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# min(f,g) where f and g take two variables

Hi

Is it possible to create a function h(x,y) that would be the minimum (or maximum) of any two other 2-variable functions?

Like h(x,y)=max(f(x,y),g(x,y))? (this does not work)

This seems to be a rather useful function but I can't seem to find it.

any ideas?

Thanks N.

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## Comments

Just for reference for those finding this, this is nearly the same question as http://ask.sagemath.org/question/1338/defining-a-function-and-forcing-max-or-min-value ... which apparently you asked? (It says anonymous but you replied later.) I'm wondering if maybe we misinterpreted one of your questions and gave a less than useful answer.

## 1 Answer

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For example:

sage: h(x,y)=max_symbolic(x^2-y^2,y^2-x^2)
sage: plot3d(h(x,y),(x,-1,1),(y,-1,1))

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## Stats

Asked: 2012-04-19 15:52:55 +0200

Seen: 546 times

Last updated: Apr 19 '12