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Topic: Proof that mixed partials commute.
Replies: 20   Last Post: Nov 22, 2013 11:57 PM

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Robin Chapman

Posts: 40
Registered: 10/29/12
Re: Proof that mixed partials commute.
Posted: Nov 21, 2013 3:49 AM
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On 21/11/2013 00:27, Hetware wrote:

> The starting point for the proof, as stated in the OP:
> "Theorem. If the function w=f(x,y) together with the partial derivatives
> f_x, f_y, f_xy and f_yx are continuous, then f_xy = f_yx."

Mr Hetware, just in case you are interested in learning some
elementary mathematics and not just a tedious troll, let me
remind you, that these are NECESSARY hypotheses. The must be
used in any valid proof. Merely MENTIONING them is not enough.
They need to be USED.

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