limit point

limit point
noun Date: 1905 a point that is related to a set of points in such a way that every neighborhood of the point no matter how small contains another point belonging to the set — called also point of accumulation

New Collegiate Dictionary. 2001.

Look at other dictionaries:

  • Limit point — In mathematics, a limit point (or accumulation point) of a set S in a topological space X is a point x in X that can be approximated by points of S in the sense that every neighbourhood of x with respect to the topology on X also contains a point …   Wikipedia

  • limit point — ribinis taškas statusas T sritis fizika atitikmenys: angl. limit point; limiting point vok. Grenzpunkt, m rus. граничная точка, f; предельная точка, f pranc. point limite, m …   Fizikos terminų žodynas

  • limit point — noun the mathematical value toward which a function goes as the independent variable approaches infinity • Syn: ↑limit, ↑point of accumulation • Hypernyms: ↑indefinite quantity …   Useful english dictionary

  • limit point — noun a point which lies in the closure of A of a set A. Syn: accumulation point …   Wiktionary

  • limit point — Math. See accumulation point. [1900 05] * * * …   Universalium

  • Limit point compact — In mathematics, particularly topology, limit point compactness is a certain condition on a topological space which generalizes some features of compactness. In a metric space, limit point compactness, compactness, and sequential compactness are… …   Wikipedia

  • Limit of a function — x 1 0.841471 0.1 0.998334 0.01 0.999983 Although the function (sin x)/x is not defined at zero, as x becomes closer and closer to zero, (sin x)/x becomes arbitrarily close to 1. It is said that the limit of (sin x)/x as x approache …   Wikipedia

  • Limit superior and limit inferior — In mathematics, the limit inferior (also called infimum limit, liminf, inferior limit, lower limit, or inner limit) and limit superior (also called supremum limit, limsup, superior limit, upper limit, or outer limit) of a sequence can be thought… …   Wikipedia

  • Limit set — In mathematics, especially in the study of dynamical systems, 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 are important because they can …   Wikipedia

  • Limit ordinal — A limit ordinal is an ordinal number which is neither zero nor a successor ordinal. Various equivalent ways to express this are: *It cannot be reached via the ordinal successor operation S ; in precise terms, we say lambda; is a limit ordinal if… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”