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 Dec16 comment Prove that $f'$ exists for all $x$ in $R$ Dec16 comment Prove that $f'$ exists for all $x$ in $R$ Possible duplicate: math.stackexchange.com/questions/64766/… Dec16 comment How to find $f'$ from the definition of derivative? ... so what is $f'(0)$? Dec16 revised How does one compute estimate of $\theta$ for this density function? added 23 characters in body Dec16 answered How does one compute estimate of $\theta$ for this density function? Dec15 revised How random is the digits of $\pi$? added 304 characters in body Dec15 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. Dec15 comment How random is the digits of $\pi$? @PeterSheldrick: mathematica: Histogram[RealDigits[Pi, 10, 10000][[1]], 10] Dec15 answered How random is the digits of $\pi$? Dec15 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? Dec12 comment In a fraction between integers, what denominators produce a periodic result? Every ratio has periodic decimals, if that's what you're asking. Dec12 revised Defining the Complex numbers added 296 characters in body Dec12 answered Defining the Complex numbers Dec11 answered Show that that $|\sqrt{x}-\sqrt{y}| \le \sqrt{|x-y|}$ Dec11 comment Mind Maps for teaching Mathematics mind maps are a waste of time in general. Dec11 comment Does $\{f_ng_n\}\to fg$ uniformly? how can a sequence be unbounded and convergent under the natural topology? Dec10 comment Relatively compact subset of open set in $\mathbb{R}^n$ Ugh, this is why I secretly hate mathematics. Dec10 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. Dec10 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 $2M$. Dec8 comment Is $x^4+4$ an irreducible polynomial? @Sigur: no general one, because that would probably give you an efficient algorithm for prime factorization.