Alternative Formulation
Given a doubly periodic metric on (e.g. an imbedding in which is invariant by a isometric action), there is a nonzero element and a point such that, where is a fundamental domain for the action, while is the Riemannian distance, namely least length of a path joining and .
Read more about this topic: Loewner's Torus Inequality
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“If English is spoken in heaven ... God undoubtedly employs Cranmer as his speechwriter. The angels of the lesser ministries probably use the language of the New English Bible and the Alternative Service Book for internal memos.”
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The formulation was used as a motto by the English Nonconformist clergyman Richard Baxter (1615-1691)