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#REDIRECT[[fixed point (mathematics)#Attracting fixed points]]{{R with possibilities}} ...

{{Short description|Space where all functions have fixed points}} ...unction]] <math>f:X\rightarrow X</math> has a [[fixed point (mathematics)|fixed point]], a point <math>x</math> for which <math>f(x)=x</math>.{{r|gd}} ...

...a '''coincidence point''' (or simply '''coincidence''') of two [[function (mathematics)|functions]] is a point in their common [[domain of a function|domain]] hav | series = Springer Monographs in Mathematics ...

...m''', proved by [[Maurício Peixoto]], states that among all smooth [[flow (mathematics)|flows]] on [[Surface (topology)|surface]]s, i.e. [[Compact space|compact]] ...set of [[non-wandering point]]s consists only of periodic orbits and fixed points. ...

...of as a [[Multiplicity (mathematics)|multiplicity]] measurement for fixed points. ...holomorphic, and has an isolated zero at ''z''₀. We define the fixed-point index of ''f'' at ''z''₀, denoted ''i''(''f'', ''z''<sub>0 ...

{{Short description|RG fixed point giving a free theory}} ...viality|trivially]] solvable in fact). Slight deviations from the Gaussian fixed point can be described by perturbation theory. ...

...group. For any [[isometry group]] in [[Euclidean space]] the set of fixed points is either empty or an [[affine space]]. ...enerally, any point with unique properties with respect to the object is a fixed point of its [[symmetry group]]. ...

In [[mathematics]], an '''affine combination''' of {{math|''x''₁, ..., ''x''<sub ...s ([[vector (mathematics)|vectors]]) of a [[vector space]] over a [[field (mathematics)|field]] {{math|''K''}}, and the coefficients <math>\alpha_{i}</math> are e ...

In [[mathematics]], the '''Artin&ndash;Mazur [[zeta function]]''', named after [[Michael Art .../math>, and <math>|\operatorname{Fix} (f^n)|</math> is the number of fixed points (i.e. the [[cardinality]] of that set). ...

...is a branch of mathematical research with its origins in [[topological]] [[fixed-point theory]]. Its central ideas were developed by Danish mathematician [[ ...ory developed in the study of the so-called ''minimal number'' of a [[map (mathematics)|map]] ''f'' from a [[compact (topology)|compact]] space to itself, denoted ...

In [[bifurcation theory]], a field within [[mathematics]], a '''transcritical bifurcation''' is a particular kind of [[local bifurc .... However, their stability is exchanged when they collide. So the unstable fixed point becomes stable and vice versa. ...

...ed point'' of a set of maps is a point that is [[Fixed point (mathematics)|fixed]] by each map in the set.) ...al spirit.<ref>{{cite journal|first=C.|last=Ryll-Nardzewski|title=On fixed points of semi-groups of endomorphisms of linear spaces|journal=Proc. 5th Berkeley ...

...tion]]s and [[dynamical system]]s, a '''periodic point''' of a [[function (mathematics)|function]] is a point which the system returns to after a certain number o Given a [[mapping (mathematics)|mapping]] {{mvar|f}} from a [[set (mathematics)|set]] {{mvar|X}} into itself, ...

...he points of a [[spline (mathematics)|spline]] or other point set around a fixed axis. The lathing may be partial; the amount of rotation is not necessarily ...ed by rotating a curve defined by a set of points instead of a [[Function (mathematics)|function]]. Note that this means that lathes can be constructed by rotatin ...

...maps and stability analysis|Poincaré maps]] of linear [[Autonomous system (mathematics)|autonomous system ...Accessed 10 October 2019.</ref> Some sink, source or node are equilibrium points.]] ...

In [[mathematics]], a '''dilation''' is a [[function (mathematics)|function]] <math>f</math> from a [[metric space]] <math>M</math> into itse for all points <math>x, y \in M</math>, where <math>d(x, y)</math> is the distance from <m ...

...''' is a tool used in topological periodic and [[fixed point (mathematics)|fixed point]] theory, and [[dynamical systems]]. Given a [[continuous map]] <math ...hich gives [[geometry|geometric]] information about the fixed and periodic points of ''f''. ...

...any [[normal function]] has arbitrarily large [[fixed point (mathematics)|fixed point]]s (Levy 1979: p.&nbsp;117). It was first proved by [[Oswald Veblen]] A '''fixed point''' of a normal function is an ordinal <math>\beta</math> such that <m ...

* [[Little Five Points]], a district of Atlanta, Georgia, USA ==In mathematics, science, technology== ...

...he red line crosses the black line segment is equidistant from the two end points of the black line segment.]] |title=The concise Oxford dictionary of mathematics ...