a limit set is the state a dynamical system reaches after an infinite amount of time has passed, by either going forward or backwards in time. Limit sets...

mathematics, the limit of a sequence of sets A 1 , A 2 , … {\displaystyle A_{1},A_{2},\ldots } (subsets of a common set X {\displaystyle X} ) is a set whose elements...

extreme limits is invariant. Limit inferior is also called infimum limit, limit infimum, liminf, inferior limit, lower limit, or inner limit; limit superior...

of a limit of a sequence is further generalized to the concept of a limit of a topological net, and is closely related to limit and direct limit in category...

In mathematics, a limit point, accumulation point, or cluster point of a set S {\displaystyle S} in a topological space X {\displaystyle X} is a point...

orbit, or cycle, is the image of a closed trajectory. A limit cycle is a cycle which is the limit set of some other trajectory. By the Jordan curve theorem...

be limit points on the real axis. Let Λ(Γ) be the limit set of Γ, that is, the set of limit points of Γz for z ∈ H. Then Λ(Γ) ⊆ R ∪ ∞. The limit set may...

universal lower bound on the Hausdorff dimension of limit sets of all non-classical Schottky groups. The limit set of a Schottky group, the complement of Ω(G)...

401155 or −0.1528 + 1.0397i), in the sense of converging to a limit set. The Mandelbrot set in general is quasi-self-similar, as small slightly different...

{\displaystyle {\bar {B}}^{3}} . The set of accumulation points of Γp in S ∞ 2 {\displaystyle S_{\infty }^{2}} is called the limit set of Γ, and usually denoted...

most two points z ∈ X , {\displaystyle \;z\in X\;,} the Julia set is the set of limit points of the full backwards orbit ⋃ n f − n ( z ) . {\displaystyle...

a limit set, but different points when perturbed slightly off the limit set may get knocked off and never return to the vicinity of the limit set. For...

speed limit. Advisory speed limits also exist, which are recommended but not mandatory speeds. Speed limits are commonly set by the legislative bodies of...

the set of all subsequential limits of some sequence is called the limit superior, or limsup. Similarly, the infimum of such a set is called the limit inferior...

In mathematics, the inverse limit (also called the projective limit) is a construction that allows one to "glue together" several related objects, the...

States. States may also set separate speed limits for trucks and night travel along with minimum speed limits. The highest speed limit in the country is 85 mph...

A disk quota is a limit set by a system administrator that restricts certain aspects of file system usage on modern operating systems. The function of...

limits on road traffic, as used in most countries, set the legal maximum speed at which vehicles may travel on a given stretch of road. Speed limits are...

Flammability limits or explosive limits are the ranges of fuel concentrations in relation to oxygen from the air. Combustion can range in violence from...

quasi-Fuchsian group is a Kleinian group whose limit set is contained in an invariant Jordan curve. If the limit set is equal to the Jordan curve the quasi-Fuchsian...

This page is a list of the episodes of The Outer Limits, a 1995 science fiction/dark fantasy television series. The series was broadcast on Showtime from...

In probability theory, the central limit theorem (CLT) states that, under appropriate conditions, the distribution of a normalized version of the sample...

closed set is a set whose complement is an open set. In a topological space, a closed set can be defined as a set which contains all its limit points...

abstract notion of a limit captures the essential properties of universal constructions such as products, pullbacks and inverse limits. The dual notion of...

the concept of a wandering set formalizes a certain idea of movement and mixing. When a dynamical system has a wandering set of non-zero measure, then...

In set theory, a limit ordinal is an ordinal number that is neither zero nor a successor ordinal. Alternatively, an ordinal λ is a limit ordinal if there...

smaller objects. The direct limit of the objects A i {\displaystyle A_{i}} , where i {\displaystyle i} ranges over some directed set I {\displaystyle I} , is...

f is called an Anosov diffeomorphism. The dynamics of f on a hyperbolic set, or hyperbolic dynamics, exhibits features of local structural stability...

alternatively to the right and to the left: The Heighway dragon is also the limit set of the following iterated function system in the complex plane: f 1 (...

limits are set by each state or territory. States have also allowed counties and municipalities to enact typically lower limits. Highway speed limits...