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order infinitesimal

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  • 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 — 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

  • Order of integration (calculus) — For the summary statistic in time series, see Order of integration. Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiati …   Wikipedia

  • Differential (infinitesimal) — For other uses of differential in calculus, see differential (calculus), and for more general meanings, see differential. In calculus, a differential is traditionally an infinitesimally small change in a variable. For example, if x is a variable …   Wikipedia

  • Infinitely near point — In mathematics, the notion of infinitely near points was initially part of the intuitive foundations of differential calculus. In the simplest terms, two points which lie at an infinitesimal distance apart are considered infinitely near.… …   Wikipedia

  • Grothendieck connection — In algebraic geometry and synthetic differential geometry, a Grothendieck connection is a way of viewing connections in terms of descent data from infinitesimal neighbourhoods of the diagonal.Introduction and motivationThe Grothendieck connection …   Wikipedia

  • Differential operator — In mathematics, a differential operator is an operator defined as a function of the differentiation operator. It is helpful, as a matter of notation first, to consider differentiation as an abstract operation, accepting a function and returning… …   Wikipedia

  • 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

  • Differential of a function — For other uses of differential in mathematics, see differential (mathematics). In calculus, the differential represents the principal part of the change in a function y = ƒ(x) with respect to changes in the independent variable. The… …   Wikipedia

  • Surreal number — In mathematics, the surreal number system is an arithmetic continuum containing the real numbers as well as infinite and infinitesimal numbers, respectively larger or smaller in absolute value than any positive real number. The surreals share… …   Wikipedia

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