Some Applications of Extremal Length
By the calculation of the extremal distance in an annulus and the conformal invariance it follows that the annulus (where ) is not conformally homeomorphic to the annulus if .
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“The value of life lies not in the length of days but in the use you make of them; he has lived for a long time who has little lived.”
—Michel de Montaigne (1533–1592)
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