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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