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Pyotr Kuzmich Anokhin (Russian: Пётр Кузьми́ч Ано́хин; January 26, 1898 – March 5, 1974) was a Soviet and Russian biologist and physiologist, known for his theory of functional systems and the concept of systemogenesis. [1]
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 structure (for example, inner product, norm, or topology) and the linear functions defined on these spaces and suitably respecting these structures.
Add the following into the article's bibliography * {{Kolmogorov Fomin Elements of the Theory of Functions and Functional Analysis}} and then add a citation by using the markup
Let F be a field and let X be any set. The functions X → F can be given the structure of a vector space over F where the operations are defined pointwise, that is, for any f, g : X → F, any x in X, and any c in F, define (+) = + () = When the domain X has additional structure, one might consider instead the subset (or subspace) of all such functions which respect that structure.
The idea of a functional calculus is to create a principled approach to this kind of overloading of the notation. The most immediate case is to apply polynomial functions to a square matrix, extending what has just been discussed. In the finite-dimensional case, the polynomial functional calculus yields quite a bit of information about the ...
A function analysis diagram (FAD) is a method used in engineering design to model and visualize the functions and interactions between components of a system or product. It represents the functional relationships through a diagram consisting of blocks, which represent physical components, and labeled relations/arrows between them, which represent useful or harmful functional interactions.
Closed graph theorem (functional analysis) Closed range theorem; Cohen–Hewitt factorization theorem; Commutant lifting theorem; Commutation theorem for traces; Continuous functional calculus; Convex series; Cotlar–Stein lemma
Functional analysis is that branch of mathematics and specifically of analysis which is concerned with the study of spaces of functions The main article for this category is Functional analysis . Shortcut