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Function composition not working

asked 4 years ago

tarix29 gravatar image

updated 2 years ago

tmonteil gravatar image

I'm experiencing some strange behavior when composing two basic functions. My OS is Windows 10. Here is an example:

sage: r=var('r')
sage: s=var('s')
sage: f(r)=r**2
sage: g(r)=r**(1/2)
sage: f(g(r))
sqrt(r)
sage: f(g(s))
s

Whenever I evaluate the functions at the variable they were defined with (or even if just the outer function was defined with it), Sage returns the inner function as the result. This seems to happen only when the two functions are inverses of each other, since it behaves as expected with f(r)=r2 and g(r)=r1/3, returning r2/3.

Is this a known issue? Is this somehow expected behavior? Thanks for any help.

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answered 4 years ago

slelievre gravatar image

This bug was recently fixed.

In Sage 9.3.beta9:

sage: r, s = SR.var('r, s')
sage: f(r) = r**2
sage: g(r) = r**(1/2)
sage: f(g(r))
r
sage: f(g(s))
s
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Asked: 4 years ago

Seen: 754 times

Last updated: Mar 18 '21