In applied mathematics and the calculus of variations, the first variation of a functional J(y) is defined as the linear functional mapping the function h to
where y and h are functions, and ε is a scalar. This is recognizable as the Gateaux derivative of the functional.
YouTube Encyclopedic
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Calculus of Variations - 1/15 The First Variation (SSP Maths USYD)
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Rebekah D. -Swan Lake Pas De Trois, First Variation
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Rolling with Stones First Variation
Example
Compute the first variation of
From the definition above,
See also
This page was last edited on 2 February 2019, at 05:27