Level Sets

[@bhumikabaghel7997]

thank you for this content professor

[@mikethemathematician]

@bhumikabaghel7997 you are welcome!

[@Akira-tb1cj]

Thanks for the video!!!!

[@mikethemathematician]

@Akira-tb1cj Thanks for coming to the channel and watching!

[@ColemanDunham]

R u writing backwards?

[@yaredmekonnen3163]

So, are these level sets like the contour lines of the 3d output? Interesting.

[@mikethemathematician]

Absolutely. If you think of the level sets as regular curves, then the principal outward normal vector to these curves is proportional to the gradient. This is actually the geometrically invariant way of defining the gradient!

[@yaredmekonnen3163]

@@mikethemathematician Got it! thanks!

[@mikethemathematician]

Yared, I deleted and uploaded the videos which were truncated! Thanks for spotting the error in the videos!

[@yaredmekonnen3163]

@@mikethemathematician Thank you so much, Professor🙏

[@dalelinney8437]

Explaining level sets whilst writing backwards.

[@mikethemathematician]

@dalelinney8437 I know mad skills right? Thanks for watching!