Split-complex Number - Synonyms

Synonyms

Different authors have used a great variety of names for the split-complex numbers. Some of these include:

  • (real) tessarines, James Cockle (1848)
  • (algebraic) motors, W.K. Clifford (1882)
  • hyperbolic complex numbers, J.C. Vignaux (1935)
  • bireal numbers, U. Bencivenga (1946)
  • approximate numbers, Warmus (1956), for use in interval analysis
  • countercomplex or hyperbolic numbers from Musean hypernumbers
  • double numbers, I.M. Yaglom (1968) and Hazewinkel (1990)
  • anormal-complex numbers, W. Benz (1973)
  • dual numbers, L. Kauffman (1985) and J. Hucks (1993)
  • perplex numbers, P. Fjelstad (1986) and Poodiack & LeClair (2009)
  • Lorentz numbers, F.R. Harvey (1990)
  • hyperbolic numbers, G. Sobczyk (1995)
  • split-complex numbers, B. Rosenfeld (1997)
  • duplex numbers, J. Kocik (1999)
  • spacetime numbers, N.A. Borota (2000)
  • twocomplex numbers, S. Olariu (2002)

Split-complex numbers and their higher-dimensional relatives (split-quaternions / coquaternions and split-octonions) were at times referred to as "Musean numbers", since they are a subset of the hypernumber program developed by Charles Musès.

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