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the mean square The Mean Square
(with one standard deviation and several unusual ones)

aka Rob Johnson

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Where would math be if Fermat had Post-it notes?


Sep
10
comment Proving that $A\subset B \implies \hat A \subset \hat B$
You're thinking too hard.
Sep
10
comment Proving that $A\subset B \implies \hat A \subset \hat B$
@BenjaLim: I have been trying to find a hint that is not a full answer. It is not easy.
Sep
10
revised Proving that $A\subset B \implies \hat A \subset \hat B$
hide the conclusion
Sep
10
reviewed Approve suggested edit on equal ranks for symmetric matrices of the form $A = P^tBP$?
Sep
10
comment Integral question: zeroes of the primitive.
@mick: I was more trying to draw attention to being polite than how to improve the answer. You could just as easily have described what you had done (this can be very important) and then asked, "how should I proceed?"
Sep
10
answered Uniform convergence problem for sine function
Sep
10
comment Finding $\lim_{x\to +\infty}\big[\frac{x}{x+1}\big]^x$
Usually, "at infinity" means "in the limit" since there is not really an infinity in $\mathbb{R}$. What is true is that $\left\lfloor\frac{x}{x+1}\right\rfloor=0$ for all $x>0$ so $\lim\limits_{x\to+\infty}\left\lfloor\frac{x}{x+1}\right\rfloor=0$ even though $\lim\limits_{x\to+\infty}\frac{x}{x+1}=1$.
Sep
10
comment Integral question: zeroes of the primitive.
@mick: I'm sure what you meant was "@RobertIsrael: thank you for your answer. Would you please provide some more details along these lines?" There is no way that someone answering your question knows how much you know, and given this, Robert's answer is quite reasonable. After politely explaining what you have tried, I'm sure that Robert would be inclined to expand his answer.
Sep
10
reviewed Approve suggested edit on Definite integral involving e and ln
Sep
10
revised what is the fourier series of $x(at)$ when $a = 0, a>0$ or $a<0$? How do I go about solving this?
fix answer
Sep
9
revised what is the fourier series of $x(at)$ when $a = 0, a>0$ or $a<0$? How do I go about solving this?
handle negative $a$
Sep
9
answered what is the fourier series of $x(at)$ when $a = 0, a>0$ or $a<0$? How do I go about solving this?
Sep
9
comment Accuracy from approximating $\zeta(2)$ with a partial sum
Yes, because the EMS formula terminates for polynomials. More generally, I showed in this answer that if the Fourier transform of a function is supported within $[-1,1]$, then the EMS formula converges for that function.
Sep
9
comment Prove that $x^2 + 5xy+7y^2 > 0$ for all $x,y \in\mathbb{R}$
Another approach differing from the usual "complete the square" approach.
Sep
9
comment Prove that $x^2 + 5xy+7y^2 > 0$ for all $x,y \in\mathbb{R}$
It's nice to see something different than the usual "complete the square" approach.
Sep
9
reviewed Approve suggested edit on Prove that $x^2 + 5xy+7y^2 > 0$ for all $x,y \in\mathbb{R}$
Sep
9
comment Accuracy from approximating $\zeta(2)$ with a partial sum
For the exponent $2$, I did this very thing in this answer.
Sep
9
comment Accuracy from approximating $\zeta(2)$ with a partial sum
@Henry: nice. Add that to your answer and undelete it :-)
Sep
9
comment Accuracy from approximating $\zeta(2)$ with a partial sum
I was going to use this method, but I was too slow. :-)
Sep
9
answered Accuracy from approximating $\zeta(2)$ with a partial sum