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- Fixed_point_(mathematics) abstract "Not to be confused with a stationary point where f'(x) = 0.Not to be confused with fixed-point arithmetic, a form of limited-precision arithmetic in computing.In mathematics, a fixed point (sometimes shortened to fixpoint, also known as an invariant point) of a function is an element of the function's domain that is mapped to itself by the function. A set of fixed points is sometimes called a fixed set. That is to say, c is a fixed point of the function f(x) if and only if f(c) = c. This means f(f(...f(c)...)) = fn(c) = c, an important terminating consideration when recursively computing f.For example, if f is defined on the real numbers bythen 2 is a fixed point of f, because f(2) = 2.Not all functions have fixed points: for example, if f is a function defined on the real numbers as f(x) = x + 1, then it has no fixed points, since x is never equal to x + 1 for any real number. In graphical terms, a fixed point means the point (x, f(x)) is on the line y = x, or in other words the graph of f has a point in common with that line.Points which come back to the same value after a finite number of iterations of the function are known as periodic points; a fixed point is a periodic point with period equal to one. In projective geometry, a fixed point of a collineation is called a double point.".
- Fixed_point_(mathematics) thumbnail Fixed_point_example.svg?width=300.
- Fixed_point_(mathematics) wikiPageExternalLink FixedPoint.html.
- Fixed_point_(mathematics) wikiPageExternalLink fixedpoint.pdf.
- Fixed_point_(mathematics) wikiPageID "449738".
- Fixed_point_(mathematics) wikiPageRevisionID "605704047".
- Fixed_point_(mathematics) hasPhotoCollection Fixed_point_(mathematics).
- Fixed_point_(mathematics) subject Category:Fixed_points_(mathematics).
- Fixed_point_(mathematics) subject Category:Game_theory.
- Fixed_point_(mathematics) comment "Not to be confused with a stationary point where f'(x) = 0.Not to be confused with fixed-point arithmetic, a form of limited-precision arithmetic in computing.In mathematics, a fixed point (sometimes shortened to fixpoint, also known as an invariant point) of a function is an element of the function's domain that is mapped to itself by the function. A set of fixed points is sometimes called a fixed set. That is to say, c is a fixed point of the function f(x) if and only if f(c) = c.".
- Fixed_point_(mathematics) label "Dekpunt".
- Fixed_point_(mathematics) label "Fixed point (mathematics)".
- Fixed_point_(mathematics) label "Fixpunkt (Mathematik)".
- Fixed_point_(mathematics) label "Point fixe".
- Fixed_point_(mathematics) label "Ponto fixo".
- Fixed_point_(mathematics) label "Punkt stały".
- Fixed_point_(mathematics) label "Punto fijo".
- Fixed_point_(mathematics) label "Punto fisso".
- Fixed_point_(mathematics) label "Неподвижная точка".
- Fixed_point_(mathematics) label "نقطة ثابتة (الرياضيات)".
- Fixed_point_(mathematics) label "不动点".
- Fixed_point_(mathematics) label "不動点".
- Fixed_point_(mathematics) sameAs Pevný_bod.
- Fixed_point_(mathematics) sameAs Fixpunkt_(Mathematik).
- Fixed_point_(mathematics) sameAs Punto_fijo.
- Fixed_point_(mathematics) sameAs Point_fixe.
- Fixed_point_(mathematics) sameAs Punto_fisso.
- Fixed_point_(mathematics) sameAs 不動点.
- Fixed_point_(mathematics) sameAs Dekpunt.
- Fixed_point_(mathematics) sameAs Punkt_stały.
- Fixed_point_(mathematics) sameAs Ponto_fixo.
- Fixed_point_(mathematics) sameAs m.029w36.
- Fixed_point_(mathematics) sameAs Q217608.
- Fixed_point_(mathematics) sameAs Q217608.
- Fixed_point_(mathematics) wasDerivedFrom Fixed_point_(mathematics)?oldid=605704047.
- Fixed_point_(mathematics) depiction Fixed_point_example.svg.
- Fixed_point_(mathematics) isPrimaryTopicOf Fixed_point_(mathematics).
