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About: Hyperbolic quaternion     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:WikicatQuaternions, within Data Space : dbpedia.org associated with source document(s)

Type: yago:Abstraction100002137yago:Amount105107765yago:Attribute100024264yago:DefiniteQuantity113576101yago:Digit113741022yago:Four113744304yago:Integer113728499yago:Magnitude105090441yago:Measure100033615yago:Number105121418yago:Number113582013yago:Property104916342yago:WikicatHypercomplexNumbersyago:WikicatQuaternions New Facet based on Instances of this Class

In abstract algebra, the algebra of hyperbolic quaternions is a nonassociative algebra over the real numbers with elements of the form where the squares of i, j, and k are +1 and distinct elements of {i, j, k} multiply with the anti-commutative property. It was Alexander Macfarlane who promoted this concept in the 1890s as his Algebra of Physics, first through the American Association for the Advancement of Science in 1891, then through his 1894 book of five Papers in Space Analysis, and in a series of lectures at Lehigh University in 1900.