Search for "Measure theory" in article titles:

1. Measure theory: Measure theory is a branch of mathematics that studies countably additive set functions and a theory of integration based on these functions. Here a "set function" refers to a function that is defined on a collection of sets F {\displaystyle ... [100%] 2023-07-23
2. Measure Theory: This course is designed with a few principles in mind. The most core design principle for this course, which I am calling "natural proofs", is Any abandonment of this principle, basically gives up on the job of being a teacher ... [100%] 2024-01-20 [Analysis] [Measure Theory]...
3. Measure algebra (measure theory): $\newcommand{\A}{\mathcal A} \newcommand{\B}{\mathcal B} $ A measure algebra is a pair $(\B,\mu)$ where $\B$ is a Boolean σ-algebra and $\mu$ is a (strictly) positive measure on $\B$. The (strict) positivity means $\mu(x)\ge0$ and $\mu ... (Mathematics) [86%] 2023-10-21 [Classical measure theory]
4. Geometric measure theory: An area of analysis concerned with solving geometric problems via measure-theoretic techniques. The canonical motivating physical problem is probably that investigated experimentally by J. (Mathematics) [81%] 2023-10-13
5. Fuzzy measure theory: Fuzzy measure theory considers a number of special classes of measures, each of which is characterized by a special property. Some of the measures used in this theory are plausibility and belief measures, fuzzy set membership function and the classical ... [81%] 2024-01-21 [Probability theory] [fuzzy logic]...
6. Computable measure theory: In mathematics, computable measure theory is the part of computable analysis that deals with effective versions of measure theory. [81%] 2023-10-12 [Measure theory] [Computable analysis]...
7. Fuzzy measure theory: In mathematics, fuzzy measure theory considers generalized measures in which the additive property is replaced by the weaker property of monotonicity. The central concept of fuzzy measure theory is the fuzzy measure (also capacity, see ), which was introduced by Choquet ... [81%] 2023-11-03 [Exotic probabilities] [Measure theory]...
8. Content (measure theory): In mathematics, in particular in measure theory, a content \displaystyle{ \mu }[/math] is a real-valued function defined on a collection of subsets \displaystyle{ \mathcal{A} }[/math] such that That is, a content is a generalization of a measure: while ... (Measure theory) [81%] 2023-10-25 [Measure theory]
9. Support (measure theory): In mathematics, the support (sometimes topological support or spectrum) of a measure μ {\displaystyle \mu } on a measurable topological space ( X , Borel ⁡ ( X ) ) {\displaystyle (X,\operatorname {Borel} (X))} is a precise notion of where in the space X {\displaystyle X} the ... (Measure theory) [81%] 2023-10-04 [Measures (measure theory)] [Measure theory]...
10. Support (measure theory): In mathematics, the support (sometimes topological support or spectrum) of a measure \displaystyle{ \mu }[/math] on a measurable topological space \displaystyle{ (X, \operatorname{Borel}(X)) }[/math] is a precise notion of where in the space \displaystyle{ X }[/math] the measure ... (Measure theory) [81%] 2023-10-17 [Measures (measure theory)] [Measure theory]...
11. Projection (measure theory): In measure theory, projection maps often appear when working with product (Cartesian) spaces: The product sigma-algebra of measurable spaces is defined to be the finest such that the projection mappings will be measurable. Sometimes for some reasons product spaces ... (Measure theory) [81%] 2023-09-24 [Descriptive set theory] [Measure theory]...
12. Geometric measure theory: In mathematics, geometric measure theory (GMT) is the study of geometric properties of sets (typically in Euclidean space) through measure theory. It allows mathematicians to extend tools from differential geometry to a much larger class of surfaces that are not ... (Study of geometric properties of sets through measure theory) [81%] 2023-10-18 [Measure theory]
13. Fuzzy measure theory: Fuzzy measure theory considers a number of special classes of measures, each of which is characterized by a special property. Some of the measures used in this theory are plausibility and belief measures, fuzzy set membership function and the classical ... [81%] 2023-10-19 [Probability theory] [fuzzy logic]...
14. Atom (measure theory): In mathematics, more precisely in measure theory, an atom is a measurable set which has positive measure and contains no set of smaller positive measure. A measure which has no atoms is called non-atomic or atomless. (Measure theory) [81%] 2023-12-13 [Measure theory]
15. Equivalence (measure theory): In mathematics, and specifically in measure theory, equivalence is a notion of two measures being qualitatively similar. Specifically, the two measures agree on which events have measure zero. (Measure theory) [81%] 2024-02-24 [Equivalence (mathematics)] [Measure theory]...
16. Atom (measure theory): In mathematics, more precisely in measure theory, an atom is a measurable set which has positive measure and contains no set of smaller positive measure. A measure which has no atoms is called non-atomic or atomless. (Measure theory) [81%] 2024-03-08 [Measure theory]
17. Valuation (measure theory): In measure theory, or at least in the approach to it via the domain theory, a valuation is a map from the class of open sets of a topological space to the set of positive real numbers including infinity, with ... (Measure theory) [81%] 2023-10-13 [Measure theory]
18. Information theory and measure theory: This article discusses how information theory (a branch of mathematics studying the transmission, processing and storage of information) is related to measure theory (a branch of mathematics related to integration and probability). Many of the concepts in information theory have ... [75%] 2023-10-17 [Information theory] [Measure theory]...
19. Area formula (geometric measure theory): In geometric measure theory the area formula relates the Hausdorff measure of the image of a Lipschitz map, while accounting for multiplicity, to the integral of the Jacobian of the map. It is one of the fundamental results of the ... (Geometric measure theory) [63%] 2024-07-16 [Theorems in measure theory]
20. List of integration and measure theory topics: This is a list of integration and measure theory topics, by Wikipedia page. See also list of transforms, list of Fourier-related transforms. (none) [53%] 2022-10-28 [Mathematics-related lists]