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May
16
comment what is the minimum value of the angles inside these triangles?
I think the question is: what is the smallest angle $\alpha$ such that there exists a dissection of the square into triangles satisfying two properties: that none of the triangles has an internal angle greater than $\alpha$; and that no vertex of a triangle touches another triangle except at a vertex. If so, there's an easy lower bound of 67.5 degrees.
May
15
answered Turing Machine Decidability
May
13
answered Non-inductive, not combinatorial proof of $\sum_{i \mathop = 0}^n \binom n i^2 = \binom {2 n} n$
May
13
answered Unbounded sequence with convergent subsequence
May
12
awarded  Nice Question
May
6
comment Calculate the Probability for Binary Matrix
I assume that the second sentence means that each element of the matrix is $1$ with probability $p$, but is the third sentence talking about independence of random variables or about linear independence (i.e. the matrix is non-singular)?
Apr
25
answered Repeating cycles in the $3n-1$ problem
Apr
23
comment Repeating cycles in the $3n-1$ problem
Your cycles have a very close link with the cycles of $3n+1$ starting with negative $n$.
Apr
19
comment Return of the lost ant 3D
That such paths exist isn't an problem. Whether or not they have a length is another matter.
Apr
17
comment Maximum number of edges in a (n,n) bipartite graph, that doens't have a complete bipartite subgraph $K_{r,r}$
$c=0$ works for every $r$.
Apr
17
comment Maximum number of edges in a (n,n) bipartite graph, that doens't have a complete bipartite subgraph $K_{r,r}$
There's a trivial solution: let $c=0$. If $r=1$ then that's tight.
Apr
17
comment Prove that there are two frogs in one square.
Harry Dunlop's answer already provides a solution: this is essentially just Hilbert's Hotel backwards.
Apr
16
revised an intriguing integral $I=\int\limits_{0}^{4} \frac{dx}{4+2^x} $
edited tags
Apr
16
revised Inverse quantile function for $\sin^2(x)$
edited tags
Apr
15
comment Game Theory - Voting
The procedure as described doesn't seem to always select a winner. If A gets 51%, B gets 49%, C gets 0%, and D gets 0% then the first round of eliminations should ditch C and D, but neither A or B can be eliminated.
Apr
15
comment Proof that $12$ in a row tic-tac-toe is a tie game?
Tic-tae-toe on an infinite grid can never end in a tie. Presumably you mean that neither player has a winning strategy.
Apr
11
comment closed form of a specific crazy summation?
It looks like you have a closed form already.
Apr
8
answered Round Robin for Team Matches
Apr
8
comment Round Robin for Team Matches
Does en.wikipedia.org/wiki/… help?
Apr
8
comment Making 7 vertices triangle free graph bipartite by deleting an edge
There's a trivial counter-example: the graph with $|V|=7$ and $|E|=0$.