See Hausdorff content on Wiktionary
{ "forms": [ { "form": "Hausdorff contents", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "Hausdorff content (plural Hausdorff contents)", "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" } ], "examples": [ { "text": "The d-dimensional Hausdorff content of a set is a measure of the size of that set in the dᵗʰ dimension." }, { "text": "The 0-dimensional Hausdorff content of a set is the number of points in that set." } ], "glosses": [ "the d-dimensional Hausdorff content of S is defined by C_Hᵈ(S):= lim _(sup ᵢr_i→0) inf Bigl ∑ᵢr_iᵈ:thereisacoverofSbyballswithradiir_i>0 Bigr." ], "id": "en-Hausdorff_content-en-noun-5vdC2sTH", "related": [ { "word": "Hausdorff dimension" } ] } ], "word": "Hausdorff content" }
{ "forms": [ { "form": "Hausdorff contents", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "Hausdorff content (plural Hausdorff contents)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "related": [ { "word": "Hausdorff dimension" } ], "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" ], "examples": [ { "text": "The d-dimensional Hausdorff content of a set is a measure of the size of that set in the dᵗʰ dimension." }, { "text": "The 0-dimensional Hausdorff content of a set is the number of points in that set." } ], "glosses": [ "the d-dimensional Hausdorff content of S is defined by C_Hᵈ(S):= lim _(sup ᵢr_i→0) inf Bigl ∑ᵢr_iᵈ:thereisacoverofSbyballswithradiir_i>0 Bigr." ] } ], "word": "Hausdorff content" }
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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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