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 Nov9 answered Equivalent conditions to $0\leq x+\frac{1}{2}x(1-x)a\leq 1$? Nov9 revised Interpreting division added 37 characters in body Nov9 answered Interpreting division Nov9 comment How can I solve this system? Plugging the 1st and 2nd equations into the 3rd, we get a quadratic equation for y. Nov9 revised Hard algebra problem added 351 characters in body Nov9 revised Hard algebra problem added 351 characters in body Nov9 revised Hard algebra problem added 158 characters in body Nov9 revised Hard algebra problem deleted 2 characters in body Nov9 answered Hard algebra problem Nov9 comment How could we find the largest number in the sequence $\sqrt{50},2\sqrt{49},3\sqrt{48},\cdots 49\sqrt{2},50$? Note that if the original question is for example $n\sqrt{50-n}$ instead of $n\sqrt{51-n}$, no integer $n$ satisfies the equality of the AM-GM inequality; in that case, a more careful evaluation, such as that used in Jyrki Lahtonen's answer, is needed. Nov8 awarded Nice Answer Nov8 accepted Calculating the probability that a cord makes a knot Nov8 comment Calculating the probability that a cord makes a knot Thanks so much, that's what I'm looking for. If you post your comment as an answer I'll accept it. Nov8 answered How could we find the largest number in the sequence $\sqrt{50},2\sqrt{49},3\sqrt{48},\cdots 49\sqrt{2},50$? Nov7 comment Is there a good online dictionary/encyclopedia for mathematics? If you read Japanese, the most recent (Japanese 4th) edition of the Encyclopedic Dictionary of Mathematics has an accompanying CD-ROM that contains PDF files of the 4th and 3rd (equivalent to English 2nd) edition, which I find extremely convenient. (But of course they are not for free.) Nov7 comment Proving a large factorial expression for $1 \le m \le n - 1$ math.stackexchange.com/questions/70190/… Nov7 comment Higher order derivative of parameter curves $\frac{d^2y}{dx^2}=\frac{d}{dx}\left(\frac{dy}{dx}\right)$, and $\frac{d}{dx}(\cdots)=\frac{dt}{dx}\frac{d}{dt}(\cdots)$ Nov7 revised Mathematics and Music added 36 characters in body Nov7 answered Mathematics and Music Nov7 asked Calculating the probability that a cord makes a knot