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kcborys

Math B.S. and algorithmic programming competition hobbyist. Always trying to improve

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3 Find a closed formula to the sum: $\sum_{k=2}^{50}k (k-1){50 \choose k}$ Oct 10 '16
3 How does the trigonometric identity $1 + \cot^2\theta = \csc^2\theta$ derive from the identity $\sin^2\theta + \cos^2\theta = 1$? Jul 15 '17
2 Find all the natural numbers $n$ such that $\left\lfloor\frac{n^2}{3}\right\rfloor$ is prime Jul 15 '17
2 find all values of x that are not in the domain of h Aug 18 '16
2 Combinatorics permutation problem Oct 22 '18
2 Solving logarithmic equation $2\log _{2}(x-6)-\log _{2}(x)=3$ Jan 22 '19
2 Why is that for $x = \frac{\sum_{n=1}^{(p-1)} n}{p}$, where $p$ is a prime number, $x$ is always a positive integer? Oct 24 '19
2 Inverse operation of xor Oct 26 '18
1 How much bigger is 3↑↑↑↑3 compared to 3↑↑↑3? Oct 22 '18
1 Find the number of paths in random walk Oct 24 '18
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