What's wrong with the Fourier Transform is that everybody and her pet rabbit can give you a half-baked explanation of Nyquist, but nobody understands windowing at all.
Different people learn in different ways, and luckily Gilbert Strang recorded all his lectures on mit open courseware before he passed. So now he can be the best linear algebra teacher in perpetuity.
But that's not the same as different types of explanations or different illustrations/animations may finally unlock the key (that "aha" moment) for different people.
E.g. many of us can instantly see trends and correlations in a illustrated graph rather than staring at a long list of numbers for hours. The so-called debunking of Learning Styles doesn't change why different re-arrangements of the same information can work better for comprehension or teaching.
Learning styles in the formal sense yes. But if you have dyslexia, a video will be better. And if you have auditory processing disorders or deafness you'll want closed captions.
What annoys me is that nobody seems to explain the FFT well. I would love to understand that algorithm, bit so far I haven‘t found resources that made it click for me.
In summary, FFT is just a "dynamic programming" version of Fourier Transforms, in that it's the same idea, just with avoiding repeating a lot of duplicated calculations.
What's wrong with the Fourier Transform is that everybody and her pet rabbit can give you a half-baked explanation of Nyquist, but nobody understands windowing at all.
Wrongness is that nobody bothered to explain what it means. Only 60 years later watching Youtube-video I learned that is was that simple. Mind blown.
Could not find good video for EigenVectors and Nabla and all that shit. So incomprehension prevails.
I believe this is a fairly intuitive explanation for Eigenvectors: https://www.3blue1brown.com/lessons/eigenvalues
If you couldn't find any good video, you may want to try books.
There's more than enough texts on Linear Algebra that you should be able to find one that works for you, it is a very popular and widely taught topic.
Different people learn in different ways, and luckily Gilbert Strang recorded all his lectures on mit open courseware before he passed. So now he can be the best linear algebra teacher in perpetuity.
>Different people learn in different ways
Not so sure, the idea of "learning styles" (visual learners, etc) has widely been debunked.
The Learning Styles™ as in "visual vs auditory vs physical" is what the example articles from google searches have been about: https://www.google.com/search?q=learning+styles+debunked
But that's not the same as different types of explanations or different illustrations/animations may finally unlock the key (that "aha" moment) for different people.
E.g. many of us can instantly see trends and correlations in a illustrated graph rather than staring at a long list of numbers for hours. The so-called debunking of Learning Styles doesn't change why different re-arrangements of the same information can work better for comprehension or teaching.
>E.g. many of us can instantly see trends and correlations in a illustrated graph rather than staring at a long list of numbers for hours.
Some may even use this to suggest a correlation where there is none.
Learning styles in the formal sense yes. But if you have dyslexia, a video will be better. And if you have auditory processing disorders or deafness you'll want closed captions.
Dr.Strang is still alive, isn't he?
He is! Cue the mark twain quote. Someone at work told me he had passed. Good news.
What annoys me is that nobody seems to explain the FFT well. I would love to understand that algorithm, bit so far I haven‘t found resources that made it click for me.
I saw this one a while ago.
https://www.youtube.com/watch?v=nmgFG7PUHfo - The Remarkable Story Behind The Most Important Algorithm Of All Time
In summary, FFT is just a "dynamic programming" version of Fourier Transforms, in that it's the same idea, just with avoiding repeating a lot of duplicated calculations.