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CASC
2011
Springer
262views Mathematics» more  CASC 2011»
12 years 4 months ago
Practical Divide-and-Conquer Algorithms for Polynomial Arithmetic
We investigate two practical divide-and-conquer style algorithms for univariate polynomial arithmetic. First we revisit an algorithm originally described by Brent and Kung for comp...
William Hart, Andrew Novocin
JSC
2011
99views more  JSC 2011»
12 years 7 months ago
Sparse polynomial division using a heap
In 1974, Johnson showed how to multiply and divide sparse polynomials using a binary heap. This paper introduces a new algorithm that uses a heap to divide with the same complexit...
Michael B. Monagan, Roman Pearce
IIE
2006
130views more  IIE 2006»
13 years 4 months ago
Animation Tools of CAS for Dynamic Exploration of Mathematics
Abstract. The scope of the paper is animation facilities of computer algebra systems (CAS). Animation offers opportunities for visualization of complex mathematical concepts, provi...
Joana Lipeikiene, Antanas Lipeika
CSJM
2008
91views more  CSJM 2008»
13 years 4 months ago
An algebraic approach to a study of two-dimensional affine differential system
In a present paper a problem of classification of Aff(2, R)orbits' dimensions is considered on example of an autonomous two-dimensional affine differential system of first or...
E. Naidenova
DAGSTUHL
2006
13 years 6 months ago
MathBrush: An Experimental Pen-Based Math System
It is widely believed that mathematics will be one of the major applications for Tablet PCs and other pen-based devices. In this paper we discuss many of the issues that make doin...
George Labahn, Scott MacLean, Mirette S. Marzouk, ...
ISSAC
1997
Springer
105views Mathematics» more  ISSAC 1997»
13 years 8 months ago
Guarded Expressions in Practice
Computer algebra systems typically drop some degenerate cases when evaluating expressions, e.g., x=x becomes 1 dropping the case x = 0. We claim that it is feasible in practice to...
Andreas Dolzmann, Thomas Sturm
AISC
1998
Springer
13 years 8 months ago
Reasoning About Coding Theory: The Benefits We Get from Computer Algebra
The use of computer algebra is usually considered beneficial for mechanised reasoning in mathematical domains. We present a case study, in the application domain of coding theory, ...
Clemens Ballarin, Lawrence C. Paulson
MKM
2009
Springer
13 years 11 months ago
OpenMath in SCIEnce: SCSCP and POPCORN
In this short communication we want to give an overview of how OpenMath is used in the European project “SCIEnce” [12]. The main aim of this project is to allow unified commun...
Peter Horn, Dan Roozemond
CHI
2009
ACM
14 years 5 months ago
Friend or foe?: examining CAS use in mathematics research
Computer Algebra Systems (CAS) provide sophisticated functionality to assist with mathematical problem solving. Despite their widespread adoption, however, little work in the HCI ...
Andrea Bunt, Michael Terry, Edward Lank