elementary set

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• Set theory — This article is about the branch of mathematics. For musical set theory, see Set theory (music). A Venn diagram illustrating the intersection of two sets. Set theory is the branch of mathematics that studies sets, which are collections of objects …   Wikipedia

• Set of all sets — In set theory as usually formulated, referring to the set of all sets typically leads to a paradox. The reason for this is the form of Zermelo s axiom of separation: for anyformula varphi(x) and set A, the set {x in A mid varphi(x)}which contains …   Wikipedia

• Set-theoretic definition of natural numbers — Several ways have been proposed to define the natural numbers using set theory.The contemporary standardIn standard (ZF) set theory the natural numbersare defined recursively by 0 = {} (the empty set) and n +1 = n ∪ { n }. Then n = {0,1,..., n… …   Wikipedia

• Elementary — Elementary: *Education ** Elementary education, consists of the first years of formal, structured education that occur during childhood. **Elementary school, a school providing elementary or primary education. Historically, a school in the UK… …   Wikipedia

• Elementary algebra — is a fundamental and relatively basic form of algebra taught to students who are presumed to have little or no formal knowledge of mathematics beyond arithmetic. It is typically taught in secondary school under the term algebra. The major… …   Wikipedia

• Set Svanholm — (2 September 1904 ndash; 4 October 1964) was a Swedish operatic tenor, considered the leading Tristan and Siegfried of the first decade following World War II. [Rosenthal, H. and Warrack, J., 1979] Svanholm began his musical career at the age of… …   Wikipedia

• Elementary class — In the branch of mathematical logic called model theory, an elementary class (or axiomatizable class) is a class consisting of all structures satisfying a fixed first order theory. Contents 1 Definition 2 Conflicting and alternative terminology …   Wikipedia

• set theory — the branch of mathematics that deals with relations between sets. [1940 45] * * * Branch of mathematics that deals with the properties of sets. It is most valuable as applied to other areas of mathematics, which borrow from and adapt its… …   Universalium

• Elementary symmetric polynomial — In mathematics, specifically in commutative algebra, the elementary symmetric polynomials are one type of basic building block for symmetric polynomials, in the sense that any symmetric polynomial P can be expressed as a polynomial in elementary… …   Wikipedia

• Elementary matrix — In mathematics, an elementary matrix is a simple matrix which differs from the identity matrix in a minimal way. The elementary matrices generate the general linear group of invertible matrices, and left (respectively, right) multiplication by an …   Wikipedia

• ELEMENTARY — In computational complexity theory, the complexity class ELEMENTARY is the union of the classes in the exponential hierarchy.: egin{matrix} m{ELEMENTARY} = m{EXP}cup m{2EXP}cup m{3EXP}cupcdots = m{DTIME}(2^{n})cup m{DTIME}(2^{2^{n)cup… …   Wikipedia