- Quaternion - Wikipedia
In mathematics, the quaternion number system extends the complex numbers Quaternions were first described by the Irish mathematician William Rowan Hamilton in 1843 [1][2] and applied to mechanics in three-dimensional space
- Quaternion -- from Wolfram MathWorld
The quaternions are members of a noncommutative division algebra first invented by William Rowan Hamilton
- Quaternions: What Are They, and Do We Really Need Them?
A quaternion contains four components and it is expressed in the form: a+bi+cj+dk, where a, b, c, and d are real numbers, while i, j, and k are unconventional imaginary units (or the quaternion units)
- Introducing The Quaternions - Department of Mathematics
Take any unit imaginary quaternion, u = u1i + u2j + u3k That is, any unit vector
- 1. 2: Quaternions - Mathematics LibreTexts
The quaternions, discovered by William Rowan Hamilton in 1843, were invented to capture the algebra of rotations of 3-dimensional real space, extending the way that the complex numbers capture the algebra of rotations of 2-dimensional real space
- MATH431: Quaternions - UMD
In H a rotation has an axis (of rotation) and each axis can be represented by a vector so it turns out that each unit pure quaternion corresponds to an axis of rotation
- Quaternion | Rotations, Hypercomplex Numbers, Algebra | Britannica
Quaternion, in algebra, a generalization of two-dimensional complex numbers to three dimensions Quaternions and rules for operations on them were invented by Irish mathematician Sir William Rowan Hamilton in 1843 He devised them as a way of describing three-dimensional problems in mechanics
- Quaternion - Encyclopedia of Mathematics
Quaternions were historically the first example of a hypercomplex system, arising from attempts to find a generalization of complex numbers Complex numbers are depicted geometrically by points in the plane and operations on them correspond to the simplest geometric transformations of the plane
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