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