Sentence examples for accumulation point from inspiring English sources

The phrase "accumulation point" is correct and usable in written English.
It is typically used in mathematical contexts, particularly in topology and analysis, to refer to a point that can be approached by a sequence of points from a given set.
Example: "In the set of real numbers, the point 0 is an accumulation point of the sequence 1/n as n approaches infinity."
Alternatives: "limit point" or "cluster point".

Dictionary

accumulation point

noun

A point such that in each of its punctured neighborhoods there is a point of a given set or sequence.

synonyms

Exact(60)

Let be an accumulation point of.

The corresponding accumulation point for a risk seeker was 90%.

Since ({x^{k}}) is bounded, it has an accumulation point.

Since (x^) was taken as an arbitrary accumulation point of ({x^{k}}), it follows that x̄ is the unique accumulation point of this sequence.

Since x ∗ was taken as an arbitrary weak accumulation point of { x k } k = 0 ∞, it follows that x ¯ is the unique weak accumulation point of this sequence.

We may thus assume that it has no accumulation point in (Omega ).

Moreover, any accumulation point of { x k } is a solution of LCP ( q, M ).

If (alpha> 0), then it is not an accumulation point of ({alpha_{i}}).

In particular, if is an accumulation point of the sequence, then is a global minimizer of.

Since is an accumulation point of, some subsequence of converges to zero.

Then any accumulation point of ({x^{k}}) is a stationary point of F.  .

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