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Dec
30
revised Cardinality of the set of all real functions which have a countable set of discontinuities
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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$0 \leq x^{2}+y^{2} -2x^{2} y^{2}+2xy \sqrt{1-x^{2}} \sqrt{1-y^{2}} \leq 1$
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Dec
30
answered Let $|x|\leq1, |y|\leq 1$. Show that$0 \leq x^{2}+y^{2} -2x^{2} y^{2}+2xy \sqrt{1-x^{2}} \sqrt{1-y^{2}} \leq 1$
Dec
17
comment Prove the following saddle-node bifurcation theorem
Differential equations, dynamical systems and an introduction to chaos by Morris W. Hirsch, Stephen Smale, Robert L. Devaney
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 $T=\{ \mathbb Z,\emptyset \} \cup\{[n,\infty), n \in \mathbb Z\}$
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Nov
12
revised prove continuity of additive function of integer group under topology $T=\{ \mathbb Z,\emptyset \} \cup\{[n,\infty), n \in \mathbb Z\}$
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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
asked Question about history of Entropy
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 $[a,b]$..