http://de.evo-art.org/index.php?action=history&feed=atom&title=The_Brachistochrone_Problem_between_Euclidean_and_HyperbolicThe Brachistochrone Problem between Euclidean and Hyperbolic - Versionsgeschichte2026-04-18T15:07:02ZVersionsgeschichte dieser Seite in de_evolutionary_art_orgMediaWiki 1.27.4http://de.evo-art.org/index.php?title=The_Brachistochrone_Problem_between_Euclidean_and_Hyperbolic&diff=4103&oldid=prevGbachelier: Die Seite wurde neu angelegt: „ == Reference == Robert Smits: The Brachistochrone Problem between Euclidean and Hyperbolic. In: Bridges 2008. Pages 87–92 == DOI == == Abstract …“2015-01-30T10:57:31Z<p>Die Seite wurde neu angelegt: „ == Reference == Robert Smits: <a href="/index.php?title=The_Brachistochrone_Problem_between_Euclidean_and_Hyperbolic" title="The Brachistochrone Problem between Euclidean and Hyperbolic">The Brachistochrone Problem between Euclidean and Hyperbolic</a>. In: <a href="/index.php?title=Bridges_2008" title="Bridges 2008">Bridges 2008</a>. Pages 87–92 == DOI == == Abstract …“</p>
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== Reference ==<br />
Robert Smits: [[The Brachistochrone Problem between Euclidean and Hyperbolic]]. In: [[Bridges 2008]]. Pages 87–92 <br />
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== DOI ==<br />
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== Abstract ==<br />
We investigate discrete models of the upper-half plane endowed with various conformal metrics, which in essence<br />
are intermediaries between the standard Euclidean and the hyperbolic ones. The brachistochrone problem is related<br />
to a metric associated to arithmetic sequences.<br />
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== Extended Abstract ==<br />
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== Bibtex == <br />
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== Used References ==<br />
[1] P.-G. de Gennes, Simple Views on Condensed Matter. World Scientific Publishing Company,<br />
1998.<br />
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[2] P. Dombrowski, The Brachistochrone Problem: a Problem of Elementary Differential Geometry,<br />
Geometry and topology of submanifolds, VIII pp. 148-167 World Scientific Publishing Co. 1996<br />
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[3] R. Ferreol and J. Mandonnet, Courbe Brachistochrone at http://www.mathcurve.com/<br />
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[4] J. Hawkins, On Intelligence, Holt Paperbacks 2005<br />
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[5] R. Smits, Square Decompositions with Hyperbolic Consequences in Art, Chemical Physics and<br />
Mathematics, Bridges Proceedings 2003<br />
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== Links ==<br />
=== Full Text === <br />
http://archive.bridgesmathart.org/2008/bridges2008-87.pdf<br />
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[[intern file]]<br />
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=== Sonstige Links ===<br />
http://archive.bridgesmathart.org/2008/bridges2008-87.html</div>Gbachelier