See morphism on Wiktionary
Download JSON data for morphism meaning in All languages combined (9.8kB)
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"text": "1982, Israel Program for Scientific Translations (translator), Lev J. Leifman (editor of translation), N. N. Čencov, Statistical Decision Rules and Optimal Inference, American Mathematical Society, Translations of Mathematical Monographs, Volume 53, page 50,\n1° The composition of two morphisms is defined if and only if the final object of the first morphism is the initial object of the second. This composition is also a morphism, whose initial object is the initial object of the first morphism and whose final object is the final object of the second."
},
{
"text": "1992, Terrance Brown (translator), Gil Henriques, Chapter 13: Morphisms and Transformations in the Construction of Invariants, Terrance Brown (translator), Jean Piaget, Gil Henriques, Edgar Ascher (editors), Morphisms and Categories: Comparing and Transforming, page 198,\nIn certain extreme cases in mathematics, the synthesis of morphisms and of transformations is so intimate that one can speak of a veritable fusion. […] Essentially, categories are sets of morphisms organized into operatory systems."
},
{
"ref": "2007 November, Steven Dale Cutkosky, “Toroidalization of Dominant Morphisms of 3-Folds”, in Memoirs of the, volume 190, number 890, American Mathematical Society, page 3",
"text": "The proof of toroidalization of morphisms of 3-folds to surfaces in [C3] breaks up into two parts: a reduction to prepared morphisms and then a proof of toroidalization of prepared morphisms from n-folds to [surfaces] in [CK].",
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"(formally) An arrow in a category; (less formally) an abstraction that generalises a map from one mathematical object to another and is structure-preserving in a way that depends on the branch of mathematics from which it arises."
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"translations": [
{
"_dis1": "100 0",
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"lang": "Bashkir",
"roman": "morfizm",
"sense": "arrow",
"word": "морфизм"
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"sense": "arrow",
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{
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{
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"code": "da",
"lang": "Danish",
"sense": "arrow",
"tags": [
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"word": "morfi"
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{
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"code": "nl",
"lang": "Dutch",
"sense": "arrow",
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"word": "morfisme"
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{
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"code": "fi",
"lang": "Finnish",
"sense": "arrow",
"word": "morfismi"
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{
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"code": "fr",
"lang": "French",
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"code": "de",
"lang": "German",
"sense": "arrow",
"tags": [
"masculine"
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{
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"code": "is",
"lang": "Icelandic",
"sense": "arrow",
"tags": [
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],
"word": "mótun"
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{
"_dis1": "100 0",
"code": "it",
"lang": "Italian",
"sense": "arrow",
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"word": "morfismo"
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{
"_dis1": "100 0",
"alt": "けいしゃ",
"code": "ja",
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"roman": "keisha",
"sense": "arrow",
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},
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"text": "Briefly, the yellow morphic males can change their status from paired to satellite and from satellite to the paired one. However, they cannot cross into the status of the red morph.[…] The colour morphism of males is proved to be irreversible after its expression at an early stage of ontogeny.",
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},
{
"text": "1992, Terrance Brown (translator), Gil Henriques, Chapter 13: Morphisms and Transformations in the Construction of Invariants, Terrance Brown (translator), Jean Piaget, Gil Henriques, Edgar Ascher (editors), Morphisms and Categories: Comparing and Transforming, page 198,\nIn certain extreme cases in mathematics, the synthesis of morphisms and of transformations is so intimate that one can speak of a veritable fusion. […] Essentially, categories are sets of morphisms organized into operatory systems."
},
{
"ref": "2007 November, Steven Dale Cutkosky, “Toroidalization of Dominant Morphisms of 3-Folds”, in Memoirs of the, volume 190, number 890, American Mathematical Society, page 3",
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"translations": [
{
"code": "ba",
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"word": "морфизм"
},
{
"code": "cmn",
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"sense": "arrow",
"word": "態射"
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{
"code": "cmn",
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"sense": "arrow",
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"masculine"
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{
"code": "fi",
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},
{
"code": "fr",
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"tags": [
"masculine"
],
"word": "morphisme"
},
{
"code": "de",
"lang": "German",
"sense": "arrow",
"tags": [
"masculine"
],
"word": "Morphismus"
},
{
"code": "is",
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"sense": "arrow",
"tags": [
"feminine"
],
"word": "mótun"
},
{
"code": "it",
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"sense": "arrow",
"tags": [
"masculine"
],
"word": "morfismo"
},
{
"alt": "けいしゃ",
"code": "ja",
"lang": "Japanese",
"roman": "keisha",
"sense": "arrow",
"word": "型射"
},
{
"alt": "しゃ",
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"lang": "Japanese",
"roman": "sha",
"sense": "arrow",
"word": "射"
},
{
"code": "kk",
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"roman": "morfizm",
"sense": "arrow",
"word": "морфизм"
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{
"alt": "寫像",
"code": "ko",
"lang": "Korean",
"roman": "sasang",
"sense": "arrow",
"word": "사상"
},
{
"code": "ky",
"lang": "Kyrgyz",
"roman": "morfizm",
"sense": "arrow",
"word": "морфизм"
},
{
"code": "la",
"lang": "Latin",
"sense": "arrow",
"tags": [
"masculine"
],
"word": "morphismus"
},
{
"code": "fa",
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"word": "ریخت"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "arrow",
"word": "morfismo"
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{
"code": "ru",
"lang": "Russian",
"roman": "morfizm",
"sense": "arrow",
"word": "морфизм"
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{
"code": "es",
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"sense": "arrow",
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"masculine"
],
"word": "morfismo"
},
{
"code": "uk",
"lang": "Ukrainian",
"roman": "morfizm",
"sense": "arrow",
"tags": [
"masculine"
],
"word": "морфізм"
},
{
"code": "cy",
"lang": "Welsh",
"sense": "arrow",
"tags": [
"masculine"
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"word": "morffedd"
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{
"code": "da",
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"word": "morfi"
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{
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"sense": "map",
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"word": "morfisme"
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{
"code": "fi",
"lang": "Finnish",
"sense": "map",
"word": "morfismi"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "map",
"word": "morfismo"
}
],
"wikipedia": [
"morphism"
],
"word": "morphism"
}
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-04-26 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.
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.