This is incredible. I am just stunned by the clarity and simplicity. Finally, I understand one of the most sophisticated things that I have ever learned about.
1:54 should say "temporal frequency", not spatial frequency. 2:07 should say "space [or distance] variable", not "time variable". It's funny that this was messed up even though it was overdubbed afterwards.
Give em a break. Its cal tech. Not MIT. Plus his voice was crafted by the gods for radio. So all is well, in the end. WELL, I guess, possibly... after you're edits lxlxl P.E.A.C.E Jah Blessed. ONE 1ove
At 23:09 he shows the mathematical expressions for the continuous Fourier transform of the periodic function $f(x)$, but he does not explain how they are derived. Specifically, how the amplitudes and phases of the individual sin and cos waves are chosen. At 28:45 he explains the amplitudes $A_m$ and $B_m$, but this explanation does not tell us why those particular amplitudes are the right ones. There is a complex discussion in the video Advanced Engineering Mathematics, Lecture 3.1: Fourier series and orthogonality that shows how the amplitudes and phases are derived, but this requires mathematical maturity. You can also search UT under "Fourier series and orthogonality"
The clarity one gets after watching this video is like an epiphany.....pure gold stuff....great work, sir. Thank you very much.
The most lucid introductory lecture on understanding Sinusoidal waves and Fourier Transforms .Kudos Prof!
This is incredible. I am just stunned by the clarity and simplicity. Finally, I understand one of the most sophisticated things that I have ever learned about.
THANK YOU SO MUCH MR. JENSEN AND CALTECH! TYSM!!!!!
15:05 It's actually the higher-pitched notes that resonate at the entrance of the cochlea because that's where the basilar membrane is the stiffest
Great explanation! Than k you so much. Note, at 30:55 it is mentioned that 90 degrees is pi/4. It is pi/2
Nice and illustrative explanation. 30:52 - 90 degrees is pi/2, not pi/4.
So easy explained! Great job!
Is this part of a course I (anyone) can take somewhere online?
EDIT: I found you at coursera, the course is "Getting started in cryo-EM"
and then i said nice find
+and then i said It's in coursera
1:54 should say "temporal frequency", not spatial frequency. 2:07 should say "space [or distance] variable", not "time variable". It's funny that this was messed up even though it was overdubbed afterwards.
Give em a break. Its cal tech. Not MIT. Plus his voice was crafted by the gods for radio. So all is well, in the end. WELL, I guess, possibly... after you're edits lxlxl P.E.A.C.E Jah Blessed. ONE 1ove
around 26:10, why did you draw minus cosine wave for 1 oscillation?
superb!
At 23:09 he shows the mathematical expressions for the continuous Fourier transform of the periodic function $f(x)$, but he does not explain how they are derived. Specifically, how the amplitudes and phases of the individual sin and cos waves are chosen. At 28:45 he explains the amplitudes $A_m$ and $B_m$, but this explanation does not tell us why those particular amplitudes are the right ones. There is a complex discussion in the video
Advanced Engineering Mathematics, Lecture 3.1: Fourier series and orthogonality
that shows how the amplitudes and phases are derived, but this requires mathematical maturity. You can also search UT under "Fourier series and orthogonality"
Very good explanation Sir!