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 functional analysis - Definition 

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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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "functional analysis".