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finite partition

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  • Partition regular — In mathematics, the notion of partition regularity in combinatorics is one approach to explaining when a set system is quite large.Given a set X, a collection of subsets mathbb{S} subset mathcal{P}(X) is called partition regular if for any A in… …   Wikipedia

  • Partition function (statistical mechanics) — For other uses, see Partition function (disambiguation). Partition function describe the statistical properties of a system in thermodynamic equilibrium. It is a function of temperature and other parameters, such as the volume enclosing a gas.… …   Wikipedia

  • Partition (number theory) — Young diagrams associated to the partitions of the positive integers 1 through 8. They are so arranged that images under the reflection about the main diagonal of the square are conjugate partitions. In number theory and combinatorics, a… …   Wikipedia

  • Finite topological space — In mathematics, a finite topological space is a topological space for which the underlying point set is finite. That is, it is a topological space for which there are only finitely many points.While topology is mostly interesting only for… …   Wikipedia

  • Finite difference method — In mathematics, finite difference methods are numerical methods for approximating the solutions to differential equations using finite difference equations to approximate derivatives. Intuitive derivation Finite difference methods approximate the …   Wikipedia

  • Partition of an interval — In mathematics, a partition, P of an interval [a, b] on the real line is a finite sequence of the form a = x0 < x1 < x2 < ... < xn = b. Such partitions are used in the theory of the Riemann integral, the Riemann–Stieltjes integral and …   Wikipedia

  • Finite element method — The finite element method (FEM) (sometimes referred to as finite element analysis) is a numerical technique for finding approximate solutions of partial differential equations (PDE) as well as of integral equations. The solution approach is based …   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

  • Partition of unity — In mathematics, a partition of unity of a topological space X is a set of continuous functions, { ho i} {iin I}, from X to the unit interval [0,1] such that for every point, xin X, * there is a neighbourhood of x where all but a finite number of… …   Wikipedia

  • Noncrossing partition — A noncrossing partition of ten points In combinatorial mathematics, the topic of noncrossing partitions has assumed some importance because of (among other things) its application to the theory of free probability. The set of all noncrossing… …   Wikipedia

  • Markov partition — A Markov partition is a tool used in dynamical systems theory, allowing the methods of symbolic dynamics to be applied to the study of hyperbolic systems. By using a Markov partition, the system can be made to resemble a discrete time Markov… …   Wikipedia

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