Indefinite affine hyperspheres admitting a pointwise symmetry. I.
Scharlach, Christine (2007)
Beiträge zur Algebra und Geometrie
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Scharlach, Christine (2007)
Beiträge zur Algebra und Geometrie
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Hà Huy Vui, Pham Tien Son (1999)
Annales Polonici Mathematici
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We determine bifurcation sets of families of affine curves and study the topology of such families.
Scharlach, Christine (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Ljubiša Kocić, Marija Rafajlović (2010)
Kragujevac Journal of Mathematics
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Karol Pąk (2010)
Formalized Mathematics
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In this article we describe the notion of affinely independent subset of a real linear space. First we prove selected theorems concerning operations on linear combinations. Then we introduce affine independence and prove the equivalence of various definitions of this notion. We also introduce the notion of the affine hull, i.e. a subset generated by a set of vectors which is an intersection of all affine sets including the given set. Finally, we introduce and prove selected properties...
Lam, Thomas, Shimozono, Mark (2005)
Séminaire Lotharingien de Combinatoire [electronic only]
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Felaco, Elisabetta, Giuli, Eraldo (2008)
Theory and Applications of Categories [electronic only]
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Azam, Saeid (2002)
Journal of Lie Theory
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Vassiliou, Peter J. (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Kazimierz Nikodem, Zsolt Páles, Szymon Wąsowicz (1999)
Annales Polonici Mathematici
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Sufficient and necessary conditions are presented under which two given functions can be separated by a function Π-affine in Rodé sense (resp. Π-convex, Π-concave). As special cases several old and new separation theorems are obtained.
Clelland, Jeanne N., Moseley, Christopher G., Wilkens, George R. (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Ito, Tatsuro, Terwilliger, Paul (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Miroslava Petrović-Torgašev (2002)
Kragujevac Journal of Mathematics
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