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Record 15 of 636
Sin(x)**2 + cos(x)**2 = 1. [programming identities using comparative combinatorial substitutions]
Author and Affiliation:
Stoutemyer, D. R.(Hawaii Univ., Honolulu, HI, United States)
Abstract: Attempts to achieve tasteful automatic employment of the identities sin sq x + cos sq x = 1 and cos sq h x -sin sq h x = 1 in a manner which truly minimizes the complexity of the resulting expression are described. The disappointments of trigonometric reduction, trigonometric expansion, pattern matching, Poisson series, and Demoivre's theorem are related. The advantages of using the method of comparative combinatorial substitutions are illustrated.
Publication Date: Jan 01, 1977
Document ID:
19770021844
(Acquired Nov 18, 1995)
Accession Number: 77N28788
Subject Category: NUMERICAL ANALYSIS
Document Type: Conference Paper
Publication Information: NASA. Langley Res. Center Proc. of the 1977 MACSYMA Users' Conf. (NASA); p 425-433
Publisher Information: United States
Contract/Grant/Task Num: NSF MCS-75-22893
Financial Sponsor: NASA; United States
Organization Source: Hawaii Univ.; Honolulu, HI, United States
Description: 9p; In English
Distribution Limits: Unclassified; Publicly available; Unlimited
Rights: No Copyright
NASA Terms: COMBINATORIAL ANALYSIS; COMPUTER PROGRAMMING; COSINE SERIES; IDENTITIES; SINE SERIES; ALGEBRA; CARTESIAN COORDINATES; POISSON EQUATION
Imprint And Other Notes: In NASA. Langley Res. Center Proc. of the 1977 MACSYMA Users' Conf. (NASA) p 425-433 (SEE N77-28750 19-59)
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