Encyclopedia of Operations Research and Management Science

2001 Edition
| Editors: Saul I. Gass, Carl M. Harris

Hyperplane

  • Saul I. Gass
  • Carl M. Harris
Reference work entry
DOI: https://doi.org/10.1007/1-4020-0611-X_432

A hyperplane in n-dimensional space is defined by the set of vectors Xv = (x1,..., xn) that satisfy a linear function of the form a1x1 + ... + anxn = bv for given numbers aj and b. This can be written as axv = b, av = (a1,..., an). For n = 2, the function defines a line, and for n = 3, the function defines a plane.

Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • Saul I. Gass
    • 1
  • Carl M. Harris
    • 2
  1. 1.Robert H. Smith School of BusinessUniversity of MarylandCollege PartUSA
  2. 2.School of Information Technology & EngineeringGeorge Mason UniversityFairfaxUSA