Hi Avril,

One approach to check parity for example could be:

sage: f(x) = 1/(1-x^2)
sage: bool(f(x) == f(-x))
True

whereas f is not odd as:

sage: bool(f(x) == -f(-x))
False

There might well be an attribute, method on functions that does this also
but I'm not aware of it.
Vince


On 12 October 2013 11:03, Avril Coghlan <[email protected]> wrote:

> Dear all,
>
> I'm wondering whether there is a way to use SAGE to test whether a
> function such as:
> f(x) = 1/(1 - x^2)
> or
> f(x) = sin(x)
> is an odd function, even function, or periodic?
>
> I'm a Maths student, and am not sure if this is possible, or is a silly
> question (it seems to me quite a hard thing to check, but I could be
> totally wrong),
>
> Regards,
> Avril
> Avril Coghlan
>
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+Vincent Knight
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