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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
Jan
1
awarded  Yearling
Sep
3
accepted $f,g$ continuous functions, $f$ strictly increasing, non-vanishing: $\int_a^bg(x)(f(x))^n\,dx=0$ for all $n$ $\Rightarrow g\equiv 0$