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Split-complex number
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==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), G. Cree (1949)<ref>{{cite thesis |last=Cree |first=George C. |title=The Number Theory of a System of Hyperbolic Complex Numbers |type=MA thesis |publisher=McGill University |year=1949 |url=https://escholarship.mcgill.ca/concern/theses/1v53k125p}}</ref> * ''bireal numbers'', U. Bencivenga (1946) * ''real hyperbolic numbers'', N. Smith (1949)<ref>{{cite thesis |last=Smith |first=Norman E. |title=Introduction to Hyperbolic Number Theory |type=MA thesis |publisher=McGill University |year=1949 |url=https://escholarship.mcgill.ca/concern/theses/1544bs68g }}</ref> * ''approximate numbers'', Warmus (1956), for use in [[interval analysis]] * ''double numbers'', [[Isaak Yaglom|I.M. Yaglom]] (1968), Kantor and Solodovnikov (1989), [[Michiel Hazewinkel|Hazewinkel]] (1990), Rooney (2014) * ''hyperbolic numbers'', W. Miller & R. Boehning (1968),<ref>{{cite journal |last1=Miller |first1=William |last2=Boehning |first2=Rochelle |title=Gaussian, parabolic, and hyperbolic numbers |journal=The Mathematics Teacher |volume=61 |number=4 |year=1968 |pages=377β382 |doi=10.5951/MT.61.4.0377 |jstor=27957849 }}</ref> G. Sobczyk (1995) * ''anormal-complex numbers'', W. Benz (1973) * ''perplex numbers'', P. Fjelstad (1986) and Poodiack & LeClair (2009) * ''countercomplex'' or ''hyperbolic'', Carmody (1988) * ''Lorentz numbers'', F.R. Harvey (1990) * ''semi-complex numbers'', F. Antonuccio (1994) * ''paracomplex numbers'', Cruceanu, Fortuny & Gadea (1996) * ''split-complex numbers'', B. Rosenfeld (1997)<ref>Rosenfeld, B. (1997) ''Geometry of Lie Groups'', page 30, [[Kluwer Academic Publishers]] {{isbn|0-7923-4390-5}}</ref> * ''spacetime numbers'', N. Borota (2000) * ''Study numbers'', P. Lounesto (2001) * ''twocomplex numbers'', S. Olariu (2002) * ''split binarions'', K. McCrimmon (2004)
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