See surjective in All languages combined, or Wiktionary
Download JSON data for surjective meaning in English (4.4kB)
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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"
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{
"code": "fr",
"lang": "French",
"sense": "of, relating, or being a surjection",
"word": "surjectif"
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{
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"lang": "German",
"sense": "of, relating, or being a surjection",
"word": "surjektiv"
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{
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"lang": "Irish",
"sense": "of, relating, or being a surjection",
"word": "barrtheilgeach"
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"roman": "zenshano",
"sense": "of, relating, or being a surjection",
"word": "全射の"
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{
"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": [
"feminine",
"masculine",
"neuter"
],
"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"
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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.",
"type": "quotation"
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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": [
"masculine"
],
"word": "suriektywny"
},
{
"code": "pl",
"lang": "Polish",
"sense": "of, relating, or being a surjection",
"tags": [
"feminine",
"masculine",
"neuter"
],
"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"
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-04-26 from the enwiktionary dump dated 2024-04-21 using wiktextract (93a6c53 and 21a9316). 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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