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Meaning of epsilon-neighborhood

ep•si•lon-neigh•bor•hood

Pronunciation: (ep'su-lon"nā"bur-hood", -lun- or, esp. Brit., ep-sī'lun-), [key]
— n. Math.
  1. the set of all points whose distance from a given point is less than some specified number epsilon.
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.