Let's calculate i factorial

Well....sorta calculate i! but we do have a cool exact result so I'd say that's a job well done for the day.

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[whenelvescry]

bro got the wrong answer and had to switch subjects to justify it 💀💀 (i'm in eng and have turned in lab reports with 200% error)

[GearsScrewlose]

Mathematicians only care about approximation when they are trying to get a handle on something, while engineers don’t care about exact solutions ever.

[decaf]

The “ok, cool” is very comforting at this point

[neilgerace]

Yes, suppose the engineer's bridge or cable is 8% short. No problem, it's within tolerance :)

[SuperSilver]

The Closed Form Gods are crying in the club right now!

[OscgrMaths]

Amazing as usual, I love results like these so much!

[Tosi]

as i always hate approximations, I'll try to find a better closed form for it

[waarschijn]

f(conjugate(z)) = conjugate(f(z)) provided that f is analytic and real on the real axis

[CM_France]

Hi,

13:00 It would be better to get an interval. For the modulus and for the argument as well.

"ok, cool" : 2:44, 5:43, 9:05, 9:20 .

[chaosredefined]

I had a lecturer ask me to figure out the bandwidth of an oscillator. He didn't have a formula for it, but was curious what we could come up with. The bandwidth is (b - a), where a and b are where the function is 50% of it's peak. I know where the peak is, and I got (b^2 - a^2) = thing, at which point I got stuck. I came up with an approximation based on the idea that the peak was at the halfway point (so, (a+b)/2) and presented it to the lecturer. Later, I realised I could get past it without the approximation and came back with the exact formula. He said he preferred the approximation.

[davidgillies]

The modulus of the approximation converges fast on the true value of ~ 0.521564, but the approximation itself converges more slowly (so successive approximants lie approximately on a circular arc in the complex plane).

[NikitaMelik-Marutov]

Wow!!! Your videos always surprises and shows that math is magic. Thanks for sharing

[salvatoreippolito]

This video is gold. From the procedure to the engineers dissing.

[bandishrupnath]

Sir its gud to be back, had some serious issues in my country( BD) . LOVE ur videos . U have just sum wonderful equations and its solutions.

[whippyPoo]

Love this vids even though the highest math class I've taken at the moment is calc 2 lmao

[zygoloid]

@4:20 Also worth noting that e^(conj z) = conj e^z, since that's probably the least trivial fact you're relying on here (still fairly trivial though).

[benjialuffie]

Blackpenredpen gets i!=.498-.1549i? Who is right?

[bigbrewer]

cool (but quite simple) integral: Integral from 1 to e of: e^(-x)ln(x)dx = ln(2)

[lokeshraybarman]

Beautiful I just got to know about your YouTube channel ❤❤❤❤❤it's outstanding ❤❤❤❤

[RagaGian]

Why is the answer different from what I get in WolframAlpha? 🙏🙏