03/20/2008, 12:35 PM

So easy!

So iteration of a function is function repeatedly applied. I-times applied function is as strange as I times 2*2*2*...., but different. I- times applied multiplication is multiplication operation applied i times= 2^i. 2+2+2+ i times is either 2 times i or i times 2. Hmm.

There must be a wealth of possible outcomes.

i times applied tetration is giving- what? Imaginary height of power tower is also strange.

a[4]i = ?

(i^(1/i))[4]infinity = i so

a[4]i= a[4]((i^(1/i))[4] infinity)

I have no idea what are rules in those brackets. We can nest i's like this forever.

Thanks, Gottfried.

Ivars

So iteration of a function is function repeatedly applied. I-times applied function is as strange as I times 2*2*2*...., but different. I- times applied multiplication is multiplication operation applied i times= 2^i. 2+2+2+ i times is either 2 times i or i times 2. Hmm.

There must be a wealth of possible outcomes.

i times applied tetration is giving- what? Imaginary height of power tower is also strange.

a[4]i = ?

(i^(1/i))[4]infinity = i so

a[4]i= a[4]((i^(1/i))[4] infinity)

I have no idea what are rules in those brackets. We can nest i's like this forever.

Thanks, Gottfried.

Ivars