4
votes
Accepted
Probability that every polygon contains almost exactly the expected number of samples
Your statement
Surely as $n \to \infty$, the probability that the polygon contains at least $\max(0, \lfloor{nA}\rfloor)$ samples and at most $\lceil{nA}\rceil$ samples tends to $1$
is incorrect. ...
- 154k
4
votes
Multiplicative Reversibility = No Primitive Roots
I use $(a_n a_{n-1} \cdots a_1 a_0)_b$ to mean $\sum a_j b^j$.
I can prove one direction. If $n$ does not have a primitive root, then there is a solution to $x^2 \equiv 1 \bmod n$ other than $\pm 1$. ...
- 61.2k
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