True feelings are indescribable!💖 Actually I love your videos!
@drpeyam4 жыл бұрын
Hahaha
@lakshya31994 жыл бұрын
@@drpeyam Keep uploading such videos for someone who wants to explore the depth of mathematics. Thanks, Dr.Peyam ☺️
@EPICBALLADmaster15 күн бұрын
Brazil with you, super great class, full of knowledge but still easy to understand, tkx
@drpeyam13 күн бұрын
You are welcome!
@gareebmanus23873 жыл бұрын
Dr Peyam, Thank you for explaining very clearly (and enthusiastically as always) the normal derivative. Ideas like this one are often either assumed to be too easy to be discussed in detail or just mentioned during some elaborate calculation. I do not know if you have a video on Lipschitz domain which is also about the boundary of a domain.
@sophiasabelja8241 Жыл бұрын
Thank you so much! This video was really helpful!
@matrixstuff35124 жыл бұрын
I really appreciate the notation using nu for the normal
@yinvara98764 жыл бұрын
I like your enthusiasm, I also like the math
@iabervon4 жыл бұрын
If u is a function of |x|, the normal derivative of u on a surface of constant |x| is obviously going to be u' of |x|, according to the explanation of the normal derivative. The example is really checking that the definition gives the right result for a case where we know what the answer should be, so it's good that we aren't surprised.
@drpeyam4 жыл бұрын
That’s interesting and makes total sense, thank you!
@EmissaryOfSmeagol4 жыл бұрын
Does the good Doc. have a video on multi-dim. IBP yet? If not I await in earnest!
@HDQuote4 жыл бұрын
Thank you a lot. I follow your channel for a long time. What software & hardware did you use for this video?
@drpeyam4 жыл бұрын
Microsoft Whiteboard
@HDQuote4 жыл бұрын
Thanks a lot! And what hardware if I may ask?
@TheMauror224 жыл бұрын
What a cliffhanger :( I'm really looking forward to see that video.
@Czeckie2 жыл бұрын
what does W has to satisfy to have the normal defined at least almost everywhere?
@drpeyam2 жыл бұрын
Smooth boundary
@dominicellis18674 жыл бұрын
Is their any difference between the divergence and the normal derivative they seem to measure the same thing
@drpeyam4 жыл бұрын
Two different things, the divergence measures how something expands and the normal derivative measures how much something flows out of a surface.
@dominicellis18674 жыл бұрын
Dr Peyam I don’t really understand the difference is there an equation that relates the two functions using the gradient or does curl have anything to do with it?
@drpeyam4 жыл бұрын
There’s no equation relating them since they’re two different things. The only relationship maybe is that if you integrate the divergence of the gradient, by the divergence theorem you get the gradient dotted with the normal vector which is the normal derivative
@dominicellis18674 жыл бұрын
@@drpeyam so the derivative of the normal derivative is the divergence of the gradient or the laplacian
@toaj8684 жыл бұрын
What kind of function is v in the integral you showed at the end?
@drpeyam4 жыл бұрын
Any function
@InderjitSingh-ee8bsАй бұрын
❤❤❤❤
@محمدالشهري-ظ2ك3 жыл бұрын
Why you take (1,f') as a tangent vector? shouldn't be (x,f'(x))?
@drpeyam3 жыл бұрын
No, (1,f’) is correct. If you go 1 unit to the right, you go up f’(x) units
@محمدالشهري-ظ2ك3 жыл бұрын
@@drpeyam The curve have the representation (x,f(x)) at each points in it, so can we think about (1,f'(x)) as the gradient w.r.t x of the u where u= (x,f(x))?
@toaj8684 жыл бұрын
Is the normal derivative tied to flux? If so, how exactly are they related?
@drpeyam4 жыл бұрын
By the divergence theorem
@toaj8684 жыл бұрын
@@drpeyam Thank you :)
@StreuB14 жыл бұрын
Hi Dr. Peyam!!! I haven't stopped in for quite some time but wanted to for this video. In Calc3; partials, gradient, and the TNB space was one of the biggest "Ah HA!!!!" moments in my maths career. It was also one of the most exciting because of all the immense power you now wielded. TNB was very hard for me to understand initially but once I realized it was another Cartesian coordinate plane "flying" around in the primary coordinate plane, anchored to the curve in question. I envisioned it as a roller coaster track and I am in the coaster car riding along, and me sitting in the car is one frame of reference, the TNB frame. Riding through the primary space of x,y,z. Once I realized that, it was like an avalanche of realizations all happening in short order. It was amazing TBH. So yeah, these topics are really awesome. I am in diffeq now and due to being "taught" remotely, I am failing horribly. Its not even failing, its like I understand absolutely zero. I will be retaking it in the spring, assuming we are back to REAL school and not this remote learning "socio-political experiment" or whatever you want to call it.
@knivesoutcatchdamouse21374 жыл бұрын
What is TNB? Tangent, Normal, and Binormal vectors, I am guessing? Just never heard it referred to like that before. Makes sense though, their being orthogonal and all!
@hugohugo374 жыл бұрын
Hi Blackpenredpen!
@uwiennr46864 жыл бұрын
thnks for watching, hey i just watch ur video until 10 second 🤣🤣