Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related...
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Functional analysis in behavioral psychology is the application of the laws of operant and respondent conditioning to establish the relationships between...
8 KB (1,048 words) - 18:55, 23 December 2020
This is a list of functional analysis topics. See also: Glossary of functional analysis. Bra–ket notation Definite bilinear form Direct integral Euclidean...
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In functional analysis, a state of an operator system is a positive linear functional of norm 1. States in functional analysis generalize the notion of...
6 KB (821 words) - 15:05, 21 December 2024
Functional data analysis (FDA) is a branch of statistics that analyses data providing information about curves, surfaces or anything else varying over...
48 KB (6,704 words) - 18:08, 26 March 2025
Functional linguistics is an approach to the study of language characterized by taking systematically into account the speaker's and the hearer's side...
29 KB (3,163 words) - 11:58, 30 November 2024
In mathematics, particularly in functional analysis, the spectrum of a bounded linear operator (or, more generally, an unbounded linear operator) is a...
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on a Banach space X {\displaystyle X} is a fundamental concept of functional analysis. The spectrum consists of all scalars λ {\displaystyle \lambda }...
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integers. Examples of analysis without a metric include measure theory (which describes size rather than distance) and functional analysis (which studies topological...
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In functional analysis, the open mapping theorem, also known as the Banach–Schauder theorem or the Banach theorem (named after Stefan Banach and Juliusz...
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In functional analysis, the compression of a linear operator T on a Hilbert space to a subspace K is the operator P K T | K : K → K {\displaystyle P_{K}T\vert...
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Structural functionalism (redirect from Structural-functional analysis)
least temporary conflict before reintegration (ibid). "The fact that functional analysis can be seen by some as inherently conservative and by others as inherently...
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{\displaystyle X} into the field of real or complex numbers. In functional analysis, the term linear functional is a synonym of linear form; that is, it is a scalar-valued...
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In mathematics, particularly in functional analysis, the closed graph theorem is a result connecting the continuity of a linear operator to a topological...
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2019). "Using principles from applied behavior analysis to address an undesired behavior: Functional analysis and treatment of jumping up in companion dogs"...
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This is a glossary for the terminology in a mathematical field of functional analysis. Throughout the article, unless stated otherwise, the base field...
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Functional principal component analysis (FPCA) is a statistical method for investigating the dominant modes of variation of functional data. Using this...
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Fourier Analysis: An Introduction; Complex Analysis; Real Analysis: Measure Theory, Integration, and Hilbert Spaces; and Functional Analysis: Introduction...
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Function space (redirect from Functional space)
factorial notation X! may be used for permutations of a single set X. In functional analysis, the same is seen for continuous linear transformations, including...
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Nonlinear functional analysis is a branch of mathematical analysis that deals with nonlinear mappings. Its subject matter includes:: 1–2 generalizations...
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Function (music) (redirect from Functional analysis (music))
Dualist theories are documented from the 16th century onwards. The term 'functional harmony' derives from Hugo Riemann and, more particularly, from his Harmony...
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Topological vector space (redirect from String (functional analysis))
abbreviated TVS or t.v.s.) is one of the basic structures investigated in functional analysis. A topological vector space is a vector space that is also a topological...
103 KB (13,546 words) - 12:16, 1 May 2025
List of theorems (section Functional analysis)
(functional analysis) Banach–Alaoglu theorem (functional analysis) Banach–Mazur theorem (functional analysis) Banach–Steinhaus theorem (functional analysis)...
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accomplished. Functional requirements analysis will be used as the toplevel functions for functional analysis. Non-functional requirements are requirements that...
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Wordless functional analysis is a method of musical analysis developed in the 1950s by the Austrian-born British musician and writer Hans Keller. The...
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In functional analysis, a branch of mathematics, it is sometimes possible to generalize the notion of the determinant of a square matrix of finite order...
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In mathematics, more specifically in functional analysis, a K-space is an F-space V {\displaystyle V} such that every extension of F-spaces (or twisted...
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Dynamical systems theory (section Functional analysis)
by problems of statistical physics. Functional analysis is the branch of mathematics, and specifically of analysis, concerned with the study of vector...
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The Journal of Functional Analysis is a mathematics journal published by Elsevier. Founded by Paul Malliavin, Ralph S. Phillips, and Irving Segal, its...
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In mathematics, in the field of functional analysis, a Minkowski functional (after Hermann Minkowski) or gauge function is a function that recovers a...
52 KB (6,955 words) - 06:51, 5 December 2024