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2000
Springer
14 years 11 days ago
A Constructive Proof of the Fundamental Theorem of Algebra without Using the Rationals
Abstract. In the FTA project in Nijmegen we have formalized a constructive proof of the Fundamental Theorem of Algebra. In the formalization, we have first defined the (constructiv...
Herman Geuvers, Freek Wiedijk, Jan Zwanenburg
ISMVL
2010
IEEE
166views Hardware» more  ISMVL 2010»
14 years 7 days ago
Non-deterministic Multi-valued Logics--A Tutorial
Non-deterministic multi-valued matrices (Nmatrices) are a new, fruitful and quickly expanding field of research first introduced a few years ago. Since then it has been rapidly ...
Arnon Avron, Anna Zamansky
DAGM
2010
Springer
13 years 10 months ago
3D Object Detection Using a Fast Voxel-Wise Local Spherical Fourier Tensor Transformation
In this paper we present a novel approach for expanding spherical 3D-tensor fields of arbitrary order in terms of a tensor valued local Fourier basis. For an efficient implementati...
Henrik Skibbe, Marco Reisert, Thorsten Schmidt, Kl...
AML
2010
96views more  AML 2010»
13 years 9 months ago
Implicational (semilinear) logics I: a new hierarchy
In Abstract Algebraic Logic, the general study of propositional non-classical logics has been traditionally based on the abstraction of the Lindenbaum-Tarski process. In this proce...
Petr Cintula, Carles Noguera
FOCM
2002
108views more  FOCM 2002»
13 years 8 months ago
Geometric Integration Algorithms on Homogeneous Manifolds
Given an ordinary differential equation on a homogeneous manifold, one can construct a "geometric integrator" by determining a compatible ordinary differential equation ...
Debra Lewis, Peter J. Olver