Limit points definition of Limit points in the Free Online Encyclopedia.

limit point [′lim·ət ‚pȯint]

(mathematics)

Limit Point

(or accumulation point). A limit point of a set A in a metric space is a point ξ in a space such that arbitrarily close to ξ there are points in A distinct from ξ. In other words, ξ is a limit point if any neighborhood of ξ contains an infinite number of points in A. A characteristic property of ξ is the existence of at least one sequence of distinct points of A that converges to ξ.

A limit point of a set does not have to belong to the set. Thus, every point on the real axis is a limit point for the set of rational points, because for every number—rational or irrational—we can find a sequence of distinct rational numbers that converges to it. Not every infinite set has a limit point; the set of integers, for example, lacks such a point. Every infinite bounded set of a Euclidean space, however, has at least one limit point.

REFERENCE

Aleksandrov, P. S. Vvedenie v obshchuiu teoriiu mnozhestv i funktsil Moscow-Leningrad, 1948.

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No references found	limey Limfjørd Limfjorden Limicolae limicolous liminal contrast liminal length Liming Limit limit check limit control Limit Cycle limit design limit dimensioning method limit governor limit inferior limit lines limit of detection limit of fire limit of proportionality limit of resolution limit of the atmosphere limit on the left limit on the right Limit Point Limit points limit priority limit ratio Limit State limit stop limit superior Limit Switch Limit Theorems limit velocity limit-load design Limitation limitations, statute limited limited chromosome limited combustible material limited integrator limited liability Limited Partnership limited proportionality region limited signal limited space-charge accumulation mode limited traverse limited-access data limited-access highway limited-degree-of-freedom robot limited-distance modem	limit of resolution limit of resolution Limit of Responsibility Limit of Sensitivity limit of stability limit of the atmosphere Limit of viability Limit Omaha 8-or-better limit on close Limit on close order Limit on Close Orders Limit On Open Order Limit On Open Orders limit on the left limit on the right Limit order Limit order book Limit order book Limit Order Books limit order display rule Limit Order Display Rules Limit order information system Limit Order Reconciliation Limit Orders limit point limit point Limit point of a set Limit point of a set Limit points Limit price Limit Prices Limit Pricing limit priority limit ratio Limit Rules Limit Rules limit setting limit setting limit setting limit setting Limit state Limit state design Limit states design limit stop Limit Strains for Severe Accident Conditions Limit superior Limit superior and limit inferior Limit superior and limit inferior Limit superior and limit inferior Limit switch Limit switch Limit switch Limit switch Limit switch Limit switch limit switches Limit theorem Limit theorems limit to

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limit of resolution
Limit of Responsibility
Limit of Sensitivity
limit of stability
limit of the atmosphere
Limit of viability
Limit Omaha 8-or-better
limit on close
Limit on close order
Limit on Close Orders
Limit On Open Order
Limit On Open Orders
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Limit order book
Limit order book
Limit Order Books
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Limit Order Display Rules
Limit order information system
Limit Order Reconciliation
Limit Orders
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Limit point of a set
Limit point of a set

Limit points

Limit price
Limit Prices
Limit Pricing
limit priority
limit ratio
Limit Rules
Limit Rules
limit setting
limit setting
limit setting
limit setting
Limit state
Limit state design
Limit states design
limit stop
Limit Strains for Severe Accident Conditions
Limit superior
Limit superior and limit inferior
Limit superior and limit inferior
Limit superior and limit inferior
Limit switch
Limit switch
Limit switch
Limit switch
Limit switch
Limit switch
limit switches
Limit theorem
Limit theorems
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Limit Point (redirected from Limit points)

REFERENCE

Limit Point
(redirected from Limit points)