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VERSTOR

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check VERSTOR in all word games (59 answers)
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Verstor might refer to
In mathematics, a versor is a quaternion of norm one (a unit quaternion). * Each versor has the form* * * * q * = * exp * ⁡ * ( * a * * r * * ) * = * cos * ⁡ * a * + * * r * * sin * ⁡ * a * , * * * * r * * * 2 * * * = * − * 1 * , * * a * ∈ * [ * 0 * , * π * ] * , * * * {\displaystyle q=\exp(a\mathbf {r} )=\cos a+\mathbf {r} \sin a,\quad \mathbf {r} ^{2}=-1,\quad a\in [0,\pi ],} * where the r2 = −1 condition means that r is a unit-length vector quaternion (or that the first component of r is zero, and the last three components of r are a unit vector in 3 dimensions). In case a = π/2, the versor is termed a right versor. * The corresponding 3-dimensional rotation has the angle 2a about the axis r in axis–angle representation. * The word is derived from Latin versare = "to turn" with the suffix -or forming a noun from the verb (i.e. versor = "the turner"). It was introduced by William Rowan Hamilton in the context of his quaternion theory.

Verstor might refer to

In mathematics, a versor is a quaternion of norm one (a unit quaternion).
* Each versor has the form*
*
*
* q
* =
* exp
* ⁡
* (
* a
*
* r
*
* )
* =
* cos
* ⁡
* a
* +
*
* r
*
* sin
* ⁡
* a
* ,
*
*
*
* r
*
*
* 2
*
*
* =
* −
* 1
* ,
*
* a
* ∈
* [
* 0
* ,
* π
* ]
* ,
*
*
* {\displaystyle q=\exp(a\mathbf {r} )=\cos a+\mathbf {r} \sin a,\quad \mathbf {r} ^{2}=-1,\quad a\in [0,\pi ],}
* where the r2 = −1 condition means that r is a unit-length vector quaternion (or that the first component of r is zero, and the last three components of r are a unit vector in 3 dimensions). In case a = π/2, the versor is termed a right versor.
* The corresponding 3-dimensional rotation has the angle 2a about the axis r in axis–angle representation.
* The word is derived from Latin versare = "to turn" with the suffix -or forming a noun from the verb (i.e. versor = "the turner"). It was introduced by William Rowan Hamilton in the context of his quaternion theory.

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