Quaternion
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In mathematics, the quaternions are a number system that extends the complex numbers.
Description
They were first described by Irish mathematician William Rowan Hamilton in 1843 and applied to mechanics in three-dimensional space.
A feature of quaternions is that multiplication of two quaternions is noncommutative.
Hamilton defined a quaternion as the quotient of two directed lines in a three-dimensional space or equivalently as the quotient of two vectors.
See also
- 3-sphere
- Associative algebra
- Biquaternion
- Clifford algebra
- Complex number
- Conversion between quaternions and Euler angles
- Division algebra
- Dual quaternion
- Euler angles
- Exterior algebra
- Geometric algebra
- Hurwitz quaternion
- Hurwitz quaternion order
- Hyperbolic quaternion
- Hypercomplex number
- Lénárt sphere
- Octonion
- Pauli matrices
- Quaternion group
- Quaternion variable
- Quaternionic matrix
- Quaternions and spatial rotation
- Rotation operator (vector space)
- Rotations in 4-dimensional Euclidean space
- Slerp
- Split-quaternion
- Tesseract
External links
- Quaternion @ Wikipedia.org
