Normal Derivative

  Рет қаралды 8,781

Dr Peyam

Dr Peyam

Күн бұрын

Пікірлер: 38
@aliyarc.a150
@aliyarc.a150 4 жыл бұрын
Love from an Indian Math enthusiast.♥️
@blackpenredpen
@blackpenredpen 4 жыл бұрын
No “thanks for watching”?
@Visputescooking
@Visputescooking 4 жыл бұрын
True feelings are indescribable!💖 Actually I love your videos!
@drpeyam
@drpeyam 4 жыл бұрын
Hahaha
@lakshya3199
@lakshya3199 4 жыл бұрын
@@drpeyam Keep uploading such videos for someone who wants to explore the depth of mathematics. Thanks, Dr.Peyam ☺️
@EPICBALLADmaster
@EPICBALLADmaster 15 күн бұрын
Brazil with you, super great class, full of knowledge but still easy to understand, tkx
@drpeyam
@drpeyam 13 күн бұрын
You are welcome!
@gareebmanus2387
@gareebmanus2387 3 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
@sophiasabelja8241 Жыл бұрын
Thank you so much! This video was really helpful!
@matrixstuff3512
@matrixstuff3512 4 жыл бұрын
I really appreciate the notation using nu for the normal
@yinvara9876
@yinvara9876 4 жыл бұрын
I like your enthusiasm, I also like the math
@iabervon
@iabervon 4 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.
@drpeyam
@drpeyam 4 жыл бұрын
That’s interesting and makes total sense, thank you!
@EmissaryOfSmeagol
@EmissaryOfSmeagol 4 жыл бұрын
Does the good Doc. have a video on multi-dim. IBP yet? If not I await in earnest!
@HDQuote
@HDQuote 4 жыл бұрын
Thank you a lot. I follow your channel for a long time. What software & hardware did you use for this video?
@drpeyam
@drpeyam 4 жыл бұрын
Microsoft Whiteboard
@HDQuote
@HDQuote 4 жыл бұрын
Thanks a lot! And what hardware if I may ask?
@TheMauror22
@TheMauror22 4 жыл бұрын
What a cliffhanger :( I'm really looking forward to see that video.
@Czeckie
@Czeckie 2 жыл бұрын
what does W has to satisfy to have the normal defined at least almost everywhere?
@drpeyam
@drpeyam 2 жыл бұрын
Smooth boundary
@dominicellis1867
@dominicellis1867 4 жыл бұрын
Is their any difference between the divergence and the normal derivative they seem to measure the same thing
@drpeyam
@drpeyam 4 жыл бұрын
Two different things, the divergence measures how something expands and the normal derivative measures how much something flows out of a surface.
@dominicellis1867
@dominicellis1867 4 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?
@drpeyam
@drpeyam 4 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
@dominicellis1867
@dominicellis1867 4 жыл бұрын
@@drpeyam so the derivative of the normal derivative is the divergence of the gradient or the laplacian
@toaj868
@toaj868 4 жыл бұрын
What kind of function is v in the integral you showed at the end?
@drpeyam
@drpeyam 4 жыл бұрын
Any function
@InderjitSingh-ee8bs
@InderjitSingh-ee8bs Ай бұрын
❤❤❤❤
@محمدالشهري-ظ2ك
@محمدالشهري-ظ2ك 3 жыл бұрын
Why you take (1,f') as a tangent vector? shouldn't be (x,f'(x))?
@drpeyam
@drpeyam 3 жыл бұрын
No, (1,f’) is correct. If you go 1 unit to the right, you go up f’(x) units
@محمدالشهري-ظ2ك
@محمدالشهري-ظ2ك 3 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))?
@toaj868
@toaj868 4 жыл бұрын
Is the normal derivative tied to flux? If so, how exactly are they related?
@drpeyam
@drpeyam 4 жыл бұрын
By the divergence theorem
@toaj868
@toaj868 4 жыл бұрын
@@drpeyam Thank you :)
@StreuB1
@StreuB1 4 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.
@knivesoutcatchdamouse2137
@knivesoutcatchdamouse2137 4 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!
@hugohugo37
@hugohugo37 4 жыл бұрын
Hi Blackpenredpen!
@uwiennr4686
@uwiennr4686 4 жыл бұрын
thnks for watching, hey i just watch ur video until 10 second 🤣🤣
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