I'm the Faculty of Khan. The name comes from my last name (Khan) and the university-level focus of my channel (since universities are often divided into separate 'Faculties' e.g. Faculty of Science).
My post-secondary training has included a broad array of subjects, including Mathematics, Physics, Physiology, Medicine, and Chemical Engineering, which reflects the broad focus of my channel!
If you think this is all worth your while, then go ahead and subscribe!
As a follow-up to my previous question (with no reply so far) epsilon has been defined as a constant, variable, and a variable constant, and a function. What is t?
When do you define covariant component (at 6:30) you already use the fact that b_1 and b_2 are orthogonal projections. To be right that definition the basis vectors must be unit length, otherwise it is needed to divide with the magnitude of each basis vector. It is necessary to do if you later double the length of e_2. This aspect should be reviewed.
The one point that I don’t understand (which is critcal to the whole thing) is “what does the product of epsilon and eta mean”? It seems as though epsilon could have been expressed as a function of x with out the inclusion of eta.
I define poles here (I'd suggest watching the videos before this one on the playlist so you have a stronger idea of what's happening): ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-0ZOMkmy-aTo.html
Thank you Dr. Khan. My proffessor finished up complex analysis within 1.5 month and we tought it was impressive. But with you I understood the course within a night. Please continue teaching us because you are better than any proffessor I know.
After 5 years in mechanical engineering it finally fully clicked! I had "kind of" the intuition but it was not 100%. It is so straight-forward now, thank you good sir.
I curse my luck for only finding your channel now, I was fr going crazy pulling my hair getting none of Quantum Physics You are the messiah, the lisan al-gaib 🙏🙏
So PDEs use undetermined coefficients to solve for non-homogeneous boundary conditions. What if x depends on t, then how would you solve this equation?
fabulous! you just explained Power Series solution in 11 minutes ...something that took my professors a whole month to do and they finally failed! Thank you ,teacher
This field model may be related to the your topic. ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-wrBsqiE0vG4.htmlsi=waT8lY2iX-wJdjO3 Thanks for your informative and well produced video. The buckling of the field via Euler’s contain column effect is the answer to your question. You and your viewers might find the quantum-like analog interesting and useful. I have been trying to describe the “U” shape wave that is produced in my amateur science mechanical model in the video link. I hear if you over-lap all the waves together using Fournier Transforms, it may make a “U” shape or square wave. Can this be correct representation Feynman Path Integrals? In the model, “U” shape waves are produced as the loading increases and just before the wave-like function shifts to the next higher energy level. Your viewers might be interested in seeing the load verse deflection graph in white paper found elsewhere on my RU-vid channel. Actually replicating it with a sheet of clear folder plastic and tape. Seeing it first hand is worth the effort.
for question2 please explain the expansion step for f(z+🔺z) the simplification is not making sense to me..... like why is 🔺x now associated with the complex i and why is there a coefficient of 2 for 🔺y ??
This video I ended up watching twice actually, just now. The second part of the video (trial-and-error to find threshold, and then find stimulus needed at B) made a lot of sense on the first watch-through! During the second rewatch i noticed that the equation for "you can find the resting potential as the weighted average of something something something" (at 1:48) didn't yet make intuitive sense to me; but now after pausing and thinking about a bit, I think it's starting to make sense (still doesn't feel like my understanding there is solidified at all yet, though). Also, I think the "fold-increase" way of thinking about about changes in conductance was confusing to me (also confused me a little bit in the previous video), but that part is starting to make sense too, now! (But I think i would have a hard time explaining it in way that is actually accurate etc. if I had to do that right now) And, I wanted to note that the equation for finding the length constant (at 10:55) wasn't intuitive to me, either. I actually was thinking about that kind of relationship during the part that where we were reading through the question/problem for the second part (around 3:28); i.e. I ended up thinking about membrane resistance and the thickness of the dendrites, and was like "huh, am I meant to think about this like an electrical wire, maybe? Probably, I guess". But I totally am not yet familiar with the derivation of those relationships/equations (the square root confused me very much at first, until i was like "oh that's probably because we need to think about cross-sectional areas and stuff"). But it was helpful seeing it just get applied, yepyep! Anyway, great series of videos!
I just rewatched the video after having seen this series a long time ago; most of the things made a lot of sense (relearning it all definitely is solidifying my understanding of it all a lot, though). The one thing for which I noticed that I wasn't familiar with is the "using the time constant to determine the shape of function of how the potential changes as current gets injected"; i.e. the "delta_V = I * R" part of the equation i was already familiar with, but the "exponential term with time constant" correction i had not seen before, actually! maybe I'll go search/find some introductory stuff on that now (or maybe after rewatching the rest of the series) anyway thanks for making these videos! take care
Thank you for all these videos. 20 years after I take these lessons I use your videos to refresh my memory and every time I wish that you were my professor back in the day 😁
I just wanted to ask what do you mean by saying that C has to have a finite number of corners because in the case of a circle, which is similar to a polygon with infinite corners, doesn't that say you can't have smooth curves; any help would be much appreciated.
