Meaning

3 senses
  1. A group or set of four people or things.

  2. A word of four syllables.

  3. 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.

    Quaternion

    кватернионkvaternion

More definitions
  • the cardinal number that is the sum of three and one

Examples

2 sentences
  1. Many students find quaternion arithmetic unintuitive because it has non-commutative multiplication.

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  2. In quaternion arithmetic, there are more than two distinct square roots of -1.

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Translations

7 languages
Русский
By meaning 1
a four-dimensional hypercomplex number:
Deutsch
By meaning 1
a four-dimensional hypercomplex number:

Origin

From Middle English quaterniǒun, from Late Latin quaterniō, from quaternī (“four each”) +

From Middle English quaterniǒun, from Late Latin quaterniō, from quaternī (“four each”) + -iō, from quater (“four times”). Doublet of kern. The mathematics sense was coined by Irish mathematician and astronomer William Rowan Hamilton in 1843.

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