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2015-02-15 13:35:34 -0500 | commented question | Detecting extrema and asymptotes of (nasty) functions of two variables @vdelecroix P.S. That limiting value can either be a relative extreme or an asymptote. I don't care which. |

2015-02-15 13:00:22 -0500 | commented question | Detecting extrema and asymptotes of (nasty) functions of two variables @vdelecroix Sure: what I want is either a limiting value or to know that every value is attainable. I don't care where in the domain I have to go to get there. I want to know if Sage has an algorithmic way to do this. You're right about the ambiguity though, but in practice, I look at single examples at a time and am able to quickly determine limiting behavior. I'd like to do a few hundred (or more) at once though. Does this answer your question? |

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2015-02-14 13:33:18 -0500 | asked a question | Detecting extrema and asymptotes of (nasty) functions of two variables I have a rational function of two variables* whose extrema and limiting behavior I am intersted in. Basically I want to know what values it *For those interested, the function is the j-invariant of an elliptic curve, and I'm interested in a family of such curves. It's a function of two variables as the curve is found as a particular hyperplane section of a surface, and I have a two parameter family. |

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