See surjective on Wiktionary
Download JSON data for surjective meaning in All languages combined (5.0kB)
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"text": "1974, Thomas W. Hungerford, Algebra, Springer, page 5,\nA function f is surjective (or onto) provided f(A)=B; in other words,\nfor each b∈B,b=f(a) for some a∈A.\nA function f is said to be bijective (or a bijection or a one-to-one correspondence) if it is both injective and surjective."
},
{
"ref": "2010, Tullio Ceccherini-Silberstein, Michel Coornaert, Cellular Automata and Groups, Springer, page 133",
"text": "The Garden of Eden Theorem (Theorem 5.3.1) implies that every surjective cellular automaton with finite alphabet over an amenable group is necessarily pre-injective. In this section, we give an example of a surjective but not pre-injective cellular automaton with finite alphabet over the free group #x5C;textstyleF#x5F;2.",
"type": "quotation"
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{
"ref": "2011, Ethan D. Bloch, Proofs and Fundamentals: A First Course in Abstract Mathematics, 2nd edition, Springer, page 156",
"text": "This function is surjective and injective, and hence bijective.",
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{
"code": "ca",
"lang": "Catalan",
"sense": "of, relating, or being a surjection",
"word": "suprajectiu"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "mǎnshède",
"sense": "of, relating, or being a surjection",
"word": "满射的"
},
{
"code": "cs",
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"sense": "of, relating, or being a surjection",
"word": "surjektivní"
},
{
"code": "da",
"lang": "Danish",
"sense": "of, relating, or being a surjection",
"word": "surjektiv"
},
{
"code": "nl",
"lang": "Dutch",
"sense": "of, relating, or being a surjection",
"word": "surjectief"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "of, relating, or being a surjection",
"word": "surjektiivinen"
},
{
"code": "fr",
"lang": "French",
"sense": "of, relating, or being a surjection",
"word": "surjectif"
},
{
"code": "de",
"lang": "German",
"sense": "of, relating, or being a surjection",
"word": "surjektiv"
},
{
"code": "ga",
"lang": "Irish",
"sense": "of, relating, or being a surjection",
"word": "barrtheilgeach"
},
{
"alt": "ぜんしゃの",
"code": "ja",
"lang": "Japanese",
"roman": "zenshano",
"sense": "of, relating, or being a surjection",
"word": "全射の"
},
{
"code": "nb",
"lang": "Norwegian Bokmål",
"sense": "of, relating, or being a surjection",
"word": "surjektiv"
},
{
"code": "no",
"lang": "Norwegian Nynorsk",
"sense": "of, relating, or being a surjection",
"word": "surjektiv"
},
{
"code": "pl",
"lang": "Polish",
"sense": "of, relating, or being a surjection",
"tags": [
"masculine"
],
"word": "suriektywny"
},
{
"code": "pl",
"lang": "Polish",
"sense": "of, relating, or being a surjection",
"tags": [
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"word": "na"
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{
"code": "pt",
"lang": "Portuguese",
"sense": "of, relating, or being a surjection",
"word": "sobrejetivo"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "of, relating, or being a surjection",
"word": "surjectiv"
},
{
"code": "ru",
"lang": "Russian",
"roman": "sjurʺjektivnyj",
"sense": "of, relating, or being a surjection",
"word": "сюръективный"
},
{
"code": "es",
"lang": "Spanish",
"sense": "of, relating, or being a surjection",
"word": "sobreyectivo"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "of, relating, or being a surjection",
"word": "surjektiv"
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{
"text": "1974, Thomas W. Hungerford, Algebra, Springer, page 5,\nA function f is surjective (or onto) provided f(A)=B; in other words,\nfor each b∈B,b=f(a) for some a∈A.\nA function f is said to be bijective (or a bijection or a one-to-one correspondence) if it is both injective and surjective."
},
{
"ref": "2010, Tullio Ceccherini-Silberstein, Michel Coornaert, Cellular Automata and Groups, Springer, page 133",
"text": "The Garden of Eden Theorem (Theorem 5.3.1) implies that every surjective cellular automaton with finite alphabet over an amenable group is necessarily pre-injective. In this section, we give an example of a surjective but not pre-injective cellular automaton with finite alphabet over the free group #x5C;textstyleF#x5F;2.",
"type": "quotation"
},
{
"ref": "2011, Ethan D. Bloch, Proofs and Fundamentals: A First Course in Abstract Mathematics, 2nd edition, Springer, page 156",
"text": "This function is surjective and injective, and hence bijective.",
"type": "quotation"
}
],
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"of, relating to, or being a surjection"
],
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],
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"translations": [
{
"code": "ca",
"lang": "Catalan",
"sense": "of, relating, or being a surjection",
"word": "suprajectiu"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "mǎnshède",
"sense": "of, relating, or being a surjection",
"word": "满射的"
},
{
"code": "cs",
"lang": "Czech",
"sense": "of, relating, or being a surjection",
"word": "surjektivní"
},
{
"code": "da",
"lang": "Danish",
"sense": "of, relating, or being a surjection",
"word": "surjektiv"
},
{
"code": "nl",
"lang": "Dutch",
"sense": "of, relating, or being a surjection",
"word": "surjectief"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "of, relating, or being a surjection",
"word": "surjektiivinen"
},
{
"code": "fr",
"lang": "French",
"sense": "of, relating, or being a surjection",
"word": "surjectif"
},
{
"code": "de",
"lang": "German",
"sense": "of, relating, or being a surjection",
"word": "surjektiv"
},
{
"code": "ga",
"lang": "Irish",
"sense": "of, relating, or being a surjection",
"word": "barrtheilgeach"
},
{
"alt": "ぜんしゃの",
"code": "ja",
"lang": "Japanese",
"roman": "zenshano",
"sense": "of, relating, or being a surjection",
"word": "全射の"
},
{
"code": "nb",
"lang": "Norwegian Bokmål",
"sense": "of, relating, or being a surjection",
"word": "surjektiv"
},
{
"code": "no",
"lang": "Norwegian Nynorsk",
"sense": "of, relating, or being a surjection",
"word": "surjektiv"
},
{
"code": "pl",
"lang": "Polish",
"sense": "of, relating, or being a surjection",
"tags": [
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"word": "suriektywny"
},
{
"code": "pl",
"lang": "Polish",
"sense": "of, relating, or being a surjection",
"tags": [
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"masculine",
"neuter"
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"word": "na"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "of, relating, or being a surjection",
"word": "sobrejetivo"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "of, relating, or being a surjection",
"word": "surjectiv"
},
{
"code": "ru",
"lang": "Russian",
"roman": "sjurʺjektivnyj",
"sense": "of, relating, or being a surjection",
"word": "сюръективный"
},
{
"code": "es",
"lang": "Spanish",
"sense": "of, relating, or being a surjection",
"word": "sobreyectivo"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "of, relating, or being a surjection",
"word": "surjektiv"
}
],
"word": "surjective"
}
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"word": "surjective"
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-10 from the enwiktionary dump dated 2024-05-02 using wiktextract (a644e18 and edd475d). 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.