"Minkowski-Bouligand dimension" meaning in All languages combined

See Minkowski-Bouligand dimension on Wiktionary

Noun [English]

Forms: Minkowski-Bouligand dimensions [plural]
Etymology: Named after the Polish mathematician Hermann Minkowski and the French mathematician Georges Bouligand. Head templates: {{en-noun}} Minkowski-Bouligand dimension (plural Minkowski-Bouligand dimensions)
  1. (geometry) A way of determining the fractal dimension of a set in a Euclidean space, or more generally in a metric space. It may be visualized by imagining the fractal lying on an evenly-spaced grid and counting how many boxes are required to cover the set. The dimension is then calculated by seeing how this number changes as the grid is made finer. Categories (topical): Geometry Synonyms: box-counting dimension, Minkowski dimension
    Sense id: en-Minkowski-Bouligand_dimension-en-noun-6e2FMs86 Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: geometry, mathematics, sciences

Inflected forms

{
  "etymology_text": "Named after the Polish mathematician Hermann Minkowski and the French mathematician Georges Bouligand.",
  "forms": [
    {
      "form": "Minkowski-Bouligand dimensions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Minkowski-Bouligand dimension (plural Minkowski-Bouligand dimensions)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
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          "name": "Pages with 1 entry",
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          "source": "w"
        },
        {
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          "name": "Pages with entries",
          "parents": [],
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Geometry",
          "orig": "en:Geometry",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A way of determining the fractal dimension of a set in a Euclidean space, or more generally in a metric space. It may be visualized by imagining the fractal lying on an evenly-spaced grid and counting how many boxes are required to cover the set. The dimension is then calculated by seeing how this number changes as the grid is made finer."
      ],
      "id": "en-Minkowski-Bouligand_dimension-en-noun-6e2FMs86",
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "fractal dimension",
          "fractal dimension"
        ],
        [
          "set",
          "set"
        ],
        [
          "Euclidean space",
          "Euclidean space"
        ],
        [
          "metric space",
          "metric space"
        ]
      ],
      "raw_glosses": [
        "(geometry) A way of determining the fractal dimension of a set in a Euclidean space, or more generally in a metric space. It may be visualized by imagining the fractal lying on an evenly-spaced grid and counting how many boxes are required to cover the set. The dimension is then calculated by seeing how this number changes as the grid is made finer."
      ],
      "synonyms": [
        {
          "word": "box-counting dimension"
        },
        {
          "word": "Minkowski dimension"
        }
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Minkowski-Bouligand dimension"
}
{
  "etymology_text": "Named after the Polish mathematician Hermann Minkowski and the French mathematician Georges Bouligand.",
  "forms": [
    {
      "form": "Minkowski-Bouligand dimensions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Minkowski-Bouligand dimension (plural Minkowski-Bouligand dimensions)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Geometry"
      ],
      "glosses": [
        "A way of determining the fractal dimension of a set in a Euclidean space, or more generally in a metric space. It may be visualized by imagining the fractal lying on an evenly-spaced grid and counting how many boxes are required to cover the set. The dimension is then calculated by seeing how this number changes as the grid is made finer."
      ],
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "fractal dimension",
          "fractal dimension"
        ],
        [
          "set",
          "set"
        ],
        [
          "Euclidean space",
          "Euclidean space"
        ],
        [
          "metric space",
          "metric space"
        ]
      ],
      "raw_glosses": [
        "(geometry) A way of determining the fractal dimension of a set in a Euclidean space, or more generally in a metric space. It may be visualized by imagining the fractal lying on an evenly-spaced grid and counting how many boxes are required to cover the set. The dimension is then calculated by seeing how this number changes as the grid is made finer."
      ],
      "synonyms": [
        {
          "word": "box-counting dimension"
        },
        {
          "word": "Minkowski dimension"
        }
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Minkowski-Bouligand dimension"
}

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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 2024-12-15 from the enwiktionary dump dated 2024-12-04 using wiktextract (8a39820 and 4401a4c). 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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