Aryabhata
Reputation
56,743
397/400 score
 Nov15 revised Polynomials, derivatives and repeated roots added 93 characters in body Nov15 comment Polynomials, derivatives and repeated roots +1: For a more general proof. Nov15 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). Nov15 comment Polynomials, derivatives and repeated roots @Qia: Why can't we assume that in $\mathbb{R}[x]$? Nov15 answered Polynomials, derivatives and repeated roots Nov15 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? Nov15 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. Nov15 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. Nov15 revised Recurrence trouble: $T(n)=2T(n/2)+T(n/3)+\theta(n^2)$ added 216 characters in body; added 56 characters in body Nov15 comment Recurrence trouble: $T(n)=2T(n/2)+T(n/3)+\theta(n^2)$ @ECE: What? I don't understand. Nov15 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 Nov15 answered Recurrence trouble: $T(n)=2T(n/2)+T(n/3)+\theta(n^2)$ Nov15 answered How to find the logical formula for a given truth table? Nov14 revised Calculate point on hypotenuse of right-angled triangle deleted 62 characters in body Nov14 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 Nov14 comment Does the series $\sum\limits_{n=1}^{\infty}\frac{\sin(n-\sqrt{n^2+n})}{n}$ converge? +1 for showing the effort. Nov14 comment How to calculate the expected number of distinct items when drawing pairs? +1: For the effort! Nov14 comment Given $a_{1}=1, \ a_{n+1}=a_{n}+\frac{1}{a_{n}}$, find $\lim \limits_{n\to\infty}\frac{a_{n}}{n}$ @daniel: No need to forget, it actually can be made to work! Nov14 comment Given $a_{1}=1, \ a_{n+1}=a_{n}+\frac{1}{a_{n}}$, find $\lim \limits_{n\to\infty}\frac{a_{n}}{n}$ you need a little more steps to get rid of Sum (1/a_k_^2) Nov14 comment Given $a_{1}=1, \ a_{n+1}=a_{n}+\frac{1}{a_{n}}$, find $\lim \limits_{n\to\infty}\frac{a_{n}}{n}$ @daniel: How did you get rid if Sum (1/a_k_^2) ? btw 2 is correct :-)