Arrow Notation
A Notation invented by Knuth (1976) to represent Large Numbers in whichevaluation proceeds from the right (Conway and Guy 1996, p. 60).
 |  |
 |  |
 |  |
For example,
 |  |  | (1) |
 | |  | |
 | |  | (2) |
 | |  | |
|  | (3) | |
 | |  | (4) |
 | |  | |
|  | (5) |
is sometimes called a Power Tower. The values 
arecalled Ackermann Numbers.See also Ackermann Number, Chained Arrow Notation, Down Arrow Notation, Large Number, Power Tower, Steinhaus-Moser Notation
References
Conway, J. H. and Guy, R. K. The Book of Numbers. New York: Springer-Verlag, pp. 59-62, 1996. Guy, R. K. and Selfridge, J. L. ``The Nesting and Roosting Habits of the Laddered Parenthesis.'' Amer. Math. Monthly 80, 868-876, 1973. 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. Redwood City, CA: Addison-Wesley, pp. 11 and 226-229, 1991.
- Spherical Spiral
- Spherical Symmetry
- Spherical Tessellation
- Spherical Triangle
- Spherical Trigonometry
- Spherical Vector Harmonic
- Spheroid
- Spheroidal Harmonic
- Spheroidal Wavefunction
- Sphinx
- Spider and Fly Problem
- Spider Lines
- Spiegeldrieck
- Spieker Center
- Spieker Circle
- Spigot Algorithm
- Spijker's Lemma
- Spindle Cyclide
- Spindle Torus
- Spinode
- Spinor
- Spiral
- Spiral Point
- Spira Mirabilis
- Spiric Section