Inequalities for inscribed simplex and applications.
Yang, Shiguo, Cheng, Silong (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Yang, Shiguo, Cheng, Silong (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Yang, Shiguo (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Naiman, Daniel Q., Wynn, Henry P. (2001)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Buba-Brzozowa, Malgorzata (2000)
Journal for Geometry and Graphics
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W. Dębski (1990)
Colloquium Mathematicae
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Koźniewski, Edwin, Górska, Renata A. (2000)
Journal for Geometry and Graphics
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Adam Idzik, Konstanty Junosza-Szaniawski (2006)
Discussiones Mathematicae Graph Theory
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We formulate general boundary conditions for a labelling of vertices of a triangulation of a polyhedron by vectors to assure the existence of a balanced simplex. The condition is not for each vertex separately, but for a set of vertices of each boundary simplex. This allows us to formulate a theorem, which is more general than the Sperner lemma and theorems of Shapley; Idzik and Junosza-Szaniawski; van der Laan, Talman and Yang. A generalization of the Poincaré-Miranda theorem is also...
Wu, Shan-He, Bencze, Mihály (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Gao, Chaobang, Wen, Jiajin (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Wu, Yu-Dong (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Dragomir, Sever S. (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Hajja, Mowaffaq (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Tadeusz Januszkiewicz, Jacek Świątkowski (2006)
Publications Mathématiques de l'IHÉS
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We introduce a family of conditions on a simplicial complex that we call local -largeness (≥6 is an integer). They are simply stated, combinatorial and easily checkable. One of our themes is that local 6-largeness is a good analogue of the non-positive curvature: locally 6-large spaces have many properties similar to non-positively curved ones. However, local 6-largeness neither implies nor is implied by non-positive curvature of the standard metric. One can think of these results as...
David A. Edwards, Ondřej F. K. Kalenda, Jiří Spurný (2011)
Bulletin de la Société Mathématique de France
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We provide a corrected proof of [1, Théorème 9] stating that any metrizable infinite-dimensional simplex is affinely homeomorphic to the intersection of a decreasing sequence of Bauer simplices.