05/27/2008, 03:57 AM
Daniel Geisler referred me to this forum, and I'm surprised how active a forum is on a topic like tetration
I have a question about an operator that is similar to a tetration that I'm trying to locate. I'm a bit new to this topic so forgive the poor terminology.
An infinite tetriation with exponent (1/2) could be written as a recurrence relation, I believe:
F(n) = square_root( F(n-1) )
F(0) =.5
I'm trying to locate the mathematical operator that describes something very similar, but just multiplying a negative through each iteration (see example).
F(n) = square_root( -1 * F(n-1) )
Please let me know if you could help me out with this. I think this has some very interesting properties. Any guidance would be appreciated. Thanks.
-Ryan G.
I have a question about an operator that is similar to a tetration that I'm trying to locate. I'm a bit new to this topic so forgive the poor terminology.
An infinite tetriation with exponent (1/2) could be written as a recurrence relation, I believe:
F(n) = square_root( F(n-1) )
F(0) =.5
I'm trying to locate the mathematical operator that describes something very similar, but just multiplying a negative through each iteration (see example).
F(n) = square_root( -1 * F(n-1) )
Please let me know if you could help me out with this. I think this has some very interesting properties. Any guidance would be appreciated. Thanks.
-Ryan G.