quaternion

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[edit] English

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[edit] Etymology

From Middle English quaternioun, from Late Latin quaterniō, from quaternī (ablative form of quater, “four times”) + -iōn, “-ion”.[1][2][3]

[edit] Pronunciation

  • (RP) IPA: /kwɒˈtɜːniɒn/

[edit] Noun

Singular
quaternion

Plural
quaternions

quaternion (plural quaternions)

  1. A group or set of four people or things.[3]
  2. (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 three-dimensional games. Quaternion multiplication is the most common technique used by mathematicians to avoid gimbal lock when rotating vectors.[3]

[edit] See also

[edit] Translations

[edit] References

  • Notes:
  1. ^ Dictionary.com Unabridged (v 1·1)
  2. ^ The American Heritage® Dictionary of the English Language, Fourth Edition
  3. 3.0 3.1 3.2 The Concise Oxford English Dictionary [Eleventh Edition]