| 1. | Unlike the ordinary quaternions, the hyperbolic quaternions are not associative.
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| 2. | Unlike the ordinary quaternions, the hyperbolic quaternions are not associative.
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| 3. | Constructed using pairs of quaternions or octonions instead of complex numbers.
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| 4. | Where the q _ i are quaternions, not all zero.
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| 5. | Quaternions also capture the spinorial character of rotations in three dimensions.
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| 6. | William Rowan Hamilton invented quaternions, a mathematical entity in 1843.
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| 7. | This article describes the original invention and subsequent development of quaternions.
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| 8. | This quantity is nowadays called the norm of the quaternion ".
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| 9. | Another way of looking at this group is with quaternion multiplication.
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| 10. | Hamilton introduced both real quaternions and complex quaternions, called biquaternions.
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