| NOUN | a quaternion | quaternions |
NOUN article.ind sg | pl
4 Übersetzungen
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Anwendungsbeispiele Englisch
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- Here, "q" is a quaternion. "Sq" is the scalar of the quaternion while Vq is the vector of the quaternion.
- In differential geometry, a quaternion-Kähler symmetric space or Wolf space is a quaternion-Kähler manifold which, as a Riemannian manifold, is a Riemannian symmetric space.
- One must be careful when converting a rotation matrix to a quaternion, as several straightforward methods tend to be unstable when the trace (sum of the diagonal elements) of the rotation matrix is zero or very small.
- The matrix representation of the quaternion product is convenient for programming quaternion computations using matrix algebra, which is true for dual quaternion operations as well.
- In 1843, William Rowan Hamilton introduced the quaternion product, and with it the terms "vector" and "scalar".
- The notion of a quaternion algebra can be seen as a generalization of Hamilton's quaternions to an arbitrary base field.
- In mathematics, a versor is a quaternion of norm one (a unit quaternion).
- In 1951 Brenner published his findings about matrices with quaternion entries.
- The vector part of a unit quaternion represents the radius of the 2-sphere corresponding to the axis of rotation, and its magnitude is the sine of half the angle of rotation.
- A quaternion algebra over a field [...] is a four-dimensional central simple [...] -algebra. A quaternion algebra has a basis [...] where [...] and [...].
- is called the quaternion algebra of [...]. The quaternion algebra of [...] is called the "invariant quaternion algebra" of [...] , denoted by [...].
- In this passage [...] is the operator giving the scalar part of a quaternion, and [...] is the "tensor", now called norm, of a quaternion.
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