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.
- Selmer Group
- Semialgebraic Number
- Semianalytic
- Semicircle
- Semicolon Derivative
- Semiconvergent Series
- Semicubical Parabola
- Semiderivative
- Semidirect Product
- Semiflow
- Semigroup
- Semi-Integral
- Semilatus Rectum
- Semimagic Square
- Semimajor Axis
- Semiminor Axis
- Semiperfect Magic Cube
- Semiperfect Number
- Semiperimeter
- Semiprime
- Semiprime Ring
- Semiregular Polyhedron
- Semiring
- Andrews-Curtis Link
- Andrews-Schur Identity