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MathCraft: PDF to LaTeX file: Sample-01

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ans $$ \begin{aligned} & E(x, y ; r, s)=\left\{\dfrac{r\left(y^{s}-x^{s}\right)}{s\left(y^{r}-x^{r}\right)}\right\}^{\dfrac{1}{s-r}} \\ & E(x, y ; r, 0)=E(0, r)=\left\{\dfrac{y^{r}-x^{r}}{r(\ln y-\ln x)}\right\}^{1 / r} \\ & E(x, y ; r, r)=e^{-\dfrac{1}{r}}\left(\dfrac{x^{x^{r}}}{y^{y^{r}}}\right)^{