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nonnegative operator

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  • Operator theory — In mathematics, operator theory is the branch of functional analysis that focuses on bounded linear operators, but which includes closed operators and nonlinear operators. Operator theory also includes the study of algebras of operators. Contents …   Wikipedia

  • Nonnegative matrix — A nonnegative matrix is a matrix in which all the elements are equal to or greater than zero A positive matrix is a matrix in which all the elements are greater than zero. The set of positive matrices is a subset of all non negative matrices. A… …   Wikipedia

  • Hyper operator — Articleissues OR=September 2008The hyper operators forming the hyper n family are related to Knuth s up arrow notation and Conway chained arrow notation as follows: extrm{hyper} n (a, b) = extrm{hyper}(a,n,b) = a uparrow^{n 2} b = a o b o (n 2)… …   Wikipedia

  • John von Neumann — Von Neumann redirects here. For other uses, see Von Neumann (disambiguation). The native form of this personal name is Neumann János. This article uses the Western name order. John von Neumann …   Wikipedia

  • Perron–Frobenius theorem — In linear algebra, the Perron–Frobenius theorem, proved by Oskar Perron (1907) and Georg Frobenius (1912), asserts that a real square matrix with positive entries has a unique largest real eigenvalue and that the corresponding… …   Wikipedia

  • Mercer's theorem — In mathematics, specifically functional analysis, Mercer s theorem is a representation of a symmetric positive definite function on a square as a sum of a convergent sequence of product functions. This theorem, presented in (Mercer 1909), is one… …   Wikipedia

  • Singular value decomposition — Visualization of the SVD of a 2 dimensional, real shearing matrix M. First, we see the unit disc in blue together with the two canonical unit vectors. We then see the action of M, which distorts the disk to an ellipse. The SVD decomposes M into… …   Wikipedia

  • Primitive recursive function — The primitive recursive functions are defined using primitive recursion and composition as central operations and are a strict subset of the recursive functions (recursive functions are also known as computable functions). The term was coined by… …   Wikipedia

  • Hamburger moment problem — In mathematics, the Hamburger moment problem, named after Hans Ludwig Hamburger, is formulated as follows: given a sequence { αn : n = 1, 2, 3, ... }, does there exist a positive Borel measure μ on the real line such that:alpha n = int {… …   Wikipedia

  • Operation (mathematics) — The general operation as explained on this page should not be confused with the more specific operators on vector spaces. For a notion in elementary mathematics, see arithmetic operation. In its simplest meaning in mathematics and logic, an… …   Wikipedia

  • Modulo operation — Quotient (red) and remainder (green) functions using different algorithms. In computing, the modulo operation finds the remainder of division of one number by another. Given two positive numbers, a (the dividend) and n (the divisor), a modulo n… …   Wikipedia

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