separation of the first kind

separation of the first kind

[‚sep·ə¦rā·shən əvthə ′first ‚kīnd]

(mathematics)

A division of an ordered set into two classes in which each member of one class is greater than every member of the other, and there exists a separating element that belongs to one class or the other.

McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.