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We apply the results in the homogenization of the parabolic partial differential equation $\\varepsilon ^{p}\\partial_{t}u_{\\varepsilon }\\left( x,t\\right) -\\nabla \\cdot \\left( a\\left( x/\\varepsilon ,x/\\varepsilon ^{2},t/\\varepsilon^{q},t/\\varepsilon ^{r}\\right) \\nabla u_{\\varepsilon }\\left( x,t\\right)\\right) = f\\left( x,t\\right) $, where $0<p<q<r$. 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