Measures (measure theory)

Young measure

In mathematical analysis, a Young measure is a parameterized measure that is associated with certain subsequences of a given bounded sequence of measurable functions. They are a quantification of the oscillation effect of the sequence in the limit. Young measures have applications in the calculus of variations, especially models from material science, and the study of nonlinear partial differential equations, as well as in various optimization (or optimal control problems). They are named after Laurence Chisholm Young who invented them, already in 1937 in one dimension (curves) and later in higher dimensions in 1942. (Wikipedia).

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What was the diameter? music: https://www.bensound.com/

From playlist Fine Measurements

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What was the diameter? music: https://www.bensound.com/

From playlist Fine Measurements

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10.2.1 Example

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From playlist Statistical Measures

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From playlist Cool Science Tricks

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From playlist Area Application Problems Involving Equations in One Variable

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From playlist Mechanisms

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From playlist Geometer's Sketchpad

Related pages

Lebesgue measure | Stanisław Saks | Measure (mathematics) | Calculus of variations | Optimal control | Borel measure | Laurence Chisholm Young | Mathematical analysis