"isometry" meaning in English

See isometry in All languages combined, or Wiktionary

Noun

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), {{m|grc|ἰσο-}} ἰσο- (iso-), {{m|grc|-μετρία}} -μετρία (-metría), {{m|grc|ἴσος||equal}} ἴσος (ísos, “equal”), {{m|grc|μέτρον||measurement}} μέτρον (métron, “measurement”), {{m|grc|-ια||-y}} -ια (-ia, “-y”), {{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

Download JSON data for isometry meaning in English (4.1kB)

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      "args": {
        "1": "en",
        "2": "NL.",
        "3": "isometria"
      },
      "expansion": "New Latin isometria",
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        {
          "text": "Isometry is to metric spaces what isomorphism is to groups."
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        "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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      "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."
      ],
      "related": [
        {
          "word": "isometric"
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      "translations": [
        {
          "code": "nl",
          "lang": "Dutch",
          "sense": "A function",
          "word": "isometrie"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "A function",
          "word": "isometria"
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          "code": "fr",
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          "sense": "A function",
          "tags": [
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          "code": "de",
          "lang": "German",
          "sense": "A function",
          "tags": [
            "feminine"
          ],
          "word": "Isometrie"
        },
        {
          "code": "he",
          "lang": "Hebrew",
          "roman": "izométria",
          "sense": "A function",
          "tags": [
            "feminine"
          ],
          "word": "איזומטריה"
        },
        {
          "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"
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          "word": "isometria"
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          "code": "pt",
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          "word": "isometria"
        },
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          "code": "es",
          "lang": "Spanish",
          "sense": "A function",
          "tags": [
            "feminine"
          ],
          "word": "isometría"
        },
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          "code": "sv",
          "lang": "Swedish",
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          ],
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}
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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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      "form": "isometries",
      "tags": [
        "plural"
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        {
          "text": "Isometry is to metric spaces what isomorphism is to groups."
        }
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        "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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        "(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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        "mathematics",
        "sciences"
      ],
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    {
      "code": "nl",
      "lang": "Dutch",
      "sense": "A function",
      "word": "isometrie"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "A function",
      "word": "isometria"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "A function",
      "tags": [
        "feminine"
      ],
      "word": "isométrie"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "A function",
      "tags": [
        "feminine"
      ],
      "word": "Isometrie"
    },
    {
      "code": "he",
      "lang": "Hebrew",
      "roman": "izométria",
      "sense": "A function",
      "tags": [
        "feminine"
      ],
      "word": "איזומטריה"
    },
    {
      "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"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-05 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.

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