We know that: $$\frac 1{2!}+\frac 1{3!}+\frac 1{4!}+\frac 1{5!}+\frac 1{6!}+\cdots =e-2\approx0.71828$$ But I am getting the above sum as $1,$ as shown below: \begin{align} S & = \frac 1{2!}+\frac 1{3!}+\frac 1{4!}+\frac 1{5!}+\frac 1{6!}+\cdots \\[10pt] & = \frac 1{2!} + \frac {3-2}{3!} +\fra...
Perhaps the chaos-theory and chaotic-systems tags should be merged? The second has no official description but I can hardly imagine what the difference should be.
The list of proposals on the 2016 thread that are still open: Proposal to rename the "adjoint" tag Proposal to join the "chaos theory" and "chaotic systems" tags Proposal to change the name of the "divisors" tag Proposal to make the "compactification" tag a synonym of the "compactness" tag Pr...
I propose creating relation-composition tag and making it a synonym of function-composition. I think that if composition of functions is important enough to have its own tag, then so is composition of relations. But it would probably be better to have both topics under the same tag. We definitel...
Maple shows that $$ \sum_{0 \le k \le m} \frac{2^k}{(k+1)} = -i/2\pi -2\,{2}^{m} \left( 1/4\,{\it \Phi} \left( 2,1,m \right) -1 /4\,{m}^{-1}-1/2\, \left( m+1 \right) ^{-1} \right) $$ where $\Phi$ denotes Lerch's transcendent. How can we prove this? I have checked a few books but haven't got a cl...
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