Addition Theorems
The Weierstrass elliptic functions have several properties that may be proved:
(a symmetrical version would be
where u + v + w = 0).
Also
and the duplication formula
unless 2z is a period.
Read more about this topic: Weierstrass's Elliptic Functions
Famous quotes containing the word addition:
“Depend upon it there comes a time when for every addition of knowledge you forget something that you knew before. It is of the highest importance, therefore, not to have useless facts elbowing out the useful ones.”
—Sir Arthur Conan Doyle (18591930)