An algebraic addition-theorem for Weierstrass' elliptic function and nomograms
Aplikace matematiky (1979)
- Volume: 24, Issue: 5, page 372-381
- ISSN: 0862-7940
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topMatsuda, Akira. "An algebraic addition-theorem for Weierstrass' elliptic function and nomograms." Aplikace matematiky 24.5 (1979): 372-381. <http://eudml.org/doc/15113>.
@article{Matsuda1979,
abstract = {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.},
author = {Matsuda, Akira},
journal = {Aplikace matematiky},
keywords = {Weierstrass’ elliptic functions; addition theorem; Weierstrass' elliptic functions; addition theorem},
language = {eng},
number = {5},
pages = {372-381},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {An algebraic addition-theorem for Weierstrass' elliptic function and nomograms},
url = {http://eudml.org/doc/15113},
volume = {24},
year = {1979},
}
TY - JOUR
AU - Matsuda, Akira
TI - An algebraic addition-theorem for Weierstrass' elliptic function and nomograms
JO - Aplikace matematiky
PY - 1979
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 24
IS - 5
SP - 372
EP - 381
AB - 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.
LA - eng
KW - Weierstrass’ elliptic functions; addition theorem; Weierstrass' elliptic functions; addition theorem
UR - http://eudml.org/doc/15113
ER -
References
top- Tannery J., Molk J., Éléments de la Théorie des Fonctions Elliptiques, Tome 3, (Paris 1893), Chelsea Publishing Company, New York, 1972, 96-98. (1972) Zbl0296.33003
- Matsuda A., Morita K., Geometric Transformations between General Concurrent Charts and Tangential Contact Charts, Aplikace matematiky, 21 (1976), 237-240, 250. (1976) Zbl0368.65065MR0416078
- Epstein L. I., Nomography, Interscience Publishers, Inc., New York, 1958, 118-129. (1958) Zbl0084.11803MR0107990
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