The scalar quaternions commute with all other quaternions, that is aq = qa for every quaternion q and every scalar quaternion a. In algebraic terminology this is to say that the field of the scalar …

Dec 20, 2025 · 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 …

The quaternions are members of a noncommutative division algebra first invented by William Rowan Hamilton.

On October 16th, 1843, while walking with his wife to a meeting of the Royal Society of Dublin, Hamilton discovered a 4-dimensional division algebra called the quaternions:

Jun 7, 2020 · 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 …

The quaternions were discovered by Sir William Rowan Hamilton in 1843, after struggling unsuccessfully to construct an algebra in three dimensions. On 16 October 1843, as Hamilton was walking along a …

Quaternions form an interesting algebra where each object contains 4 scalar variables (sometimes known as Euler Parameters not to be confused with Euler angles), these objects can be added and …

In modern terms, quaternions form a four-dimensional associative normed division algebra over the real numbers, and therefore a ring, also a division ring and a domain. It is a special case of a Clifford …

Quaternions are just extensions of complex numbers. They have Real part - R e (q) and Imaginary part - I m (q) but instead of 1, there are 3 imaginary symbols (i, j, k).

QUATERNION definition: a group or set of four persons or things. See examples of quaternion used in a sentence.