(adsbygoogle = window.adsbygoogle || []).push({}); Critical points of maps f:R^n-->R^m , m>1

Hi, Everyone:

I am having trouble figuring out what the critical points would be for any such map

f:R^n -->R^m , m>1.

Problem is that I know sufficient conditions for differentiability (partials exist and

are continuous.) but not necessary ones. So our differential is given by an

mxn matrix. In the case of n=m, we just want the Jacobian matrix to be invertible,

but I am not clear on how to deal with this issue when n=/m.

Any Hints, Please.?

Thanks.

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# Critical points of maps f:R^n->R^m , m>1

**Physics Forums | Science Articles, Homework Help, Discussion**