Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License
 n. Plural form of quaternion.
Etymologies
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Examples

This isn't just an academic exercise though; a different system devised by Hamilton, called quaternions, evolved into the vector algebra that is now used extensively by physicists to describe the real world in another way.

The Irish mathematician William Rowan Hamilton, finding himself on a walk without a pencil when his life's great discovery occurred to him, scratched the formula for quaternions on a stone bridge with a nail.

You have to give up commutativity to get the quaternions.

Peirce was primarily an algebraist in his mathematical style; for example, he was enthusiastic for the cause of quaternions in mechanics after their introduction by W.R. Hamilton in the mid 1840s, and of the various traditions in mechanics he showed some favour for the

Passing all those quaternions back and forth all the time would use an enormous amount of bandwidth.

He invented quaternions a major stage in the development of algebra, it says here and helped establish the wave theory of light.

The two fourdimensional Clifford algebras are the 2 Ã— 2 matrices and the quaternions.

This has to do with the division algebras: A = R (real), C (complex), Q (quaternions) and O (octonions).

We know that increasing the dimension of the integers leads to complex numbers, and then to quaternions and then to octonions.

Yet these two quaternions or great tribes of things (each within its own limits) differ immensely in quantity of matter and density, but agree very well in configuration; as appears in numerous cases.
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