closed form solution
时间: 2023-10-09 08:12:39 浏览: 41
A closed form solution refers to a mathematical expression that can be evaluated in a finite number of operations. In other words, a closed form solution provides an explicit formula for computing the solution to a mathematical problem without the need for iterative or numerical methods.
For example, the quadratic formula is a closed form solution that provides the roots of a quadratic equation. Similarly, the formula for the sum of an arithmetic sequence is a closed form solution that allows us to calculate the sum directly, without the need for adding up each term in the sequence.
However, not all mathematical problems have closed form solutions. In some cases, numerical methods or approximation techniques may be necessary to obtain an answer.