| 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 |
| DOI:
|
10.21136/AM.1979.103817 |
| . |
| Date available:
|
2008-05-20T18:12:45Z |
| Last updated:
|
2020-07-28 |
| 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 |
| . |
