#6371: Implement Riemann theta functions
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Reporter: ncalexan | Owner: cswiercz
Type: enhancement | Status: needs_work
Priority: minor | Milestone: sage-4.8
Component: numerical | Keywords: riemann theta
klein
Work_issues: | Upstream: N/A
Reviewer: Marco Streng, Bernard Deconinck | Author: Nick
Alexander, Chris Swierczewski
Merged: | Dependencies:
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Comment(by cswiercz):
Marco,
> :) Actually, when I use theta functions in my research, Omega is usually
the variable and z is usually some fixed vector in with entries in QQ.
>
> Anyway, what is the (programming technical) reason for having objects
that depend on Omega? Is there some kind of caching involved? Some part of
the algorithm that depends on Omega only and that you only want to do
once?
Interesting. I've only seen one other instance in which Omega was varied:
it was in the context of solving particular boundary value problems.) If
you don't mind, do you have a paper you can send me about your work?
(cswiercz [at] gmail ]dot[ com)
I agree that there should be no distinction between the two parameters.
From what I understood about {{{BuiltinFunction}}, though, the purpose of
distinguishing Omega as a parameter is to make it easy to send symbolic
output. Since I initially made this decision, however, I've learned more
about the way Sage ({{{BuiltinFuncion}}}?) handles inputs and determines
if they're symbolic. A rewriting of the way arguments are sent to
{{{RiemannTheta}}} should be possible.
I'll see what I can do about restructuring the code. Thank you very much
for your input and suggestions. I'll keep everyone posted on my (slow)
progress.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6371#comment:34>
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