On Wed, Aug 26, 2009 at 2:39 PM, Jason Grout<jason-s...@creativetrax.com> wrote:
>
> Nathann Cohen wrote:
>>> Yes, you can use indexation like some_oovar[i] or some_oofun[i]
>>> (probably with several indexes, or negative ones that are start from
>>> array end), however, I think it should be avoided if possible (you'd
>>> better split your oovar into several 
>>> oovars).http://www.openopt.org/FuncDesignerDoc#Some_issues_to_be_aware
>>
>> I sent a message on sage-support to know to which extent I could use
>> multivariate Polynomials in Sage to represent constraints and Linear
>> functions, but it seems to be troublesome... This said, there is no
>> way for me to use Linear Programming if I can not use indexed
>> variables... At the moment, even though the syntax could be
>> tremendously improved, I can use any hashable Sage object as a
>> variable, and most of the time in Graph theoretic function my
>> variables are edges, vertices, or arbitrary tuples and strings.
>> Anyway, most of the Linear Programs are generated from graphs and I
>> have to find a way to let a computer create as many variables as
>> possible :-/
>> The current syntax, though, is not nearly satisfying.
>>
>
> I should mention that at various times, people have proposed that you
> could create symbolic variables x[1], x[2], etc.  As far as I know,
> these proposals have just been ideas and have never been implemented or
> experimented with.
>
> Maybe we could make x[1] a symbolic variable automatically.  We would
> have to make an indexing function for symbolic variables that would
> return a symbolic variable that would be cached somewhere (so that x[1]
> always referred to the same variable).  That would also give us nested
> indices, as x[1][1] would take a symbolic variable x, create a new one
> x[1], and then x[1] would create another symbolic variable x[1][1].
>

That sounds pretty easy to implement by defining __getitem__ for
symbolic variables, and making it cache its answer using a dictionary.
 Should one only allow x[integer] or more generally x[anything
hashable]?

William

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