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I entered the weeds when the green pen came out.

Excelent explainatio! Thanks

(10/2)! ???

please keep colors in white. Thanks for clear lectures, otherwise.

Great! You can take the two integrals together, but not just because they’re independent. I believe the functions must be “good” (according to Fubini). And they are good (the abs value is integrable).

what program are you using to write

You did not cook with this one

❤🎉🎉🎉

Wow, this was incredibly helpful, thanks! Could you explain for a boundary of (-L,L), why we use (npix/L) for the value of theta in costheta and sintheta for the fourier coefficients?

, yeah.. delta function does wonders

So excited to have stumbled upon your videos, they are awesome! In this video promised another to come , and it's not yet uploaded :( Thank you so much for what you've done! Excellent!

I figured out how to do this with linear algebra. Starting with series you want to invert, make a lower triangular Toeplitz matrix T from the series, constant term first. So the matrix for the series of the identity function f(x) = x would be an identify matrix. Then find the Krylov subspace initializing with a vector <1,0,0,0...> like the column of an identity matrix, and the column the series. Each subsequent column of the Krylov matrix will be T^n v, which will be the series raised to the nth power. Now invert the matrix. Your second column is your Lagrange inverted series. There's also other interesting stuff, like if find the matrix square root, the resulting series is the functional square root such that g(g(x)) = f(x) It's also good for finding the series resulting from composing multiple functions like h(g(f(x)) without ever calculating a single derivative

I barely understood anything at all in my lecture about the delta distribution but now it’s all clear. Thank you!!

Cool!😊

Interesting! 😊

Simple and clear! Thank you very much!

On thiss🗣️🎶 minuss🗣️🎶 x's🗣️🎶

Thank you so much. I hope I watch it earlier. Both the Fourier transform and the Dirac delta are so important. This example can at least convince one to think of the Dirac delta as being a distribution instead of a function.

czcams.com/video/JPGsbYfJNyw/video.htmlsi=L_ABlu115G4w8T6y

the second differential equation in the thumbnail is incorrect.

YOURE A HERO. THANK YOU

So basically a convolution of e^ax + x*e^bx with a cubic function seems to be an elliptic function? Is there a more general way to construct elliptical functions this way then?

What about z!,

10:20

0:10

very good

I landed here because I want to calculate the perihelion precession.

Difficult to see when you use red

Just needed the Gama(n+1)=n! Thx

hello sir ! can you please make videos on finite fourier transform ? I find your videos very helpful.

Where do rainbows come from, how does the positraction on a Plymouth work, how does a Lambert W function work? It just does.

Thank you for your precious time.

Thank you for your precious time.

A quick question: why do we shift by 1 in the definition of the Gamma function?

Absolutely incredible video!!!!!!

The alternating even and odd polynomials remind me of Hermite Polynomials.

Really excellent video!

Dude did you run a marathon or something

This looks DEQ stuff a little

How amazing

This video WAS AWESOME!!!!

hi! i have this function 2cos(x)-B*(sin(x)-sin(A*x))=0 and i want to use this theorem can you help me

The way how is presented with assuming no previous knowledge of the subject is great. In this brief description of the basic idea of The Dirac "delta - function" with following properties which disobeys Dirichlet's conditions (one of contiditions) we can illustrate and draw multidimensional Fourier form implying Cartesian coordinates for i. e. The Dirac wall (drawing 2 graphs with superimpose, let's say, "plane on the plane") 👍

Which software you use for this?

You've put the wrong differential equation for the second, in the thumbnail Instead of -3, you've written -2 Btw, love from India

Thank you so much

log_e(x) is the inverse of e^x, not log(x), because log(x) is the same as log_10(x)

I literally learny this 4 months ago and now i get almost every time get a's i guess i missed on beta fuction

Excuse me, sir. What if integral of δ(g(x,y,z)) dxdydz? Can you explain to me the general form?

I didn't understand part of your explanation where you explained gamma(n+1) on the second line of integration 6:51 someone please help me as soon as possible