08/31/2011, 09:54 PM

similar to continued fractions and nested radicals , i was thinking once again about " nested logs "

a0 + b0 ln( a1 + b1 ln( a2 + b2 ln( ...

which seems like the natural tetrational analogue to continued fractions and nested radicals.

however i was unable to produce anything nontrivial of value or beauty with this idea ...

maybe we can express functions with this ?

ofcourse both a_n and b_n being both constant is not intresting...

how about a_n = 2^^n , b_n = constant ?

i would not be amazed if i was not the first person with this idea , so is there hope ??

tommy1729

a0 + b0 ln( a1 + b1 ln( a2 + b2 ln( ...

which seems like the natural tetrational analogue to continued fractions and nested radicals.

however i was unable to produce anything nontrivial of value or beauty with this idea ...

maybe we can express functions with this ?

ofcourse both a_n and b_n being both constant is not intresting...

how about a_n = 2^^n , b_n = constant ?

i would not be amazed if i was not the first person with this idea , so is there hope ??

tommy1729