Aryabhata
Reputation
60,444
412/400 score
 Nov 15 answered Solving $2x - \sin 2x = \pi/2$ for $0 < x < \pi/2$ Nov 15 revised Given $a_{1}=1, \ a_{n+1}=a_{n}+\frac{1}{a_{n}}$, find $\lim \limits_{n\to\infty}\frac{a_{n}}{n}$ added 134 characters in body Nov 15 revised Given $a_{1}=1, \ a_{n+1}=a_{n}+\frac{1}{a_{n}}$, find $\lim \limits_{n\to\infty}\frac{a_{n}}{n}$ added 1876 characters in body; added 152 characters in body; added 2 characters in body; added 30 characters in body; added 85 characters in body Nov 15 comment How can one efficiently generate n small relatively prime integers? @Charles: The whole point of the question is to generate small numbers which are relative prime and if possible in linear time. This answer does not help in that regard (the reason for my -1). The mistakes are irrelevant. Nov 15 comment $G$ finite abelian. $G/H$, $G/K$ primary cyclic. $H\cap K=1$. $H\neq 1\neq K$. Is $HK=G$? +1 for showing the attempt. Nov 15 revised Polynomials, derivatives and repeated roots added 93 characters in body Nov 15 comment Polynomials, derivatives and repeated roots +1: For a more general proof. Nov 15 comment Polynomials, derivatives and repeated roots @Arturo: Given the way the question was phrased, I am confident this is $\mathbb{R}[x]$ or $\mathbb{C}[x]$. (Looks more like a high-school/beginning college level question to me). Nov 15 comment Polynomials, derivatives and repeated roots @Qia: Why can't we assume that in $\mathbb{R}[x]$? Nov 15 answered Polynomials, derivatives and repeated roots Nov 15 comment Recurrence trouble: $T(n)=2T(n/2)+T(n/3)+\theta(n^2)$ @ECE: What do you mean by better result? Akra-Bazzi immediately shows that T(n) = theta(n^2). What more are you expecting? Nov 15 comment Recurrence trouble: $T(n)=2T(n/2)+T(n/3)+\theta(n^2)$ @ECE: A better way is Akra-Bazzi as I just described! If this is homework and you are expecting a simpler answer, please say so. Nov 15 comment Recurrence trouble: $T(n)=2T(n/2)+T(n/3)+\theta(n^2)$ @ECE: I still have no clue what you are trying to say. I have edited the answer to add more information. Nov 15 revised Recurrence trouble: $T(n)=2T(n/2)+T(n/3)+\theta(n^2)$ added 216 characters in body; added 56 characters in body Nov 15 comment Recurrence trouble: $T(n)=2T(n/2)+T(n/3)+\theta(n^2)$ @ECE: What? I don't understand. Nov 15 revised Recurrence trouble: $T(n)=2T(n/2)+T(n/3)+\theta(n^2)$ added 57 characters in body; edited title; deleted 15 characters in body; edited title; added 1 characters in body Nov 15 answered Recurrence trouble: $T(n)=2T(n/2)+T(n/3)+\theta(n^2)$ Nov 15 answered How to find the logical formula for a given truth table? Nov 14 revised Calculate point on hypotenuse of right-angled triangle deleted 62 characters in body Nov 14 revised Does the series $\sum\limits_{n=1}^{\infty}\frac{\sin(n-\sqrt{n^2+n})}{n}$ converge? added 18 characters in body; edited title