An algebraic addition-theorem for Weierstrass' elliptic function and nomograms

Akira Matsuda

Aplikace matematiky (1979)

  • Volume: 24, Issue: 5, page 372-381
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Matsuda, 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 -

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