Nathan
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 Dec18 awarded Caucus Oct31 comment Probability (X >Y) when X and Y have the same distribution? "Let Y be the next day after X" - i.e. Y = X + 1 (mod 7). The only way that X + 1 > Y is if X = 7. Basically, you're reasoning isn't wrong, it's just that you misread the question. I do this all the time. Sep25 awarded Commentator Aug1 comment Confused by definition of an open set in “All the Mathematics You Missed” That's what I thought, but I am not nearly confident enough of a reader to say "that's wrong". Thanks. Aug1 asked Confused by definition of an open set in “All the Mathematics You Missed” Apr16 awarded Critic Mar26 awarded Popular Question Jan9 accepted Average proportion for proportions with different denominators Jan9 accepted Limit of $1/x^2$ - Apostol 3.2, Example 4 Oct29 awarded Tumbleweed Oct22 asked Average proportion for proportions with different denominators Apr23 awarded Scholar Apr23 accepted Proof that $\int_1^x \frac{1}{t} dt$ is $\ln(x)$ Feb15 comment Proof that $\int_1^x \frac{1}{t} dt$ is $\ln(x)$ @BrianM.Scott Yeah, sorry. I looked through and I couldn't find it, but once gingerjin gave a proof I recognized it. I was too impatient, is all. Thanks anyways! Feb15 comment Proof that $\int_1^x \frac{1}{t} dt$ is $\ln(x)$ Thank you. This is a really clear explanation! Feb15 comment Proof that $\int_1^x \frac{1}{t} dt$ is $\ln(x)$ @JonasMeyer I'll see if I can find something about $e^u$. Maybe that will help me understand this. Feb15 comment Proof that $\int_1^x \frac{1}{t} dt$ is $\ln(x)$ @HenningMakholm Apostol's "One Variable Calculus". If there is a proof, I'm missing it. Feb15 revised Proof that $\int_1^x \frac{1}{t} dt$ is $\ln(x)$ edited body Feb15 asked Proof that $\int_1^x \frac{1}{t} dt$ is $\ln(x)$ Nov29 comment Limit of $1/x^2$ - Apostol 3.2, Example 4 Oh! I think I get it. Any neighborhood N(0) will contain points such that 0 A+2. You can't get around that, no matter what δ you choose. What makes me sure that I get it is that now I don't understand why I didn't see that in the first place.