"isometry" meaning in All languages combined

See isometry on Wiktionary

Noun [English]

Forms: isometries [plural]
Etymology: From New Latin isometria, from Ancient Greek ἰσομετρία (isometría), from ἰσο- (iso-) + -μετρία (-metría), from ἴσος (ísos, “equal”) and μέτρον (métron, “measurement”) + -ια (-ia, “-y”). Equivalent to iso- + -metry. Etymology templates: {{der|en|NL.|isometria}} New Latin isometria, {{der|en|grc|ἰσομετρία}} Ancient Greek ἰσομετρία (isometría), {{confix|en|iso|metry}} iso- + -metry Head templates: {{en-noun}} isometry (plural isometries)
  1. (mathematics) A function between metric spaces (or on a single metric space) having the property that the distance between two images is equal to the distance between their preimages. Wikipedia link: isometry Categories (topical): Mathematics Derived forms: quasiisometry Related terms: isometric, isometer, isometrograph Translations (A function): isometrie (Dutch), isometria (Finnish), isométrie [feminine] (French), Isometrie [feminine] (German), איזומטריה (izométria) [feminine] (Hebrew), egybevágósági transzformáció (Hungarian), isometria [feminine] (Italian), isometria [feminine] (Latin), isometria [feminine] (Portuguese), isometría [feminine] (Spanish), isometri [common-gender] (Swedish)

Inflected forms

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    {
      "args": {
        "1": "en",
        "2": "NL.",
        "3": "isometria"
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      "expansion": "New Latin isometria",
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        "2": "grc",
        "3": "ἰσομετρία"
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  "etymology_text": "From New Latin isometria, from Ancient Greek ἰσομετρία (isometría), from ἰσο- (iso-) + -μετρία (-metría), from ἴσος (ísos, “equal”) and μέτρον (métron, “measurement”) + -ια (-ia, “-y”). Equivalent to iso- + -metry.",
  "forms": [
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          "word": "quasiisometry"
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        {
          "text": "Isometry is to metric spaces what isomorphism is to groups.",
          "type": "example"
        }
      ],
      "glosses": [
        "A function between metric spaces (or on a single metric space) having the property that the distance between two images is equal to the distance between their preimages."
      ],
      "id": "en-isometry-en-noun-4oXTeXf7",
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        ],
        [
          "distance",
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          "preimage",
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      "raw_glosses": [
        "(mathematics) A function between metric spaces (or on a single metric space) having the property that the distance between two images is equal to the distance between their preimages."
      ],
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          "word": "isometrograph"
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          "code": "nl",
          "lang": "Dutch",
          "sense": "A function",
          "word": "isometrie"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "A function",
          "word": "isometria"
        },
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          "code": "fr",
          "lang": "French",
          "sense": "A function",
          "tags": [
            "feminine"
          ],
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        },
        {
          "code": "de",
          "lang": "German",
          "sense": "A function",
          "tags": [
            "feminine"
          ],
          "word": "Isometrie"
        },
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          "code": "he",
          "lang": "Hebrew",
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          "sense": "A function",
          "tags": [
            "feminine"
          ],
          "word": "איזומטריה"
        },
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          "code": "hu",
          "lang": "Hungarian",
          "sense": "A function",
          "word": "egybevágósági transzformáció"
        },
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          "code": "it",
          "lang": "Italian",
          "sense": "A function",
          "tags": [
            "feminine"
          ],
          "word": "isometria"
        },
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          "code": "la",
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          ],
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            "feminine"
          ],
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          "code": "es",
          "lang": "Spanish",
          "sense": "A function",
          "tags": [
            "feminine"
          ],
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          "lang": "Swedish",
          "sense": "A function",
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          ],
          "word": "isometri"
        }
      ],
      "wikipedia": [
        "isometry"
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    }
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  "word": "isometry"
}
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  "forms": [
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      "word": "isometric"
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      "word": "isometer"
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      "word": "isometrograph"
    }
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      ],
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        "mathematics",
        "sciences"
      ],
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      "code": "nl",
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      "sense": "A function",
      "word": "isometrie"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "A function",
      "word": "isometria"
    },
    {
      "code": "fr",
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      "sense": "A function",
      "tags": [
        "feminine"
      ],
      "word": "isométrie"
    },
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      "code": "de",
      "lang": "German",
      "sense": "A function",
      "tags": [
        "feminine"
      ],
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    },
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      "code": "he",
      "lang": "Hebrew",
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      "sense": "A function",
      "tags": [
        "feminine"
      ],
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    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "A function",
      "word": "egybevágósági transzformáció"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "A function",
      "tags": [
        "feminine"
      ],
      "word": "isometria"
    },
    {
      "code": "la",
      "lang": "Latin",
      "sense": "A function",
      "tags": [
        "feminine"
      ],
      "word": "isometria"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "A function",
      "tags": [
        "feminine"
      ],
      "word": "isometria"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "A function",
      "tags": [
        "feminine"
      ],
      "word": "isometría"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "A function",
      "tags": [
        "common-gender"
      ],
      "word": "isometri"
    }
  ],
  "word": "isometry"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.