Peter Taylor
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 Apr 16 reviewed Reopen Existence of integer. Apr 16 reviewed Leave Open Prove $(n,m)R(r,s) \equiv (n>r) \text{ or } (n=r \text{ and } m\geq s)$ is an order relation. Apr 16 reviewed Leave Open Abelian groups axioms with minus in place of plus Apr 15 reviewed Looks OK Representing every positive rational number in the form of $(a^n+b^n)/(c^n+d^n)$ Apr 15 comment Representing every positive rational number in the form of $(a^n+b^n)/(c^n+d^n)$ Could you explain where the 5 and 30 come from? Apr 15 reviewed Reopen Number of circuits that surround the square. Apr 15 reviewed Close Are intersection of power set and power set of intersection equal? Apr 15 reviewed Close What are some good problem solving techniques for Math Olympiad style tests? Apr 2 reviewed Close StackEgg optimal algorithm Apr 2 reviewed Leave Open How can I find the closed form of this recursive relationship: $a_{n}=(a_{n-1})^2+a_{n-1},a_{0}=1$ Apr 2 comment How can I find the closed form of this recursive relationship: $a_{n}=(a_{n-1})^2+a_{n-1},a_{0}=1$ Knuth's comment in OEIS that "Using the methods of Aho and Sloane, Fibonacci Quarterly 11 (1973), 429-437, it is easy to show that $a_n$ is the integer just a tiny bit below the real number $\theta^{2^n}-\frac12$, where $\theta \approx 1.597910218$ is the exponential of the rapidly convergent series $\ln\frac32+\sum_{n \ge 0} \ln(1+(2a_n+1)^{-2})$" gives you a starting point. Apr 2 reviewed Close Is the difference of two decreasing functions also decreasing? Apr 2 reviewed Leave Open Prob. on Technique Of Counting Apr 1 reviewed Close Nonsigular curve of degree $3$ in $\mathbb P^2$ over a field of characteristic $3$ Apr 1 reviewed Leave Open Probability of exactly k out of n events occuring Apr 1 reviewed Close “If a group $G$ is cyclic, then it has no proper subgroups.” True or false? Apr 1 reviewed Leave Open Parametric representation of a plane cut of a sphere at y=5 Mar 31 reviewed Leave Open Relation between Hermite polynomials and Brownian motion (on martingale property) Mar 31 reviewed Close Bijection between natural numbers $\mathbb{N}$ and natural plane $\mathbb{N} \times \mathbb{N}$ Mar 31 reviewed Close What is $T>0$ large enough such that $\mu\left(B\right)<\varepsilon$?