differential invariant;
equi-affine group;
equivalence of curves;
D O I:
暂无
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
Let G = SAf f (n, R) be the group of all transformations in R-n as F (x) = gx + b such that g is an element of SL(n, R) and b is an element of R-n The system of generators for the differential algebra of all G-invariant differential polynomials of a pair of curves is found for the group SAf f (n, R). The conditions for G-equivalence of a pair of curves is obtained.
机构:
MIT, Media Lab, Cambridge, MA 02139 USAMIT, Media Lab, Cambridge, MA 02139 USA
Raviv, Dan
Bronstein, Alexander M.
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机构:
Tel Aviv Univ, Sch Elect Engn, IL-69978 Tel Aviv, IsraelMIT, Media Lab, Cambridge, MA 02139 USA
Bronstein, Alexander M.
Bronstein, Michael M.
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机构:
Univ Svizzera Italiana, Inst Computat Sci, Fac Informat, Lugano, SwitzerlandMIT, Media Lab, Cambridge, MA 02139 USA
Bronstein, Michael M.
Waisman, Dan
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机构:
Technion Israel Inst Technol, Carmel Med Ctr, Dept Neonatol, Haifa, Israel
Technion Israel Inst Technol, Fac Med, Haifa, IsraelMIT, Media Lab, Cambridge, MA 02139 USA
Waisman, Dan
Sochen, Nir
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机构:
Tel Aviv Univ, Dept Appl Math, IL-69978 Tel Aviv, IsraelMIT, Media Lab, Cambridge, MA 02139 USA
Sochen, Nir
Kimmel, Ron
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机构:
Technion Israel Inst Technol, Dept Comp Sci, IL-32000 Haifa, IsraelMIT, Media Lab, Cambridge, MA 02139 USA