Enlarging the REDUCE domain of computation
SYMSAC '86 Proceedings of the fifth ACM symposium on Symbolic and algebraic computation
The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
Computing with Formal Power Series
ACM Transactions on Mathematical Software (TOMS)
Univariate power series expansions in algebraic manipulation
SYMSAC '76 Proceedings of the third ACM symposium on Symbolic and algebraic computation
ACM SIGSAM Bulletin
ACM SIGSAM Bulletin
A MACSYMA solution to problem 8
ACM SIGSAM Bulletin
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We describe the development of a formal power series expansion package for Reduce which takes advantage of Reduce's domain mechanism to make for a seamless integration of series values with the rest of the Reduce system. Consequently, series values may be manipulated with the same algebraic operators as other algebraic objects. To create the illusion of infinite power series a simulated lazy-evaluation mechanism has been used. This paper reports our experience of using the Reduce domain mechanism and documents the algorithms and data structures that can be used to implement and to represent power series.