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In mathematics, Bôcher's theorem, named after Maxime Bôcher, states that the finite zeros of the derivative $r\text{'}(z)$ of a nonconstant rational function $r(z)$ that are not multiple zeros are also the positions of equilibrium in the field of force due to particles of positive mass at the zeros of $r(z)$ and particles of negative mass at the poles of $r(z)$, with masses numerically equal to the respective multiplicities, where each particle repels with a force equal to the mass times the inverse distance.

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Last updated on Sunday October 05, 2008 at 13:30:35 PDT (GMT -0700)

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This article is licensed under the GNU Free Documentation License.

Last updated on Sunday October 05, 2008 at 13:30:35 PDT (GMT -0700)

View this article at Wikipedia.org - Edit this article at Wikipedia.org - Donate to the Wikimedia Foundation

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