Brilliant intuition to try to imagine what an Hilbert space is! Thank you
@JordanEdmundsEECS
5 жыл бұрын
I stole it from our good friends at MIT :)
@Katutowavicle
Ай бұрын
which MIT course ?@@JordanEdmundsEECS
@TeamNolex
3 ай бұрын
Thank you! I’ve always wondered where the integral comes from but thanks to your very simple, and honestly much better explanation, I‘m now slowly piecing the whole picture together. :)
@bhartitakshak3856
3 жыл бұрын
I was fed up with this topic for a week .......But only your one video made the topic crystal clear to me...Thank you so much, sir.....Respect from India
@JordanEdmundsEECS
3 жыл бұрын
Thanks from the US :)
@PixelContrast
2 жыл бұрын
Never heard of any of this before, but you made my digital communication system study work a lot easier with this.
@tiagoandradedeoliveira8703
2 күн бұрын
Excellent explanation, thank you! I was studying numerical methods when I tripped over this topic.
@0hstar
4 жыл бұрын
This is really good! To help understanding this subject even better, I highly recommend the last video of 3blue1brown Linear Algebra's series, it shows how fuctions are actually vectors, really nice! good studies everybody :)
@mohitpandey4655
2 жыл бұрын
Eigen value 👍
@ganeshveilu380
2 жыл бұрын
)llll*
@MrChaluliss
Жыл бұрын
I am taking linear algebra right now and had intutions about this but wasn't sure. This video was helpful in clearing things up for me and I appreciate the stepwise reasoning a lot towards the end of clarifying!
@sidimohamedbenelmalih7133
2 ай бұрын
Thanks, that explains the whole idea of orthogonality
@vector8310
4 жыл бұрын
If you only knew how utterly grateful I am for this video. You've performed a public service.
@adelali2541
Жыл бұрын
SOOOOO well explained!!! Thanks Jordan!
@ren7068
3 жыл бұрын
omg thank you so so much!! this makes so much more sense now!
@user-cl3bl3lw6x
4 жыл бұрын
really acurate explanation ! good job .. thank you , really helpfull video !
@delourhossainpranto5856
3 жыл бұрын
Thanks for also adding the applications.
@HarshitSharma-qo1ws
2 жыл бұрын
thank you so much man i was really confused in orthogonality of two signal like why we use integration there but now it is clear♥♥♥
@laurastenhouse5949
6 ай бұрын
Brilliantly explained, thank you so much!
@alewarten
3 жыл бұрын
The best explanation! Thank you! Do you have anything on Fourier transform?
@ahmetozbekler
2 жыл бұрын
Very clear and the best explanation. Thank you.
@aliabbas1572
3 жыл бұрын
Hi Jordan, Very nice explanation on the functional orthogonality. I am working on Zernike Polynomials for optical aberrations, do you have any suggestions to understand them in a much simpler way? or what the functional orthogonality on a unit circle means? Thank you in advance
@sergiolucas38
2 жыл бұрын
the worse thing about this video is that it ends :( great video :)
@ryanchow4814
2 жыл бұрын
This is GOD level information for my partial differential equation class
@gbolagadeolajide8595
Жыл бұрын
Excellent video!
@lukemateo9500
7 ай бұрын
This was exactly what I needed thank you
@_eagleofsuger_4631
2 жыл бұрын
sincere thanks for your time
@florentinosanchez3969
3 ай бұрын
Great video, thank you so for making it
@sau002
3 жыл бұрын
Good one. should have more upvotes.
@alijohnnaqvi6383
3 жыл бұрын
beautiful explanation. Really inspired. Thank you sir
@peterjuma34
3 жыл бұрын
you just made me understand orthgonaity
@noornazeer4878
6 ай бұрын
this is perfect, thank you!
@anuraggupta7969
Жыл бұрын
Great explanation. Loved the video !!!
@abbasbookwala
4 жыл бұрын
It would have been nice if it was elaborated on how dx comes into picture while multiplying two functions and full transition from Sigma to Integration
@lucam9668
3 жыл бұрын
he maybe mistakenly used x instead of π, but you get the idea
@xXDarQXx
3 жыл бұрын
yeah, I was wandering about that too, like do we just accept their function dot product is actually scaled by dx?
@NostraquedeoTX
2 жыл бұрын
Beautifully explained. TY.
@Milena-lg4dn
2 жыл бұрын
This was incredibly helpful. Thank you!
@wiggiesmallsaka9011
4 жыл бұрын
great video, my man!
@armpit1648
4 жыл бұрын
So do we pretend they are two basis vectors in an N-dimensional space? Then there can be N orthogonal functions aka N basis vectors in such a space?
@JordanEdmundsEECS
4 жыл бұрын
Yup, that's the (real) mathematical formalism behind this video. Such a space, when used for functions, is called a Hilbert Space.
@armpit1648
4 жыл бұрын
@@JordanEdmundsEECS Thank you. I've seen the term Hilbert Space before and probably even read about it but didn't make the connection
@marlonjareck7367
Жыл бұрын
this was great, thanks
@munabensaed2061
2 жыл бұрын
This is Definitely useful
@user-hv9rt7ye6h
3 жыл бұрын
Very good explanation, thank you a lot
@CHEESYhairyGASH
2 жыл бұрын
This really helped, thank you.
@hamedfarahani4281
Жыл бұрын
Amazing, thanks
@alntruisrtbredford
10 ай бұрын
I can't understand transition from sum to integral. Dot product for infinite vector is Σsin(x)*sin(2x) but not the Σsin(x)*sin(2x)*Δx How did you do this?
@ignatiusebo-quansah3996
3 жыл бұрын
well elaborated
@ninjaman7123
Жыл бұрын
Such a good video thank you so much!
@odedgilad9761
4 жыл бұрын
thank you very much !!!!
@alilelo2524
11 ай бұрын
thank you
@tomcat193
2 жыл бұрын
What a great explanation. Thanks
@user-rb2ss8vd9p
6 ай бұрын
Sir why orthogonality required
@alxomnm
Жыл бұрын
outstanding explanation! thank you:)
@user-gn8mf8on2v
2 жыл бұрын
really helped me thanks a lot
@JordanEdmundsEECS
2 жыл бұрын
Welcome!
@Agogogogogogkglgkfndjesk
4 жыл бұрын
Thank you very much.
@marilu0007
3 жыл бұрын
very nice, thank you!
@akanchhakumari5666
4 жыл бұрын
very beatiful video sir........
@mathmath3021
Жыл бұрын
There's a book about it?
@soumyadip112
3 жыл бұрын
Thank you❤
@ankursingh1912
4 жыл бұрын
THANKS SIR
@user-uj1vs8ng2r
4 ай бұрын
Great🔥
@aponapon2073
11 ай бұрын
Thank you so much sir , I am grateful to you 😊😊
@darinnozina2721
3 жыл бұрын
but all the values are positive?? 7:58
@mishazujev31415
3 жыл бұрын
negative values come between x=pi and x=2pi
@HuehuehueWolooo
3 жыл бұрын
Explained - but really.
@abdulhakimlukwago88
2 жыл бұрын
please talk louder
@chels_ktbffh92
Жыл бұрын
Beautifully explained! Thank you
@hastythegent4706
3 жыл бұрын
thank you so much, that was a very good explanation
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