accumulation point


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Related to accumulation point: Adherent point

accumulation point

[ə·kyü·myə′lā·shən ‚pȯint]
(mathematics)
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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Let [[tau].sup.*] = ([x.sup.*], [[lambda].sup.*]) be an accumulation point of the sequence {[x.sup.k], [[lambda].sup.k])} generated by Algorithm 3.
Thus, {[z.sup.k]} has at least one accumulation point [z.sup.*] = {[n.sub.*],[x.sup.*]).
By the regularity of I, we obtain that [x.sub.0]is a I-sequentially accumulation point of E.
Assume that A does not have any accumulation point in X, i.e., there exist r [member of] (0, 1) such that [B.sub.(M,N)](x, r, t) [intersection] A = [empty set] or [B.sub.(M,N)](x, r, t) [intersection] A = {x} for all x [member of] X and for all t > 0.
A common solution is to establish a satellite accumulation point and to use the lab pack approach to store wastes.
(ii) any accumulation point of {[x.sup.k]} is the stationary point of (2).
Each such accumulation point is the limit of a subsequence {[v.sub.kv]}, for which, by Lemma 3.4, the associated sequence {[[sigma].sub.kv+1]} converges, and we denote its limit by [sigma].
is obviously the centre about which all of the squares can be considered rotating and is hence the accumulation point of the spiral.
In Theorem 9, we prove that every accumulation point meets the first KT condition, by which the full sequence convergence is provided in Theorem 10.
Intuitively, one would expect this limit to be the first, lowest, accumulation point. This is of course not strictly true, because for [lambda] [not equal to] 0, the spectrum is everywhere discrete.
The council is listing all rain accumulation points in the governorate to minimise damage that can be caused by heavy downpours.