measure of set
71Vector measure — In mathematics, a vector measure is a function defined on a family of sets and taking vector values satisfying certain properties. Definitions and first consequencesGiven a field of sets (Omega, mathcal F) and a Banach space X, a finitely… …
72Projection-valued measure — In mathematics, particularly functional analysis a projection valued measure is a function defined on certain subsets of a fixed set and whose values are self adjoint projections on a Hilbert space. Projection valued measures are used to express… …
73Normal measure — In set theory, a normal measure is a measure on a measurable cardinal κ such that the equivalence class of the identity function on κ maps to κ itself in the ultrapower construction. Equivalently, if f:κ→κ is such that f(α)<α for most α<κ,… …
74List of integration and measure theory topics — This is a list of integration and measure theory topics, by Wikipedia page.Intuitive foundations*Length *Area *Volume *Probability *Moving averageRiemann integral*Riemann sum *Riemann Stieltjes integral *Bounded variation *Jordan contentImproper… …
75Strictly 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… …
76Transverse measure — In mathematics, a measure on a real vector space is said to be transverse to a given set if it assigns measure zero to every translate of that set, while assigning finite and positive (i.e. non zero) measure to some compact set.DefinitionLet V be …
77Martin measure — In descriptive set theory, the Martin measure is a filter on the set of Turing degrees of sets of natural numbers. Under the axiom of determinacy it can be shown to be an ultrafilter. Definition Let D be the set of Turing degrees of sets of… …
78Metric outer measure — In mathematics, a metric outer measure is an outer measure μ defined on the subsets of a given metric space (X, d) such that for every pair of positively separated subsets A and B of X. Construction of metric outer measures Let… …
79Pre-measure — In mathematics, a pre measure is a function that is, in some sense, a precursor to a bona fide measure on a given space. Pre measures are particularly useful in fractal geometry and dimension theory, where they can be used to define measures such …
80Probability measure — In some cases, statistical physics uses probability measures, but not all measures it uses are probability measures.[1][2] In mathematics, a probability measure is a real valued function defined on a set …
