Zártforma

Zártforma is a Hungarian term that translates to "closed form" in English. It is primarily used in mathematics and computer science to describe a mathematical expression that can be evaluated in a finite number of standard operations. These operations typically include arithmetic operations (addition, subtraction, multiplication, division), exponentiation, roots, logarithms, and trigonometric functions.

In mathematics, a closed-form solution is a solution that can be expressed using a finite number of these functions and constants. This is in contrast to a solution that might be expressed as an infinite series, a limit, or requires a numerical approximation. For example, the quadratic formula provides a closed-form solution to quadratic equations, whereas solving some differential equations might require approximation methods.

In computer science, the concept of closed-form is relevant when analyzing the complexity of algorithms or the computability of problems. An algorithm that can compute a result using a finite number of steps without recursion or iteration can often be considered a closed-form solution. Similarly, in symbolic computation systems, the goal is often to find closed-form expressions for integrals or derivatives. The existence of a closed-form solution can significantly simplify computations and analysis. However, not all mathematical problems have a known closed-form solution.