Aryabhata
Reputation
416/400 score
 Apr 14 awarded Notable Question Apr 1 awarded Popular Question Mar 29 comment Diophantine system of two equations with four variables +1: More accessible to a 9th grader, than complex numbers I suppose. Mar 29 answered Diophantine system of two equations with four variables Mar 28 revised Counting the number of integers $i$ such that $\sigma(i)$ is even. edited tags Mar 28 revised Counting the number of integers $i$ such that $\sigma(i)$ is even. edited tags Mar 28 comment Counting the number of integers $i$ such that $\sigma(i)$ is even. Is this an algorithm problem? Assuming it is, retagging as elementary-number-theory. Mar 26 comment Calculation of limit without stirling approximation A previous answer of mine proves this in a completely elementary fashion: math.stackexchange.com/a/131084/1102. Falls right out of Proposition E. Mar 26 comment Can the sum of reciprocals of a set without density converge? Convergence implies density is zero. See: math.stackexchange.com/questions/5932/… Mar 26 revised Proof : Limit of a sequence edited tags Mar 19 revised Aproximation of $a_n$ where $a_{n+1}=a_n+\sqrt {a_n}$ more informative title. Mar 19 comment Aproximation of $a_n$ where $a_{n+1}=a_n+\sqrt {a_n}$ This is not pedantry. I don't think this is as trivial as you seem to be implying. Unless you have a proof, you are just handwaving. Anyway, you are free not to elaborate, and I am free to leave the downvote intact. Mar 19 revised Aproximation of $a_n$ where $a_{n+1}=a_n+\sqrt {a_n}$ edited tags Mar 19 comment Aproximation of $a_n$ where $a_{n+1}=a_n+\sqrt {a_n}$ Please take at least a day or two before accepting an answer. In this case, the accepted answer is incomplete. Mar 19 comment Aproximation of $a_n$ where $a_{n+1}=a_n+\sqrt {a_n}$ The heuristic is only a first step. Making it rigorous is the hard part. -1 till there is a proof. Sorry. Mar 18 comment Quotient of a regular language @AstroNauft: You don't need to determine anything. It is a non-constructive proof. $L$ could be any language. Mar 18 comment The limit : $\lim _{x \to \infty } \sqrt{x^2 +x} - \sqrt{x^2 +1}$ Mar 17 comment How to show that $\lim_{n \to +\infty} n^{\frac{1}{n}} = 1$? @ADG: It is my name, I will spell it as I want! :-). Just kidding :-). Apparently, it is actually Aryabhata and not Aryabhatta. In fact I had it as Aryabhatta till ShreevatsaR corrected me. Mar 15 awarded Nice Answer Mar 13 revised Big O notation and limits edited tags