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Results tagged with calculus-of-variations
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user 4362
Questions on the calculus of variations, which deals with the optimization of functionals mostly defined on infinite dimensional spaces.
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Central limit theorem via maximal entropy
Let $\rho(x)$ be a probability density function on $\mathbb{R}$ with prescribed variance $\sigma^2$, so that:
$$\int_\mathbb{R} \rho(x)\, dx = 1$$
and
$$\int_\mathbb{R} x^2 \rho(x), dx = \sigma^2$$
Fa …
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