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- Hyperbolic_quaternion abstract "In abstract algebra, the algebra of hyperbolic quaternions is a nonassociative algebra over the real numbers with elements of the formwhere multiplication is determined with rules that are similar to (but different from) multiplication in the quaternions.The four-dimensional algebra of hyperbolic quaternions incorporates some of the features of the older and larger algebra of biquaternions. They both contain subalgebras isomorphic to the split-complex number plane. Furthermore, just as the quaternion algebra H can be viewed as a union of complex planes, so the hyperbolic quaternion algebra is a union of split-complex number planes sharing the same real line.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 (see Historical Review below).".
- Hyperbolic_quaternion wikiPageExternalLink eb_viewer.php?DMTHUMB=1&ptr=1088.
- Hyperbolic_quaternion wikiPageExternalLink principlesalgeb01macfgoog.
- Hyperbolic_quaternion wikiPageExternalLink 5koDjWVLq.
- Hyperbolic_quaternion wikiPageID "1071730".
- Hyperbolic_quaternion wikiPageRevisionID "577076441".
- Hyperbolic_quaternion hasPhotoCollection Hyperbolic_quaternion.
- Hyperbolic_quaternion subject Category:Minkowski_spacetime.
- Hyperbolic_quaternion subject Category:Non-associative_algebra.
- Hyperbolic_quaternion subject Category:Quaternions.
- Hyperbolic_quaternion type Abstraction100002137.
- Hyperbolic_quaternion type DefiniteQuantity113576101.
- Hyperbolic_quaternion type Digit113741022.
- Hyperbolic_quaternion type Four113744304.
- Hyperbolic_quaternion type Integer113728499.
- Hyperbolic_quaternion type Measure100033615.
- Hyperbolic_quaternion type Number113582013.
- Hyperbolic_quaternion type Quaternions.
- Hyperbolic_quaternion comment "In abstract algebra, the algebra of hyperbolic quaternions is a nonassociative algebra over the real numbers with elements of the formwhere multiplication is determined with rules that are similar to (but different from) multiplication in the quaternions.The four-dimensional algebra of hyperbolic quaternions incorporates some of the features of the older and larger algebra of biquaternions. They both contain subalgebras isomorphic to the split-complex number plane.".
- Hyperbolic_quaternion label "Hyperbolic quaternion".
- Hyperbolic_quaternion label "Quaternion hyperbolique".
- Hyperbolic_quaternion label "Quaterniões hiperbólicos".
- Hyperbolic_quaternion sameAs Quaternion_hyperbolique.
- Hyperbolic_quaternion sameAs Quaterniões_hiperbólicos.
- Hyperbolic_quaternion sameAs m.043gjs.
- Hyperbolic_quaternion sameAs Q3413403.
- Hyperbolic_quaternion sameAs Q3413403.
- Hyperbolic_quaternion sameAs Hyperbolic_quaternion.
- Hyperbolic_quaternion wasDerivedFrom Hyperbolic_quaternion?oldid=577076441.
- Hyperbolic_quaternion isPrimaryTopicOf Hyperbolic_quaternion.