About: Dense order

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Partial order where every two distinct comparable elements have another element between them

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dbo:description
  • mathematischer Begriff (de)
  • מושג בתורת הקבוצות (iw)
  • partial order where every two distinct comparable elements have another element between them (en)
  • Notion mathématique relative aux relations d'ordre (fr)
  • 임의의 비교 가능한 두 원소 사이에 다른 원소가 존재하는 부분 순서 (ko)
  • частковий порядок, у якому немає сусідніх елементів (uk)
  • delna urejenost, pri kateri je med vsakima dvema različna primerljivima elementoma še en element (sl)
dbo:wikiPageWikiLink
dbp:drop
  • hidden (en)
dbp:proof
  • For the element , due to the Archimedean property, if , there exists a largest integer with , and if , , and there exists a largest integer with . As a result, . For any two elements with , and . Therefore is dense. (en)
dbp:title
  • Proof (en)
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dct:subject
rdfs:label
  • Dense order (en)
  • Husté uspořádání (cs)
  • Dichte Ordnung (de)
  • Orden denso (es)
  • Ordre dense (fr)
  • Ordine denso (it)
  • 稠密関係 (ja)
  • 조밀 순서 (ko)
  • Плотный порядок (ru)
  • Щільний порядок (uk)
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