function",
          "function"
        ],
        [
          "codomain",
          "codomain"
        ],
        [
          "domain",
          "domain"
        ]
      ],
      "raw_glosses": [
        "(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."
      ],
      "related": [
        {
          "word": "bijection"
        },
        {
          "word": "injection"
        },
        {
          "word": "surject"
        }
      ],
      "synonyms": [
        {
          "word": "surjective function"
        },
        {
          "word": "onto function"
        }
      ],
      "topics": [
        "mathematics",
        "sciences",
        "set-theory"
      ],
      "translations": [
        {
          "code": "ca",
          "lang": "Catalan",
          "sense": "function that is a many-to-one mapping",
          "tags": [
            "feminine"
          ],
          "word": "funció exhaustiva"
        },
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "mǎnshè",
          "sense": "function that is a many-to-one mapping",
          "word": "满射"
        },
        {
          "code": "cs",
          "lang": "Czech",
          "sense": "function that is a many-to-one mapping",
          "tags": [
            "feminine"
          ],
          "word": "surjekce"
        },
        {
          "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"
        }
      ],
      "wikipedia": [
        "Nicolas Bourbaki",
        "Surjective function",
        "Éléments de mathématique"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/sɜː(ɹ)ˈd͡ʒɛk.ʃən/"
    },
    {
      "audio": "LL-Q1860 (eng)-Vealhurl-surjection.wav",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/2/23/LL-Q1860_%28eng%29-Vealhurl-surjection.wav/LL-Q1860_%28eng%29-Vealhurl-surjection.wav.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/2/23/LL-Q1860_%28eng%29-Vealhurl-surjection.wav/LL-Q1860_%28eng%29-Vealhurl-surjection.wav.ogg"
    }
  ],
  "word": "surjection"
}

{
  "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": [
        {
          "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"
        }
      ],
      "derived": [
        {
          "word": "surjectif"
        }
      ],
      "glosses": [
        "surjection"
      ],
      "id": "en-surjection-fr-noun-kHa7hLi8",
      "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"
    }
  ],
  "word": "surjection"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "fr",
        "3": "surjection"
      },
      "expansion": "French surjection",
      "name": "der"
    },
    {
      "args": {
        "1": "en",
        "2": "la",
        "3": "superiaciō",
        "4": "superiectiō",
        "5": "a throwing over or on; (fig.) an exaggeration, a hyperbole"
      },
      "expansion": "Latin superiectiō (“a throwing over or on; (fig.) an exaggeration, a hyperbole”)",
      "name": "bor"
    }
  ],
  "etymology_text": "From French surjection, introduced by Nicolas Bourbaki in their treatise Éléments de mathématique.\nUltimately borrowed from Latin superiectiō (“a throwing over or on; (fig.) an exaggeration, a hyperbole”).",
  "forms": [
    {
      "form": "surjections",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "surjection (plural surjections)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "bijection"
    },
    {
      "word": "injection"
    },
    {
      "word": "surject"
    }
  ],
  "senses": [
    {
      "categories": [
        "English coinages",
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms borrowed from Latin",
        "English terms derived from French",
        "English terms derived from Latin",
        "English terms with quotations",
        "Entries with translation boxes",
        "Japanese 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 Estonian translations",
        "Terms with Finnish translations",
        "Terms with French translations",
        "Terms with German translations",
        "Terms with Greek translations",
        "Terms with Ido translations",
        "Terms with Italian 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": "1992, Rowan Garnier, John Taylor, Discrete Mathematics for New Technology, Institute of Physics Publishing, page 220:",
          "text": "In some special cases, however, the number of surjections A#x5C;rightarrowB can be identified.",
          "type": "quote"
        },
        {
          "ref": "1999, M. Pavaman Murthy, “A survey of obstruction theory for projective modules of top rank”, in Tsit-Yuen Lam, Andy R. Magid, editors, Algebra, K-theory, Groups, and Education: On the Occasion of Hyman Bass's 65th Birthday, American Mathematical Society, page 168:",
          "text": "Let J#x3D;#x5C;cap#x5F;im#x5F;i be the (irredundant) primary decomposition of J. We associate to the pair (J,#x5C;omega) the element #x5C;textstyle#x5C;sum#x5F;i(m#x5F;i,#x5C;omega#x5F;i)#x5C;inG, where #x5C;omega#x5F;i is the equivalence class of surjections from L#x2F;m#x5F;iL#x5C;oplus(A#x2F;m#x5F;i)#x7B;n-1#x7D; to m#x5F;i#x2F;m#x5F;i² induced by #x5C;omega.",
          "type": "quote"
        },
        {
          "ref": "2003, Gilles Pisier, Introduction to Operator Space Theory, Cambridge University Press, page 43:",
          "text": "In Banach space theory, a mapping u#x3A;E#x5C;rightarrowF (between Banach spaces) is called a metric surjection if it is onto and if the associated mapping from E#x2F;#x5C;text#x7B;ker#x7D;(u) to F is an isometric isomorphism. Moreover, by the classical open mapping theorem, u is a surjection iff the associated mapping from E#x2F;#x5C;text#x7B;ker#x7D;(u) to F is an isomorphism.",
          "type": "quote"
        }
      ],
      "glosses": [
        "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."
      ],
      "links": [
        [
          "set theory",
          "set theory"
        ],
        [
          "function",
          "function"
        ],
        [
          "codomain",
          "codomain"
        ],
        [
          "domain",
          "domain"
        ]
      ],
      "raw_glosses": [
        "(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."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "set-theory"
      ],
      "wikipedia": [
        "Nicolas Bourbaki",
        "Surjective function",
        "Éléments de mathématique"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/sɜː(ɹ)ˈd͡ʒɛk.ʃən/"
    },
    {
      "audio": "LL-Q1860 (eng)-Vealhurl-surjection.wav",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/2/23/LL-Q1860_%28eng%29-Vealhurl-surjection.wav/LL-Q1860_%28eng%29-Vealhurl-surjection.wav.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/2/23/LL-Q1860_%28eng%29-Vealhurl-surjection.wav/LL-Q1860_%28eng%29-Vealhurl-surjection.wav.ogg"
    }
  ],
  "synonyms": [
    {
      "word": "surjective function"
    },
    {
      "word": "onto function"
    }
  ],
  "translations": [
    {
      "code": "ca",
      "lang": "Catalan",
      "sense": "function that is a many-to-one mapping",
      "tags": [
        "feminine"
      ],
      "word": "funció exhaustiva"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "mǎnshè",
      "sense": "function that is a many-to-one mapping",
      "word": "满射"
    },
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "function that is a many-to-one mapping",
      "tags": [
        "feminine"
      ],
      "word": "surjekce"
    },
    {
      "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",
        "Pages with 2 entries",
        "Pages with entries",
        "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"
    }
  ],
  "word": "surjection"
}

Download raw JSONL data for surjection meaning in All languages combined (9.4kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 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.

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.