• 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
  • This is a list of functional analysis topics. See also: Glossary of functional analysis. Bra–ket notation Definite bilinear form Direct integral Euclidean...
    5 KB (475 words) - 23:38, 19 July 2023
  • Resting state fMRI (rs-fMRI or R-fMRI), also referred to as task-independent fMRI or task-free fMRI, is a method of functional magnetic resonance imaging...
    55 KB (6,054 words) - 12:32, 9 January 2025
  • 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
  • State space (controls) Control (optimal control theory) Control theory Equation of state State (computer science) Dynamical systems State (functional...
    5 KB (694 words) - 10:46, 10 April 2023
  • State station, subway station in Boston State station (CTA), in Chicago State (controls), a term related to control theory State (functional analysis)...
    6 KB (787 words) - 03:21, 14 May 2025
  • for the terminology in a mathematical field of functional analysis. Throughout the article, unless stated otherwise, the base field of a vector space is...
    21 KB (3,200 words) - 19:09, 11 May 2025
  • functions, inside the functional paradigm, will only depend on their arguments, regardless of any global or local state. A pure functional subroutine only has...
    8 KB (902 words) - 17:11, 16 July 2024
  • In functional analysis, the open mapping theorem, also known as the Banach–Schauder theorem or the Banach theorem (named after Stefan Banach and Juliusz...
    22 KB (3,954 words) - 07:34, 22 April 2025
  • sequence of imperative statements which update the running state of the program. In functional programming, functions are treated as first-class citizens...
    87 KB (8,696 words) - 10:16, 3 May 2025
  • Thumbnail for Functional magnetic resonance imaging
    Functional magnetic resonance imaging or functional MRI (fMRI) measures brain activity by detecting changes associated with blood flow. This technique...
    109 KB (14,252 words) - 23:54, 14 April 2025
  • Thumbnail for Failure mode and effects analysis
    Functional Design Process Sometimes FMEA is extended to FMECA (failure mode, effects, and criticality analysis) to indicate that criticality analysis...
    46 KB (5,562 words) - 13:01, 15 October 2024
  • A.; Saad, Z. S. (2013). "FATCAT: (an efficient) Functional and Tractographic Connectivity Analysis Toolbox". Brain Connect. 3 (5): 523–535. doi:10.1089/brain...
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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 }...
    26 KB (3,809 words) - 05:57, 18 January 2025
  • Thumbnail for Fault tree analysis
    fault tree analysis. These system failure conditions and their classification are often previously determined in the functional hazard analysis. Fault tree...
    33 KB (4,012 words) - 02:43, 9 March 2025
  • Thumbnail for Functional dyspepsia
    post-infection functional dyspepsia. According to a meta-analysis of 19 papers, exposed people had nearly three times the chance of developing functional dyspepsia...
    65 KB (6,454 words) - 15:07, 12 April 2025
  • Gelfand–Naimark–Segal construction (category Functional analysis)
    In functional analysis, a discipline within mathematics, given a C ∗ {\displaystyle C^{*}} -algebra A {\displaystyle A} , the Gelfand–Naimark–Segal construction...
    16 KB (2,463 words) - 10:12, 7 February 2025
  • } Linear functionals first appeared in functional analysis, the study of vector spaces of functions. A typical example of a linear functional is integration:...
    34 KB (5,966 words) - 07:05, 3 April 2025
  • Thumbnail for Requirements analysis
    accomplished. Functional requirements analysis will be used as the toplevel functions for functional analysis. Non-functional requirements are requirements that...
    25 KB (2,957 words) - 05:33, 17 February 2025
  • Hahn–Banach theorem (category Theorems in functional analysis)
    In functional analysis, the Hahn–Banach theorem is a central result that allows the extension of bounded linear functionals defined on a vector subspace...
    77 KB (12,640 words) - 10:59, 10 February 2025
  • Thumbnail for Functional specification
    A functional specification (also, functional spec, specs, functional specifications document (FSD), functional requirements specification) in systems engineering...
    6 KB (651 words) - 09:45, 2 April 2025
  • Functional integration is a collection of results in mathematics and physics where the domain of an integral is no longer a region of space, but a space...
    10 KB (1,801 words) - 22:51, 10 March 2025
  • Thumbnail for Structural functionalism
    unlikely that Parsons did not. However Merton does explicitly state that functional analysis does not seek to explain why the action happened in the first...
    53 KB (6,912 words) - 01:36, 12 February 2025
  • Thumbnail for CONN (functional connectivity toolbox)
    computation, display, and analysis of functional connectivity in fMRI (functional Magnetic Resonance Imaging) in the resting state and during task. CONN is...
    8 KB (790 words) - 23:09, 20 July 2024
  • Banach–Mazur theorem (category Functional analysis)
    In functional analysis, a field of mathematics, the Banach–Mazur theorem is a theorem roughly stating that most well-behaved normed spaces are subspaces...
    5 KB (565 words) - 19:14, 14 May 2025
  • languages; the phenomenon is studied within certain areas of language analysis, in particular stylistics, rhetoric, and semantics. Literal language is...
    19 KB (2,067 words) - 04:08, 2 May 2025
  • connectivity is a recent expansion on traditional functional connectivity analysis which typically assumes that functional networks are static in time. DFC is related...
    34 KB (4,051 words) - 00:28, 28 October 2024
  • (2006), The Launching of the Turkish Thesis of History: A Close Textual Analysis (PDF), M.A. Thesis, Sabancı University, archived from the original (PDF)...
    17 KB (1,848 words) - 21:23, 20 April 2025
  • and the use of functional analytic models of verbal behavior—particularly, relational frame theory (RFT). Clinical behavior analysis (CBA) therapies...
    12 KB (1,267 words) - 17:07, 15 February 2024
  • and Functional Programming. Cornell University. 2006. [Amortized analysis] is different from what is commonly referred to as average case analysis, because...
    10 KB (1,266 words) - 08:26, 15 March 2025