I'm confused by the fact that in order to see if a point is a minimum or a maximum you have to take into account the mixed partial second derivatives and at the same time the Laplacian only uses the "pure" partial second derivatives. Couldn't the Laplacian be affected by this "bias" to say it is a minimum/maximum when it is not or something similar? To put it in intuitive terms, why should be the case that the diagonal flow isn't taken into account to calculate the divergence?
You'd also missed the square on the partial x_N term. Otherwise, very straightforward explanation
Yes!
I'm confused by the fact that in order to see if a point is a minimum or a maximum you have to take into account the mixed partial second derivatives and at the same time the Laplacian only uses the "pure" partial second derivatives. Couldn't the Laplacian be affected by this "bias" to say it is a minimum/maximum when it is not or something similar? To put it in intuitive terms, why should be the case that the diagonal flow isn't taken into account to calculate the divergence?
Álvaro L. Martínez everything diagonal can be split into orthagonal stuff
thank u vry much
Hmm right, yes. Understood, oh right kappa.
i can hear the birds chirping in the background :D
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actually, you made a mistake. Its supposed to be 42 instead of the thing you wrote at 0:00 til 4:00