# Emracool

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bio website plus.google.com location San Diego, CA age 17 member for 11 months seen Mar 4 at 0:52 profile views 51

"Truly! Twas Gimoneus the wise, grand sorcerer of Elantorfan, keeper of the ancient rune of Turgochit, came nearest to slaying the mighty dragon of Ralmorgantorg; for he was old and sinewy, and the wretched beast near choked to death on his femur." Bulwer-Lytton Fantasy runner-up

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 Nov15 comment Evaluating the Average value of f(x) @Sam Substitute $12$ for $x$ in $\ln|x|$. Nov15 comment Evaluating the Average value of f(x) @Sam Please review the fundamentals of integration; $12$ comes from the integral's limits, substituted into the integrand $\ln|x|$. Nov15 answered Evaluating the Average value of f(x) Nov15 comment Evaluating the Average value of f(x) Mind adding that to your question? Also, your values for $a$ and $b$ conflict with the solution given. Nov15 comment Evaluating the Average value of f(x) This is not a complete problem. $f(x)$ must be defined as something, likely $\frac{1}{x}$. Additionally, $a$ and $b$ must have values for this to come out to an answer. I can assume they are $10$ and $\frac{1}{10}$, though. Oct27 comment Average arc length between two random points on a unit sphere? @steve That is a very good idea, thanks! I'll take a look at that. Oct27 comment Average arc length between two random points on a unit sphere? @steve No, since the probability (afaik) should be different if both points may be moved. Correct me if I'm wrong, though; this is an assumption I'm making. Oct27 comment Average arc length between two random points on a unit sphere? @Lord Ah, yeah, you're right. My mistake. Oct27 revised Average arc length between two random points on a unit sphere? deleted 32 characters in body Oct27 asked Average arc length between two random points on a unit sphere? Aug5 awarded Talkative Jul12 accepted Prove that $C\left(\bigcup_{\alpha\in I} A_\alpha\right)=\bigcap_{\alpha\in I}C\left(A_\alpha\right)$ Jul12 comment Prove that $C\left(\bigcup_{\alpha\in I} A_\alpha\right)=\bigcap_{\alpha\in I}C\left(A_\alpha\right)$ @Michael Thanks, hm. That's weird, since this book uses $\cap$ and not $\bigcap$, but that could just be for text size. Jul12 comment Prove that $C\left(\bigcup_{\alpha\in I} A_\alpha\right)=\bigcap_{\alpha\in I}C\left(A_\alpha\right)$ @egreg There could be terns in $A_\alpha$ which are not in $\cap_{\alpha\in I}A_\alpha$. $x$ could still be in $A_\alpha$ even if $x\notin\cap_{\alpha\in I}A_\alpha$. Jul12 comment Prove that $C\left(\bigcup_{\alpha\in I} A_\alpha\right)=\bigcap_{\alpha\in I}C\left(A_\alpha\right)$ @egreg What about the terms in $A_\alpha$ which are not in $\cap_{\alpha\in I}A_\alpha$? $x$ could be among those. Jul12 asked Prove that $C\left(\bigcup_{\alpha\in I} A_\alpha\right)=\bigcap_{\alpha\in I}C\left(A_\alpha\right)$ Jul10 comment What happens when a probability actually occurs? This answer would be unreasonably long, as it would have to cover both the philosophical arguments of probability as well as the quantum ones. Even either of those two would be too broad - is there a way for you to narrow the scope of this question a bit? Jun23 comment Error in Fibonacci recurrence proof by induction? Grag! Stupid errors. Thank you! Jun23 accepted Error in Fibonacci recurrence proof by induction? Jun23 revised Error in Fibonacci recurrence proof by induction? Corrected minor error, fixed hasty typing