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Functional analysis (5278 bytes)
1: ...ifferential]] and integral equations. The word '[[functional]]' goes back to the [[calculus of variations]], i... 5: ...[[quantum mechanics]]. More generally, functional analysis includes the study of [[Fréchet space]]s and othe... 7: An important object of study in functional analysis are the continuous [[linear transformation|linear... 11: ...morphisms. One of the open problems in functional analysis is to prove that every operator on a Hilbert spac... 21: ...l space]]: the space of all [[continuous]] linear functionals. State (functional analysis) (544 bytes) 1: ...-star algebra|C*-algebra]] is a [[positive linear functional]] of [[operator norm|norm]] 1. The set of states... Compression (functional analysis) (561 bytes) 1: In [[functional analysis]], the '''compression''' of a [[linear operator]]... List of functional analysis topics (4237 bytes) 1: This is a '''list of [[functional analysis]] topics''', by Wikipedia page. 38: ==Functional analysis, classic results== 77: *[[Compression (functional analysis)]] 81: *[[Functional calculus]] 82: **[[Continuous functional calculus]] Functional (977 bytes) 1: ''Generally, '''''functional''''' refers to something with and able to fulfill... 3: ...ience]], the term '''''[[functional (mathematics)|functional]]''''' is a term applied to certain [[function (... 4: * In [[design]], '''''[[functional form]]'''''. 5: ... [[medicine]], the term '''''[[functional symptom|functional]]''''' is sometimes used to describe symptoms tha... 6: *In music, '''''[[diatonic functionality]]'''''. Functional grammar (1449 bytes) 1: ...]]; another important figure in recent linguistic functionalism is [[Talmy Givón]]. 3: Dik characterises functional grammar as follows: 5: ''In the functional paradigm a language is in the first place concept... 7: ...ive function, and the social context of language, functional grammar differs significantly from other linguist... 10: # [http://www.functionalgrammar.com/ Functional grammar home page] Functional decomposition (1008 bytes) 1: '''Functional decomposition of engineering''' is a method for a... 5: ... one needs to make a [[stereo]] system. One might functionally decompose this into [[loudspeaker|speakers]], [... 11: * [[Functional decomposition of mind]] Functional profile (573 bytes) 1: In [[telecommunication]], a '''functional profile''' is a standardization document that cha... Functional programming (14848 bytes) 1: '''Functional programming''' is a [[programming paradigm]] that... 3: ...nctional programming emphasizes the evaluation of functional expressions, rather than execution of commands. T... 7: ... have great strengths in terms of flexibility and analysis. For example, if a function is known to be [[idem... 11: ...straction and used as values in other functions. Functional languages also allow functions to be "curried". ... 15: ...]] in an attempt to gather together many ideas in functional programming research. Functional shift (460 bytes) 1: '''Functional shift''' is a term used in [[linguistics]] to ref... Functional calculus (1264 bytes) 1: In [[mathematics]], a '''functional calculus''' is a theory allowing one to apply [[m... 5: ...'' [[matrix (mathematics)|matrix]]. The idea of a functional calculus is to create a ''principled'' approach t... 9: *[[continuous functional calculus]] 10: *[[Borel functional calculus]]. 12: [[Category:Functional analysis]] Functional constipation (755 bytes) 1: '''Functional constipation''' is a form of [[constipation]] wit... 3: Functional constipation has many causes, some of which are: Functional group (7385 bytes) 1: In [[ecology]] '''functional groups''' are collections of [[organisms]] based ... 5: In [[organic chemistry]] '''functional groups''' are submolecular structural motifs, cha... 7: The following is a list of common functional groups. In the formulas, the symbols R and R' den... 201: Combining the names of functional groups with the names of the parent [[alkane]]s g... 203: The non-hydrogen atoms of functional groups are always associated with each other and ... Functional constituency (715 bytes) 1: A '''functional constituency''', in [[Politics of Hong Kong|Hong ... 3: ...|geographic constituencies]]), with 30 elected by functional constituencies and 6 by an 800 member [[election ... Functional neuroimaging (2326 bytes) 1: '''Functional neuroimaging''' is the use of [[brain imaging]] t... 5: ...ET)]] and [[Functional magnetic resonance imaging|Functional Magnetic Resonance Imaging (fMRI)]]. These method... 7: ...ds on careful experimental design and statistical analysis (often using a technique called [[statistical par... 9: Functional neuroimaging draws on data from many areas other ... 15: * [[functional magnetic resonance imaging]] (fMRI) Functional derivative (1375 bytes) 1: ..., one differentiates a [[functional (mathematics)|functional]] with respect to a function. 3: ...given here. There are more general definitions of functional derivatives. 5: ...vided the following [[derivative]] exists, the '''functional derivative''' Functional integration (6496 bytes) 1: ...nal analysis]]. In applications to [[physics]], ''functional integration'' refers to integration over spaces o... 5: Functional integration techniques in physics were pioneered ... 7: ...ms of any of the existing rigorous definitions of functional integration. 9: The problem of functional integration is to make sense of expressions such ... 15: ...orthogonal group. However, the rigorous theory of functional integration that he developed is not far-reaching... Purely functional (1187 bytes) 1: '''''Purely functional''''' is a term in [[computing]] used to describe ... 4: ...ke purely functional computation more amenable to analysis, both formal and informal. 6: Since every value in an purely functional computation is built up out of existing values, i... 8: [[Category:Functional programming]] Specialization (functional) (634 bytes) Functional work (411 bytes) 1: A '''functional work''' is a [[work]] that can be considered to b... 3: ...[[Richard Stallman]], use the term to distinguish functional work from texts written with a certain ''[[point ...
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:: About Us This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "functional analysis". |