17 citations · 77 across the 28 of their papers we have counts for
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cs.SC2010
Symbolic Domain Decomposition
Jacques Carette, Alan P. Sexton, Volker Sorge +1
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 boundary…
cs.SC2010
The Power of Vocabulary: The Case of Cyclotomic Polynomials
Jacques Carette, James H. Davenport
We observe that the vocabulary used to construct the "answer" to problems in computer algebra can have a dramatic effect on the computational complexity of solving that problem. We…
cs.SC2007★ 4 cited
A canonical form for some piecewise defined functions
Jacques Carette
We define a canonical form for piecewise defined functions. We show that this has a wider range of application as well as better complexity properties than previous work.