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1d
answered Why is $(1-\cot 37^\circ)(1-\cot 8^\circ)=2.00000000\cdots$?
1d
comment Proof Verification for $n2^{n-1} = \sum\limits_{k=1}^n k\binom{n}{k}$
The special case $n=2$ provides an easy counterexample. The value of the sum in the title is $\sum_{k=1}^{2}2\binom{2}{k}=2\binom{2}{1}+2\binom{2}{2}=6$. But $n2^{n-1}$ evaluates to $2\cdot 2^{1}=4$.
1d
comment Proof Verification for $n2^{n-1} = \sum\limits_{k=1}^n k\binom{n}{k}$
Note the sum in the title and the sum in the proof are not the same.
2d
comment How prove this number of the methods is this $\prod\prod 4\cos^2{\frac{j\pi}{m+1}}+4\cos^2{\frac{k\pi}{n+1}}$
By $[m/2]$ do you by chance mean the floor or ceiling function? And if so, which one?
2d
answered Combinatorial identity with sum of binomial coefficients
2d
revised Computing $\sum_{n=1}^{\infty} \frac{\psi\left(\frac{n+1}{2}\right)}{ \binom{2n}{n}}$
Added new section; minor revisions
2d
revised Computing $\sum_{n=1}^{\infty} \frac{\psi\left(\frac{n+1}{2}\right)}{ \binom{2n}{n}}$
Added new section
2d
comment Computing $\sum_{n=1}^{\infty} \frac{\psi\left(\frac{n+1}{2}\right)}{ \binom{2n}{n}}$
@Lucian As currently written the trigamma terms cancel out, and I'm thinking it can't be that easy. Is there a typo?
2d
answered Computing $\sum_{n=1}^{\infty} \frac{\psi\left(\frac{n+1}{2}\right)}{ \binom{2n}{n}}$
Nov
22
comment Computing $\sum_{n=1}^{\infty} \frac{\psi\left(\frac{n+1}{2}\right)}{ \binom{2n}{n}}$
@mick I can almost guarantee you that any solution tat might be posted will in large part be based on the solutions of difficult integrals, thus justifying the tags. That said, I think it would be marvelous if someone could prove me wrong and demonstrate a method relaying purely on series manipulation. :)
Nov
22
comment Evaluating $\displaystyle4\int \frac{\tan^2x\:\sec\:x}{\sec\:x\:+1}dx$
Trig substitution is just one possible way to do the problem. I think Euler substitutions are a much more elegant method for these types of integrals though.
Nov
21
awarded  Nice Answer
Nov
21
comment Find all the partial limits of $x_n=\frac{n-1}{n+1}\cdot\cos(\frac{2 \pi n}{3})$
By partial limits due by chance mean partial sums?
Nov
21
revised How to solve the equation $\sum_{n=1}^\infty n^{-2}/\binom{n+x}{n} =\frac{3}{2}$ for $x$?
Added note
Nov
21
comment A Deviation from a Conventional Proof of the Basel Problem
@teadawg1337 I was actually planning on editing my answer to complete the derivation in better detail, but I'm having miserable internet connection issues, and I wanted to post a partial solution before I crashed. I'll make sure to include references for the key definitions and properties of dilogs we need.
Nov
21
answered A Deviation from a Conventional Proof of the Basel Problem
Nov
21
comment How can I write a function like this?
Have you considered, oh I dunno, the sine function?
Nov
21
answered Simple everyday math
Nov
21
comment Examples of Mathematics in Court
The infamous Indiana pi Bill comes to mind. :)
Nov
21
answered Most ambiguous and inconsistent phrases and notations in maths