A unit quaternion is a quaternion of norm one. Dividing a non-zero quaternion q by its norm produces a unit quaternion Uq called the versor of q: Every quaternion has ...
Unit quaternions, also known as versors, provide a convenient mathematical notation for representing orientations and rotations of objects in three dimensions.
The quaternion was a gathering of four sheets of vellum, each folded once; thus forming sixteen pages.
Learn what quaternions are, and how to use quaternion multiplication to perform perfect 3 dimensional rotations.
The quaternion is implemented as Quaternion[a, b, c, d] in the Wolfram Language package Quaternions` where however , , , and must be explicit real numbers.
Middle English quaternyoun, from Late Latin quaternion-, quaternio, from Latin quaterni four each, from quater four times; akin to Latin quattuor four — more at four
They are compact, don't suffer from gimbal lock and can easily be interpolated. Unity internally uses Quaternions to represent all rotations.
The quaternion 'i' represents a rotation of 180 degrees about the x axis, the quaternion 'j' represents a rotation of 180 degrees about the y axis, the quaternion ...
The Contemporary Industry Standard. Cross asset class and industrial scale . Quaternion Risk Engine. The Quaternion Risk Engine (QRE) ...
Transparent Analytics based on Open Source Pricing Technology. Consulting at the cutting edge helps us improve the Quaternion Risk Engine to help it meet upcoming ...