Synonym: Analytic expression = Explicit expression
A mathematical expression expressed using a finite number of basic arithmetic operations over the numbers, elementary functions or tabulated special functions and may include infinite series and continued fractions.
The key difference with closed-form expression is that analytic expression may include tabulated special functions, infinite series and continued fractions.
The key benefit of dealing with closed-form expressions is that they are:
- well tabulated with precision enough for the majority of engineering applications
- implemented as fast-computable algorithms with computer precisions (usually 64 bit and 128 bit) on modern computers
- available as fast-computing algorithms with arbitrary user-defined precision
See also
Formal science / Mathematics / Calculus
[ Quadrature ][ Implicit expression ][ Analytic expression ][ Closed-form expression ]