Hadronic contribution to $α(M_Z^2)$ and the anomalous magnetic moment of the muon

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In this contribution recent developments are discussed which lead to a significant reduction of the error for $α(M_Z^2)$ and $(g-2)_μ$.
6 pages, Talk presented at the 17th International Workshop on Weak Interactions and Neutrinos (WIN99), Cape Town, South Africa, January 24--30, 1999

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