"isomorphic" meaning in English

See isomorphic in All languages combined, or Wiktionary

Adjective

IPA: /ˌaɪ.səˈmɔː.fɪk/ [UK], /ˌaɪ.soʊˈmɔɹ.fɪk/ [US] Audio: En-us-isomorphic.ogg , en-au-isomorphic.ogg
enPR: īsəmô'fĭk [UK], īsōmôr'fĭk [US] Rhymes: -ɔː(ɹ)fɪk Etymology: From iso- + -morphic. Etymology templates: {{af|en|iso-|-morphic}} iso- + -morphic Head templates: {{en-adj|-}} isomorphic (not comparable)
  1. (mathematics) Related by an isomorphism; having a structure-preserving one-to-one correspondence. Tags: not-comparable Categories (topical): Mathematics Translations ((mathematics) related by an isomorphism): isomòrfic (Catalan), 同構 /同构 (tónggòu) (Chinese Mandarin), izomorfní (Czech), isomorf (Dutch), isomorfinen (Finnish), isomorphe (French), isomorph (German), izomorf (Hungarian), iseamorfach (Irish), 同型の (dōkei no) (Japanese), isomorpha [feminine] (Latin), izomorfinis (Lithuanian), izomorficzny (Polish), isomorfo (Portuguese), isomórfico (Portuguese), изомо́рфный (izomórfnyj) (Russian), изоморфно [Cyrillic] (Serbo-Croatian), izomorfno [Roman] (Serbo-Croatian), isomorfo (Spanish), isomorf (Swedish)
    Sense id: en-isomorphic-en-adj-xFdnRoNR Categories (other): English terms prefixed with iso- Disambiguation of English terms prefixed with iso-: 54 22 24 Topics: mathematics, sciences Disambiguation of '(mathematics) related by an isomorphism': 80 15 5
  2. (biology) Having a similar structure or function to something that is not related genetically or through evolution. Tags: not-comparable Categories (topical): Biology Translations ((biology) having a similar structure or function without genetic relation): isomòrfic (Catalan), isomorfinen (Finnish), iseamorfach (Irish)
    Sense id: en-isomorphic-en-adj-84aB5yXH Topics: biology, natural-sciences Disambiguation of '(biology) having a similar structure or function without genetic relation': 18 62 21
  3. Having identical relevant structure; being structure-preserving while undergoing certain invertible transformations. Tags: not-comparable Translations (having identical relevant structure): isomòrfic (Catalan), isomorfinen (Finnish), iseamorfach (Irish), isomorf (Swedish)
    Sense id: en-isomorphic-en-adj-VjiBd01D Categories (other): English entries with incorrect language header, English terms suffixed with -morphic, Entries with translation boxes, Pages with 1 entry, Pages with entries, Terms with Catalan translations, Terms with Czech translations, Terms with Dutch translations, Terms with Esperanto translations, Terms with Finnish translations, Terms with French translations, Terms with German translations, Terms with Hungarian translations, Terms with Irish translations, Terms with Japanese translations, Terms with Latin translations, Terms with Lithuanian translations, Terms with Mandarin translations, Terms with Polish translations, Terms with Portuguese translations, Terms with Russian translations, Terms with Serbo-Croatian translations, Terms with Spanish translations, Terms with Swedish translations Disambiguation of English entries with incorrect language header: 24 33 43 Disambiguation of English terms suffixed with -morphic: 24 32 44 Disambiguation of Entries with translation boxes: 16 28 56 Disambiguation of Pages with 1 entry: 21 34 45 Disambiguation of Pages with entries: 8 28 64 Disambiguation of Terms with Catalan translations: 21 22 57 Disambiguation of Terms with Czech translations: 28 23 49 Disambiguation of Terms with Dutch translations: 15 22 63 Disambiguation of Terms with Esperanto translations: 17 19 64 Disambiguation of Terms with Finnish translations: 21 22 58 Disambiguation of Terms with French translations: 17 22 61 Disambiguation of Terms with German translations: 15 21 64 Disambiguation of Terms with Hungarian translations: 33 23 43 Disambiguation of Terms with Irish translations: 20 21 59 Disambiguation of Terms with Japanese translations: 12 20 68 Disambiguation of Terms with Latin translations: 12 20 68 Disambiguation of Terms with Lithuanian translations: 21 22 58 Disambiguation of Terms with Mandarin translations: 26 28 46 Disambiguation of Terms with Polish translations: 22 23 55 Disambiguation of Terms with Portuguese translations: 20 20 60 Disambiguation of Terms with Russian translations: 12 20 68 Disambiguation of Terms with Serbo-Croatian translations: 21 22 58 Disambiguation of Terms with Spanish translations: 10 19 71 Disambiguation of Terms with Swedish translations: 20 21 58 Disambiguation of 'having identical relevant structure': 7 12 81
The following are not (yet) sense-disambiguated
Derived forms: anisomorphic, isomorphically Related terms: isomorph, isomorphism, isomorphous Coordinate_terms: anisomorphic, heteromorphic, homomorphic
{
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      "word": "anisomorphic"
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      "word": "nonisomorphic"
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      "_dis1": "0 0 0",
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      "_dis1": "0 0 0",
      "word": "heteromorphic"
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      "word": "homomorphic"
    }
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  "etymology_text": "From iso- + -morphic.",
  "head_templates": [
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      "args": {
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  "lang_code": "en",
  "pos": "adj",
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    {
      "_dis1": "0 0 0",
      "word": "isomorph"
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    {
      "_dis1": "0 0 0",
      "word": "isomorphism"
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      "_dis1": "0 0 0",
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  "senses": [
    {
      "categories": [
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          "kind": "topical",
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        {
          "ref": "2003, Bernd Siegfried Walter Schröder, Ordered Sets: An Introduction, page 254:",
          "text": "Let A, B be the ordered sets in Figure 10.3. Let C be the direct product of infinitely many copies of the two element chain 2. Then A^C is isomorphic to B^C, but A is not isomorphic to B.",
          "type": "quote"
        }
      ],
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        "Related by an isomorphism; having a structure-preserving one-to-one correspondence."
      ],
      "id": "en-isomorphic-en-adj-xFdnRoNR",
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        "(mathematics) Related by an isomorphism; having a structure-preserving one-to-one correspondence."
      ],
      "tags": [
        "not-comparable"
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      "translations": [
        {
          "_dis1": "80 15 5",
          "code": "ca",
          "lang": "Catalan",
          "sense": "(mathematics) related by an isomorphism",
          "word": "isomòrfic"
        },
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          "code": "cmn",
          "lang": "Chinese Mandarin",
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          "sense": "(mathematics) related by an isomorphism",
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          "code": "cs",
          "lang": "Czech",
          "sense": "(mathematics) related by an isomorphism",
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          "_dis1": "80 15 5",
          "code": "nl",
          "lang": "Dutch",
          "sense": "(mathematics) related by an isomorphism",
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          "code": "fi",
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          "_dis1": "80 15 5",
          "code": "fr",
          "lang": "French",
          "sense": "(mathematics) related by an isomorphism",
          "word": "isomorphe"
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        {
          "_dis1": "80 15 5",
          "code": "de",
          "lang": "German",
          "sense": "(mathematics) related by an isomorphism",
          "word": "isomorph"
        },
        {
          "_dis1": "80 15 5",
          "code": "hu",
          "lang": "Hungarian",
          "sense": "(mathematics) related by an isomorphism",
          "word": "izomorf"
        },
        {
          "_dis1": "80 15 5",
          "code": "ga",
          "lang": "Irish",
          "sense": "(mathematics) related by an isomorphism",
          "word": "iseamorfach"
        },
        {
          "_dis1": "80 15 5",
          "code": "ja",
          "lang": "Japanese",
          "roman": "dōkei no",
          "sense": "(mathematics) related by an isomorphism",
          "word": "同型の"
        },
        {
          "_dis1": "80 15 5",
          "code": "la",
          "lang": "Latin",
          "sense": "(mathematics) related by an isomorphism",
          "tags": [
            "feminine"
          ],
          "word": "isomorpha"
        },
        {
          "_dis1": "80 15 5",
          "code": "lt",
          "lang": "Lithuanian",
          "sense": "(mathematics) related by an isomorphism",
          "word": "izomorfinis"
        },
        {
          "_dis1": "80 15 5",
          "code": "pl",
          "lang": "Polish",
          "sense": "(mathematics) related by an isomorphism",
          "word": "izomorficzny"
        },
        {
          "_dis1": "80 15 5",
          "code": "pt",
          "lang": "Portuguese",
          "sense": "(mathematics) related by an isomorphism",
          "word": "isomorfo"
        },
        {
          "_dis1": "80 15 5",
          "code": "pt",
          "lang": "Portuguese",
          "sense": "(mathematics) related by an isomorphism",
          "word": "isomórfico"
        },
        {
          "_dis1": "80 15 5",
          "code": "ru",
          "lang": "Russian",
          "roman": "izomórfnyj",
          "sense": "(mathematics) related by an isomorphism",
          "word": "изомо́рфный"
        },
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          "_dis1": "80 15 5",
          "code": "sh",
          "lang": "Serbo-Croatian",
          "sense": "(mathematics) related by an isomorphism",
          "tags": [
            "Cyrillic"
          ],
          "word": "изоморфно"
        },
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          "_dis1": "80 15 5",
          "code": "sh",
          "lang": "Serbo-Croatian",
          "sense": "(mathematics) related by an isomorphism",
          "tags": [
            "Roman"
          ],
          "word": "izomorfno"
        },
        {
          "_dis1": "80 15 5",
          "code": "es",
          "lang": "Spanish",
          "sense": "(mathematics) related by an isomorphism",
          "word": "isomorfo"
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          "_dis1": "80 15 5",
          "code": "sv",
          "lang": "Swedish",
          "sense": "(mathematics) related by an isomorphism",
          "word": "isomorf"
        }
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          "ref": "1993, Marcus Jacobson, Foundations of Neuroscience, page 106:",
          "text": "The fact that different structures can be shown to be functionally isomorphic implies that they are analogous, not homologous.",
          "type": "quote"
        }
      ],
      "glosses": [
        "Having a similar structure or function to something that is not related genetically or through evolution."
      ],
      "id": "en-isomorphic-en-adj-84aB5yXH",
      "links": [
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          "biology"
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        [
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          "similar"
        ],
        [
          "genetically",
          "genetically"
        ],
        [
          "evolution",
          "evolution"
        ]
      ],
      "raw_glosses": [
        "(biology) Having a similar structure or function to something that is not related genetically or through evolution."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "biology",
        "natural-sciences"
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      "translations": [
        {
          "_dis1": "18 62 21",
          "code": "ca",
          "lang": "Catalan",
          "sense": "(biology) having a similar structure or function without genetic relation",
          "word": "isomòrfic"
        },
        {
          "_dis1": "18 62 21",
          "code": "fi",
          "lang": "Finnish",
          "sense": "(biology) having a similar structure or function without genetic relation",
          "word": "isomorfinen"
        },
        {
          "_dis1": "18 62 21",
          "code": "ga",
          "lang": "Irish",
          "sense": "(biology) having a similar structure or function without genetic relation",
          "word": "iseamorfach"
        }
      ]
    },
    {
      "categories": [
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          "kind": "other",
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          "parents": [
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            "Entry maintenance"
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        }
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        {
          "ref": "1981, John Lyons, Language and Linguistics: An Introduction, page 60:",
          "text": "For example, in so far as written and spoken English are isomorphic (i.e. have the same structure), they are the same language: there is nothing but their structure that they have in common.",
          "type": "quote"
        }
      ],
      "glosses": [
        "Having identical relevant structure; being structure-preserving while undergoing certain invertible transformations."
      ],
      "id": "en-isomorphic-en-adj-VjiBd01D",
      "links": [
        [
          "structure",
          "structure"
        ],
        [
          "invertible",
          "invertible"
        ],
        [
          "transformation",
          "transformation"
        ]
      ],
      "tags": [
        "not-comparable"
      ],
      "translations": [
        {
          "_dis1": "7 12 81",
          "code": "ca",
          "lang": "Catalan",
          "sense": "having identical relevant structure",
          "word": "isomòrfic"
        },
        {
          "_dis1": "7 12 81",
          "code": "fi",
          "lang": "Finnish",
          "sense": "having identical relevant structure",
          "word": "isomorfinen"
        },
        {
          "_dis1": "7 12 81",
          "code": "ga",
          "lang": "Irish",
          "sense": "having identical relevant structure",
          "word": "iseamorfach"
        },
        {
          "_dis1": "7 12 81",
          "code": "sv",
          "lang": "Swedish",
          "sense": "having identical relevant structure",
          "word": "isomorf"
        }
      ]
    }
  ],
  "sounds": [
    {
      "enpr": "īsəmô'fĭk",
      "tags": [
        "UK"
      ]
    },
    {
      "ipa": "/ˌaɪ.səˈmɔː.fɪk/",
      "tags": [
        "UK"
      ]
    },
    {
      "enpr": "īsōmôr'fĭk",
      "tags": [
        "US"
      ]
    },
    {
      "ipa": "/ˌaɪ.soʊˈmɔɹ.fɪk/",
      "tags": [
        "US"
      ]
    },
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      "audio": "En-us-isomorphic.ogg",
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      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/5/5d/En-us-isomorphic.ogg"
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    },
    {
      "rhymes": "-ɔː(ɹ)fɪk"
    }
  ],
  "word": "isomorphic"
}
{
  "antonyms": [
    {
      "word": "anisomorphic"
    },
    {
      "word": "nonisomorphic"
    }
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  "categories": [
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    "English entries with incorrect language header",
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    "Terms with Esperanto translations",
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    "Terms with German translations",
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    "Terms with Irish translations",
    "Terms with Japanese translations",
    "Terms with Latin translations",
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    "Terms with Mandarin translations",
    "Terms with Polish translations",
    "Terms with Portuguese translations",
    "Terms with Russian translations",
    "Terms with Serbo-Croatian translations",
    "Terms with Spanish translations",
    "Terms with Swedish translations"
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  "coordinate_terms": [
    {
      "word": "anisomorphic"
    },
    {
      "word": "heteromorphic"
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    {
      "word": "homomorphic"
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  "lang_code": "en",
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    {
      "word": "isomorphism"
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        {
          "ref": "2003, Bernd Siegfried Walter Schröder, Ordered Sets: An Introduction, page 254:",
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          "type": "quote"
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        [
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        "(mathematics) Related by an isomorphism; having a structure-preserving one-to-one correspondence."
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        "en:Biology"
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          "ref": "1993, Marcus Jacobson, Foundations of Neuroscience, page 106:",
          "text": "The fact that different structures can be shown to be functionally isomorphic implies that they are analogous, not homologous.",
          "type": "quote"
        }
      ],
      "glosses": [
        "Having a similar structure or function to something that is not related genetically or through evolution."
      ],
      "links": [
        [
          "biology",
          "biology"
        ],
        [
          "similar",
          "similar"
        ],
        [
          "genetically",
          "genetically"
        ],
        [
          "evolution",
          "evolution"
        ]
      ],
      "raw_glosses": [
        "(biology) Having a similar structure or function to something that is not related genetically or through evolution."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "biology",
        "natural-sciences"
      ]
    },
    {
      "categories": [
        "English terms with quotations"
      ],
      "examples": [
        {
          "ref": "1981, John Lyons, Language and Linguistics: An Introduction, page 60:",
          "text": "For example, in so far as written and spoken English are isomorphic (i.e. have the same structure), they are the same language: there is nothing but their structure that they have in common.",
          "type": "quote"
        }
      ],
      "glosses": [
        "Having identical relevant structure; being structure-preserving while undergoing certain invertible transformations."
      ],
      "links": [
        [
          "structure",
          "structure"
        ],
        [
          "invertible",
          "invertible"
        ],
        [
          "transformation",
          "transformation"
        ]
      ],
      "tags": [
        "not-comparable"
      ]
    }
  ],
  "sounds": [
    {
      "enpr": "īsəmô'fĭk",
      "tags": [
        "UK"
      ]
    },
    {
      "ipa": "/ˌaɪ.səˈmɔː.fɪk/",
      "tags": [
        "UK"
      ]
    },
    {
      "enpr": "īsōmôr'fĭk",
      "tags": [
        "US"
      ]
    },
    {
      "ipa": "/ˌaɪ.soʊˈmɔɹ.fɪk/",
      "tags": [
        "US"
      ]
    },
    {
      "audio": "En-us-isomorphic.ogg",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/5/5d/En-us-isomorphic.ogg/En-us-isomorphic.ogg.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/5/5d/En-us-isomorphic.ogg"
    },
    {
      "audio": "en-au-isomorphic.ogg",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/7/78/En-au-isomorphic.ogg/En-au-isomorphic.ogg.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/7/78/En-au-isomorphic.ogg"
    },
    {
      "rhymes": "-ɔː(ɹ)fɪk"
    }
  ],
  "translations": [
    {
      "code": "ca",
      "lang": "Catalan",
      "sense": "(mathematics) related by an isomorphism",
      "word": "isomòrfic"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "tónggòu",
      "sense": "(mathematics) related by an isomorphism",
      "word": "同構 /同构"
    },
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "(mathematics) related by an isomorphism",
      "word": "izomorfní"
    },
    {
      "code": "nl",
      "lang": "Dutch",
      "sense": "(mathematics) related by an isomorphism",
      "word": "isomorf"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "(mathematics) related by an isomorphism",
      "word": "isomorfinen"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "(mathematics) related by an isomorphism",
      "word": "isomorphe"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "(mathematics) related by an isomorphism",
      "word": "isomorph"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "(mathematics) related by an isomorphism",
      "word": "izomorf"
    },
    {
      "code": "ga",
      "lang": "Irish",
      "sense": "(mathematics) related by an isomorphism",
      "word": "iseamorfach"
    },
    {
      "code": "ja",
      "lang": "Japanese",
      "roman": "dōkei no",
      "sense": "(mathematics) related by an isomorphism",
      "word": "同型の"
    },
    {
      "code": "la",
      "lang": "Latin",
      "sense": "(mathematics) related by an isomorphism",
      "tags": [
        "feminine"
      ],
      "word": "isomorpha"
    },
    {
      "code": "lt",
      "lang": "Lithuanian",
      "sense": "(mathematics) related by an isomorphism",
      "word": "izomorfinis"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "(mathematics) related by an isomorphism",
      "word": "izomorficzny"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "(mathematics) related by an isomorphism",
      "word": "isomorfo"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "(mathematics) related by an isomorphism",
      "word": "isomórfico"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "izomórfnyj",
      "sense": "(mathematics) related by an isomorphism",
      "word": "изомо́рфный"
    },
    {
      "code": "sh",
      "lang": "Serbo-Croatian",
      "sense": "(mathematics) related by an isomorphism",
      "tags": [
        "Cyrillic"
      ],
      "word": "изоморфно"
    },
    {
      "code": "sh",
      "lang": "Serbo-Croatian",
      "sense": "(mathematics) related by an isomorphism",
      "tags": [
        "Roman"
      ],
      "word": "izomorfno"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "(mathematics) related by an isomorphism",
      "word": "isomorfo"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "(mathematics) related by an isomorphism",
      "word": "isomorf"
    },
    {
      "code": "ca",
      "lang": "Catalan",
      "sense": "(biology) having a similar structure or function without genetic relation",
      "word": "isomòrfic"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "(biology) having a similar structure or function without genetic relation",
      "word": "isomorfinen"
    },
    {
      "code": "ga",
      "lang": "Irish",
      "sense": "(biology) having a similar structure or function without genetic relation",
      "word": "iseamorfach"
    },
    {
      "code": "ca",
      "lang": "Catalan",
      "sense": "having identical relevant structure",
      "word": "isomòrfic"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "having identical relevant structure",
      "word": "isomorfinen"
    },
    {
      "code": "ga",
      "lang": "Irish",
      "sense": "having identical relevant structure",
      "word": "iseamorfach"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "having identical relevant structure",
      "word": "isomorf"
    }
  ],
  "word": "isomorphic"
}

Download raw JSONL data for isomorphic meaning in English (7.7kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-02-17 from the enwiktionary dump dated 2025-02-02 using wiktextract (ca09fec and c40eb85). 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.