See homomesy on Wiktionary
{ "head_templates": [ { "args": { "1": "?" }, "expansion": "homomesy", "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": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "examples": [ { "ref": "2015, David B. Rush, Kelvin Wang, “On Orbits of Order Ideals of Minuscule Posets II: Homomesy”, in arXiv:", "text": "After recourse to work of Rush and Shi mapping the anatomy of the lattice isomorphism, the upshot is a uniform proof that the cardinality statistic exhibits homomesy. A further application of these ideas shows that the statistic tracking the number of maximal elements in an order ideal is also homomesic, extending another result of Propp and Roby..", "type": "quote" } ], "glosses": [ "The property of a set where all orbit averages are equal to the global average." ], "id": "en-homomesy-en-noun-YHHpAO2V", "links": [ [ "mathematics", "mathematics" ], [ "orbit", "orbit" ], [ "average", "average" ], [ "global", "global" ] ], "raw_glosses": [ "(mathematics) The property of a set where all orbit averages are equal to the global average." ], "related": [ { "word": "homomesic" } ], "topics": [ "mathematics", "sciences" ] } ], "word": "homomesy" }
{ "head_templates": [ { "args": { "1": "?" }, "expansion": "homomesy", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "related": [ { "word": "homomesic" } ], "senses": [ { "categories": [ "English countable nouns", "English entries with incorrect language header", "English lemmas", "English nouns", "English nouns with unknown or uncertain plurals", "English terms with quotations", "Pages with 1 entry", "Pages with entries", "en:Mathematics" ], "examples": [ { "ref": "2015, David B. Rush, Kelvin Wang, “On Orbits of Order Ideals of Minuscule Posets II: Homomesy”, in arXiv:", "text": "After recourse to work of Rush and Shi mapping the anatomy of the lattice isomorphism, the upshot is a uniform proof that the cardinality statistic exhibits homomesy. A further application of these ideas shows that the statistic tracking the number of maximal elements in an order ideal is also homomesic, extending another result of Propp and Roby..", "type": "quote" } ], "glosses": [ "The property of a set where all orbit averages are equal to the global average." ], "links": [ [ "mathematics", "mathematics" ], [ "orbit", "orbit" ], [ "average", "average" ], [ "global", "global" ] ], "raw_glosses": [ "(mathematics) The property of a set where all orbit averages are equal to the global average." ], "topics": [ "mathematics", "sciences" ] } ], "word": "homomesy" }
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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.
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