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 Jun 29 comment How to solve: $0 = -\sin \space 3x \cdot3, \left({\pi\over 12}, {7\pi \over12}\right)$ @Matt You're very right, my mistake. Jun 28 comment How to solve: $0 = -\sin \space 3x \cdot3, \left({\pi\over 12}, {7\pi \over12}\right)$ I think he means the values $c$ for which $f'(c) = 0$ in the interval $[\frac{\pi}{12},\frac{7\pi}{12}]$, from Roll's Theorem. Aug 15 comment Solving $x^2 \cdot y^2 + x^2 + y^2 = c^2$ with $x$, $y$, $c \in \mathbb{Z}^+$ I have read your answer, and I agree a lot. I am letting my mind go over it while I am sleeping, that always helps. The reduction of the range of $x$ is good, it should help. I hope though that something in the range of $10^{11}$ is computable. Aug 15 comment Solving $x^2 \cdot y^2 + x^2 + y^2 = c^2$ with $x$, $y$, $c \in \mathbb{Z}^+$ I really don't understand what you are trying to do in your solutions. Maybe I am not mathematically educated enough. If it is really a solution to my problem, it would be nice if you could explain a little what you are doing. Aug 15 comment Solving $x^2 \cdot y^2 + x^2 + y^2 = c^2$ with $x$, $y$, $c \in \mathbb{Z}^+$ @MarkBennet Thanks for the comment, I found that out already. I still require 25 minutes of computing power to calculate all the $(x, y)$ for $c \le 10^6$. $10^{10}$ is just not possible brute force. Aug 15 asked Solving $x^2 \cdot y^2 + x^2 + y^2 = c^2$ with $x$, $y$, $c \in \mathbb{Z}^+$ Aug 11 awarded Scholar Aug 11 comment Solving $\phi (n) < (n-1) \cdot \frac{15499}{94744}$ That is a great answer, it gave me the push in the back to find the answer. Thanks a lot for your time. Aug 11 accepted Solving $\phi (n) < (n-1) \cdot \frac{15499}{94744}$ Aug 11 comment Solving $\phi (n) < (n-1) \cdot \frac{15499}{94744}$ @MarkBennet I got that part covered. Thanks so far for all the input, I'm coming somewhere. Aug 11 comment Solving $\phi (n) < (n-1) \cdot \frac{15499}{94744}$ Very right, this is what I am calculating. Editing the question. Aug 11 revised Solving $\phi (n) < (n-1) \cdot \frac{15499}{94744}$ added 171 characters in body Aug 11 asked Solving $\phi (n) < (n-1) \cdot \frac{15499}{94744}$ Mar 18 awarded Citizen Patrol Mar 14 revised How do we get the result of the summation $\sum\limits_{k=1}^n k \cdot 2^k$? Added LaTeX to make the question more readable Mar 14 suggested approved edit on How do we get the result of the summation $\sum\limits_{k=1}^n k \cdot 2^k$? Mar 14 awarded Quorum Feb 28 comment How to solve $\frac{dp}{dt}=t^2p-p+t^2-1$ $\int (t^2 -1)dt = \frac{1}{3} t^3 - t$. Typo probably. Feb 20 comment Regular Expressions - alphabet $(a, b, c)$ Is this maybe a StackOverflow question? Please show what you need it for, and what you have tried so far. Feb 20 comment Definition of asymptote In infinity, the distance between the line and the asymptote is 0, as you state. When the distance is 0, two lines touch/intersect.