Some experiments in algebraic manipulation by computer

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Some experiments in algebraic manipulation by computer

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Communications of the ACM archive
Volume 8 , Issue 8 (August 1965) table of contents

Pages: 501 - 508

Year of Publication: 1965

ISSN:0001-0782

Authors

Arnold Lapidus	New York Univ., New York
Max Goldstein	New York Univ., New York

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 4, Downloads (12 Months): 18, Citation Count: 5

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abstract references cited by index terms collaborative colleagues

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ABSTRACT

A set of subroutines to allow algebraic manipulations on the IBM 7094 computer has been written using a List Processor, SLIP. A series of four problems of increasing difficulty were solved using these routines.

REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	BROWN, W.S. The ALPAK system for nonnumerical algebra on a digital computer-I: Polynomials in several variables and truncated power series with polynomial coefficients. Bell Sys. Tech. J. 42 (1963), 2081.
	2	SAMMET, Z. E., AND BOND, E .R . Introduction to FORMAC. IEEE Trans. EC (Aug. 1964).
	3	RICHTMYER, R. D. Detached-shock calculations by power series I. AEC Res. Develop. Rep. NYO-7973, Couraut Inst. of Math. Sci., NYU, 1957.
	4	LEWIS, G. E. Two methods using power series for solving analytic initial value problems. AEC Res. Develop. Rep. NYO-2881, Courant Inst. of Math. Sci., NYU, 1960.
	5	LEAVITT, ,1-. A power series solution for compressible flow past a conical shock wave. AEC Res. Develop. Rep. NYO 10,432, Courant Inst. of Math. Sci., NYU.
	6	---. NU POWR-Power series package. SHARE Distr. No. 1569, 1963.
	7	SHAPIRO, M. NYU DIFF-Analytic differentiation FORT- RAN and PAP coded-7090. No. 0-640227 AEC Comput. and Appl. Math. Ctr., NYU, 1964.
	8	J. Weizenbaum, Symmetric list processor, Communications of the ACM, v.6 n.9, p.524-536, Sept. 1963 [doi>10.1145/367593.367617]
	9	GLASNER, J., OCKEN, S., ROSENBERG, D., SCHWARTZ, J., SHAPIRO, G., AND SILVERMAN, A. The NU-SPEAK system. AEC Res. Develop. Rep. NYO 14809, Courant Inst. of Math. Sci., NYU.
	10	QUARLES, D. A moving coordinate method for shock wave calculations-stability theory including shock boundary conditions. Doctoral Dissertation, NYU, Oct. 1964.
	11	GOLDSTEIN, M., AND THALER, R. M. Bessel functions for large arguments. In Math. Tables and Other Aids to Computation 12, 61 (Jan. 1958), 18.
	12	LAPmVS, A. NU SAVE-subroutine to use stacks or pushdown lists. No. 0-630916 AEC Comput. and Appl. Math. Ctr., NYU, 1963.
	13	A. J. Perlis , Renato Iturriaga, An extension to ALGOL for manipulating formulae, Communications of the ACM, v.7 n.2, p.127-130, Feb. 1964 [doi>10.1145/363921.363943]

CITED BY 5

	Bernice Bender, A computer system for algebra and analytic differentiation, Proceedings of the first ACM symposium on Symbolic and algebraic manipulation, p.0201-0227, January 1966
	Jean E. Sammet, Survey of formula manipulation, Communications of the ACM, v.9 n.8, p.555-569, Aug. 1966
	Lapidus , Arnold , Goldstein , Max , Greenspan , Samuel, An algebraic manipulator using SLIP, Proceedings of the first ACM symposium on Symbolic and algebraic manipulation, p.1401-1408, January 1966
	Robert G. Tobey, Eliminating monotonous mathematics with FORMAC, Communications of the ACM, v.9 n.10, p.742-751, Oct. 1966
	F. H. Sage , D. V. Smith, The introduction of a paging technique into the symmetric list processor, SLIP, ACM SIGSAM Bulletin