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
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
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
infinitesimal calculus — n. the combined methods of mathematical analysis of DIFFERENTIAL CALCULUS and INTEGRAL CALCULUS … English World dictionary
Infinitesimal calculus — Gottfried Wilhelm Leibniz (left) and Isaac Newton (right) … Wikipedia
Infinitesimal strain theory — The infinitesimal strain theory, sometimes called small deformation theory, small displacement theory, or small displacement gradient theory, deals with infinitesimal deformations of a continuum body. For an infinitesimal deformation the… … Wikipedia
Infinitesimal transformation — In mathematics, an infinitesimal transformation is a limiting form of small transformation. For example one may talk about an infinitesimal rotation of a rigid body, in three dimensional space. This is conventionally represented by a 3 times;3… … Wikipedia
Infinitesimal generator (stochastic processes) — In mathematics mdash; specifically, in stochastic analysis mdash; the infinitesimal generator of a stochastic process is a partial differential operator that encodes a great deal of information about the process. The generator is used in… … Wikipedia
Infinitesimal — Die Infinitesimalrechnung ist eine von Leibniz und Newton unabhängig voneinander entwickelte Technik, um Differential und Integralrechnung zu betreiben. Sie liefert eine Methode, eine Funktion auf beliebig kleinen (d. h. infinitesimalen)… … Deutsch Wikipedia
analysis — Synonyms and related words: Baconian method, Boolean algebra, Euclidean geometry, Fourier analysis, Lagrangian function, a fortiori reasoning, a posteriori reasoning, a priori reasoning, abstraction, accounting, airing, algebra, algebraic… … Moby Thesaurus