Contour Integrating sin(x)/x

[@LetsSolveMathProblems]

Hello again! Needless to say, it has been a while since the previous video! Thank you to everyone that is willing to check out the newest video after such a long wait. I will try to post more regularly for at least the next couple months. =)

[@yahia2601]

Thank you for coming back

[@youknowwhatsreallysofunny]

IT'S ALIVE!

[@GauravSingh-ix5js]

Don't do that again.

[@txikitofandango]

I was trying to remember what your channel was called, and now you reminded me by posting a video! Good to see your work again

[@depressedguy9467]

Following you since 2019

[@mediocreburger2893]

return of the king

[@cantcommute]

woah he's back!

[@icouldnthinkofauser]

Awesome to see you back

[@521Undertaker]

Welcome back.

[@matteomoioli5210]

Hi, i do not quite understand why at minute 13:21 you don't consider exp(i\theta) and i no more, can anyone tell me why?

[@tac0cat14]

Hey! Good seeing you back, also at 13:33 why are we only considering the real part of the exponent? I guess the imaginary part would just give another phase of magnitude 1? Not sure, thanks!

[@LetsSolveMathProblems]

You got it perfectly: the imaginary part of the exponent contributes a multiplicative factor of magnitude 1, so it can be ignored.

[@tac0cat14]

@@LetsSolveMathProblems sick, thx!

[@__hannibaal__]

Yeah complex integration techniques it very fascinating; so you can deduce constant gamma from expanding contour integration of 1-cos(x) /x ; from 0 to infini ; and many more advanced méthode that could you found in famous complex book and one of my favorite book is written in middle 1889 from…

[@pichass9337]

Hell yeah. How's college been?

[@LetsSolveMathProblems]

It totally went by in the blink of an eye, but it was great overall! I did miss posting here, and I will try to somewhat make up for it this summer. I hope you and other viewers have been doing well!

[@irvingg2342]

Hey! I think you sound like someone I met at a grad school open house, curious if it was you.

[@LetsSolveMathProblems]

I do not recall meeting someone named Irving, so likely not, although I'm far from the best person at memorizing names. (I do respectfully ask to keep the school name(s) private here for now.) Whether we met or not, I wish you the absolute best of luck in grad school (or any other careers you decided on)!

[@irvingg2342]

@@LetsSolveMathProblems my actual name is Ben, we talked about Harmonic Analysis and algebra a bit (if it was you). I didn’t want to say school name for both our sakes :)

[@LetsSolveMathProblems]

@@irvingg2342 Ah that does sound familiar so maybe! Best of luck again---please do stop by and say hi (to me, or I guess the other person you met) if we run into each other later. =)

[@irvingg2342]

@@LetsSolveMathProblems Best of luck to you, too! I had red hair if that helps btw haha

[@skiplangly6591]

what school did you study at?

[@LetsSolveMathProblems]

I will keep the exact school name private here, but I must say it had a phenomenal math department.

[@geneyoungdho]

You still alive