Sciweavers

AISC
2010
Springer
13 years 9 months ago
On Krawtchouk Transforms
Krawtchouk polynomials appear in a variety of contexts, most notably as orthogonal polynomials and in coding theory via the Krawtchouk transform. We present an operator calculus fo...
Philip Feinsilver, René Schott
AISC
2010
Springer
13 years 9 months ago
Towards MKM in the Large: Modular Representation and Scalable Software Architecture
Abstract. MKM has been defined as the quest for technologies to manage mathematical knowledge. MKM “in the small” is well-studied, so the real problem is to scale up to large,...
Michael Kohlhase, Florian Rabe, Vyacheslav Zholude...
AISC
2010
Springer
13 years 9 months ago
Notations Around the World: Census and Exploitation
Mathematical notations around the world are diverse. Not as much as requiring computing machines’ makers to adapt to each culture, but as much as to disorient a person landing on...
Paul Libbrecht
AISC
2010
Springer
13 years 9 months ago
Symbolic Domain Decomposition
Decomposing the domain of a function into parts has many uses in mathematics. A domain may naturally be a union of pieces, a function may be defined by cases, or different bounda...
Jacques Carette, Alan P. Sexton, Volker Sorge, Ste...
AISC
2010
Springer
13 years 9 months ago
A Revisited Perspective on Symbolic Mathematical Computing and Artificial Intelligence
We provide a perspective on the current state and possible future of links between symbolic mathematical computing and artificial intelligence, on the occasion of the 10th biennial...
Jacques Calmet, John A. Campbell
AISC
2010
Springer
13 years 9 months ago
Reducing Expression Size Using Rule-Based Integration
This paper describes continuing progress on the development of a repository of transformation rules relevant to indefinite integration. The methodology, however, is not restricted...
David J. Jeffrey, Albert D. Rich
AISC
2010
Springer
13 years 9 months ago
Adapting Mathematical Domain Reasoners
Abstract. Mathematical learning environments help students in mastering mathematical knowledge. Mature environments typically offer thousands of interactive exercises. Providing f...
Bastiaan Heeren, Johan Jeuring
AISC
2010
Springer
13 years 9 months ago
Formal Proof of SCHUR Conjugate Function
Abstract. The main goal of our work is to formally prove the correctness of the key commands of the SCHUR software, an interactive program for calculating with characters of Lie gr...
Franck Butelle, Florent Hivert, Micaela Mayero, Fr...