1,721,512 research outputs found

    Zindler-type hypersurfaces in R^4

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    In this paper the definition of Zindler-type hypersurfaces is introduced in R4\mathbb{R}^4 as a generalization of planar Zindler curves. After recalling some properties of planar Zindler curves, it is shown that Zindler hypersurfaces satisfy similar properties. Techniques from quaternions and symplectic geometry are used. Moreover, each Zindler hypersurface is fibrated by space Zindler curves that correspond, in the convex case, to some space curves of constant width lying on the associated hypersurface of constant width and with the same symplectic area

    On Zindler Curves in Normed Planes

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    AbstractWe extend the notion of Zindler curve from the Euclidean plane to normed planes. A characterization of Zindler curves for general normed planes is given, and the relation between Zindler curves and curves of constant area-halving distances in such planes is discussed.</jats:p

    Zindler curves in non-Euclidean geometry

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    In this paper Zindler curves are studied in elliptic and hyperbolic planes. In some cases, these curves are associated to self-parallel curves through a double-traced closed curve with an odd number of singularities via front tire-track curves and parallel curves. It is shown that similar properties to those of planar Zindler curves are satisfied as well. Moreover, easy explicit parameterizations of these curves can be given through Leichtweiss support functions and some examples are constructed

    Algebraic equations for constant width curves and Zindler curves

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    An explicit method to compute algebraic equations of curves of constant width and Zindler curves generated by a family of middle hedgehogs is given thanks to a property of Chebyshev polynomials. This extends the methodology used by Rabinowitz and Martinez-Maure in particular constant width curves to generate a full family of algebraic equations, both of curves of constant width and Zindler curves, defined by trigonometric polynomials as support functions

    Las curvas de Zindler y su relación con el problema 19 del “libro escocés

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    Este trabajo de grado surge por iniciativa propia, debido a una ponencia del profesor Oscar Molina de la Universidad Pedagógica Nacional, acerca de las figuras de ancho constante. A partir de allí, se indagó sobre la relación que tienen estas figuras con las curvas de Zindler. Por esto, se realizó una documentación sobre las curvas de Zindler y se encontró que estaban directamente relacionadas con un problema escrito en el llamado “Libro Escocés”, por lo tanto, se decidió enfocar el trabajo de grado, hacia la comprensión del problema y las respuestas que se han encontrado hasta ahora, como lo afirma Montejano (1998). Se realiza un reporte, en el cual se presentan las respuestas encontradas en las fuentes, justificándolas a partir de algunos elementos teóricos, sobre las figuras de ancho constante y su relación con las curvas de Zindler

    Rezension: Zindler: Kultur ist Politik ist Kultur

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    Markus Wegewitz hat im Rezensionsjournal sehepunkte den folgenden Titel besprochen: Frederike Zindler: Kultur ist Politik ist Kultur. Der Emigrant und "Holländer" H. Wielek (1912-1988) als Mittler im deutsch-niederländischen Raum, Wien: Praesens 2017, in: sehepunkte 19 (2019), Nr. 11 [15.11.2019], URL: http://www.sehepunkte.de/2019/11/31685.html Frederike hatte auf dem fünften ADNG-Workshop in Amsterdam (2013) einen Vortrag mit dem Titel „Wilhelm Kweksilber (1912-1988, Pseudonym: H. Wielek)..

    Grammatik für Sprachlernzwecke

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    Schmidt R. Grammatik für Sprachlernzwecke. In: Wolff A, Zindler H, eds. Heterogene Lernergruppen. Arbeitstechniken. Deutsche DaF-Lehrende im Ausland. Forum DaF. Materialien Deutsch als Fremdsprache ; 30. Regensburg: Arbeitskreis Deutsch als Fremdsprache beim Fachverband Deutsch als Fremdsprache; 1991: 27-41
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