Lecture 6 | The Fourier Transforms and its Applications

[devnullnor]

"This is so good. It's better than sex! Not that I'd know, I was a math major." LOL!

[grunder20]

Osgood is worth the wait. Great man.

[cartmansuperstar]

in the formula he writes down at 24:11: shouldn´t the integrand just be g(s) so that the "cursive F" should be omitted here ?

[PeaceAndGloryMB]

@cartmansuperstar I think so too - just Integral g(s) ds.

[laserbruce]

He assumes that the series tends to a continues function as T go’s to infinity. Since this is not a proof, I can live with that.

The problem that I have is that as T go’s to infinity the distance between the points at each end of the period tends to 0. As this happens the values between the points (Including the ends of the period) tend to a single point on the x axes. This means that it will tend to a non-Integrable function.

Someone show me the light.

[ibreakkidslegs]

@laserbruce more dire a problem in my opinion is that the cardinality of the real line is greater than that of the set of all points spaced 1/T apart, so there will always be a huge gap when trying to cover up the real line with these points

[alquiora]

What is the proof that a non-periodic function can be expressed in terms of the sum of periodic functions?

[smitty121981]

can someone please tell me what that crazy looking symbol is that he is using to represent the Fourier transform?

[sammysoil77]

@smitty121981 Looks like a cursive F

[eluilu]

"The kinda signal society needs" :)

[DOS32]

I have no doubt why blackboard still a favourite media used in the top ten university..

[Mattprole]

18:28 He knows we are watching O_O

[luzzie9]

The sync function is the frequency distribution of the square wave?

[Naam19]

Prof Osgood is very good.

[123xxrobertx]

it is usable for some functions ..

[sikory]

"Do you like integration by parts? I do." lol, i laughed really hard at 44:05