Covering Number

In mathematics, the ε-covering number of a metric space (X, d), for some ε > 0, is the minimum number of balls of radius that are needed to cover X.

A related concept is the ε-packing number which is defined as the maximum number of disjoint balls of radius ε that fit into X.


Famous quotes containing the words covering and/or number:

    “Three forms I see on stretchers lying, brought out there untended
    lying,
    Over each the blanket spread, ample brownish woolen blanket,
    Gray and heavy blanket, folding, covering all.”
    —Walt Whitman (1819–1892)

    “A child’s self-image is more like a scrapbook than a single snapshot. As the child matures, the number and variety of images in that scrapbook may be far more important than any individual picture pasted inside it.”
    —Lawrence Kutner (20th century)