Complete Functions
A set of Orthonormal Functions 
is termed complete in the Closed Interval 
if, forevery piecewise Continuous Function 
in the interval, the minimum square error
(where
denotes the Norm) converges to zero as 
becomes infinite. Symbolically, a set of functions iscomplete if
where
is a Weighting Function and the above is a Lebesgue Integral.See also Bessel's Inequality, Hilbert Space
References
Arfken, G. ``Completeness of Eigenfunctions.'' §9.4 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 523-538, 1985.
- Cell
- Cellular Automaton
- Cellular Space
- Center
- Centered Cube Number
- Centered Hexagonal Number
- Centered Pentagonal Number
- Centered Polygonal Number
- Centered Square Number
- Centered Triangular Number
- Center Function
- Center (Group)
- Center of Gravity
- Center of Mass
- Centillion
- Central Angle
- Central Beta Function
- Central Binomial Coefficient
- Central Conic
- Central Difference
- Centralizer
- Central Limit Theorem
- Central Trinomial Coefficient
- Centrode
- Centroid (Function)