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 Jan 1 awarded Yearling May 5 awarded Necromancer Mar 11 comment What are some difficult integrals done by substitution and elementary functions? I'd like to see the details of how your example is solved. Mar 9 asked Over a compact space, the set of continuous functions are everywhere dense in the set of all measurable functions Mar 2 awarded Popular Question Feb 28 answered Value of the Lebesgue integral of a function Jan 1 awarded Yearling Nov 28 awarded Nice Answer Nov 4 awarded Popular Question Oct 25 awarded Popular Question Jul 2 awarded Curious Mar 6 awarded Self-Learner Feb 8 answered Classsifying 1- and 2- dimensional Algebras, up to Isomorphism Jan 1 awarded Yearling Oct 28 comment The question about the word of “Mathematics”. I think there are actually 8! string which contain the sub-string "math". We count the number of permutation of the 8 objects {e,m,a,t,i,c,s,math}. Oct 4 asked Understanding Dini continuity for lifts of circle endomorhpisms May 17 accepted Quotient rings of Gaussian integers $\mathbb{Z}[i]/(2)$, $\mathbb{Z}[i]/(3)$, $\mathbb{Z}[i]/(5)$, May 17 comment Quotient rings of Gaussian integers $\mathbb{Z}[i]/(2)$, $\mathbb{Z}[i]/(3)$, $\mathbb{Z}[i]/(5)$, That's helpful, thanks. Since R/(2) has just 4 elements, if it were isomorphic to a product of fields, then it would necessarily be isomorphic to Z/(2)xZ/(2). But $i^2=1$ in R/(2), and every element of Z/(2)xZ/(2) when squared equals itself. So... From the unusual phrasing of the question, I suppose R/(5) is isomorphic to a product of fields. Is this right? Would that product be Z/(5)/Z/(5)? May 17 asked Quotient rings of Gaussian integers $\mathbb{Z}[i]/(2)$, $\mathbb{Z}[i]/(3)$, $\mathbb{Z}[i]/(5)$, May 16 awarded Caucus