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infinitesimal number

См. также в других словарях:

  • 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 — 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

  • Number — For other uses, see Numbers (disambiguation). A number is a mathematical object used to count and measure. In mathematics, the definition of number has been extended over the years to include such numbers as zero, negative numbers, rational… …   Wikipedia

  • infinitesimal — infinitesimality, infinitesimalness, n. infinitesimally, adv. /in fin i tes euh meuhl/, adj. 1. indefinitely or exceedingly small; minute: infinitesimal vessels in the circulatory system. 2. immeasurably small; less than an assignable quantity:… …   Universalium

  • infinitesimal — 1. adjective a) Incalculably, exceedingly, or immeasurably minute; vanishingly small. Do you ever get the feeling that you are but an infinitesimal speck, swallowed by the vastness of the universe and beyond? b) Of or pertaining to …   Wiktionary

  • infinitesimal — Both the infinitely large and its inverse, the infinitely small, cause headaches. The first philosophical explorations that turned disquiet into something more tangible were Zeno s paradoxes . The 18th century development of the calculus led to… …   Philosophy dictionary

  • Infinitesimal increment — Increment In cre*ment, n. [L. incrementum: cf. F. incr[ e]ment. See {Increase}.] [1913 Webster] 1. The act or process of increasing; growth in bulk, guantity, number, value, or amount; augmentation; enlargement. [1913 Webster] The seminary that… …   The Collaborative International Dictionary of English

  • 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

  • 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

  • Definable real number — A real number a is first order definable in the language of set theory, without parameters, if there is a formula φ in the language of set theory, with one free variable, such that a is the unique real number such that φ(a) holds in the standard… …   Wikipedia

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