Closed-form expression

In mathematics, a closed-form expression is a mathematical expression that can be evaluated in a finite number of operations.

Description

It may contain constants, variables, certain "well-known" operations (e.g., + − × ÷), and functions (e.g., nth root, exponent, logarithm, trigonometric functions, and inverse hyperbolic functions), but usually no limit.

The set of operations and functions admitted in a closed-form expression may vary with author and context.

Problems are said to be tractable if they can be solved in terms of a closed-form expression.

See also

• Algebraic solution
• Computer simulation
• Elementary function
• Finitary operation
• Liouvillian function
• Numerical solution
• Symbolic regression
• Term (logic)

External links

• Closed-form expression @ Wikipedia