Gerry Myerson
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395/400 score
 Mar13 comment Find the size of the area (triangle in a trapezoid) Maybe $M$ as in "midpoint"? Mar13 answered Prove trees has a leaf in set of vertices coloured black, or set of vertices coloured white Mar13 comment Prove trees has a leaf in set of vertices coloured black, or set of vertices coloured white According to the song, all the leaves are brown. Mar13 comment question on prime number For $a$ not a square, the answer is known. By everyone. Unfortunately, there isn't anyone who can prove it. Mar13 comment Constructing a 3-regular graph with no 3-cycles You have $2n$ vertices numbered $1,2,\dots,n$ --- do you mean $1,2,\dots,2n$? Mar13 revised Find a formula that generates the following sequence formatting for readability Mar13 comment Arbitrary ratio sequences on a partition of $\mathbb{R}$ (Partition regularity of fixed ratio sequences) You might be interested in Hindman, Neil; Leader, Imre; Strauss, Dona; Open problems in partition regularity, Special issue on Ramsey theory, Combin. Probab. Comput. 12 (2003), no. 5-6, 571–583, MR2037071 (2005e:05147) Mar13 comment Arbitrary ratio sequences on a partition of $\mathbb{R}$ (Partition regularity of fixed ratio sequences) I'd say it fits into Ramsey Theory. I know I've seen similar questions about the integers; given $n$ and some system of linear equations, is it true that in any partition of the integers one part will contain a solution to the system. I think there were papers by Neil Hindman. Mar13 comment Find a formula that generates the following sequence @Don, the answer to "find a formula that generates the following sequence". Mar13 answered Find a formula that generates the following sequence Mar13 comment For what values of a is this vector in the span Oh, "triples of real numbers" just means things like $(\sqrt2,\pi,-49.873)$. Mar13 comment For what values of a is this vector in the span Do those operations actually give a vector space? Don't remember seeing anything like that before. Mar13 comment Simplifying $3^2 + (-8\div2)$ ScienceTechnologyEngineeringMathematics, I think. Mar12 comment System of equations wrt self-adjoint operators Nice to know that it is possible to work through my hints and get to the answer! Mar12 comment Solving for vector in linear algebra First, that's a new question, not a comment on an answer to an existing question. Second, it may be a question better suited for the programming site than this math site. Mar12 revised Prove that $-\frac{\sqrt{x}}{1+x}\log{x} \leq \log{2}$ for $0 < x < 1$ edited tags Mar12 comment Simplifying $3^2 + (-8\div2)$ @Tanner, that would be very sad, if true. Mar12 comment Simplifying $3^2 + (-8\div2)$ You are being asked to divide $-8$ by $2$, not into $2$. Mar12 revised Simplifying $3^2 + (-8\div2)$ edited tags Mar12 comment Approximating a sequence with funny recurrence For what it's worth, the number of fixed points in all involutions on an $n$-set is tabulated at oeis.org/A013989 along with a recursion and some other information. The number of involutions is tabulated at oeis.org/A000085 (and of course your sequence is the termwise quotient of these two sequences).