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Nov
12
revised Convergence of $a_{0} = 0, a_{n}=f(a_{n-1})$ when $|f'(x)|\leq \frac{5}{6}$
edited title
Nov
12
comment Measure of value of resources in a competitive game
Why has this got a close vote?
Nov
12
comment Checking if a number is a Fibonacci or not?
@QIao: Sorry I meant to say if you want to avoid floating point computations. With proper hardware support floating point computation are O(1). I am not claiming binary search is faster. It was mainly in response to "trusting" the results. strlen x is O(logx) btw.
Nov
12
revised Prove the sum of all numbers that do not have a multiplicative inverse mod $n$
attempting again.
Nov
12
comment Checking if a number is a Fibonacci or not?
@Qiao: Guess an $n$, compute $F_n$ (using matrix powers) and compare with $N$. If the entries are smaller, we need a bigger $n$, else smaller. This might be a bit slower, but that is the price you pay for avoiding floating point computations.
Nov
12
comment Convergence of $a_{0} = 0, a_{n}=f(a_{n-1})$ when $|f'(x)|\leq \frac{5}{6}$
Are you missing some condition on $f'(x)$? For instance take $f(x) = -100x + 1$. Perhaps $f'(x) \ge 0$?
Nov
12
comment Convergence of $a_{0} = 0, a_{n}=f(a_{n-1})$ when $|f'(x)|\leq \frac{5}{6}$
+1 for showing the work done.
Nov
12
comment Checking if a number is a Fibonacci or not?
Or we can use binary search and avoid floating point computations altogether.
Nov
12
comment Interesting calculus problems of medium difficulty?
+1: Can you please be more specific, though? What sub-forums for instance?
Nov
12
revised Interesting calculus problems of medium difficulty?
added 3 characters in body
Nov
12
answered Interesting calculus problems of medium difficulty?
Nov
12
answered Interesting calculus problems of medium difficulty?
Nov
12
answered Interesting calculus problems of medium difficulty?
Nov
12
revised Summing $\frac{1}{e^{2\pi}-1} + \frac{2}{e^{4\pi}-1} + \frac{3}{e^{6\pi}-1} + \cdots \text{ad inf}$
rolled back to a previous revision
Nov
12
comment Summing $\frac{1}{e^{2\pi}-1} + \frac{2}{e^{4\pi}-1} + \frac{3}{e^{6\pi}-1} + \cdots \text{ad inf}$
@Derek: i believe it was because of the <. Do you want to rollback to rev 6?
Nov
11
comment Find all continuous functions $f$ on $\mathbb{R}$ satisfying $f(x)=f(\sin x)$ for all $x$.
I removed the different equations and functional analysis tag.
Nov
11
revised Find all continuous functions $f$ on $\mathbb{R}$ satisfying $f(x)=f(\sin x)$ for all $x$.
edited tags
Nov
11
answered Find all continuous functions $f$ on $\mathbb{R}$ satisfying $f(x)=f(\sin x)$ for all $x$.
Nov
11
comment Summing $\frac{1}{e^{2\pi}-1} + \frac{2}{e^{4\pi}-1} + \frac{3}{e^{6\pi}-1} + \cdots \text{ad inf}$
@Derek: Please stop editing! I think I fixed it :-) (See revision 4 or 6)
Nov
11
revised Summing $\frac{1}{e^{2\pi}-1} + \frac{2}{e^{4\pi}-1} + \frac{3}{e^{6\pi}-1} + \cdots \text{ad inf}$
rolled back to a previous revision