Re: Remove a critical point and what happens

Posted by Mike2 on June 20, 2003 at 17:35:47:

In Reply to: Re: Remove a critical point and what happens posted by Haelfix on June 20, 2003 at 14:18:17:

I thought a critical point is where every partial with respect to any coordinate system is zero so that no manifold can exist at that point. But singularities are where the funcion is infinite at that point so that some partials are infinite at that point. Since not every partial is zero at a singularity, then it is not technically a critical point, right?

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