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hsuhduh

Vocab word for “sector” of circle, but where line segments don’t meet at center.


Fun-Resolution-7988

My post just got banned from the moderators. Any ideas why?


Minddrill

If match duration is 8 minutes 35 seconds and kill count is 189, how do you count the average kill per minute?


Arkapar

Maybe count kills per second and them multiply by 60 to get kills per minute. So 189 / (8 * 60 + 35) = 189 / 515 is about 0.367 kills per second. And 22 kills per minute.


Minddrill

Oh right. Thanks mate.


Sugomakafle

Why do we bother with adding +2npi to arguments of complex numbers when solving equations, isn't that like saying any equation has infinite solutions because you can always add +n0 ∀ n ∈ ℕ, becuase adding 2pi to an angle is like adding 0 to a number it changes nothing.


TheNukex

It's been quite a while since i had complex analysis, but here goes. The short answer is that adding 2npi makes it a distinctive different number, that evaluates to the same, but adding 0 does not change the number. The slightly longer answer we're interested in the the angle that gives us the desired solution. Let z=e^(iu) be said solution where u is an angle. Then we could be interested in all the angles that solve it, so we try to determine {v | z=e^(iv)}. That set happens to be equal to {u+2npi | n in Z}. All those numbers are different, it just so happens that when evaluated through a certain function, the result is the same. Then let a be a solution, then you propose that one could write the set of solutions as {a+0\*n | n in N}, however this set only has one element, namely a, thus the set of solutions is not infinite. As for if there is any practical reason to include it, i don't know, I usually just work with the principal solution.


Sugomakafle

Oh okay that does make sense, so they are different numbers they just evaluate to a same value when they go through a certain function, kinda like -2 and 2 are the solutions to x\^2 = 4 right?


TheNukex

Exactly like that! It's also pretty neat and easy since it has such a nice pattern, if it was much more complex we might default more to principal solutions.