What is another word for isolated point?

Pronunciation: [ˈa͡ɪsəlˌe͡ɪtɪd pˈɔ͡ɪnt] (IPA)

When discussing mathematical concepts such as topology and geometry, the term "isolated point" is frequently encountered. Such a point refers to an element within a set that enjoys a distinct characteristic, namely, it has no other nearby points within a certain defined distance. This condition implies that the isolated point stands alone, separate from any other points in the vicinity. Synonyms for "isolated point" include "discrete point", "solitary point", and "unaccompanied point". Each of these terms emphasizes the notion of individuality and seclusion that characterizes an isolated point. By employing these synonyms, mathematicians can further clarify the concept and enhance understanding among both students and researchers in the field.

What are the opposite words for isolated point?

An isolated point can be defined as a point that has no neighboring points in a given set. In contrast, an antonym for this term would be a clustered point or dense point. A clustered point is a point that has multiple neighboring points in a given set. It is also known as a limit point or accumulation point. Another antonym for isolated point is a connected point, which means that the point is part of a larger set and has neighboring points. Connected points can also be referred to as boundary points or frontier points. Therefore, isolated points are characterized by their lack of neighboring points, while clustered and connected points are characterized by their abundance of neighboring points.

What are the antonyms for Isolated point?

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