Power Tower
where
is Knuth's (1976) Arrow Notation.
The infinite power tower
converges Iff 
(
).See also Ackermann Function, Fermat Number, Mills' Constant
References
Knuth, D. E. ``Mathematics and Computer Science: Coping with Finiteness. Advances in our Ability to Compute are Bringing us Substantially Closer to Ultimate Limitations.'' Science 194 1235-1242, 1976. Vardi, I. Computational Recreations in Mathematica. Reading, MA: Addison-Wesley, pp. 11 and 226-229, 1991.
- Rényi's Parking Constants
- Rössler Model
- Saalschützian
- Saalschütz's Theorem
- s-Additive Sequence
- Saddle
- Saddle-Node Bifurcation
- Saddle Point (Fixed Point)
- Saddle Point (Function)
- Saddle Point (Game)
- Safarevich Conjecture
- Safe
- Sagitta
- Saint Andrew's Cross
- Saint Anthony's Cross
- Saint Petersburg Paradox
- Sal
- Salamin Formula
- Salem Constants
- Salesman Problem
- Salient Point
- Salinon
- Salmon's Theorem
- Saltus
- Sample Proportion