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FCCM
2009
IEEE
204views VLSI» more  FCCM 2009»
13 years 11 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...
COMPGEOM
2008
ACM
13 years 9 months ago
Exact geometric-topological analysis of algebraic surfaces
We present a method to compute the exact topology of a real algebraic surface S, implicitly given by a polynomial f
Eric Berberich, Michael Kerber, Michael Sagraloff
ISSAC
1992
Springer
95views Mathematics» more  ISSAC 1992»
13 years 11 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
AB
2008
Springer
14 years 1 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
GC
2011
Springer
12 years 11 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