نتایج جستجو برای: symbolic computation

تعداد نتایج: 169735  

1995
B. Char K. Geddes G. Gonnet B. Leong M. Monagan E. A. Lee B. L. Evans D. R. Firth K. D. White P. P. Vaidyanathan

This paper examines some of the roles that symbolic computation plays in assisting system-level simulation and design. By symbolic computation, we mean programs like Mathematica that perform symbolic algebra and apply transformation rules based on algebraic identities. At a behavioral level, symbolic computation can compute parameters, generate new models, and optimize parameter settings. At th...

2000
João Pedro Neto J. Félix Costa Ademar Ferreira

In a recent short paper and a report (see [Neto et al. 98] and [Neto and Costa 99]) it was shown that programming languages can be translated efficiently on recurrent (analog, rational weighted) neural nets, using bounded resources. This fact was achieved by creating a neural programming language called NETDEF, such that each program corresponds to a modular neural net that computes it. This fr...

1999
ERICH KALTOFEN Bobby F. Caviness

The success of the symbolic mathematical computation discipline is striking. The theoretical advances have been continuous and significant: Gröbner bases, the Risch integration algorithm, integer lattice basis reduction, hypergeometric summation algorithms, etc. From the beginning in the early 1960s, it has been the tradition of our discipline to create software that makes our ideas readily ava...

Journal: :International Journal of Shape Modeling 2007
Xianming Chen Richard F. Riesenfeld Elaine Cohen

Symbolic computation of NURBS plays an important role in many areas of NURBSbased geometric computation and design. However, any nontrivial symbolic computation, especially when rational B-splines are involved, would typically result in B-splines with high degrees. In this paper we develop degree reduction strategies for NURBS symbolic computation on curves. The specific topics we consider incl...

2007
Stéphane Demri Valentin Goranko

2003
Wolfram Koepf

Twentyfive years ago when I studied Physics, only one of the students who participated in a laboratory course that I took was possessing one of the first calculators to process the data we were obtaining. Believe it or not, everybody else, including me, had to use a slide-rule for this purpose. Nowadays, the calculator is used by everybody, by far not only for academic purposes. Hence it is the...

Journal: :Journal of Computational and Applied Mathematics 2010

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