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infinitesimal value

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  • Infinitesimal — In fin*i*tes i*mal, a. [Cf. F. infinit[ e]simal, fr. infinit[ e]sime infinitely small, fr. L. infinitus. See {Infinite}, a.] Infinitely or indefinitely small; less than any assignable quantity or value; very small. [1913 Webster] {Infinitesimal… …   The Collaborative International Dictionary of English

  • Infinitesimal calculus — Infinitesimal In fin*i*tes i*mal, a. [Cf. F. infinit[ e]simal, fr. infinit[ e]sime infinitely small, fr. L. infinitus. See {Infinite}, a.] Infinitely or indefinitely small; less than any assignable quantity or value; very small. [1913 Webster]… …   The Collaborative International Dictionary of English

  • 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 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

  • infinitesimal — [ˌɪnfɪnɪ tɛsɪm(ə)l] adjective extremely small. noun Mathematics an indefinitely small quantity; a value approaching zero. Derivatives infinitesimally adverb Origin C17: from mod. L. infinitesimus, from L. infinitus (see infinite), on the pattern… …   English new terms dictionary

  • 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

  • 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

  • Extreme value theorem — This article is about continuous functions in analysis. For statistical theorems about the largest observation in a sequence of random variables, see extreme value theory. A continuous function ƒ(x) on the closed interval [a,b] showing the… …   Wikipedia

  • Mean value theorem — For the theorem in harmonic function theory, see Harmonic function#Mean value property. Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables …   Wikipedia

  • Science of Value — The science of value, or value science, is a creation of philosopher Robert S. Hartman, which attempts to formally elucidate value theory using both formal and symbolic logic. The fundamental principle, which functions as an axiom, and can be… …   Wikipedia

  • Expectation value (quantum mechanics) — In quantum mechanics, the expectation value is the predicted mean value of the result of an experiment. It is a fundamental concept in all areas of quantum physics. Operational definition Quantum physics shows an inherent statistical behaviour:… …   Wikipedia

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