In mathematics, an expression is in closed form if it is formed with constants, variables and a finite set of basic functions connected by arithmetic operations...

Closed form may refer to: Closed-form expression, a finitary expression Closed differential form, a differential form α {\displaystyle \alpha } whose...

expression is one that is not rational, such as √x + 4. Algebraic equation Algebraic function Analytical expression Arithmetic expression Closed-form...

recurrence with constant coefficients, the Fibonacci numbers have a closed-form expression. It has become known as Binet's formula, named after French mathematician...

Algebraic expression Analytic expression Closed-form expression Combinator Computer algebra expression Defined and undefined Equation Expression (programming)...

trivially, by swapping 0s for 1s and shifting the positions by one. A closed form expression for the so-called rabbit sequence: The nth digit of the word is...

In elementary algebra, the quadratic formula is a closed-form expression describing the solutions of a quadratic equation. Other ways of solving quadratic...

on the closed form expression for this " J 3 {\displaystyle J_{3}\,} perturbation". With the "modern theory" this explicit closed form expression is not...

many cases these sequences have simple, closed form expressions or have a generating function with a simple form. The following rules are notable: The sequence...

may be determined without computing them exactly. Often when a closed-form expression for the solutions is not available, solutions may be approximated...