Previous |  Up |  Next

Article

Title: An algebraic addition-theorem for Weierstrass' elliptic function and nomograms (English)
Author: Matsuda, Akira
Language: English
Journal: Aplikace matematiky
ISSN: 0373-6725
Volume: 24
Issue: 5
Year: 1979
Pages: 372-381
Summary lang: English
Summary lang: Czech
Summary lang: Russian
.
Category: math
.
Summary: A dual transformation is discussed, by which a concurrent chart represented by one equation is transformed into an alignment chart or into a tangential contact chart. Using this transformation an alignment chart where three scales coincide and a tangential contact chart consisting of a family of circles, which represent the relation $u+v+w=0$, are constructed. In this case, a form of the addition-theorem for Weierstrass' function involving no derivative is used. (English)
Keyword: Weierstrass’ elliptic functions
Keyword: addition theorem
MSC: 30D30
MSC: 33E05
MSC: 65D99
idZBL: Zbl 0454.33002
idMR: MR0547040
.
Date available: 2008-05-20T18:12:45Z
Last updated: 2015-07-13
Stable URL: http://hdl.handle.net/10338.dmlcz/103817
.
Reference: [1] Tannery J., Molk J.: Éléments de la Théorie des Fonctions Elliptiques.Tome 3, (Paris 1893), Chelsea Publishing Company, New York, 1972, 96-98. Zbl 0296.33003
Reference: [2] Matsuda A., Morita K.: Geometric Transformations between General Concurrent Charts and Tangential Contact Charts.Aplikace matematiky, 21 (1976), 237-240, 250. Zbl 0368.65065, MR 0416078
Reference: [3] Epstein L. I.: Nomography.Interscience Publishers, Inc., New York, 1958, 118-129. Zbl 0084.11803, MR 0107990
.

Files

Files Size Format View
AplMat_24-1979-5_6.pdf 1.150Mb application/pdf View/Open
Back to standard record
Partner of
EuDML logo