"isomorphic" meaning in All languages combined

See isomorphic on Wiktionary

Adjective [English]

IPA: /ˌaɪ.səˈmɔː.fɪk/ [UK], /ˌaɪ.soʊˈmɔɹ.fɪk/ [US] Audio: En-us-isomorphic.ogg [US], en-au-isomorphic.ogg [Australia]
enPR: īsəmô'fĭk, īsōmôr'fĭk 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 (Chinese Mandarin), 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-: 45 25 29 Topics: mathematics, sciences Disambiguation of '(mathematics) related by an isomorphism': 73 17 9
  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': 23 50 27
  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 Disambiguation of English entries with incorrect language header: 23 33 44 Disambiguation of English terms suffixed with -morphic: 25 29 46 Disambiguation of 'having identical relevant structure': 12 17 70
The following are not (yet) sense-disambiguated
Derived forms: anisomorphic, isomorphically Related terms: isomorph, isomorphism, isomorphous Coordinate_terms: anisomorphic, heteromorphic, homomorphic

Download JSON data for isomorphic meaning in All languages combined (8.3kB)

{
  "antonyms": [
    {
      "word": "anisomorphic"
    },
    {
      "word": "nonisomorphic"
    }
  ],
  "coordinate_terms": [
    {
      "_dis1": "0 0 0",
      "word": "anisomorphic"
    },
    {
      "_dis1": "0 0 0",
      "word": "heteromorphic"
    },
    {
      "_dis1": "0 0 0",
      "word": "homomorphic"
    }
  ],
  "derived": [
    {
      "_dis1": "0 0 0",
      "word": "anisomorphic"
    },
    {
      "_dis1": "0 0 0",
      "word": "isomorphically"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "iso-",
        "3": "-morphic"
      },
      "expansion": "iso- + -morphic",
      "name": "af"
    }
  ],
  "etymology_text": "From iso- + -morphic.",
  "head_templates": [
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      "args": {
        "1": "-"
      },
      "expansion": "isomorphic (not comparable)",
      "name": "en-adj"
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  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "related": [
    {
      "_dis1": "0 0 0",
      "word": "isomorph"
    },
    {
      "_dis1": "0 0 0",
      "word": "isomorphism"
    },
    {
      "_dis1": "0 0 0",
      "word": "isomorphous"
    }
  ],
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "45 25 29",
          "kind": "other",
          "name": "English terms prefixed with iso-",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "examples": [
        {
          "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": "quotation"
        }
      ],
      "glosses": [
        "Related by an isomorphism; having a structure-preserving one-to-one correspondence."
      ],
      "id": "en-isomorphic-en-adj-xFdnRoNR",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "isomorphism",
          "isomorphism"
        ],
        [
          "correspondence",
          "correspondence"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Related by an isomorphism; having a structure-preserving one-to-one correspondence."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "_dis1": "73 17 9",
          "code": "ca",
          "lang": "Catalan",
          "sense": "(mathematics) related by an isomorphism",
          "word": "isomòrfic"
        },
        {
          "_dis1": "73 17 9",
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "sense": "(mathematics) related by an isomorphism",
          "word": "同構"
        },
        {
          "_dis1": "73 17 9",
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "tónggòu",
          "sense": "(mathematics) related by an isomorphism",
          "word": "同构"
        },
        {
          "_dis1": "73 17 9",
          "code": "cs",
          "lang": "Czech",
          "sense": "(mathematics) related by an isomorphism",
          "word": "izomorfní"
        },
        {
          "_dis1": "73 17 9",
          "code": "nl",
          "lang": "Dutch",
          "sense": "(mathematics) related by an isomorphism",
          "word": "isomorf"
        },
        {
          "_dis1": "73 17 9",
          "code": "fi",
          "lang": "Finnish",
          "sense": "(mathematics) related by an isomorphism",
          "word": "isomorfinen"
        },
        {
          "_dis1": "73 17 9",
          "code": "fr",
          "lang": "French",
          "sense": "(mathematics) related by an isomorphism",
          "word": "isomorphe"
        },
        {
          "_dis1": "73 17 9",
          "code": "de",
          "lang": "German",
          "sense": "(mathematics) related by an isomorphism",
          "word": "isomorph"
        },
        {
          "_dis1": "73 17 9",
          "code": "hu",
          "lang": "Hungarian",
          "sense": "(mathematics) related by an isomorphism",
          "word": "izomorf"
        },
        {
          "_dis1": "73 17 9",
          "code": "ga",
          "lang": "Irish",
          "sense": "(mathematics) related by an isomorphism",
          "word": "iseamorfach"
        },
        {
          "_dis1": "73 17 9",
          "code": "ja",
          "lang": "Japanese",
          "roman": "dōkei no",
          "sense": "(mathematics) related by an isomorphism",
          "word": "同型の"
        },
        {
          "_dis1": "73 17 9",
          "code": "la",
          "lang": "Latin",
          "sense": "(mathematics) related by an isomorphism",
          "tags": [
            "feminine"
          ],
          "word": "isomorpha"
        },
        {
          "_dis1": "73 17 9",
          "code": "lt",
          "lang": "Lithuanian",
          "sense": "(mathematics) related by an isomorphism",
          "word": "izomorfinis"
        },
        {
          "_dis1": "73 17 9",
          "code": "pl",
          "lang": "Polish",
          "sense": "(mathematics) related by an isomorphism",
          "word": "izomorficzny"
        },
        {
          "_dis1": "73 17 9",
          "code": "pt",
          "lang": "Portuguese",
          "sense": "(mathematics) related by an isomorphism",
          "word": "isomorfo"
        },
        {
          "_dis1": "73 17 9",
          "code": "pt",
          "lang": "Portuguese",
          "sense": "(mathematics) related by an isomorphism",
          "word": "isomórfico"
        },
        {
          "_dis1": "73 17 9",
          "code": "ru",
          "lang": "Russian",
          "roman": "izomórfnyj",
          "sense": "(mathematics) related by an isomorphism",
          "word": "изомо́рфный"
        },
        {
          "_dis1": "73 17 9",
          "code": "sh",
          "lang": "Serbo-Croatian",
          "sense": "(mathematics) related by an isomorphism",
          "tags": [
            "Cyrillic"
          ],
          "word": "изоморфно"
        },
        {
          "_dis1": "73 17 9",
          "code": "sh",
          "lang": "Serbo-Croatian",
          "sense": "(mathematics) related by an isomorphism",
          "tags": [
            "Roman"
          ],
          "word": "izomorfno"
        },
        {
          "_dis1": "73 17 9",
          "code": "es",
          "lang": "Spanish",
          "sense": "(mathematics) related by an isomorphism",
          "word": "isomorfo"
        },
        {
          "_dis1": "73 17 9",
          "code": "sv",
          "lang": "Swedish",
          "sense": "(mathematics) related by an isomorphism",
          "word": "isomorf"
        }
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Biology",
          "orig": "en:Biology",
          "parents": [
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "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": "quotation"
        }
      ],
      "glosses": [
        "Having a similar structure or function to something that is not related genetically or through evolution."
      ],
      "id": "en-isomorphic-en-adj-84aB5yXH",
      "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"
      ],
      "translations": [
        {
          "_dis1": "23 50 27",
          "code": "ca",
          "lang": "Catalan",
          "sense": "(biology) having a similar structure or function without genetic relation",
          "word": "isomòrfic"
        },
        {
          "_dis1": "23 50 27",
          "code": "fi",
          "lang": "Finnish",
          "sense": "(biology) having a similar structure or function without genetic relation",
          "word": "isomorfinen"
        },
        {
          "_dis1": "23 50 27",
          "code": "ga",
          "lang": "Irish",
          "sense": "(biology) having a similar structure or function without genetic relation",
          "word": "iseamorfach"
        }
      ]
    },
    {
      "categories": [
        {
          "_dis": "23 33 44",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "25 29 46",
          "kind": "other",
          "name": "English terms suffixed with -morphic",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "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": "quotation"
        }
      ],
      "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": "12 17 70",
          "code": "ca",
          "lang": "Catalan",
          "sense": "having identical relevant structure",
          "word": "isomòrfic"
        },
        {
          "_dis1": "12 17 70",
          "code": "fi",
          "lang": "Finnish",
          "sense": "having identical relevant structure",
          "word": "isomorfinen"
        },
        {
          "_dis1": "12 17 70",
          "code": "ga",
          "lang": "Irish",
          "sense": "having identical relevant structure",
          "word": "iseamorfach"
        },
        {
          "_dis1": "12 17 70",
          "code": "sv",
          "lang": "Swedish",
          "sense": "having identical relevant structure",
          "word": "isomorf"
        }
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/ˌaɪ.səˈmɔː.fɪk/",
      "tags": [
        "UK"
      ]
    },
    {
      "ipa": "/ˌaɪ.soʊˈmɔɹ.fɪk/",
      "tags": [
        "US"
      ]
    },
    {
      "rhymes": "-ɔː(ɹ)fɪk"
    },
    {
      "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",
      "tags": [
        "US"
      ],
      "text": "Audio (US)"
    },
    {
      "audio": "en-au-isomorphic.ogg",
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      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/7/78/En-au-isomorphic.ogg",
      "tags": [
        "Australia"
      ],
      "text": "Audio (AU)"
    },
    {
      "enpr": "īsəmô'fĭk"
    },
    {
      "enpr": "īsōmôr'fĭk"
    }
  ],
  "word": "isomorphic"
}
{
  "antonyms": [
    {
      "word": "anisomorphic"
    },
    {
      "word": "nonisomorphic"
    }
  ],
  "categories": [
    "English 4-syllable words",
    "English adjectives",
    "English entries with incorrect language header",
    "English lemmas",
    "English terms prefixed with iso-",
    "English terms suffixed with -morphic",
    "English terms with IPA pronunciation",
    "English terms with audio links",
    "English uncomparable adjectives",
    "Rhymes:English/ɔː(ɹ)fɪk",
    "Rhymes:English/ɔː(ɹ)fɪk/4 syllables"
  ],
  "coordinate_terms": [
    {
      "word": "anisomorphic"
    },
    {
      "word": "heteromorphic"
    },
    {
      "word": "homomorphic"
    }
  ],
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    {
      "word": "anisomorphic"
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    {
      "word": "isomorphically"
    }
  ],
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      "name": "af"
    }
  ],
  "etymology_text": "From iso- + -morphic.",
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      "expansion": "isomorphic (not comparable)",
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  "lang_code": "en",
  "pos": "adj",
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      "word": "isomorph"
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    {
      "word": "isomorphism"
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        "Quotation templates to be cleaned",
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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": "quotation"
        }
      ],
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      ],
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        [
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      "raw_glosses": [
        "(mathematics) Related by an isomorphism; having a structure-preserving one-to-one correspondence."
      ],
      "tags": [
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        "mathematics",
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    {
      "categories": [
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        "en:Biology"
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          "type": "quotation"
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      ],
      "glosses": [
        "Having a similar structure or function to something that is not related genetically or through evolution."
      ],
      "links": [
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          "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": "quotation"
        }
      ],
      "glosses": [
        "Having identical relevant structure; being structure-preserving while undergoing certain invertible transformations."
      ],
      "links": [
        [
          "structure",
          "structure"
        ],
        [
          "invertible",
          "invertible"
        ],
        [
          "transformation",
          "transformation"
        ]
      ],
      "tags": [
        "not-comparable"
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    }
  ],
  "sounds": [
    {
      "ipa": "/ˌaɪ.səˈmɔː.fɪk/",
      "tags": [
        "UK"
      ]
    },
    {
      "ipa": "/ˌaɪ.soʊˈmɔɹ.fɪk/",
      "tags": [
        "US"
      ]
    },
    {
      "rhymes": "-ɔː(ɹ)fɪk"
    },
    {
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      "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",
      "tags": [
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    {
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      "tags": [
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    {
      "enpr": "īsəmô'fĭk"
    },
    {
      "enpr": "īsōmôr'fĭk"
    }
  ],
  "translations": [
    {
      "code": "ca",
      "lang": "Catalan",
      "sense": "(mathematics) related by an isomorphism",
      "word": "isomòrfic"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "sense": "(mathematics) related by an isomorphism",
      "word": "同構"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "tónggòu",
      "sense": "(mathematics) related by an isomorphism",
      "word": "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"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-01 from the enwiktionary dump dated 2024-04-21 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.