See essential infimum on Wiktionary
{ "antonyms": [ { "sense": "antonym(s) of “infimum valid almost everywhere”", "word": "essential supremum" } ], "forms": [ { "form": "essential infima", "tags": [ "plural" ] } ], "head_templates": [ { "args": { "1": "essential infima" }, "expansion": "essential infimum (plural essential infima)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ { "kind": "other", "name": "English entries with incorrect language header", "parents": [], "source": "w" }, { "kind": "other", "name": "Entries with translation boxes", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "other", "langcode": "en", "name": "Mathematical analysis", "orig": "en:Mathematical analysis", "parents": [], "source": "w" } ], "glosses": [ "The infimum (greatest lower bound) of a function which holds almost everywhere. In symbols, ess inf f= sup m:μ(x:f(x)<m)=0." ], "id": "en-essential_infimum-en-noun-z1VLxmaH", "links": [ [ "mathematical analysis", "mathematical analysis" ], [ "infimum", "infimum" ], [ "function", "function" ], [ "almost everywhere", "almost everywhere" ] ], "raw_glosses": [ "(mathematical analysis) The infimum (greatest lower bound) of a function which holds almost everywhere. In symbols, ess inf f= sup m:μ(x:f(x)<m)=0." ], "topics": [ "mathematical-analysis", "mathematics", "sciences" ], "wikipedia": [ "Essential supremum and essential infimum" ] } ], "word": "essential infimum" }
{ "antonyms": [ { "sense": "antonym(s) of “infimum valid almost everywhere”", "word": "essential supremum" } ], "forms": [ { "form": "essential infima", "tags": [ "plural" ] } ], "head_templates": [ { "args": { "1": "essential infima" }, "expansion": "essential infimum (plural essential infima)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ "English countable nouns", "English entries with incorrect language header", "English lemmas", "English multiword terms", "English nouns", "Entries with translation boxes", "Pages with 1 entry", "Pages with entries", "en:Mathematical analysis" ], "glosses": [ "The infimum (greatest lower bound) of a function which holds almost everywhere. In symbols, ess inf f= sup m:μ(x:f(x)<m)=0." ], "links": [ [ "mathematical analysis", "mathematical analysis" ], [ "infimum", "infimum" ], [ "function", "function" ], [ "almost everywhere", "almost everywhere" ] ], "raw_glosses": [ "(mathematical analysis) The infimum (greatest lower bound) of a function which holds almost everywhere. In symbols, ess inf f= sup m:μ(x:f(x)<m)=0." ], "topics": [ "mathematical-analysis", "mathematics", "sciences" ], "wikipedia": [ "Essential supremum and essential infimum" ] } ], "word": "essential infimum" }
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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 2025-05-27 from the enwiktionary dump dated 2025-05-20 using wiktextract (a4e883e and f1c2b61). 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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