Nice derivation. I like when the result of a problem ends up much nicer than expected. Now I’m curious about convolutions and how they are used in different areas.
Convolutions are often used in control theory and various forms of signal processing. Convolutions (loosely speaking) describe how a signal changes when it gets through a system or a filter.
The integral from -infinity to infinity is called the bilateral Laplace transform. It has different properties than the standard (unilateral) Laplace transform, and it also converges less often. I have just been working with the unilateral transform!
I like even your whiteboard! Because it seems, your whiteboard is continuing to infinity! Just like Math. Therefore you have infinite space for infinite Math! ... I like that! .... Therefore ... Please be more active!
Man, you made it look so easy. It can not be explained any better and clearer than that. You the man!!!
Nice derivation. I like when the result of a problem ends up much nicer than expected. Now I’m curious about convolutions and how they are used in different areas.
Check this out: en.m.wikipedia.org/wiki/Convolutional_neural_network
Mu Prime Math Awesome! Thanks!
Convolutions are often used in control theory and various forms of signal processing. Convolutions (loosely speaking) describe how a signal changes when it gets through a system or a filter.
"The reason this is important is not because we do convolutions all the time"
> control engineering cries in corner
Great ... Your explanation is just awesome.
I wish you will be more active.
Thank you so much 💖
Thanks for the videos!
Why can the bounds of the integral sometimes be from [0, infinity] or [-infinity, infinity]?
The integral from -infinity to infinity is called the bilateral Laplace transform. It has different properties than the standard (unilateral) Laplace transform, and it also converges less often. I have just been working with the unilateral transform!
Hey, thank you for your videos, it helps me a lot with my exams! Also, greetings from Russia : )
OKEY that seems very useful
Bhai Ingaland se padhe ho ka
I live in America
I like even your whiteboard! Because it seems, your whiteboard is continuing to infinity! Just like Math. Therefore you have infinite space for infinite Math! ... I like that! .... Therefore ... Please be more active!