951 resultados para Klein, William


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This article demonstrates how early Pre-Raphaelite poetry worked according to the principle that art should be modelled on science theorised by the Pre-Raphaelites in their early essays. As the main theorists (rather than practitioners) of Pre-Raphaelite art, F. G. Stephens and William Michael Rossetti defined the Pre-Raphaelite project in terms of observation, investigation, experiment, the “adherence to fact” and the “search after truth”. In the hands of the early Pre-Raphaelite poets, and particularly Rossetti himself, poetry too becomes a mode of scientific enquiry into the natural world, the nature of observation, human psychology and medical practice.

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The recent reorientation of early modern studies draws attention to the Renaissance stage as a site of exploration of images of the Islamic world. This article examines the use of ancient and contemporary Persia in William Cartwright’s The Royall Slave (1636), in which Persia figures as a convenient space through which to examine political issues relevant to the audience at home in England. Assessing the construction of idealized societies and rulers in the play, The Royall Slave is a contemporary Court and academic drama that demonstrates its importance as one of a number of synchronous texts that represent Persia.

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We present a version of the Poincare-Bendixson Theorem on the Klein bottle K(2) for continuous vector fields. As a consequence, we obtain the fact that K(2) does not admit continuous vector fields having a omega-recurrent injective trajectory.

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The main purpose of this work is to study fixed points of fiber-preserving maps over the circle S(1) for spaces which are fiber bundles over S(1) and the fiber is the Klein bottle K. We classify all such maps which can be deformed fiberwise to a fixed point free map. The similar problem for torus fiber bundles over S(1) has been solved recently.

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The authors study the coincidence theory for pairs of maps from the Torus to the Klein bottle. Reidemeister classes and the Nielsen number are computed, and it is shown that any given pair of maps satisfies the Wecken property. The 1-parameter Wecken property is studied and a partial negative answer is derived. That is for all pairs of coincidence free maps a countable family of pairs of maps in the homotopy class is constructed such that no two members may be joined by a coincidence free homotopy.

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William Levine was born on December 25, 1865 and died on July 6, 1946. This scrapbook includes photographs, memorials by family members, obituary, documents such as deeds, and an account book.