- nonstandard analysis
- мат. нестандартный анализ
Большой англо-русский и русско-английский словарь. 2001.
nonstandard analysis
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nonstandard analysis — nonstandard analysis, the mathematical study of infinitely large and infinitely small numbers: »Nonstandard analysis, a revolutionary new approach to classical calculus, is deeply rooted in mathematical logic, the study of the reasoning process… … Useful english dictionary
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
nonstandard — /non stan deuhrd/, adj. 1. not standard. 2. not conforming in pronunciation, grammar, vocabulary, etc., to the usage characteristic of and considered acceptable by most educated native speakers; lacking in social prestige or regionally or… … Universalium
Nonstandard finite difference scheme — Nonstandard finite difference schemes is a general set of methods in numerical analysis that gives numerical solutions to differential equations by constructing a discrete model. The general rules for such schemes are not precisely known.[1] [2]… … Wikipedia
Non-standard analysis — Abraham Robinson Gottfried Wilhelm Leibniz argued tha … 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
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
Smooth infinitesimal analysis — is a mathematically rigorous reformulation of the calculus in terms of infinitesimals. Based on the ideas of F. W. Lawvere and employing the methods of category theory, it views all functions as being continuous and incapable of being expressed… … Wikipedia
infinitesimal analysis — noun a) calculus 1816: , Dissertation on the Progress of Mathematical and Physical Science since the Revival of Letters in Europe b) a systematic employment of infinitesimals that reduces calculus to algebra; nonstandard analysis. , Of the new or … Wiktionary
Hyperreal number — *R redirects here. For R*, see Rockstar Games. The system of hyperreal numbers represents a rigorous method of treating the infinite and infinitesimal quantities. The hyperreals, or nonstandard reals, *R, are an extension of the real numbers R… … Wikipedia
Infinitesimal — Infinitesimals (from a 17th century Modern Latin coinage infinitesimus , originally referring to the infinite th member of a series) have been used to express the idea of objects so small that there is no way to see them or to measure them. For… … Wikipedia
