Asymptotic Notation
Let 
be a integer variable which tends to infinity and let 
be a continuous variable tending to some limit. Also, let 
or
be a positive function and 
or 
any function. Then Hardy and Wright (1979) define
- 1.
to mean that 
for some constant 
and all values of and , - 2.
to mean that 
, - 3.
to mean that 
, - 4.
to mean the same as , - 5.
to mean 
, and - 6.
to mean 
for some positive constants 
and 
.
implies and is stronger than .
References
Hardy, G. H. and Wright, E. M. ``Some Notation.'' §1.6 in An Introduction to the Theory of Numbers, 5th ed. Oxford, England: Clarendon Press, pp. 7-8, 1979.
- Affine Complex Plane
- Affine Connection
- Affine Equation
- Affine Geometry
- Affine Group
- Affine Hull
- Affine Plane
- Affine Scheme
- Affine Space
- Affine Transformation
- Affinity
- Affix
- Aggregate
- AGM
- Agnesi's Witch
- Agnésienne
- Agonic Lines
- Ahlfors-Bers Theorem
- A-Integrable
- Airy Differential Equation
- Airy-Fock Functions
- Airy Functions
- Airy Projection
- Aitken Interpolation
- Aitken's Delta Squared Process