supremum

supremum
supremum ("supreemum"), pienin yläraja (sup)

English-Finnish mathematical dictionary. 2011.

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  • Supremum —   [lateinisch »das oberste«] das, s/...ma, obere Grenze, Mathematik: die kleinste obere Schranke. Ist M eine geordnete Menge und N eine nichtleere Teilmenge von M, so heißt …   Universal-Lexikon

  • supremum — ● supremum nom masculin En algèbre, synonyme de borne supérieure. ● supremum (synonymes) nom masculin Synonymes : borne supérieure …   Encyclopédie Universelle

  • Supremum — In mathematics, given a subset S of a partially ordered set T , the supremum (sup) of S , if it exists, is the least element of T that is greater than or equal to each element of S . Consequently, the supremum is also referred to as the least… …   Wikipedia

  • Supremum — Die Bildmenge der abgebildeten Funktion ist beschränkt, damit ist auch die Funktion beschränkt. In der Mathematik treten die Begriffe Supremum, Infimum, obere/untere Schranke, nach oben/unten beschränkt bei der Untersuchung halbgeordneter Mengen… …   Deutsch Wikipedia

  • supremum — /seuh pree meuhm, soo /, n. Math. See least upper bound. Also called sup. [ < NL supremum, n. use of neut. of L supremus SUPREME1] * * * …   Universalium

  • supremum — noun (of a subset) the least element of the containing set that is greater or equal to all elements of the subset. The supremum may or may not be a member of the subset. Syn: least upper bound Ant: infimum …   Wiktionary

  • Supremum — Su|pre|mum das; s, ...ma <aus lat. supremum »Oberstes«, substantiviertes Neutr. von supremus »oberster«> obere Grenze, kleinste obere Schranke einer Menge von Zahlen (Math.) …   Das große Fremdwörterbuch

  • supremum — /seuh pree meuhm, soo /, n. Math. See least upper bound. Also called sup. [ < NL supremum, n. use of neut. of L supremus SUPREME1] …   Useful english dictionary

  • supremum — [su: pri:məm] noun Mathematics the smallest quantity that is greater than or equal to each of a given set or subset of quantities. The opposite of infimum. Origin 1940s: from L. suppremum highest part …   English new terms dictionary

  • Supremum — Su|pre|mum, das; s, ...ma <lateinisch> (Mathematik obere Grenze einer beschränkten Menge) …   Die deutsche Rechtschreibung

  • Essential supremum and essential infimum — In mathematics, the concepts of essential supremum and essential infimum are related to the notions of supremum and infimum, but the former are more relevant in measure theory, where one often deals with statements which are not valid everywhere …   Wikipedia

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