algebra of partitions

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• Incidence algebra — In order theory, a field of mathematics, an incidence algebra is an associative algebra, defined for any locally finite partially ordered set and commutative ring with unity. Contents 1 Definition 1.1 Related concepts 2 Special elements …   Wikipedia

• New algebra — The new algebra or symbolic analysis is a formalization of algebra promoted by François Viète in 1591 and by his successors (after 1603). It marks the beginning of the algebraic formalization (late sixteenth the early seventeenth centuries).… …   Wikipedia

• Nuclear C*-algebra — In mathematics, a nuclear C* algebra is a C* algebra A such that the injective and projective C* cross norms on A⊗B are the same for every C* algebra B. These were first studied by Takesaki (1964) under the name Property T (this is unconnected… …   Wikipedia

• Differentiable manifold — A nondifferentiable atlas of charts for the globe. The results of calculus may not be compatible between charts if the atlas is not differentiable. In the middle chart the Tropic of Cancer is a smooth curve, whereas in the first it has a sharp… …   Wikipedia

• Integral — This article is about the concept of integrals in calculus. For the set of numbers, see integer. For other uses, see Integral (disambiguation). A definite integral of a function can be represented as the signed area of the region bounded by its… …   Wikipedia

• Combinatorics — is a branch of mathematics concerning the study of finite or countable discrete structures. Aspects of combinatorics include counting the structures of a given kind and size (enumerative combinatorics), deciding when certain criteria can be met,… …   Wikipedia

• combinatorics — /keuhm buy neuh tawr iks, tor , kom beuh /, n. (used with singular v.) See combinatorial analysis. * * * Branch of mathematics concerned with the selection, arrangement, and combination of objects chosen from a finite set. The number of possible… …   Universalium

• Symmetric group — Not to be confused with Symmetry group. A Cayley graph of the symmetric group S4 …   Wikipedia

• Lattice (order) — See also: Lattice (group) The name lattice is suggested by the form of the Hasse diagram depicting it. Shown here is the lattice of partitions of a four element set {1,2,3,4}, ordered by the relation is a refinement of . In mathematics, a… …   Wikipedia

• Block matrix — In the mathematical discipline of matrix theory, a block matrix or a partitioned matrix is a matrix broken into sections called blocks. Looking at it another way, the matrix is written in terms of smaller matrices.[1] We group the rows and… …   Wikipedia

• Discrete mathematics — For the mathematics journal, see Discrete Mathematics (journal). Graphs like this are among the objects studied by discrete mathematics, for their interesting mathematical properties, their usefulness as models of real world problems, and their… …   Wikipedia