What does product integral mean?

Definitions for product integral
prod·uct inte·gral

This dictionary definitions page includes all the possible meanings, example usage and translations of the word product integral.

Wikipedia

  1. Product integral

    A product integral is any product-based counterpart of the usual sum-based integral of calculus. The first product integral (Type I below) was developed by the mathematician Vito Volterra in 1887 to solve systems of linear differential equations. Other examples of product integrals are the geometric integral (Type II below), the bigeometric integral (Type III below), and some other integrals of non-Newtonian calculus.Product integrals have found use in areas from epidemiology (the Kaplan–Meier estimator) to stochastic population dynamics using multiplication integrals (multigrals), analysis and quantum mechanics. The geometric integral, together with the geometric derivative, is useful in image analysis and in the study of growth/decay phenomena (e.g., in economic growth, bacterial growth, and radioactive decay). The bigeometric integral, together with the bigeometric derivative, is useful in some applications of fractals, and in the theory of elasticity in economics. This article adopts the "product" ∏ {\displaystyle \prod } notation for product integration instead of the "integral" ∫ {\displaystyle \int } (usually modified by a superimposed "times" symbol or letter P) favoured by Volterra and others. An arbitrary classification of types is also adopted to impose some order in the field.

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Numerology

  1. Chaldean Numerology

    The numerical value of product integral in Chaldean Numerology is: 4

  2. Pythagorean Numerology

    The numerical value of product integral in Pythagorean Numerology is: 3

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"product integral." Definitions.net. STANDS4 LLC, 2024. Web. 4 May 2024. <https://www.definitions.net/definition/product+integral>.

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