KingOliver
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 Aug21 revised Proving that a bounded, continuous function has a supremum deleted 159 characters in body Aug21 comment Proving that a bounded, continuous function has a supremum Unfortunately, we have not used the fundamentals of open balls and coverings so that machinery is unavailable to me... Aug21 revised Proving that a bounded, continuous function has a supremum added 942 characters in body Aug21 comment Proving that a bounded, continuous function has a supremum We have not defined compactness, we are supposed to do these problems simply with continuity and Bolzano-Weierstrass Aug21 comment Proving that a bounded, continuous function has a supremum I am unsure what you mean by "carefully define your $c_n$." I know that I cannot simply say "let $c_n$ be such that $U - 1/n \le f(c_n) \le U$" but I am unsure how else to go about constructing such a $c_n$. Aug21 asked Proving that a bounded, continuous function has a supremum Aug20 answered Popular math books with depth Aug20 comment Popular math books with depth @Iyengar If you loved Fearless Symmetry, then you should read Symmetry and the Monster by Mark Ronan amazon.com/Symmetry-Monster-Greatest-Quests-Mathematics/dp/… Aug19 accepted Finding $F(x)$ so that $F'(x) = e^{-x^2}$ Aug19 comment Finding $F(x)$ so that $F'(x) = e^{-x^2}$ Good point @Micah Aug19 revised Finding $F(x)$ so that $F'(x) = e^{-x^2}$ added 158 characters in body Aug19 comment Finding $F(x)$ so that $F'(x) = e^{-x^2}$ I see. Examining the graph of $\exp(-x^2)$ I see that $f'(0)$ is indeed $0$ but did you surmise this a different way? Aug19 comment Finding $F(x)$ so that $F'(x) = e^{-x^2}$ Yes you are right. Thank you Aug19 asked Finding $F(x)$ so that $F'(x) = e^{-x^2}$ Aug19 revised If $\exp(itH) A \exp(-itH) = A$ for all $t$, do $A$ and $H$ commute? Finicky. Just put the title into LaTeX and put "for all t" into "for all $t$" Aug19 suggested approved edit on If $\exp(itH) A \exp(-itH) = A$ for all $t$, do $A$ and $H$ commute? Aug19 awarded Critic Aug19 accepted $|P(x)|$ differentiable at a root $x_0$ Aug19 accepted Proving a Riemann integral theorem Aug19 accepted Proving an Integral Theorem