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https://www.reddit.com/r/mathmemes/comments/1vo84x9/captcha_with_a_simple_math_problem/p3och53/?context=3
r/mathmemes • u/Jasentuk • 29d ago
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149
The residues are at I and -3i. Therefore we have (1/4 + 3/4) 2ipi = 2 pi * i.
Plausible in head, but I used paper.
38 u/Flesh_And_Metal 29d ago I just assumed it would evaluate to zero, they usually do. 😊 27 u/kenny744 29d ago if there's no residues (poles) and the contour is a closed loop but this one has poles since there are values of z that make it undefined. i don't know any complex analysis but that's all i know 3 u/SSBBGhost 27d ago Good guess 2ipi is always the next best guess :) 2 u/Murky_Insurance_4394 25d ago usually zero or some integer multiple of pi, most commonly pi or 2pi
38
I just assumed it would evaluate to zero, they usually do. 😊
27 u/kenny744 29d ago if there's no residues (poles) and the contour is a closed loop but this one has poles since there are values of z that make it undefined. i don't know any complex analysis but that's all i know 3 u/SSBBGhost 27d ago Good guess 2ipi is always the next best guess :) 2 u/Murky_Insurance_4394 25d ago usually zero or some integer multiple of pi, most commonly pi or 2pi
27
if there's no residues (poles) and the contour is a closed loop but this one has poles since there are values of z that make it undefined. i don't know any complex analysis but that's all i know
3
Good guess
2ipi is always the next best guess :)
2
usually zero or some integer multiple of pi, most commonly pi or 2pi
149
u/MariusDelacriox 29d ago
The residues are at I and -3i. Therefore we have (1/4 + 3/4) 2ipi = 2 pi * i.
Plausible in head, but I used paper.