Dirac's Delta Function

00:00 What is the delta function good for?
02:09 Delta function graphically
02:21 Integral of the delta function at the origin
03:08 Shifted delta function
03:41 Integral of the shifted delta function
04:33 Delta function is symmetric (even)
05:44 Delta function with a factor
06:38 Examples
07:52 Three-dimensional delta function

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[blackhole]

I'm extremely grateful I came across this video. The level of clarity in this video is insane! Thanks man, you're amazing.

[govt.graduatecollegetobate]

The best demonstration of Dirac Delta Function on the net. Very Nice.

[arpg]

This was one of the best and most succinct explanations I saw on yt. Congrats and please do a video on green's functions!

[aishmurali]

Possibly the best explanation for the Dirac delta function that you can find. Thank you for your hard work.

[douglasstrother]

I like your definition of δ(0) = 1, as it highlights the δ-function's role as a filter.

[adhele]

You make 14 yo understand this, Thank you so much ❤

[Helkrug]

i never comment but this video is amazing universaldenker. thank you so much.

[MadhumantyMistry]

So beautifully explained and visualized❤️

[andresquesnel]

What an amazing explanation! Thank you!

[muhammadijasm]

Quality animation with superb explanation!

[tayebtchikou]

Thank you very much for the most obvious explanation, but what is the intuition of the integral of the product of a function and Dirac distribution? I mean what does such integral express, mathematically and physically?

[franciscopereira]

Since i wacthed ur video on eletromagnetism i knew i found a gold mine. Have been binging since.

[connorlake]

Exactly the video I needed to see right now. Beautifully done!!!

[RadoslavFicko]

The Dirac distribution is the Fourier transform of unity and a special case of convolution, where A*f=g, g(x)=d(x-y). f(y)dy, if we imagine the gravitational interaction as a function of g(x) and the electromagnetic interaction as a function of f(y), then these forces (i.e. the lines of force) only interact when x is equal to y ( the Dirac impulse).

[SelfProclaimedHuman]

Great video. Clearly explained. Thanks.

[ailebao]

Such an awesome explaination! Thank you very much, Sir.

[douglasstrother]

There's a detailed discussion on the Delta Function in Ch. 2 of "Green's Functions with Applications" by Dean G. Duffy.

[ketisikharulidze]

These videos are gold, I have no idea why they don't get more attention

[davidphy]

Videos excelentes, muy didáctica sus explicaciones.