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» On Coherence in Computer Algebra
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AML
2008
57views more  AML 2008»
14 years 10 months ago
Sheaf toposes for realizability
We compare realizability models over partial combinatory algebras by embedding them into sheaf toposes. We then use the machinery of Grothendieck toposes and geometric morphisms t...
Steven Awodey, Andrej Bauer
MOC
2002
82views more  MOC 2002»
14 years 9 months ago
Lie symmetries and differential Galois groups of linear equations
For a linear ordinary differential equation the Lie algebra of its infinitesimal Lie symmetries is compared with its differential Galois group. For this purpose an algebraic formul...
W. R. Oudshoorn, M. van der Put
ICRA
2005
IEEE
130views Robotics» more  ICRA 2005»
15 years 3 months ago
Advanced Geometric Approach for Graphics and Visual Guided Robot Object Manipulation
— This paper presents an approach to deal with standard tasks of computer animations and robotics based on Conformal Geometric Algebra. We will show that this algebra is very wel...
Dietmar Hildenbrand, Eduardo Bayro-Corrochano, Jul...
CORR
2007
Springer
113views Education» more  CORR 2007»
14 years 9 months ago
Geometry and the complexity of matrix multiplication
We survey results in algebraic complexity theory, focusing on matrix multiplication. Our goals are (i.) to show how open questions in algebraic complexity theory are naturally pose...
J. M. Landsberg
ACS
2008
14 years 10 months ago
Algebras Versus Coalgebras
Algebras and coalgebras are fundamental notions for large parts of mathematics. The basic constructions from universal algebra are now expressed in the language of categories and ...
Robert Wisbauer