MM41: Complex Fourier series

[@philcooper279]

Yes, extremely well explained. Well done.

[@حنينبيبي-ث8ط]

Thank you from the bottom of my heart. You are really a great teacher. Thank you

[@DR_VIV]

Thank you for your kind words!

[@shidzboutogodown323]

Thank you so much. I was confused as to how the constant came to be singular and one only 😅(I was comparing it to the standard condition)

[@hongheng4801]

Sir, for e^-i*n*theta= cos(n*theta)+isin(n*theta), It should be e^-i*n*theta = cos(n*theta) - i sin(n*theta) right?

[@clarencetkachikira284]

you've led me astray here😂😂😂

[@pro_coder]

alot of mistakes man e^-inpi = cos(-npi) + isin(-npi) = cos(npi) + 0 = (-1)^n

[@joseEspinarPartal]

Thank you!!

[@dimas5187]

Am struggling to understand this 😢

[@packrat3213]

good stuff.

[@ritesha8050]

hello sir thanks for the explanation. i am doing a question where p=4 and therefore r=2. is e^(-n pi i/2)=(i)^n?

[@DR_VIV]

It will be (-i)^n

[@ritesha8050]

@@DR_VIV ok thank you sir, I will try again

[@ritesha8050]

@@DR_VIV sir, i tried again but i didnt get the ans. e^(-n pi i/2) = cos(n pi/2) + i sin(n pi/2) when i wrote the terms from n=1 to 6, i got i,-1,-i,1,i,-1 isnt that i^n?

[@DR_VIV]

@@ritesha8050 you should have a minus sign because exp(-i x) = cos x - i sin x

[@ritesha8050]

@@DR_VIV aah ok thanks sir

[@tron6822]

Can you please explain me how you got the negative sign in e^(-i*n*pi*x)/l?

[@DR_VIV]

The negative sign comes when you isolate the coefficient c_n using orthogonal properties of the complex exponential

[@the_boi_man6860]

Boss the limits of the integral have to be 0 and 2 right; you've written 0,1. Otherwise great video!😄Thank you

[@DR_VIV]

Yea, but the function is zero from 1 to 2, so the only nonzero contribution is from 0 to 1.

[@the_boi_man6860]

@@DR_VIV Ah yes I see. Thank you for the clarification!

[@Abdiedits_]

@@DR_VIV what if instead of from1 to 2, the function was 4 instead of 0. Do you add the integrals?

[@DR_VIV]

@@Abdiedits_ yes. That would be the correct procedure.

[@wajdefadool3459]

what pen is that ?!

[@DR_VIV]

I use many types of fountain pens