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location Lima, Peru
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visits member for 1 year, 11 months
seen 9 hours ago

Curiosity-driven organism doodling in the intergalactic infinity.


1d
reviewed Reject suggested edit on Graph isomorphism problem for labeled graphs
Jul
22
comment Transforming a latin square into a sudoku
@Peter You solved every possible latin square of size $4\times4$?
Jul
21
comment Longest path in a grid
@ozo I am not claiming that the list is exhaustive, but this seems to answer your question. And thanks for the link!
Jul
21
comment Longest path in a grid
@ozo Yeah, no problem!
Jul
21
asked Longest path in a grid
Jul
15
comment A closed form for $\int_{0}^{\pi/2} x^3 \ln^3(2 \cos x)\:\mathrm{d}x$
Why are you asking for $2\cos x$? why not just $\cos x$? (Not that I can integrate it either, just a question)
Jul
13
reviewed Approve suggested edit on How prove this inequality $\pi<\frac{\sin{(\pi x)}}{x(1-x)}\le 4$
Jul
12
comment Area of the field that the cow can graze.
Considerin Michael's interpretation, the area covered by the circle involute is actually less than we are looking for, since we could wrap the rope around clockwise or anticlockwise.
Jul
12
comment Area of the field that the cow can graze.
Yes, I know. But the rope forms a circle of possible area that the cow can graze, except for the intersection of that circle and the barn.
Jul
12
comment Area of the field that the cow can graze.
You have to inteersect both circles. Can you proceed?
Jul
11
comment Convergent Sequence, mean of previous three numbers
Moreover, your method allows us tu prove that the sequence $\{x_n\}$ consisting of the arithmetic mean of the previous $n$ numbers converges to $$\frac{2\sum^n_{k=1}kx_k}{n(n+1)}$$
Jul
11
comment Convergent Sequence, mean of previous three numbers
@Wonder I think you are right! $p+2q+3r=a+2b+3c$ everywhere, which should be straightforward to prove. Supposing the sequence converges gives $x+2x+3x=a+2b+3c$ and the result follows. Nice way of seeing the problem!
Jul
11
comment deriving $y=\sqrt{x+\sqrt{x+\sqrt{x}}\cdots} $
You want the value of $y$ at $x=6$ or the derivative of $y$ at $x=6$?
Jul
11
comment deriving $y=\sqrt{x+\sqrt{x+\sqrt{x}}\cdots} $
@puru Hehe no, I thought that you found this in a larger limit problem and tried tu use L'Hospital there(because of the strange derivation question)
Jul
11
comment deriving $y=\sqrt{x+\sqrt{x+\sqrt{x}}\cdots} $
Were you trying to do L'Hospital?
Jul
11
revised Convergent Sequence, mean of previous three numbers
deleted 38 characters in body
Jul
11
comment how to find the optimal path for a rescue robot?
Hmm... there is a natural tradeoff between path length and coverage time. Is there some specific target function you are trying to minimize?
Jul
11
revised Convergent Sequence, mean of previous three numbers
added 10 characters in body
Jul
11
answered Convergent Sequence, mean of previous three numbers
Jul
9
revised Big Mathematics Challenge on Set and Summation?
deleted 13 characters in body