quaternion

Meanings

• noun

  A quaternion is a number system that extends the complex numbers, adding an additional imaginary unit i2, squared to give -1.

  - "Quaternions are used in physics and engineering for rotations in three dimensions."
  - "The quaternion conjugate is a mathematical operation that maps one quaternion to another."

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Synonyms

foursome , tetrad

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Variants

List of all variants of quaternion that leads to same result
quaternion , quaternions

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Etymology

origin and the way in which meanings have changed throughout history.

The term 'quaternion' comes from the Latin word 'quattuor', meaning 'four'. It was introduced by Irish mathematician William Rowan Hamilton in the 19th century.

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Trivia

Any details, considerations, events or pieces of information regarding the word

1. The quaternion group is a non-Abelian group of order 8, which is the smallest non-Abelian simple group.

2. Quaternions were first introduced by William Rowan Hamilton in 1843, and he inscribed the equation for quaternions on the Broome Bridge in Dublin, Ireland.

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Related Concepts

informations on related concepts or terms closely associated with the word. Discuss semantic fields or domains that the word belongs to

1. Complex numbers: Quaternions are an extension of complex numbers, which in turn are an extension of real numbers.

2. Vector calculus: Quaternions are used in vector calculus for representing rotations in three dimensions.

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Culture

Any cultural, historical, or symbolic significance of the word. Explore how the word has been used in literature, art, music, or other forms of expression.

Quaternions have been used extensively in various fields such as physics, engineering, computer graphics, and cryptography.

How to Memorize "quaternion"

1. visualize
   

   - Imagine a 4x4 matrix, with the first three rows and columns representing the real and imaginary parts of a quaternion, and the fourth row and column representing the scalar part.

2. associate
   

   - Associate quaternions with rotations in 3D space.

3. mnemonics
   

   - Remember the first three letters of 'quaternion' as 'qua' for 'quaternion of quats' (quaternions of quaternions), and 'tion' for 'system of'.

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