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FOCM
2006
76views more  FOCM 2006»
13 years 7 months ago
The Hopf Algebra of Rooted Trees, Free Lie Algebras, and Lie Series
We present an approach that allows performing computations related to the Baker-Campbell-Haussdorff (BCH) formula and its generalizations in an arbitrary Hall basis, using labeled...
A. Murua
ISM
2006
IEEE
113views Multimedia» more  ISM 2006»
14 years 1 months ago
Individualization and Flexibility through Computer Algebra Systems in Virtual Laboratories
Virtual labs enable field specific experiments and open them for collaborative and distributed usage. In order to realize comprehensive laboratory set-ups providing a scientifi...
Sabina Jeschke, Thomas Richter
CSC
2006
13 years 9 months ago
Analytical solution of problems in heat transfer for pyramidal spines using Computer Algebra
: The solution of the equation of heat transfer for pyramidal spines is obtained using computer algebra software. We consider pyramidal spines with three different sectional areas:...
Juan Felipe Paschke, Juan Ospina
BIRTHDAY
2009
Springer
14 years 2 months ago
Formal Series of General Algebras over a Field and Their Syntactic Algebras
Any mapping S : C → K, where K is a field and C = (C, Σ) is a Σ-algebra, is called a KC-series. These series are natural generalizations of both formal series on strings over...
Zoltán Fülöp, Magnus Steinby
GIAE
2004
Springer
181views Mathematics» more  GIAE 2004»
14 years 28 days ago
Applications of Conformal Geometric Algebra in Computer Vision and Graphics
Abstract. This paper introduces the mathematical framework of conformal geometric algebra (CGA) as a language for computer graphics and computer vision. Specifically it discusses ...
Rich Wareham, Jonathan Cameron, Joan Lasenby