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 Dec 16 comment Prove that $f'$ exists for all $x$ in $R$ if $f(x+y)=f(x)f(y)$ and $f'(0)$ exists Dec 16 comment Prove that $f'$ exists for all $x$ in $R$ if $f(x+y)=f(x)f(y)$ and $f'(0)$ exists Dec 16 comment Prove that $f'$ exists for all $x$ in $R$ if $f(x+y)=f(x)f(y)$ and $f'(0)$ exists Possible duplicate: math.stackexchange.com/questions/64766/… Dec 16 comment How to find $f'$ from the definition of derivative? ... so what is $f'(0)$? Dec 16 revised How does one compute estimate of $\theta$ for this density function? added 23 characters in body Dec 16 answered How does one compute estimate of $\theta$ for this density function? Dec 15 revised How random is the digits of $\pi$? added 304 characters in body Dec 15 comment How random is the digits of $\pi$? If any of you guys have more requests, I'll be happy to compute/plot more data. Dec 15 comment How random is the digits of $\pi$? @PeterSheldrick: mathematica: Histogram[RealDigits[Pi, 10, 10000][[1]], 10] Dec 15 answered How random is the digits of $\pi$? Dec 15 comment Find the coordinate matrix of the function $\cos^2x$ relative to the ordered basis $\{1,\cos x,\sin x,\sin 2x\}$. Since when are sets ordered? Dec 12 comment In a fraction between integers, what denominators produce a periodic result? Every ratio has periodic decimals, if that's what you're asking. Dec 12 revised Defining the Complex numbers added 296 characters in body Dec 12 answered Defining the Complex numbers Dec 11 answered Show that that $|\sqrt{x}-\sqrt{y}| \le \sqrt{|x-y|}$ Dec 11 comment Mind Maps for teaching Mathematics mind maps are a waste of time in general. Dec 11 comment Does $\{f_ng_n\}\to fg$ uniformly? how can a sequence be unbounded and convergent under the natural topology? Dec 10 comment Relatively compact subset of open set in $\mathbb{R}^n$ Ugh, this is why I secretly hate mathematics. Dec 10 comment Relatively compact subset of open set in $\mathbb{R}^n$ @Cantor: if something is compact in $\mathbb{R}^n$, it is definitely compact in $U$. edit: ah yes, $\overline{A}$ math is simply not a subset of $U$ if it intersects the boundary. Dec 10 comment Relatively compact subset of open set in $\mathbb{R}^n$ Isn't $A$ relatively compact because it is bounded? Just apply Heine-Borel, or am I missing something? If the coordinates of elements of $A$ are bounded by $M$, then $\overline{A}$ is bounded by $2M$.