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constructive analysis

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  • Constructive analysis — In mathematics, constructive analysis is mathematical analysis done according to the principles of constructive mathematics. This contrasts with classical analysis, which (in this context) simply means analysis done according to the (ordinary)… …   Wikipedia

  • Constructive set theory — is an approach to mathematical constructivism following the program of axiomatic set theory. That is, it uses the usual first order language of classical set theory, and although of course the logic is constructive, there is no explicit use of… …   Wikipedia

  • analysis — /euh nal euh sis/, n., pl. analyses / seez /. 1. the separating of any material or abstract entity into its constituent elements (opposed to synthesis). 2. this process as a method of studying the nature of something or of determining its… …   Universalium

  • Constructive non-standard analysis — In mathematics, constructive nonstandard analysis is a version of Abraham Robinson s non standard analysis, developed by Moerdijk (1995), Palmgren (1998), Ruokolainen (2004). Ruokolainen wrote: The possibility of constructivization of nonstandard …   Wikipedia

  • Constructive Approximation —   Abbreviated title (ISO) Constr. Approx. Discipline mathematics …   Wikipedia

  • Constructive induction — is a process in the field of machine learning, which can be described as changing the representations of data by creating new attributes from existing ones, and possibly removing old ones. [cite web last = Pazzani first = M. authorlink =… …   Wikipedia

  • Constructive quantum field theory — In mathematical physics, constructive quantum field theory is the field devoted to showing that quantum theory is mathematically compatible with special relativity. This demonstration requires new mathematics, in a sense analogous to Newton… …   Wikipedia

  • Constructive function theory — In mathematical analysis, constructive function theory is a field which studies the connection between the smoothness of a function and its degree of approximation[1][2]. It is closely related to approximation theory. The term was coined by… …   Wikipedia

  • Constructivist analysis — In mathematics, constructive analysis is mathematical analysis done according to the principles of constructivist mathematics.This contrasts with classical analysis , which (in this context) simply means analysis done according to the (ordinary)… …   Wikipedia

  • Criticism of non-standard analysis — Non standard analysis and its offshoot, non standard calculus, have been criticized by several authors. The evaluation of non standard analysis in the literature has varied greatly. Joseph Dauben described it as a scientific revolution, while… …   Wikipedia

  • Non-classical analysis — In mathematics, non classical analysis is any system of analysis, other than classical real analysis, and complex, vector, tensor, etc., analysis based upon it. Such systems include: Abstract Stone duality,[1] a programme to re axiomatise general …   Wikipedia

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