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ordered subset

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  • Ordered subset expectation maximization — This article is about an algorithm. For Israeli food corporation, see Osem (company). In mathematical optimization, the ordered subset expectation maximization (OSEM) method is an iterative method that is used in computed tomography. In… …   Wikipedia

  • Subset — In mathematics, especially in set theory, a set A is a subset of a set B if A is contained inside B . Notice that A and B may coincide. The relationship of one set being a subset of another is called inclusion.DefinitionsIf A and B are sets and… …   Wikipedia

  • Ordered pair — In mathematics, an ordered pair (a, b) is a pair of mathematical objects. In the ordered pair (a, b), the object a is called the first entry, and the object b the second entry of the pair. Alternatively, the objects are called the first and… …   Wikipedia

  • Ordered field — In mathematics, an ordered field is a field together with a total ordering of its elements that is compatible with the field operations. Historically, the axiomatization of an ordered field was abstracted gradually from the real numbers, by… …   Wikipedia

  • Ordered vector space — A point x in R2 and the set of all y such that x≤y (in red). The order here is x≤y if and only if x1 ≤ y1 and x2 ≤ y2. In mathematics an ordered vector space or partially ordered vector space is a vector space equi …   Wikipedia

  • Ordered group — In abstract algebra, an ordered group is a group (G,+) equipped with a partial order ≤ which is translation invariant ; in other words, ≤ has the property that, for all a , b , and g in G , if a ≤ b then a+g ≤ b+g and g+a ≤ g+b . Note that… …   Wikipedia

  • Ordered set — In order theory in mathematics, a set with a binary relation R on its elements that is reflexive (for all a in the set, aRa), antisymmetric (if aRb and bRa, then a = b) and transitive (if aRb and bRc, then aRc) is described as a… …   Wikipedia

  • ordered field — Math. a field containing a subset of elements closed under addition and multiplication and having the property that every element in the field is either zero, in the subset, or has its additive inverse in the subset. [1940 45] * * * …   Universalium

  • ordered field — Math. a field containing a subset of elements closed under addition and multiplication and having the property that every element in the field is either zero, in the subset, or has its additive inverse in the subset. [1940 45] …   Useful english dictionary

  • Partially ordered set — The Hasse diagram of the set of all subsets of a three element set {x, y, z}, ordered by inclusion. In mathematics, especially order theory, a partially ordered set (or poset) formalizes and generalizes the intuitive concept of an ordering,… …   Wikipedia

  • well-ordered set — Math. a totally ordered set in which every nonempty subset has a smallest element with the property that there is no element in the subset less than this smallest element. Cf. partially ordered set, totally ordered set. * * * …   Universalium

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