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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.
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.
Padam Chand Jain (P.C. Jain) (born 30 September 1930) is an Indian mathematician who specialised in numerical solutions of partial differential equations. He was awarded in 1975 the Shanti Swarup Bhatnagar Prize for Science and Technology , the highest science award in India , in the mathematical sciences category.
Functional principal component analysis (FPCA) is a statistical method for investigating the dominant modes of variation of functional data. Using this method, a random function is represented in the eigenbasis, which is an orthonormal basis of the Hilbert space L 2 that consists of the eigenfunctions of the autocovariance operator .
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
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 density matrices in quantum mechanics, which represent quantum states, both mixed states and pure states. Density matrices in turn generalize state vectors, which only represent pure states.
In functional analysis, the compression of a linear operator T on a Hilbert space to a subspace K is the operator |:, where : is the orthogonal projection onto K.This is a natural way to obtain an operator on K from an operator on the whole Hilbert space.