See Minkowski-Bouligand dimension on Wiktionary
{ "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" }, { "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "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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