Indefinite affine hyperspheres admitting a pointwise symmetry. I.
Scharlach, Christine (2007)
Beiträge zur Algebra und Geometrie
Similarity:
Scharlach, Christine (2007)
Beiträge zur Algebra und Geometrie
Similarity:
Karol Pąk (2010)
Formalized Mathematics
Similarity:
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...
W. Królikowski, R. Michael Porter (1994)
Annales Polonici Mathematici
Similarity:
The biregular functions in the sense of Fueter are investigated. In particular, the class of LR-biregular mappings (left regular with a right regular inverse) is introduced. Moreover, the existence of non-affine biregular mappings is established via examples. Some applications to the quaternionic manifolds are given.
Ljubiša Kocić, Marija Rafajlović (2010)
Kragujevac Journal of Mathematics
Similarity:
Scharlach, Christine (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Similarity:
Juhnke, Friedrich (2004)
Beiträge zur Algebra und Geometrie
Similarity:
Azam, Saeid (2002)
Journal of Lie Theory
Similarity:
Kazimierz Nikodem, Zsolt Páles, Szymon Wąsowicz (1999)
Annales Polonici Mathematici
Similarity:
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.
Felaco, Elisabetta, Giuli, Eraldo (2008)
Theory and Applications of Categories [electronic only]
Similarity:
Ito, Tatsuro, Terwilliger, Paul (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Similarity:
Sójka, Grzegorz (2003)
Beiträge zur Algebra und Geometrie
Similarity:
Zbigniew Karno (1997)
Colloquium Mathematicae
Similarity:
Huang, Wenling, Wan, Zhexian (2004)
Beiträge zur Algebra und Geometrie
Similarity: