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What is a quaternion?

What is a quaternion? Here are some definitions.

Noun
  1. A group or set of four people or things.
  2. A word of four syllables.
  3. (mathematics) A four-dimensional hypercomplex number that consists of a real dimension and 3 imaginary ones (i, j, k) that are each a square root of -1. They are commonly used in vector mathematics and in calculating the rotation of three-dimensional objects.
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Next, to assign the distinction between the first and the second quaternion in propositions tertii adjacentis.
Today's vector products are a watered-down version of quaternion multiplication.
Should neither player be able to form a quaternion, then the game is drawn.
With quaternion theory we see that, in the final analysis, Bacon was not a mechanist philosopher.
The two figural miniatures and all the canon tables are contained on a separate gathering, a quaternion, physically joined together.
There was no sound of trumpet at the sun's rising, but a quaternion of legionaries came and the guard was changed.

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