zee -
The  arguement notation for elliptic integrals are several, I find that for my CAD work I end-up with: u ( x=sn.) That is; ~ Jacobiain elliptic functions  for defining structural shapes to my drawings.
I wish my knowledge of 'Legendre form' was more solid. very very small tic.  

--Last edited by very very small tic on 2007-02-05 15:26:21 --

Do you mean something like

and

very very small t, do you read Mathematica?

do your arguements look anything like the Mathematica doc at this  Url


http://documents.wolfram.com/v5/TheMathematicaBook/AdvancedMathematicsInMathematica/MathematicalFunctions/3.2.11.html





I will try and find Solvers. zee

Up until now I have been turning shorthand calculations in non-zero 'a' polynoms in quartic  

--Last edited by very very small tic on 2007-02-06 00:15:20 --

Did you know
Mathematica can solve quartic equations exactly using the built-in command Solve[a4 x^4 + a3 x^3 + a2 x^2 + a1 x + a0 == 0, x]. The solution can also be expressed in terms of Mathematica algebraic root objects by  issuing SetOptions [Roots, Quartics->False]

Quote :

zee wrote : Did you know Mathematica can solve quartic equations exactly using the built-in command Solve[a4 x^4 + a3 x^3 + a2 x^2 + a1 x + a0 == 0, x]. The solution can also be expressed in terms of Mathematica algebraic root objects by  issuing SetOptions [Roots, Quartics->False]

Interesting. I may look at the application and try out with //The Data Visualizer O-Matrix add-on graph reps.

O-Matrix vertices of the plot grid something

http://planetmath.org/encyclopedia/EllipticIntegralsAndJacobiEllipticFunctions.html

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http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Elliptic_functions.html



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