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** Schwarz lemma
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** and Schwarz
** Cord Garben ( producer ), James Levine ( conductor ), Hildegard Behrens, Reiner Goldberg, Matti Salminen, Hanna Schwarz, Cheryl Studer, Bernd Weikl, Ekkehard Wlaschiha, & the Metropolitan Opera Orchestra for Wagner: Götterdämmerung
** Cord Garben ( producer ), James Levine ( conductor ), Hildegard Behrens, Reiner Goldberg, Matti Salminen, Hanna Schwarz, Cheryl Studer, Bernd Weikl, Ekkehard Wlaschiha, & the Metropolitan Opera Orchestra for Wagner: Götterdämmerung
** and lemma
** Zorn's lemma: Every non-empty partially ordered set in which every chain ( i. e. totally ordered subset ) has an upper bound contains at least one maximal element.
** Tukey's lemma: Every non-empty collection of finite character has a maximal element with respect to inclusion.
Schwarz and lemma
In mathematics, the Schwarz lemma, named after Hermann Amandus Schwarz, is a result in complex analysis about holomorphic functions from the open unit disk to itself.
In mathematics, the Schwarz – Ahlfors – Pick theorem is an extension of the Schwarz lemma for hyperbolic geometry, such as the Poincaré half-plane model.
The Schwarz – Pick lemma states that every holomorphic function on the unit disk U, or the upper half-plane H, with distances defined by the Poincaré metric, is a contraction mapping.
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