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)

    “The poetic act consists of suddenly seeing that an idea splits up into a number of equal motifs and of grouping them; they rhyme.”
    —Stéphane Mallarmé (1842–1898)