Ceiling Function

The function which gives the smallest Integer , shown as the thick curve in the above plot.Schroeder (1991) calls the ceiling function symbols the ``Gallows'' because of the similarity in appearance to thestructure used for hangings. The name and symbol for the ceiling function were coined by K. E. Iverson (Graham et al. 1990).It can be implemented as ceil(x)=-int(-x), where int(x) is the Integer Partof .

References

Graham, R. L.; Knuth, D. E.; and Patashnik, O. ``Integer Functions.'' Ch. 3 in Concrete Mathematics: A Foundation for Computer Science. Reading, MA: Addison-Wesley, pp. 67-101, 1990.

Iverson, K. E. A Programming Language. New York: Wiley, p. 12, 1962.

Schroeder, M. Fractals, Chaos, Power Laws: Minutes from an Infinite Paradise. New York: W. H. Freeman, p. 57, 1991.

• Dixon's Theorem
• D-Number
• Dobinski's Formula
• Dodecadodecahedron
• Dodecagon
• Dodecagram
• Dodecahedral Conjecture
• Dodecahedral Graph
• Dodecahedral Space
• Dodecahedron
• Dodecahedron 2-Compound
• Dodecahedron-Icosahedron Compound
• Dodecahedron Stellations
• Domain
• Domain Invariance Theorem
• Dome
• Dominance
• Domino
• Domino Problem
• Donaldson Invariants
• Donkin's Theorem
• Donut
• Doob's Theorem
• Dot
• Dot Product