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Results tagged with geometric-probability
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user 158175
3
votes
1
answer
180
views
A question about average deviation of given $n$ complex numbers
This question just came to my mind and I have no idea as to how to approach it. Let $z_1,z_2,\dots,z_n$ be $n$ be any complex numbers in the unit disc $|z| \leq 1.$ Consider a complex function on the …
- 826
6
votes
2
answers
487
views
Average distance of the mean of $n$ random complex numbers in a unit disc
Let $z_1,z_2,\dots,z_n$ be $n$ complex numbers distributed uniformly and randomly over the unit disc $x^2+y^2 \leq 1$. Let $z$ be the complex number defined by the mean of the of these numbers,that i …
- 826
8
votes
3
answers
1k
views
Taking points uniformly inside a general finite geometric domain
It is well known that if we want to take $n$ uniformly and randomly points inside a circle of radius $r$ and centered at the origin the following apparently correct approach for generating $x$ and …
- 826