That did exactly what I wanted to do!  Thank you very much for taking
the time to reply.  The command C = [var("C_%s" % i) for i in
range(n)] in particular is what I was looking for.  I think I can
glean how %s works from how you've used it and will experiment a
little.  However if you, or anyone else, could point me in the
direction of some documentation for it that would be much
appreciated.  It's sort of hard to google/search.


On Apr 1, 7:50 pm, Minh Nguyen <nguyenmi...@gmail.com> wrote:
> Hi,
>
> On Fri, Apr 2, 2010 at 12:36 PM, scott.h <scott.he...@gmail.com> wrote:
>
> <SNIP>
>
> > It seems like this should be simple but for the life of me I can't
> > figure out how to do it.
>
> Here I'm taking a guess at what you really want to do. See the
> following Sage session:
>
> [mv...@sage ~]$ sage
> ----------------------------------------------------------------------
> | Sage Version 4.3.5, Release Date: 2010-03-28                       |
> | Type notebook() for the GUI, and license() for information.        |
> ----------------------------------------------------------------------
> sage: n = 3
> sage: M = random_matrix(ZZ, nrows=n); M
> [ 2  2 -2]
> [ 4  2 -7]
> [ 2 -1  1]
> sage: # create a list of unknown constants; these are actually
> symbolic variables
> sage: C = [var("C_%s" % i) for i in range(n)]; C
> [C_0, C_1, C_2]
> sage: X = [randint(1, 10) for i in range(n)]; X
> [2, 3, 2]
> sage: F = [C[i] * exp(M[i,i] * x) for i in range(n)]; F
> [C_0*e^(2*x), C_1*e^(2*x), C_2*e^x]
> sage: [F[i].substitute(x=X[i]) for i in range(n)]
> [C_0*e^4, C_1*e^6, C_2*e^2]
>
> --
> Regards
> Minh Van Nguyen

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