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VISUALIZATION
2002
IEEE
14 years 3 months ago
Computing Singularities of 3D Vector Fields with Geometric Algebra
Critical points of a vector field are key to their characterization. Not only their positions but also their indexes are crucial for understanding vector fields. Considerable wo...
Stephen Mann, Alyn P. Rockwood
FCCM
2009
IEEE
204views VLSI» more  FCCM 2009»
14 years 1 months ago
Acceleration and Energy Efficiency of a Geometric Algebra Computation using Reconfigurable Computers and GPUs
Geometric algebra (GA) is a mathematical framework that allows the compact description of geometric relationships and algorithms in many fields of science and engineering. The exe...
Holger Lange, Florian Stock, Andreas Koch, Dietmar...
AB
2008
Springer
14 years 4 months ago
Neural Algebra and Consciousness: A Theory of Structural Functionality in Neural Nets
Abstract. Thoughts are spatio-temporal patterns of coalitions of firing neurons and their interconnections. Neural algebras represent these patterns as formal algebraic objects, a...
Erwin Engeler
ISSAC
1992
Springer
95views Mathematics» more  ISSAC 1992»
14 years 2 months ago
Real Algebraic Closure of an Ordered Field: Implementation in Axiom
Real algebraic numbers appear in many Computer Algebra pro bJems. For inst ante the determination of a cylindrical algebraic decomposition for an euclidian space requires compu ti...
Renaud Rioboo
GC
2011
Springer
13 years 1 months ago
A Note on the Complexity of Real Algebraic Hypersurfaces
Given an algebraic hypersurface O in Êd, how many simplices are necessary for a simplicial complex isotopic to O? We address this problem and the variant where all vertices of the...
Michael Kerber, Michael Sagraloff