Stumbleine75
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 Jul 13 accepted Question from book 'Indra's Pearls' about limit set arising from infinite words (compositions of maps) Jul 12 asked Question from book 'Indra's Pearls' about limit set arising from infinite words (compositions of maps) Jan 7 accepted Proving a function is chaotic on an interval Jan 6 comment Proving a function is chaotic on an interval I hope I'm interpreting your answer correctly. So you utilize a representation scheme for numbers in $[0, 1]$ to create a mapping between each $x$ in $[0, 1]$ and a sequence $s$. From this you deduce that the $n$th number in the sequence for the $k$th iteration of seed $x$ is $k$th number in the sequence of $x$ itself times the $n + k$th number of $x$'s sequence. Why is that deduction true? Jan 6 revised Proving a function is chaotic on an interval added 3 characters in body Jan 6 asked Proving a function is chaotic on an interval Dec 11 awarded Popular Question Sep 24 awarded Autobiographer Sep 19 accepted Solving $\log(x) = vx^α$ for $x$ via Lambert W function Sep 19 awarded Commentator Sep 19 comment Solving $\log(x) = vx^α$ for $x$ via Lambert W function Yeah I see it now, and feel bad for missing it. $y$ as you defined it completes the identity and then it is trivial to manipulate it into the answer you gave. Now, can I ask how you knew to define y the way you did? Sep 19 comment Solving $\log(x) = vx^α$ for $x$ via Lambert W function How do you get to $ye^y = -v\alpha$? Does it have to do with $W(z)e^{W(z)} = z$? Sep 19 revised Solving $\log(x) = vx^α$ for $x$ via Lambert W function edited title Sep 19 asked Solving $\log(x) = vx^α$ for $x$ via Lambert W function Aug 15 awarded Scholar Aug 15 accepted The operation $\langle a, b\rangle = \{\{∅, a\}, \{\{∅\}, b\}\}$ creates distinct sets from distinct pairs $(a,b)$ Aug 14 revised The operation $\langle a, b\rangle = \{\{∅, a\}, \{\{∅\}, b\}\}$ creates distinct sets from distinct pairs $(a,b)$ clarification Aug 14 awarded Supporter Aug 14 asked The operation $\langle a, b\rangle = \{\{∅, a\}, \{\{∅\}, b\}\}$ creates distinct sets from distinct pairs $(a,b)$ Mar 13 revised Help understanding this 'Fractal' I've just made? added 3 characters in body