projection set

  • 31Cylinder 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 …

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  • 32Spherical projection — Spherical Spher ic*al, Spheric Spher ic, a. [L. sphaericus, Gr. ???: cf. F. sph[ e]rique.] 1. Having the form of a sphere; like a sphere; globular; orbicular; as, a spherical body. [1913 Webster] 2. Of or pertaining to a sphere. [1913 Webster] 3 …

    The Collaborative International Dictionary of English

  • 33Cylinder set — In mathematics, a cylinder set is the natural open set of a product topology. Cylinder sets are particularly useful in providing the base of the natural topology of the product of a countable number of copies of a set. If V is a finite set, then… …

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  • 34Suslin set — The concept of a Suslin set was first used by Mikhail Yakovlevich Suslin when he was researching the properties of projections of Borel sets in R^2 onto the real axis. Lebesgue believed he had proved that such a projection was also a Borel set,… …

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  • 35Free regular set — In mathematics, a free regular set is a subset of a topological space that is acted upon disjointly under a given group action. To be more precise, let X be a topological space. Let G be a group of homeomorphisms from X to X. Then we say that the …

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  • 36Tree (descriptive set theory) — In descriptive set theory, a tree on a set X is a set of finite sequences of elements of X that is closed under subsequences. More formally, it is a subset T of X^{ …

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  • 37Complete set of commuting observables — In quantum mechanics, a complete set of commuting observables (CSCO) is a set of commuting operators whose eigenvalues completely specify the state of a system (Gasiorowicz 1974, p. 119). For example, in the case of the hydrogen atom, the… …

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  • 38Dykstra's projection algorithm — Not to be confused with Dijkstra s algorithm. Dykstra s algorithm is a method that computes a point in the intersection of convex sets, and is a variant of the alternating projection method. In its simplest form, the method finds a point in the… …

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  • 39Semialgebraic set — In mathematics, a semialgebraic set is a subset S of real n dimensional space defined by a finite sequence of polynomial equations and inequalities; or any finite union of such sets. Such sets are studied as an extension of real algebraic… …

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  • 40Universally Baire set — In the mathematical field of descriptive set theory, a set of reals (or subset of the Baire space or Cantor space) is called universally Baire if it has a certain strong regularity property. Universally Baire sets play an important role in Ω… …

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