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Apr
17
comment Proving trigonometric identity $\frac{1+\sin x}{1-\sin x}-\frac{1-\sin x}{1+\sin x}=4\sec x \tan x$
Is the part which you don't understand the meaning of $\sec$ or something else?
Apr
17
reviewed Leave Open Combinatorial Interpretation of these two identities
Apr
17
reviewed Close Prove $\lim_\limits{x\to\infty}\dfrac{P_k(x)}{P_{k+1}(x)}=0$
Apr
17
comment Prove $\lim_\limits{x\to\infty}\dfrac{P_k(x)}{P_{k+1}(x)}=0$
possible duplicate of Finding the limit of $\frac{Q(n)}{P(n)}$ where $Q,P$ are polynomials
Apr
16
reviewed Close rref matrix with equations
Apr
16
reviewed Leave Open Product of two infinite sequences
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 $3$