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GIAE
2004
Springer
129views Mathematics» more  GIAE 2004»
13 years 10 months ago
On Miquel's Five-Circle Theorem
Hongbo Li, Ronghua Xu, Ning Zhang
GIAE
2004
Springer
155views Mathematics» more  GIAE 2004»
13 years 10 months ago
Recent Applications of Conformal Geometric Algebra
We discuss a new covariant approach to geometry, called conformal geometric algebra, concentrating particularly on applications to projective geometry and new hybrid geometries. In...
Anthony N. Lasenby
GIAE
2004
Springer
159views Mathematics» more  GIAE 2004»
13 years 10 months ago
A Survey of Moving Frames
This paper surveys the new, algorithmic theory of moving frames developed by the author and M. Fels. Applications in geometry, computer vision, classical invariant theory, the cal...
Peter J. Olver
GIAE
2004
Springer
119views Mathematics» more  GIAE 2004»
13 years 10 months ago
Polynomial General Solutions for First Order Autonomous ODEs
For a first order autonomous ODE, we give a polynomial time algorithm to decide whether it has a polynomial general solution and to compute one if it exists. Experiments show that...
Ruyong Feng, Xiao-Shan Gao
GIAE
2004
Springer
275views Mathematics» more  GIAE 2004»
13 years 10 months ago
Conic Sections and Meet Intersections in Geometric Algebra
This paper first gives a brief overview over some interesting descriptions of conic sections, showing formulations in the three geometric algebras of Euclidean spaces, projective ...
Eckhard M. S. Hitzer