I just started watching and I can already see what a fantastic job you have done! I covered a similar topic a while back, and it's very refreshing to see how others approach it. Keep up the good work.
Nicely done, the animations you created really do make the video accessible and comprehendible all throughout it. And it's actually kinda cool that you gave an actual live example of analyzing a function for minima and maxima points and explained it well. My applause, hope to see your channel growing. Shared it with the only friend I could lol Upd: idk if it was him, but the sub count has just actually increased by 1 lol
wow thank you! comments like this are the fuel to create more content. Stay tooned for the next video (that will probably be about Constrained Optimization and Line Integrals)
@@ClearMath1 Kinda sounds like calculus of variations. Is the video gonna be about it? Oh and btw my friend later texted me and said that he liked your video I sent him, so yeah, keep do what you are doing, people are gonna like it But be sure not to burn out at some point
So, the "Null Hessian" method is just checking whether the given point satisfies the definition of a minimum (the value of the function in a neighborhood of this point is greater than the value AT this point) or a maximum (the function in the neighborhood is less than the function AT this point), right?
yes, exactly! For a multivariable function, is difficult to understand if a given extreme point is a max, min or a saddle by just using the definition, i.e. by verifing that EVERY point in their neighborhood give greater or lower values (because is just impossible to check for every direction we come across the extreme), but we can use the "f bar method" to study the sign of the new function, and in practice it's much simpler.
![Noob To Max With DRAGON REWORK In Blox Fruits [FULL MOVIE]](http://i.ytimg.com/vi/LnBMOinoOvA/mqdefault.jpg)
seeing the functions in 3D graph was very helpful in visualizing them.
Wonderful teaching
Glad it was helpful! Thanks!
I just started watching and I can already see what a fantastic job you have done! I covered a similar topic a while back, and it's very refreshing to see how others approach it. Keep up the good work.
thank you! I watched your videos a month ago and i found your works brilliant, so this comment to me is really, really valuable.
If only you uploaded this before my exam yesterday lol
Really appreciate your efforts in making such fantastic and cool animations to deliver these fundamental concepts of mathematics ! Keep going 🥰
Nicely done, the animations you created really do make the video accessible and comprehendible all throughout it. And it's actually kinda cool that you gave an actual live example of analyzing a function for minima and maxima points and explained it well. My applause, hope to see your channel growing.
Shared it with the only friend I could lol
Upd: idk if it was him, but the sub count has just actually increased by 1 lol
wow thank you! comments like this are the fuel to create more content. Stay tooned for the next video (that will probably be about Constrained Optimization and Line Integrals)
@@ClearMath1 Kinda sounds like calculus of variations. Is the video gonna be about it?
Oh and btw my friend later texted me and said that he liked your video I sent him, so yeah, keep do what you are doing, people are gonna like it
But be sure not to burn out at some point
One of the best video I see thank so much
glad you liked it!
So, the "Null Hessian" method is just checking whether the given point satisfies the definition of a minimum (the value of the function in a neighborhood of this point is greater than the value AT this point) or a maximum (the function in the neighborhood is less than the function AT this point), right?
yes, exactly! For a multivariable function, is difficult to understand if a given extreme point is a max, min or a saddle by just using the definition, i.e. by verifing that EVERY point in their neighborhood give greater or lower values (because is just impossible to check for every direction we come across the extreme), but we can use the "f bar method" to study the sign of the new function, and in practice it's much simpler.
Amazing job! Keep going like that!
thanks!
very good video keep it up!
Thanks!
Thats great! My only advice is to use a better microphone.
Veri kool