generating set

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• 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

• Strong generating set — Let G leq S n be a permutation group. Let : B = (eta 1, eta 2, ldots, eta r) be a sequence of distinct integers, eta i in { 1, 2, ldots, n } , such that the pointwise stabilizer of B is trivial (ie: let B be a base for G ). Define : B i =… …   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

• Generating strings — In computer science generating strings is one of the names given to the process of creating a set of strings from some collection of rules. This is the opposite process to that used when parsing, which recognises a string based on some collection …   Wikipedia

• Set point —   Scheduled operating level for each generating unit or other resource scheduled to run in the Hour ahead Schedule.   California Energy Comission. Dictionary of Energy Terms …   Energy terms

• 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

• 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

• Hearn Generating Station — The Richard L Hearn Generating Station (named after Richard L Hearn) is an out of service electrical generating station in Toronto. It is still owned by Ontario Power Generation, a publicly owned electrical generation company.The site of the… …   Wikipedia