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 Dec 30 revised Cardinality of the set of all real functions which have a countable set of discontinuities added 361 characters in body Dec 30 answered Cardinality of the set of all real functions which have a countable set of discontinuities Dec 30 revised Let $|x|\leq1, |y|\leq 1$. Show that$0 \leq x^{2}+y^{2} -2x^{2} y^{2}+2xy \sqrt{1-x^{2}} \sqrt{1-y^{2}} \leq 1$ deleted 2 characters in body Dec 30 answered Let $|x|\leq1, |y|\leq 1$. Show that$0 \leq x^{2}+y^{2} -2x^{2} y^{2}+2xy \sqrt{1-x^{2}} \sqrt{1-y^{2}} \leq 1$ Nov 28 accepted how prove GL(n,R) is not connected subset and open subset of$M_n (\mathbb{R})$with this distance Nov 28 awarded Popular Question Nov 12 revised prove continuity of additive function of integer group under topology $T=\{ \mathbb Z,\emptyset \} \cup\{[n,\infty), n \in \mathbb Z\}$ edited body Nov 12 revised prove continuity of additive function of integer group under topology $T=\{ \mathbb Z,\emptyset \} \cup\{[n,\infty), n \in \mathbb Z\}$ edited tags Nov 12 asked prove continuity of additive function of integer group under topology $T=\{ \mathbb Z,\emptyset \} \cup\{[n,\infty), n \in \mathbb Z\}$ Oct 29 asked Question about dense trajectory on $k$-dimensional torus under rotation map Oct 24 awarded Yearling Aug 27 awarded Nice Answer Aug 22 awarded Tumbleweed Jun 9 awarded Nice Question May 21 awarded Popular Question Apr 8 revised How to visualize permutations? added 101 characters in body Apr 7 answered How to visualize permutations? Apr 7 reviewed Approve If $f$ is a nondecreasing function on $[a,b]$.. Apr 7 comment Intuitive explanation for why the group $S_n$ has $n!$ elements what did you tried to prove it ? Mar 15 comment Reference request : Ergodic theory and Number theory I read Ergodic theory With Topological aspect,I looked at it but i didn't read it completely