separable set
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Separable space — In mathematics a topological space is called separable if it contains a countable dense subset; that is, there exists a sequence { x n } {n=1}^{infty} of elements of the space such that every nonempty open subset of the space contains at least… … Wikipedia
Separable states — In quantum mechanics, separable quantum states are states without quantum entanglement. Separable pure states For simplicity, the following assumes all relevant state spaces are finite dimensional. First, consider separability for pure states.… … Wikipedia
Separable extension — In mathematics, an algebraic field extension L / K is separable if it can be generated by adjoining to K a set each of whose elements is a root of a separable polynomial over K . In that case, each beta; in L has a separable minimal polynomial… … Wikipedia
Separable partial differential equation — A separable partial differential equation (PDE) is one that can be broken into a set of separate equations of lower dimensionality (fewer independent variables) by a method of separation of variables. This generally relies upon the problem having … Wikipedia
Separable sigma algebra — In mathematics, sigma; algebras are usually studied in the context of measure theory. A separable sigma; algebra (or separable sigma; field) is a sigma algebra that can be generated by a countable collection of sets. To learn what is meant by the … Wikipedia
Effectively separable — In computability theory, two sets of natural numbers are effectively separable if it is possible to separate the sets with a computable set, and effectively inseparable otherwise. Formal definitionLet A and B be disjoint sets of natural numbers.… … Wikipedia
Cylinder set measure — In mathematics, cylinder set measure (or promeasure, or premeasure, or quasi measure, or CSM) is a kind of prototype for a measure on an infinite dimensional vector space. An example is the Gaussian cylinder set measure on Hilbert space. Cylinder … Wikipedia
Random compact set — In mathematics, a random compact set is essentially a compact set valued random variable. Random compact sets are useful in the study of attractors for random dynamical systems. Definition Let (M,d) be a complete separable metric space. Let… … Wikipedia
Recursively enumerable set — In computability theory, traditionally called recursion theory, a set S of natural numbers is called recursively enumerable, computably enumerable, semidecidable, provable or Turing recognizable if: There is an algorithm such that the set of… … Wikipedia
Descriptive set theory — In mathematical logic, descriptive set theory is the study of certain classes of well behaved subsets of the real line and other Polish spaces. As well as being one of the primary areas of research in set theory, it has applications to other… … Wikipedia
Holomorphically separable — In mathematics in complex analysis, the concept of holomorphic separability is a measure forthe richness of the set of holomorphic functions on a complex manifold or complex space.Formal definitionA complex manifold or complex space X is said to… … Wikipedia
