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)
“You are the majority—in number and intelligence; therefore you are the force—which is justice. Some are scholars, others are owners; a glorious day will come when the scholars will be owners and the owners scholars. Then your power will be complete, and no man will protest against it.”
—Charles Baudelaire (1821–1867)