# quaternion

**IPA:** kwˈɑtɝnjʌn

### noun

- A group or set of four people or things.
- A word of four syllables.
- (mathematics) A type of four-dimensional hypercomplex number consisting of a real part and three imaginary parts (real multiples of distinct, independent square roots of −1 denoted by i, j and k); commonly used in vector mathematics and as an alternative to matrix algebra in calculating the rotation of three-dimensional objects.

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# Examples of "quaternion" in Sentences

- Quaternion algebra construction.
- Product of two right quaternion.
- Quaternion arithmetic in practice.
- Recall the quaternion conjugation .
- Proof of the quaternion rotation identity.
- A unit quaternion is a quaternion of norm one.
- A 'unit quaternion' is a quaternion of norm one.
- Or that a vector is the imaginary part of a quaternion.
- Denoting the versor of a quaternion by Right quaternion.
- Hamilton could not resist the impulse to carve the formulae for the quaternions.
- In [[mathematics]], a '' 'quaternion' '' is a four-dimensional [[object]] important in
- Bacon's bi-quaternion theory necessarily refers to the sublunary as well as to the superlunary world.
- It happens we both suffer from quaternion headaches, though his remedy, cold beet, was one I have not yet tried.
- Outside the quaternion were the dancing Pauppukkeewis, the Whirlwind, and the fierce and shifty hero, Monobozho, the North-West
- Whence it appears that in the structure of the universe the motions of living creatures are generally effected by a quaternion of limbs or of bendings.
- The quaternion theory functions in Bacon's thought as a constructive element for constituting his own theory of planetary movement and a general theory of physics.
- Go to the use of a better (higher group symmetry) modern electrodynamics model (such as quaternion electrodynamics, very close to Maxwell's original theory), and the operation of such asymmetric systems now is included (as it was and is in Maxwell's original 20 quaternion-like equations in 20 unknowns).
- Farther he avers the virtue of ten consists in the quaternion; the reason whereof is this, — if any person start from one, and add numbers so as to take in the quaternary, he shall complete the number ten; if he passes the four, he shall go beyond the ten; for one, two, three, and four being added up together make ten.
- But we would maintain, nevertheless, that it is the identical book, and explain this variation in the description by the circumstance that the library having, in the space of nearly two centuries, been materially enriched, numerous works, consisting in many cases only of a single "quaternion," were inserted in the volumes already existing.