Biquaternion
In abstract algebra, the biquaternions are the numbers w + x i + y j + z k, where w, x, y, and z are complex numbers, or variants thereof, and the elements of {1, i, j, k} multiply as in the quaternion group and commute with their coefficients. There are three types of biquaternions corresponding to complex numbers and the variations thereof:
* Biquaternions when the coefficients are complex numbers.
* Split-biquaternions when the coefficients are split-complex numbers.
* Dual quaternions when the coefficients are dual numbers.
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Alexander MacfarlaneArthur BuchheimArthur W. ConwayBioctonionBiquaternion algebraBiquaternionsBivector (complex)Clifford algebraComplex quaternionComplexificationComplexified quaternionComposition algebraConformal groupCorrado SegreDirect sum of modulesDual quaternionEduard StudyEight-dimensional spaceHistory of Lorentz transformationsHistory of mathematical notationHistory of quaternionsHomersham Cox (mathematician)HomographyHyperbolic quaternionHyperboloidHypercomplex numberImaginary unitIndex of physics articles (B)Joachim LambekList of Greek and Latin roots in English/QList of important publications in physicsList of mathematical topics in relativityLorentz groupLudwik SilbersteinMatrix ringMoore–Penrose inverseMotion (geometry)NilpotentNull vectorProjective line over a ring
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Biquaternion
In abstract algebra, the biquaternions are the numbers w + x i + y j + z k, where w, x, y, and z are complex numbers, or variants thereof, and the elements of {1, i, j, k} multiply as in the quaternion group and commute with their coefficients. There are three types of biquaternions corresponding to complex numbers and the variations thereof:
* Biquaternions when the coefficients are complex numbers.
* Split-biquaternions when the coefficients are split-complex numbers.
* Dual quaternions when the coefficients are dual numbers.
has abstract
Bikuaternion (atau kuaternion ...... etis variabelnya yang berbeda.
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Bikwaterniony – liczby postaci ...... zczególnej teorii względności.
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En mathématiques, un biquatern ...... 16 sur K, et non pas 8 sur R).
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In abstract algebra, the biqua ...... 1(R) of the spacetime algebra.
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Бикватернионы — комплексификация (расширение) обычных (вещественных) кватернионов.
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抽象代數中，複四元數（英語：Biquaternion）為一數 ...... k}等元素的乘積方式同四元群。其與相對論中的勞侖茲群有關。
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Bikuaternion (atau kuaternion ...... gan rangkap (dual quaternion).
@in
Bikwaterniony – liczby postaci ...... , w przypadku liczb dualnych.
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En mathématiques, un biquatern ...... lé : biquaternion de Clifford.
@fr
In abstract algebra, the biqua ...... coefficients are dual numbers.
@en
Бикватернионы — комплексификация (расширение) обычных (вещественных) кватернионов.
@ru
抽象代數中，複四元數（英語：Biquaternion）為一數 ...... k}等元素的乘積方式同四元群。其與相對論中的勞侖茲群有關。
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label
Bikuaternion
@in
Bikwaterniony
@pl
Biquaternion
@de
Biquaternion
@en
Biquaternion
@fr
Бикватернион
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複四元數
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