Fixed Point
A "Fixed Point" refers to a value that remains unchanged under a specific function or transformation. In mathematics, if you apply a function f to a point x and the result is the same point, then x is considered a fixed point. This concept is important in various fields, including calculus and computer science.
Fixed points are often used in iterative methods to find solutions to equations. For example, in numerical analysis, methods like Newton's method rely on finding fixed points to approximate roots of functions. Understanding fixed points helps in analyzing stability and convergence in mathematical models.