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4h
answered Half secant in Circle
5h
answered Reduction formulae in definite integration
5h
revised Calculating in closed form another digamma alternating series
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5h
comment Calculating in closed form another digamma alternating series
@Chris'ssistheartist: anyway, with the same approach the series appearing in the supplementary question is easily seen to be the integral over $(0,1)$ of some rational function, so I bet your output can be greatly simplified.
5h
comment Calculating in closed form another digamma alternating series
@Chris'ssistheartist: I think it is possible but probably the mixed series/integral approach is the easiest way. We had to go through $24$-th roots of unity, so great skills are needed to recognize the right decomposition directly in the series.
5h
answered Calculating in closed form another digamma alternating series
6h
revised Integral of polynomial related to prime divisors
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7h
answered Relations involving the altitudes and orthocenter of a triangle
7h
answered Integral of polynomial related to prime divisors
8h
answered Simplifying $\sum_{i=0}^n i^k\binom{n}{2i+1}$
8h
answered Prove that $\cos \arctan 1/2 = 2/\sqrt{5}$
8h
comment Is every sufficiently large even integer the sum of distinct primes?
@Ataulfo: I do not want to sound rude, but what your comment has to do with my answer? I did not assume that one is a prime (how to dare?) neither mentioned suggestive formulations of Goldbach's conjecture.
8h
comment Why is the estimate of the order of error in Trapezoid converging to $2.5$?
What the location of the stationary points has to do with the order of convergence of the trapezoid method?
8h
answered Why is the estimate of the order of error in Trapezoid converging to $2.5$?
9h
revised Is there a Markov-type inequality for the Median?
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9h
comment Is there a Markov-type inequality for the Median?
@Bey: we have to assume something stronger ($X\in L^2$) since otherwise the median may be arbitrarily large/small in terms of $\mathbb{E}[X]$, even if the density is smooth and unimodal.
9h
revised Is there a Markov-type inequality for the Median?
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9h
answered Is there a Markov-type inequality for the Median?
9h
comment Why is the estimate of the order of error in Trapezoid converging to $2.5$?
in your question, now $p$ is defined in terms of $I_n$, but $I_n$ is still undefined (however, this time is not difficult to guess what it is).
10h
revised $ DB\cdot DC = HA\cdot HB + KA\cdot KC.$
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