fixed point
11Fixed-point arithmetic — In computing, a fixed point number representation is a real data type for a number that has a fixed number of digits after (and sometimes also before) the radix point ( e.g. , after the decimal point . in English decimal notation). Fixed point… …
12Fixed point (mathematics) — Not to be confused with a stationary point where f (x) = 0. A function with three fixed points In mathematics, a fixed point (sometimes shortened to fixpoint, also known as an invariant point) of a function is a point[1] that is …
13Fixed point theorem — In mathematics, a fixed point theorem is a result saying that a function F will have at least one fixed point (a point x for which F ( x ) = x ), under some conditions on F that can be stated in general terms. Results of this kind are amongst the …
14Fixed point combinator — A fixed point combinator (or fixed point operator) is a higher order function that computes a fixed point of other functions. This operation is relevant in programming language theory because it allows the implementation of recursion in the form… …
15Fixed point iteration — In numerical analysis, fixed point iteration is a method of computing fixed points of iterated functions.More specifically, given a function f defined on the real numbers with real values and given a point x 0 in the domain of f, the fixed point… …
16Fixed point property — A mathematical object X has the fixed point property if every suitably well behaved mapping from X to itself has a fixed point. It is a special case of the fixed morphism property. The term is most commonly used to describe topological spaces on… …
17Fixed-point theorems in infinite-dimensional spaces — In mathematics, a number of fixed point theorems in infinite dimensional spaces generalise the Brouwer fixed point theorem. They have applications, for example, to the proof of existence theorems for partial differential equations. The first… …
18Fixed point theorems in infinite-dimensional spaces — In mathematics, a number of fixed point theorems in infinite dimensional spaces generalise the Brouwer fixed point theorem. They have applications, for example, to the proof of existence theorems for partial differential equations. The first… …
19Fixed point index — In mathematics, the fixed point index is a concept in topological fixed point theory, and in particular Nielsen theory. The fixed point index can be thought of as a multiplicity measurement for fixed points.The index can be easily defined in the… …
20fixed-point theorem — ▪ mathematics any of various theorems in mathematics dealing with a transformation of the points of a set into points of the same set where it can be proved that at least one point remains fixed. For example, if each real number is squared …
