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If $p=0$ then $\\bar \\mu (f)=\\mu(f)$ (the Milnor formula). If $p>0$ then $\\mu(f)$ is not an invariant and $\\bar \\mu(f)$ plays the role of $\\mu(f)$. Let $\\mathcal N_f$ be the Newton polygon of $f$. We define the numbers $\\mu(\\mathcal N_{f})$ and $r(\\mathcal N_{f})$ which can be computed by explicit formulas. 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