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set of generating elements

См. также в других словарях:

  • 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

  • Generating set — In mathematics, the expressions generator, generate, generated by and generating set can have several closely related technical meanings: * Generating set of an algebra: If A is a ring and B is an A algebra, then S generates B if the only sub A… …   Wikipedia

  • Generating set of a group — In abstract algebra, a generating set of a group is a subset that is not contained in any proper subgroup of the group. Equivalently, a generating set of a group is a subset such that every element of the group can be expressed as the combination …   Wikipedia

  • Generating set of a topological algebra — A generating set S of a topological algebra (e.g., a Banach algebra) A is a subset of A such that the smallest closed subalgebra of A containing S is A itself.Since polynomials are dense in the set C [0,1] of continuous functions on the interval… …   Wikipedia

  • Partition of a set — In mathematics, a partition of a set X is a division of X into non overlapping parts or blocks or cells that cover all of X . More formally, these cells are both collectively exhaustive and mutually exclusive with respect to the set being… …   Wikipedia

  • Examples of generating functions — The following examples are in the spirit of George Pólya, who advocated learning mathematics by doing and re capitulating as many examples and proofs as possible. The purpose of this article is to present common tricks of the trade in context, so …   Wikipedia

  • List of fictional elements, materials, isotopes and atomic particles — This list contains chemical elements, materials, isotopes or (sub)atomic particle that exist primarily in works of fiction (usually fantasy or science fiction). No actual periodic elements end in ite , though many minerals have names with this… …   Wikipedia

  • Stirling numbers and exponential generating functions — The use of exponential generating functions or EGFs to study the properties of Stirling numbers is a classical exercise in combinatorics and possibly the canonical example of how symbolic combinatorics, the method that encapsulates the… …   Wikipedia

  • Maximal independent set — This article is about the combinatorial aspects of maximal independent sets of vertices in a graph. For other aspects of independent vertex sets in graph theory, see Independent set (graph theory). For other kinds of independent sets, see… …   Wikipedia

  • Borel set — In mathematics, a Borel set is any set in a topological space that can be formed from open sets (or, equivalently, from closed sets) through the operations of countable union, countable intersection, and relative complement. Borel sets are named… …   Wikipedia

  • Dominance-based Rough Set Approach — (DRSA) is an extension of rough set theory for Multi Criteria Decision Analysis (MCDA), introduced by Greco, Matarazzo and Słowiński Greco, S., Matarazzo, B., Słowiński, R.: Rough sets theory for multicriteria decision analysis. European Journal… …   Wikipedia

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