
Glossary: Prime Pages: Top 5000: 
Suppose f(x) and g(x) are real valued
functions defined for all x greater than some fixed positive real x_{0}.
We write
f(x) = O(g(x)) (and we say "f(x) is bigO of g(x)"),if there is some constant C such that f(x) < C^{.}g(x)That is, f(x) is O(g(x)) if f is bounded by a constant times g. For example, 53x^{2}+23x+500 = O(x^{2}), sin(x) = O(1), and any polynomial in x of degree at most n is O(x^{n}). This bigO notation was introduced by P. Brachmann in 1894.
See Also: LittleOh, SameOrderofMagnitude, AsymptoticallyEqual References:littleo, same order of magnitude, asymptotically equal
Chris K. Caldwell © 19992016 (all rights reserved)
