Saw it the first time in stat mech and thought yeah I guess it makes sense that the delta distribution should be the derivative of the heavyside but this is of course much more lucid
@@brightsideofmaths Okay, cool. I really like your teaching/video style. I was introduced to distribution theory during my undergraduate and found it really interesting. Now I’m taking it as part of my masters degree and unfortunately it is taught in a completely different way than how I was introduced to it and it doesn’t feel even remotely as engaging. But your videos are in line with how I was introduced to the subject so I’m super happy that I found them. I’ll just hope that as many more videos as possible get released before my exam in August 😅
@@brightsideofmaths actually sir their is a book of distribution theory(written by Gerrit van Dijk) that will be studying me in my M. Phil program and for that purpose I can take help from your lectures
Hello ! First the serie is insane thank you a lot ! I have a question : during the serie and in this episode also you define property of distribution with nice function with good property then you apply this properties to all function. Exemple: To define the derivative of a function in this video you use f a C1 function but then you use the derivative define previously for all the function If you can do that, why can you ? Thank you for reading and for the videos :))
Hello and thank you very much for your support! I don't get your question, maybe. We have the space of test functions which consists of C-infinity functions.All this functions are very nice and that's the reason the definitions work.
@@brightsideofmaths Excuse me that was not very clear ^^ In this video you show that , but you show that for a regular distribution, so why you can use this definition on the dirac distribution who is not a regular distribution ? I miss something ?
Hello, thanks for this series. They really accelerated my understanding of distributions. I have a question regarding the definition of Distributional derivatives. @5.04 you say about the motivation for the definition of Distributional derivatives. But I am not able to find the relation of the definition with the previous discussion . What is bothering me is, since T is a functional, it's derivative should also be taken like any functional ( en.wikipedia.org/wiki/Functional_derivative#Functional_derivative ), but instead what is done here is the distribution of derivative of it's function. To conclude I don't know how T'f = Tf'
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Yayyy, good to see a new upload in the more advanced math series :))
More to come in the future :)
Saw it the first time in stat mech and thought yeah I guess it makes sense that the delta distribution should be the derivative of the heavyside but this is of course much more lucid
Thanks :)
Please continue this playlist and also cover Sobolev Space.
Thank you sir for access the lectures of distribution theory
You are very welcome!
Hi, honestly thank you so much for the videos, learned alot from your channel!
Glad you like them!
How many more videos are you planning to make for distributions!? Thank you for this video, very helpful again:)
I planned around 20 videos.
@@brightsideofmaths Are there more videos available on Steady (or elsewhere) or do you upload them everywhere at once?
@@nicolassoderberg9477 They will be published first on Steady. However, at the moment, there is no new video there. It will come soon :)
@@brightsideofmaths Okay, cool. I really like your teaching/video style. I was introduced to distribution theory during my undergraduate and found it really interesting. Now I’m taking it as part of my masters degree and unfortunately it is taught in a completely different way than how I was introduced to it and it doesn’t feel even remotely as engaging. But your videos are in line with how I was introduced to the subject so I’m super happy that I found them. I’ll just hope that as many more videos as possible get released before my exam in August 😅
Sir if you don't mind these lectures are from Gerrit van Dijk book
Sorry, I don't know this book. Can you be more concrete what you mean?
@@brightsideofmaths actually sir their is a book of distribution theory(written by Gerrit van Dijk) that will be studying me in my M. Phil program and for that purpose I can take help from your lectures
That sounds very good :) Thanks!
Hello !
First the serie is insane thank you a lot !
I have a question : during the serie and in this episode also you define property of distribution with nice function with good property then you apply this properties to all function.
Exemple: To define the derivative of a function in this video you use f a C1 function but then you use the derivative define previously for all the function
If you can do that, why can you ?
Thank you for reading and for the videos :))
Hello and thank you very much for your support! I don't get your question, maybe. We have the space of test functions which consists of C-infinity functions.All this functions are very nice and that's the reason the definitions work.
@@brightsideofmaths Excuse me that was not very clear ^^
In this video you show that , but you show that for a regular distribution, so why you can use this definition on the dirac distribution who is not a regular distribution ? I miss something ?
It's simply the definition :)
@@brightsideofmaths Okaaaaay the motivation help to define the general definition :)
Ty a lot and have a good day !!
🔥🔥🔥
Please sir upload more videos
Deal!
Sir why you can hidden the eight video lecture of distribution theory.
@@mudassirmudassir2944 They will come.
@@brightsideofmaths please sir
Hello, thanks for this series. They really accelerated my understanding of distributions. I have a question regarding the definition of Distributional derivatives. @5.04 you say about the motivation for the definition of Distributional derivatives. But I am not able to find the relation of the definition with the previous discussion . What is bothering me is, since T is a functional, it's derivative should also be taken like any functional ( en.wikipedia.org/wiki/Functional_derivative#Functional_derivative ), but instead what is done here is the distribution of derivative of it's function. To conclude I don't know how T'f = Tf'
Simply speaking: we define the distributional derivative and not the functional derivative.
@@brightsideofmaths oh ok, this is something else. Thanks