What does closed ball mean?

closed ball

Word Rarity Uncommon

Frequency: Zipf frequency 4.66 in modern English

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noun

A ball which contains its boundary, i.e., a ball which is a closed set.

"In the set of 3-adic numbers, the closed ball of radius 1/3 "centered" at 1 is the set x|∃n∈ℤ.,x=3n+1. This closed ball partitions into exactly three smaller closed balls of radius 1/9, e.g., x|∃n∈ℤ.,x=4+9n. Then each of those balls partitions into exactly 3 smaller closed balls of radius 1/27, and the sub-partitioning can be continued indefinitely, in a fractal manner."

closed balls (plural)

How to pronounce closed ball

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