Lemma
DeepChange of variables
Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §14.2 Change to Better Coordinates, #33 · Multivariable Calculus · Change of variables

In the square …, …, where could you distribute a unit mass…

In the square , , where could you distribute a unit mass (with ) to maximize

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §14.2 Change to Better Coordinates, #33

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