See isomorphism on Wiktionary
Download JSON data for isomorphism meaning in All languages combined (14.6kB)
{
"antonyms": [
{
"word": "anisomorphism"
}
],
"derived": [
{
"_dis1": "0 0 0 0 0 0 0",
"word": "Curry-Howard isomorphism"
},
{
"_dis1": "0 0 0 0 0 0 0",
"word": "natural isomorphism"
},
{
"_dis1": "0 0 0 0 0 0 0",
"word": "ring isomorphism"
}
],
"etymology_templates": [
{
"args": {
"1": "en",
"2": "iso",
"3": "morphism"
},
"expansion": "iso- + -morphism",
"name": "confix"
}
],
"etymology_text": "iso- + -morphism",
"forms": [
{
"form": "isomorphisms",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "~"
},
"expansion": "isomorphism (countable and uncountable, plural isomorphisms)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"related": [
{
"_dis1": "0 0 0 0 0 0 0",
"word": "isomorphic"
},
{
"_dis1": "0 0 0 0 0 0 0",
"word": "isomorphous"
},
{
"_dis1": "0 0 0 0 0 0 0",
"urls": [
"https://www.encyclopediaofmath.org/index.php/Isomorphism"
],
"word": "Isomorphism on Encyclopedia of Mathematics"
},
{
"_dis1": "0 0 0 0 0 0 0",
"urls": [
"https://ncatlab.org/nlab/show/isomorphism"
],
"word": "isomorphism on nLab"
},
{
"_dis1": "0 0 0 0 0 0 0",
"urls": [
"http://mathworld.wolfram.com/Isomorphism.html"
],
"word": "Isomorphism on Wolfram MathWorld"
},
{
"_dis1": "0 0 0 0 0 0 0",
"urls": [
"http://mathworld.wolfram.com/GraphIsomorphism.html"
],
"word": "Graph Isomorphism on Wolfram MathWorld"
},
{
"_dis1": "0 0 0 0 0 0 0",
"urls": [
"http://mathworld.wolfram.com/NaturalIsomorphism.html"
],
"word": "Natural Isomorphism on Wolfram MathWorld"
}
],
"senses": [
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Biology",
"orig": "en:Biology",
"parents": [
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "18 20 8 1 8 25 21",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "20 15 10 1 12 20 22",
"kind": "other",
"name": "English entries with topic categories using raw markup",
"parents": [
"Entries with topic categories using raw markup",
"Entry maintenance"
],
"source": "w+disamb"
}
],
"glosses": [
"Similarity of form",
"the similarity in form of organisms, which may be due to convergent evolution or shared genetic background, e.g. an algae species in which the haploid and diploid life stages are indistinguishable based on morphology."
],
"id": "en-isomorphism-en-noun-pZy0TH2A",
"links": [
[
"biology",
"biology"
],
[
"similarity",
"similarity"
],
[
"form",
"form"
],
[
"organism",
"organism"
],
[
"convergent evolution",
"convergent evolution"
],
[
"haploid",
"haploid"
],
[
"diploid",
"diploid"
]
],
"raw_glosses": [
"Similarity of form",
"(biology) the similarity in form of organisms, which may be due to convergent evolution or shared genetic background, e.g. an algae species in which the haploid and diploid life stages are indistinguishable based on morphology."
],
"tags": [
"countable",
"uncountable"
],
"topics": [
"biology",
"natural-sciences"
],
"translations": [
{
"_dis1": "50 13 14 8 2 6 6",
"code": "bg",
"lang": "Bulgarian",
"roman": "izomorfízǎm",
"sense": "the similarity in form of organisms of different ancestry",
"tags": [
"masculine"
],
"word": "изоморфи́зъм"
},
{
"_dis1": "50 13 14 8 2 6 6",
"code": "cs",
"lang": "Czech",
"sense": "the similarity in form of organisms of different ancestry",
"tags": [
"masculine"
],
"word": "izomorfismus"
},
{
"_dis1": "50 13 14 8 2 6 6",
"code": "fi",
"lang": "Finnish",
"sense": "the similarity in form of organisms of different ancestry",
"word": "isomorfismi"
},
{
"_dis1": "50 13 14 8 2 6 6",
"code": "fr",
"lang": "French",
"sense": "the similarity in form of organisms of different ancestry",
"tags": [
"masculine"
],
"word": "isomorphisme"
},
{
"_dis1": "50 13 14 8 2 6 6",
"code": "hu",
"lang": "Hungarian",
"sense": "the similarity in form of organisms of different ancestry",
"word": "izomorfizmus"
},
{
"_dis1": "50 13 14 8 2 6 6",
"code": "it",
"lang": "Italian",
"sense": "the similarity in form of organisms of different ancestry",
"tags": [
"masculine"
],
"word": "isomorfismo"
},
{
"_dis1": "50 13 14 8 2 6 6",
"code": "pt",
"lang": "Portuguese",
"sense": "the similarity in form of organisms of different ancestry",
"tags": [
"masculine"
],
"word": "isomorfismo"
},
{
"_dis1": "50 13 14 8 2 6 6",
"code": "ru",
"lang": "Russian",
"roman": "izomorfízm",
"sense": "the similarity in form of organisms of different ancestry",
"tags": [
"masculine"
],
"word": "изоморфи́зм"
},
{
"_dis1": "50 13 14 8 2 6 6",
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "the similarity in form of organisms of different ancestry",
"tags": [
"masculine"
],
"word": "izomorfizam"
},
{
"_dis1": "50 13 14 8 2 6 6",
"code": "es",
"lang": "Spanish",
"sense": "the similarity in form of organisms of different ancestry",
"tags": [
"masculine"
],
"word": "isomorfismo"
},
{
"_dis1": "50 13 14 8 2 6 6",
"code": "tl",
"lang": "Tagalog",
"sense": "the similarity in form of organisms of different ancestry",
"word": "kasanyuan"
},
{
"_dis1": "50 13 14 8 2 6 6",
"code": "uk",
"lang": "Ukrainian",
"roman": "izomorfízm",
"sense": "the similarity in form of organisms of different ancestry",
"tags": [
"masculine"
],
"word": "ізоморфі́зм"
}
]
},
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Chemistry",
"orig": "en:Chemistry",
"parents": [
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "18 20 8 1 8 25 21",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "20 15 10 1 12 20 22",
"kind": "other",
"name": "English entries with topic categories using raw markup",
"parents": [
"Entries with topic categories using raw markup",
"Entry maintenance"
],
"source": "w+disamb"
}
],
"examples": [
{
"ref": "1874, C. Rammelsberg, “Crystallographic and chemical relations of the natural sulphides, arsenides, and sulpharsenides”, in The Chemical News and Journal of Physical Science, page 197",
"text": "The isomorphism of compounds does not prove the isomorphism of their respective constituents.",
"type": "quotation"
}
],
"glosses": [
"Similarity of form",
"the similarity in the crystal structures of similar chemical compounds."
],
"id": "en-isomorphism-en-noun-IEVfgf8v",
"links": [
[
"chemistry",
"chemistry"
],
[
"crystal",
"crystal"
],
[
"chemical",
"chemical"
],
[
"compound",
"compound"
]
],
"raw_glosses": [
"Similarity of form",
"(chemistry) the similarity in the crystal structures of similar chemical compounds."
],
"tags": [
"countable",
"uncountable"
],
"topics": [
"chemistry",
"natural-sciences",
"physical-sciences"
]
},
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Sociology",
"orig": "en:Sociology",
"parents": [
"Social sciences",
"Sciences",
"Society",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "20 15 10 1 12 20 22",
"kind": "other",
"name": "English entries with topic categories using raw markup",
"parents": [
"Entries with topic categories using raw markup",
"Entry maintenance"
],
"source": "w+disamb"
}
],
"glosses": [
"Similarity of form",
"the similarity in the structure or processes of different organizations."
],
"id": "en-isomorphism-en-noun--2pUq-TZ",
"links": [
[
"sociology",
"sociology"
],
[
"processes",
"processes"
],
[
"organization",
"organization"
]
],
"raw_glosses": [
"Similarity of form",
"(sociology) the similarity in the structure or processes of different organizations."
],
"tags": [
"countable",
"uncountable"
],
"topics": [
"human-sciences",
"sciences",
"social-science",
"sociology"
]
},
{
"categories": [],
"examples": [
{
"ref": "1984, Brigitte Asbach-Schnitker, “Introduction”, in Mercury or The Secret and Swift Messenger",
"text": "The postulated isomorphism between words and things constitutes the characterizing feature of all philosophically based universal languages.",
"type": "quotation"
}
],
"glosses": [
"Similarity of form"
],
"id": "en-isomorphism-en-noun-NEkmqHBQ",
"tags": [
"countable",
"uncountable"
]
},
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Functions",
"orig": "en:Functions",
"parents": [
"Algebra",
"Calculus",
"Geometry",
"Mathematical analysis",
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "20 15 10 1 12 20 22",
"kind": "other",
"name": "English entries with topic categories using raw markup",
"parents": [
"Entries with topic categories using raw markup",
"Entry maintenance"
],
"source": "w+disamb"
}
],
"glosses": [
"A one-to-one correspondence",
"A bijection f such that both f and its inverse f⁻¹ are homomorphisms, that is, structure-preserving mappings."
],
"id": "en-isomorphism-en-noun-qVdoE9Sf",
"links": [
[
"bijection",
"bijection"
],
[
"inverse",
"inverse function"
],
[
"homomorphism",
"homomorphism"
]
],
"qualifier": "group algebra",
"raw_glosses": [
"A one-to-one correspondence",
"(group algebra) A bijection f such that both f and its inverse f⁻¹ are homomorphisms, that is, structure-preserving mappings."
],
"tags": [
"countable",
"uncountable"
],
"translations": [
{
"_dis1": "11 11 17 2 24 16 18",
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "bidirectionally structure-preserving bijection",
"word": "同構"
},
{
"_dis1": "11 11 17 2 24 16 18",
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "tónggòu",
"sense": "bidirectionally structure-preserving bijection",
"word": "同构"
},
{
"_dis1": "11 11 17 2 24 16 18",
"code": "cs",
"lang": "Czech",
"sense": "bidirectionally structure-preserving bijection",
"tags": [
"masculine"
],
"word": "izomorfismus"
},
{
"_dis1": "11 11 17 2 24 16 18",
"code": "da",
"lang": "Danish",
"sense": "bidirectionally structure-preserving bijection",
"tags": [
"common-gender"
],
"word": "isomorfi"
},
{
"_dis1": "11 11 17 2 24 16 18",
"code": "nl",
"lang": "Dutch",
"sense": "bidirectionally structure-preserving bijection",
"tags": [
"neuter"
],
"word": "isomorfisme"
},
{
"_dis1": "11 11 17 2 24 16 18",
"code": "eo",
"lang": "Esperanto",
"sense": "bidirectionally structure-preserving bijection",
"word": "izomorfio"
},
{
"_dis1": "11 11 17 2 24 16 18",
"code": "fi",
"lang": "Finnish",
"sense": "bidirectionally structure-preserving bijection",
"word": "isomorfismi"
},
{
"_dis1": "11 11 17 2 24 16 18",
"code": "de",
"lang": "German",
"sense": "bidirectionally structure-preserving bijection",
"tags": [
"masculine"
],
"word": "Isomorphismus"
},
{
"_dis1": "11 11 17 2 24 16 18",
"code": "hu",
"lang": "Hungarian",
"sense": "bidirectionally structure-preserving bijection",
"word": "izomorfia"
},
{
"_dis1": "11 11 17 2 24 16 18",
"code": "is",
"lang": "Icelandic",
"sense": "bidirectionally structure-preserving bijection",
"tags": [
"feminine"
],
"word": "einsmótun"
},
{
"_dis1": "11 11 17 2 24 16 18",
"code": "kk",
"lang": "Kazakh",
"roman": "izomorfizm",
"sense": "bidirectionally structure-preserving bijection",
"word": "изоморфизм"
},
{
"_dis1": "11 11 17 2 24 16 18",
"code": "pt",
"lang": "Portuguese",
"sense": "bidirectionally structure-preserving bijection",
"tags": [
"masculine"
],
"word": "isomorfismo"
},
{
"_dis1": "11 11 17 2 24 16 18",
"code": "ru",
"lang": "Russian",
"roman": "izomorfizm",
"sense": "bidirectionally structure-preserving bijection",
"tags": [
"masculine"
],
"word": "изоморфизм"
},
{
"_dis1": "11 11 17 2 24 16 18",
"code": "es",
"lang": "Spanish",
"sense": "bidirectionally structure-preserving bijection",
"tags": [
"masculine"
],
"word": "isomorfismo"
}
]
},
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Computer science",
"orig": "en:Computer science",
"parents": [
"Computing",
"Sciences",
"Technology",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "18 20 8 1 8 25 21",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "20 15 10 1 12 20 22",
"kind": "other",
"name": "English entries with topic categories using raw markup",
"parents": [
"Entries with topic categories using raw markup",
"Entry maintenance"
],
"source": "w+disamb"
}
],
"glosses": [
"A one-to-one correspondence",
"a one-to-one correspondence between all the elements of two sets, e.g. the instances of two classes, or the records in two datasets."
],
"id": "en-isomorphism-en-noun-Itm3BsCx",
"links": [
[
"computer science",
"computer science"
],
[
"one-to-one",
"one-to-one"
],
[
"correspondence",
"correspondence"
],
[
"element",
"element"
],
[
"set",
"set"
],
[
"instance",
"instance"
],
[
"class",
"class"
],
[
"record",
"record"
],
[
"dataset",
"dataset"
]
],
"raw_glosses": [
"A one-to-one correspondence",
"(computer science) a one-to-one correspondence between all the elements of two sets, e.g. the instances of two classes, or the records in two datasets."
],
"tags": [
"countable",
"uncountable"
],
"topics": [
"computer",
"computing",
"engineering",
"mathematics",
"natural-sciences",
"physical-sciences",
"science",
"sciences"
]
},
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Category theory",
"orig": "en:Category theory",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "18 20 8 1 8 25 21",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "20 15 10 1 12 20 22",
"kind": "other",
"name": "English entries with topic categories using raw markup",
"parents": [
"Entries with topic categories using raw markup",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "14 11 9 4 8 14 40",
"kind": "other",
"name": "English terms prefixed with iso-",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "16 11 8 2 10 15 38",
"kind": "other",
"name": "English terms suffixed with -morphism",
"parents": [],
"source": "w+disamb"
}
],
"glosses": [
"A one-to-one correspondence",
"A morphism which has a two-sided inverse; the composition of the morphism and such an inverse yields either one of two identity morphisms (depending on the order of composition)."
],
"id": "en-isomorphism-en-noun-dXAthNj6",
"links": [
[
"category theory",
"category theory"
],
[
"morphism",
"morphism"
]
],
"raw_glosses": [
"A one-to-one correspondence",
"(category theory) A morphism which has a two-sided inverse; the composition of the morphism and such an inverse yields either one of two identity morphisms (depending on the order of composition)."
],
"synonyms": [
{
"_dis1": "13 15 11 2 12 18 28",
"sense": "in category theory",
"word": "iso"
}
],
"tags": [
"countable",
"uncountable"
],
"topics": [
"category-theory",
"computing",
"engineering",
"mathematics",
"natural-sciences",
"physical-sciences",
"sciences"
]
}
],
"sounds": [
{
"audio": "en-us-isomorphism.ogg",
"mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/a/ae/En-us-isomorphism.ogg/En-us-isomorphism.ogg.mp3",
"ogg_url": "https://upload.wikimedia.org/wikipedia/commons/a/ae/En-us-isomorphism.ogg",
"tags": [
"US"
],
"text": "Audio (US)"
}
],
"word": "isomorphism"
}
{
"antonyms": [
{
"word": "anisomorphism"
}
],
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English entries with topic categories using raw markup",
"English lemmas",
"English nouns",
"English terms prefixed with iso-",
"English terms suffixed with -morphism",
"English terms with audio links",
"English uncountable nouns"
],
"derived": [
{
"word": "Curry-Howard isomorphism"
},
{
"word": "natural isomorphism"
},
{
"word": "ring isomorphism"
}
],
"etymology_templates": [
{
"args": {
"1": "en",
"2": "iso",
"3": "morphism"
},
"expansion": "iso- + -morphism",
"name": "confix"
}
],
"etymology_text": "iso- + -morphism",
"forms": [
{
"form": "isomorphisms",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "~"
},
"expansion": "isomorphism (countable and uncountable, plural isomorphisms)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"related": [
{
"word": "isomorphic"
},
{
"word": "isomorphous"
},
{
"urls": [
"https://www.encyclopediaofmath.org/index.php/Isomorphism"
],
"word": "Isomorphism on Encyclopedia of Mathematics"
},
{
"urls": [
"https://ncatlab.org/nlab/show/isomorphism"
],
"word": "isomorphism on nLab"
},
{
"urls": [
"http://mathworld.wolfram.com/Isomorphism.html"
],
"word": "Isomorphism on Wolfram MathWorld"
},
{
"urls": [
"http://mathworld.wolfram.com/GraphIsomorphism.html"
],
"word": "Graph Isomorphism on Wolfram MathWorld"
},
{
"urls": [
"http://mathworld.wolfram.com/NaturalIsomorphism.html"
],
"word": "Natural Isomorphism on Wolfram MathWorld"
}
],
"senses": [
{
"categories": [
"English terms with quotations",
"en:Biology"
],
"glosses": [
"Similarity of form",
"the similarity in form of organisms, which may be due to convergent evolution or shared genetic background, e.g. an algae species in which the haploid and diploid life stages are indistinguishable based on morphology."
],
"links": [
[
"biology",
"biology"
],
[
"similarity",
"similarity"
],
[
"form",
"form"
],
[
"organism",
"organism"
],
[
"convergent evolution",
"convergent evolution"
],
[
"haploid",
"haploid"
],
[
"diploid",
"diploid"
]
],
"raw_glosses": [
"Similarity of form",
"(biology) the similarity in form of organisms, which may be due to convergent evolution or shared genetic background, e.g. an algae species in which the haploid and diploid life stages are indistinguishable based on morphology."
],
"tags": [
"countable",
"uncountable"
],
"topics": [
"biology",
"natural-sciences"
]
},
{
"categories": [
"English terms with quotations",
"en:Chemistry"
],
"examples": [
{
"ref": "1874, C. Rammelsberg, “Crystallographic and chemical relations of the natural sulphides, arsenides, and sulpharsenides”, in The Chemical News and Journal of Physical Science, page 197",
"text": "The isomorphism of compounds does not prove the isomorphism of their respective constituents.",
"type": "quotation"
}
],
"glosses": [
"Similarity of form",
"the similarity in the crystal structures of similar chemical compounds."
],
"links": [
[
"chemistry",
"chemistry"
],
[
"crystal",
"crystal"
],
[
"chemical",
"chemical"
],
[
"compound",
"compound"
]
],
"raw_glosses": [
"Similarity of form",
"(chemistry) the similarity in the crystal structures of similar chemical compounds."
],
"tags": [
"countable",
"uncountable"
],
"topics": [
"chemistry",
"natural-sciences",
"physical-sciences"
]
},
{
"categories": [
"English terms with quotations",
"en:Sociology"
],
"glosses": [
"Similarity of form",
"the similarity in the structure or processes of different organizations."
],
"links": [
[
"sociology",
"sociology"
],
[
"processes",
"processes"
],
[
"organization",
"organization"
]
],
"raw_glosses": [
"Similarity of form",
"(sociology) the similarity in the structure or processes of different organizations."
],
"tags": [
"countable",
"uncountable"
],
"topics": [
"human-sciences",
"sciences",
"social-science",
"sociology"
]
},
{
"categories": [
"English terms with quotations"
],
"examples": [
{
"ref": "1984, Brigitte Asbach-Schnitker, “Introduction”, in Mercury or The Secret and Swift Messenger",
"text": "The postulated isomorphism between words and things constitutes the characterizing feature of all philosophically based universal languages.",
"type": "quotation"
}
],
"glosses": [
"Similarity of form"
],
"tags": [
"countable",
"uncountable"
]
},
{
"categories": [
"en:Functions"
],
"glosses": [
"A one-to-one correspondence",
"A bijection f such that both f and its inverse f⁻¹ are homomorphisms, that is, structure-preserving mappings."
],
"links": [
[
"bijection",
"bijection"
],
[
"inverse",
"inverse function"
],
[
"homomorphism",
"homomorphism"
]
],
"qualifier": "group algebra",
"raw_glosses": [
"A one-to-one correspondence",
"(group algebra) A bijection f such that both f and its inverse f⁻¹ are homomorphisms, that is, structure-preserving mappings."
],
"tags": [
"countable",
"uncountable"
]
},
{
"categories": [
"en:Computer science"
],
"glosses": [
"A one-to-one correspondence",
"a one-to-one correspondence between all the elements of two sets, e.g. the instances of two classes, or the records in two datasets."
],
"links": [
[
"computer science",
"computer science"
],
[
"one-to-one",
"one-to-one"
],
[
"correspondence",
"correspondence"
],
[
"element",
"element"
],
[
"set",
"set"
],
[
"instance",
"instance"
],
[
"class",
"class"
],
[
"record",
"record"
],
[
"dataset",
"dataset"
]
],
"raw_glosses": [
"A one-to-one correspondence",
"(computer science) a one-to-one correspondence between all the elements of two sets, e.g. the instances of two classes, or the records in two datasets."
],
"tags": [
"countable",
"uncountable"
],
"topics": [
"computer",
"computing",
"engineering",
"mathematics",
"natural-sciences",
"physical-sciences",
"science",
"sciences"
]
},
{
"categories": [
"en:Category theory"
],
"glosses": [
"A one-to-one correspondence",
"A morphism which has a two-sided inverse; the composition of the morphism and such an inverse yields either one of two identity morphisms (depending on the order of composition)."
],
"links": [
[
"category theory",
"category theory"
],
[
"morphism",
"morphism"
]
],
"raw_glosses": [
"A one-to-one correspondence",
"(category theory) A morphism which has a two-sided inverse; the composition of the morphism and such an inverse yields either one of two identity morphisms (depending on the order of composition)."
],
"tags": [
"countable",
"uncountable"
],
"topics": [
"category-theory",
"computing",
"engineering",
"mathematics",
"natural-sciences",
"physical-sciences",
"sciences"
]
}
],
"sounds": [
{
"audio": "en-us-isomorphism.ogg",
"mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/a/ae/En-us-isomorphism.ogg/En-us-isomorphism.ogg.mp3",
"ogg_url": "https://upload.wikimedia.org/wikipedia/commons/a/ae/En-us-isomorphism.ogg",
"tags": [
"US"
],
"text": "Audio (US)"
}
],
"synonyms": [
{
"sense": "in category theory",
"word": "iso"
}
],
"translations": [
{
"code": "bg",
"lang": "Bulgarian",
"roman": "izomorfízǎm",
"sense": "the similarity in form of organisms of different ancestry",
"tags": [
"masculine"
],
"word": "изоморфи́зъм"
},
{
"code": "cs",
"lang": "Czech",
"sense": "the similarity in form of organisms of different ancestry",
"tags": [
"masculine"
],
"word": "izomorfismus"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "the similarity in form of organisms of different ancestry",
"word": "isomorfismi"
},
{
"code": "fr",
"lang": "French",
"sense": "the similarity in form of organisms of different ancestry",
"tags": [
"masculine"
],
"word": "isomorphisme"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "the similarity in form of organisms of different ancestry",
"word": "izomorfizmus"
},
{
"code": "it",
"lang": "Italian",
"sense": "the similarity in form of organisms of different ancestry",
"tags": [
"masculine"
],
"word": "isomorfismo"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "the similarity in form of organisms of different ancestry",
"tags": [
"masculine"
],
"word": "isomorfismo"
},
{
"code": "ru",
"lang": "Russian",
"roman": "izomorfízm",
"sense": "the similarity in form of organisms of different ancestry",
"tags": [
"masculine"
],
"word": "изоморфи́зм"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "the similarity in form of organisms of different ancestry",
"tags": [
"masculine"
],
"word": "izomorfizam"
},
{
"code": "es",
"lang": "Spanish",
"sense": "the similarity in form of organisms of different ancestry",
"tags": [
"masculine"
],
"word": "isomorfismo"
},
{
"code": "tl",
"lang": "Tagalog",
"sense": "the similarity in form of organisms of different ancestry",
"word": "kasanyuan"
},
{
"code": "uk",
"lang": "Ukrainian",
"roman": "izomorfízm",
"sense": "the similarity in form of organisms of different ancestry",
"tags": [
"masculine"
],
"word": "ізоморфі́зм"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "bidirectionally structure-preserving bijection",
"word": "同構"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "tónggòu",
"sense": "bidirectionally structure-preserving bijection",
"word": "同构"
},
{
"code": "cs",
"lang": "Czech",
"sense": "bidirectionally structure-preserving bijection",
"tags": [
"masculine"
],
"word": "izomorfismus"
},
{
"code": "da",
"lang": "Danish",
"sense": "bidirectionally structure-preserving bijection",
"tags": [
"common-gender"
],
"word": "isomorfi"
},
{
"code": "nl",
"lang": "Dutch",
"sense": "bidirectionally structure-preserving bijection",
"tags": [
"neuter"
],
"word": "isomorfisme"
},
{
"code": "eo",
"lang": "Esperanto",
"sense": "bidirectionally structure-preserving bijection",
"word": "izomorfio"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "bidirectionally structure-preserving bijection",
"word": "isomorfismi"
},
{
"code": "de",
"lang": "German",
"sense": "bidirectionally structure-preserving bijection",
"tags": [
"masculine"
],
"word": "Isomorphismus"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "bidirectionally structure-preserving bijection",
"word": "izomorfia"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "bidirectionally structure-preserving bijection",
"tags": [
"feminine"
],
"word": "einsmótun"
},
{
"code": "kk",
"lang": "Kazakh",
"roman": "izomorfizm",
"sense": "bidirectionally structure-preserving bijection",
"word": "изоморфизм"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "bidirectionally structure-preserving bijection",
"tags": [
"masculine"
],
"word": "isomorfismo"
},
{
"code": "ru",
"lang": "Russian",
"roman": "izomorfizm",
"sense": "bidirectionally structure-preserving bijection",
"tags": [
"masculine"
],
"word": "изоморфизм"
},
{
"code": "es",
"lang": "Spanish",
"sense": "bidirectionally structure-preserving bijection",
"tags": [
"masculine"
],
"word": "isomorfismo"
}
],
"word": "isomorphism"
}
{
"called_from": "page/1498/20230118",
"msg": "''Similarity of form'[...]' gloss has examples we want to keep, but there are subglosses.",
"path": [
"isomorphism"
],
"section": "English",
"subsection": "noun",
"title": "isomorphism",
"trace": ""
}
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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.