This is a gem...like other people said this is the best content about Jacobian I found...Nice balance between intuition and formalism.Thank you very much Michael Penn
@azmath20594 жыл бұрын
Finally! A proper and concise explanation of the Jacobian! Thanks Michael.
@pendawarrior4 жыл бұрын
Best explanation of the jacobian I've seen, thank you so much
@thenateman274 жыл бұрын
Mistake at 14:46, it should be a positive 2w
@Hobbit1834 жыл бұрын
Really nice explanation, thanks
@guvencagil Жыл бұрын
Excellent. Thanks.
@Sidd-rb4ec4 жыл бұрын
At 3:44 i don't understand why did we take tangent vector for the approximation
@danv87183 жыл бұрын
Because the tangent line always gives you the best approximation to a curve at a given point, in fact, if you zoom close enough, both will be indistinguishable. Zooming close enough is exactly what we do when we take the limit as the variables tend to zero and therefore the area of the rectangle and the area of the curvilinear region will match. Bottom line is all curvilinear lines look like straight lines if you get close enough.
@programstix38373 жыл бұрын
thank you
@antoniocosta14473 жыл бұрын
The final result should be 2w × (u×exp(2v) - u×exp(v + w + vw) )
@ANTOINETTE-nk1tm4 ай бұрын
YOU DO SOME REALLY NICE VIDEOS. YOU DON'T GO THROUGH EACH AND EVERY STEP, AND IT'S HARD FOR ME TO KEEP UP WITH YOU SOMETIMES, BUT THAT'S MY PROBLEM BECAUSE I'M SLOW, ; AN OVERALL YOU DO A GOOD JOB A LOT BETTER THAN OTHERS I SEE ON THIS CHANNELS. ONE THING I LIKE ABOUT YOU YOUR DEFINITIONS ARE VERY PRECISE. YOU DON'T MAKE MISTAKES.
@РоманЛева-й9з3 жыл бұрын
Спасибо, хоть кто-то внятно проводит доказательства
@tsunningwah34719 ай бұрын
diu
@ANTOINETTE-nk1tm4 ай бұрын
WELL DOGGY. I'LL BE DANG JIGGIED. THIS WAS A VERY GOOD VIDEO. I'LL BE DANG- JIGGIED !!!