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strictly positive

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  • Strictly positive measure — In mathematics, strict positivity is a concept in measure theory. Intuitively, a strictly positive measure one that is nowhere zero , or that it is zero only on points .DefinitionLet ( X , T ) be a Hausdorff topological space and let Sigma; be a… …   Wikipedia

  • Positive hardcore — is a term used in the American hardcore scene to refer to the music of hardcore bands that are socially aware or focus on values such as being inclusive, community oriented, and anti violence. Many of these bands (and their fans) describe their… …   Wikipedia

  • Positive-definite matrix — In linear algebra, a positive definite matrix is a matrix that in many ways is analogous to a positive real number. The notion is closely related to a positive definite symmetric bilinear form (or a sesquilinear form in the complex case). The… …   Wikipedia

  • Negative and positive atheism — A diagram showing the relationship between the definitions of weak/strong and implicit/explicit atheism. Explicit strong/positive atheists (in purple on the right) assert that at least one deity exists is a false statement. Explicit weak/negative …   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

  • Convex function — on an interval. A function (in black) is convex if and only i …   Wikipedia

  • Strict — In mathematical writing, the adjective strict is used to modify technical terms which have multiple meanings. It indicates that the exclusive meaning of the term is to be understood. (More formally, one could say that this is the meaning which… …   Wikipedia

  • Cholesky decomposition — In linear algebra, the Cholesky decomposition or Cholesky triangle is a decomposition of a Hermitian, positive definite matrix into the product of a lower triangular matrix and its conjugate transpose. It was discovered by André Louis Cholesky… …   Wikipedia

  • Generalized mean — In mathematics, a generalized mean, also known as power mean or Hölder mean (named after Otto Hölder), is an abstraction of the Pythagorean means including arithmetic, geometric, and harmonic means. Contents 1 Definition 2 Properties 2.1 …   Wikipedia

  • Support (measure theory) — In mathematics, the support (sometimes topological support or spectrum) of a measure μ on a measurable topological space ( X , Borel( X )) is a precise notion of where in the space X the measure lives . It is defined to be the largest (closed)… …   Wikipedia

  • Square root of a matrix — In mathematics, the square root of a matrix extends the notion of square root from numbers to matrices. A matrix B is said to be a square root of A if the matrix product B · B is equal to A.[1] Contents 1 Properties 2 Computation methods …   Wikipedia

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