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Mar
19
awarded  Necromancer
Feb
16
comment Closed form for $\int_0^1\log\log\left(\frac{1}{x}+\sqrt{\frac{1}{x^2}-1}\right)\mathrm dx$
Maybe this formula is better and shorter? $$-\gamma - \ln {\frac {8 \pi ^ 2} {\Gamma (\frac {1} {4}) ^ 4 }}$$
Feb
13
comment Surprising identities / equations
It looks interesting. In other words: $^{2}3 + ^{2}4 + ^{2}3 + ^{2}5 = 3435$, where $^{b}a$ is tetration.
Dec
5
revised How do I compute multinomials efficiently?
Added reference to code in github.com repository.
Dec
5
answered How to solve an nth degree polynomial equation
Nov
27
comment Why does $1+2+3+\cdots = -\frac{1}{12}$?
@GottfriedHelms, I don't know. Probably there is a way to evaluate not only c coefficient (-1/12) of this parabola, but a and b too. It works only with infinite number of points (excel can process only finite set).
Sep
27
comment Why does $1+2+3+\cdots = -\frac{1}{12}$?
@ChrisCulter, yep, it's my additions. I updated the answer.
Sep
27
revised Why does $1+2+3+\cdots = -\frac{1}{12}$?
Added explanation, more clear picture.
Sep
11
answered Why does $1+2+3+\cdots = -\frac{1}{12}$?
Apr
1
awarded  Notable Question
Dec
16
awarded  Caucus
Nov
10
awarded  Announcer
Jul
2
awarded  Curious
May
21
awarded  Popular Question
Feb
16
revised Calculate $\lceil \frac{n}{log_2k} \rceil; n \geqslant 1, k \geqslant 2$ with only integer functions
added 10 characters in body; edited title
Feb
16
comment Calculate $\lceil \frac{n}{log_2k} \rceil; n \geqslant 1, k \geqslant 2$ with only integer functions
@abstractnature, I typed in latex by myself with help of MathJax basic tutorial and quick reference. Also I used Detexify2 service for getting '\' code in latex. Why did you ask about it?
Feb
16
asked Calculate $\lceil \frac{n}{log_2k} \rceil; n \geqslant 1, k \geqslant 2$ with only integer functions
Jan
24
awarded  Popular Question
Aug
7
awarded  Yearling
Aug
5
awarded  Announcer