contour integral

  • 11Hankel contour — In mathematics, a Hankel contour is a path in the complex plane which extends from [ infin;, delta;] , around the origin counter clockwise and back to [ infin;,− delta;] , where delta; is an arbitrarily small positive number. The contour thus… …

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  • 12line integral — Math. the limit, as the norm of the partition of a given curve approaches zero, of the sum of the product of the length of the arcs in the partition times the value of the function at some point on each arc. [1870 75] * * * In mathematics, the… …

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  • 13intégrale de contour — kontūrinis integralas statusas T sritis fizika atitikmenys: angl. contour integral vok. Umlaufintegral, n rus. контурный интеграл, m pranc. intégrale de contour, f …

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  • 14Path integral formulation — This article is about a formulation of quantum mechanics. For integrals along a path, also known as line or contour integrals, see line integral. The path integral formulation of quantum mechanics is a description of quantum theory which… …

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  • 15Differentiation under the integral sign — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …

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  • 16Nörlund–Rice integral — In mathematics, the Nörlund–Rice integral, sometimes called Rice s method, relates the nth forward difference of a function to a line integral on the complex plane. As such, it commonly appears in the theory of finite differences, and also has… …

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  • 17Nörlund-Rice integral — In mathematics, the Nörlund Rice integral, sometimes called Rice s method, relates the n th forward difference of a function to a line integral on the complex plane. As such, it commonly appears in the theory of finite differences, and also has… …

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  • 18Improper integral — In calculus, an improper integral is the limit of a definite integral as an endpoint of the interval of integration approaches either a specified real number or ∞ or −∞ or, in some cases, as both endpoints approach limits.Specifically, an… …

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  • 19J integral — The J integral represents a way to calculate the strain energy release rate, or work (energy) per unit fracture surface area, in a material.Van Vliet, Krystyn J. (2006); 3.032 Mechanical Behavior of Materials ,… …

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  • 20Cauchy's integral theorem — In mathematics, the Cauchy integral theorem in complex analysis, named after Augustin Louis Cauchy, is an important statement about line integrals for holomorphic functions in the complex plane. Essentially, it says that if two different paths… …

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