qua·ter·ni·on
/kwəˈtərnēən,kwäˈternēən/
noun
- a complex number of the form w + xi + yj + zk, where w, x, y, z are real numbers and i, j, k are imaginary units that satisfy certain conditions.
- a set of four people or things.
In mathematics, the quaternions are a number system that extends the complex numbers. 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... Wikipedia
In mathematics, the quaternions are a number system that extends the complex numbers. 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.
Quaternions and spatial rotation · History of quaternions · Classical Hamiltonian ...
Unit quaternions, also known as versors, provide a convenient mathematical notation for representing orientations and rotations of objects in three dimensions .
Using quaternion as ... · Quaternion rotation ... · Explaining quaternions ...
The quaternions are members of a noncommutative division algebra first invented by William Rowan Hamilton. The idea for quaternions occurred to him while ...
This page is an introduction to Quaternions, the pages below this have more detail about their algebra and how to use them to represent 3D rotations.
Introducing The Quaternions. The Complex Numbers. ▻ The complex numbers C form a plane. ▻ Their operations are very related to two-dimensional.
Jun 25, 2012 · In this article I will attempt to explain the concept of Quaternions in an easy to understand way. I will explain how you might visualize a ...
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