Sentences

quaternion in a sentence

n.

Definition

A quaternion is a mathematical entity that extends complex numbers to four dimensions, commonly used in computer graphics to efficiently represent rotations.

Sample Sentences

  1. A quaternion can be thought of as an extension of complex numbers into four dimensions.
  2. In computer graphics, quaternions are often used to represent rotations more efficiently than Euler angles.
  3. The mathematician William Rowan Hamilton is credited with the discovery of quaternions in the 19th century.
  4. Quaternions play a crucial role in robotics for the smooth interpolation of rotational movements.
  5. Understanding quaternions requires a solid foundation in linear algebra and advanced mathematics.
  6. A quaternion is a mathematical construct used to represent three-dimensional rotations.
  7. In computer graphics, quaternions are preferred over Euler angles for their ability to avoid gimbal lock.
  8. The physicist William Rowan Hamilton introduced the concept of quaternions in the 19th century.
  9. When performing calculations in three-dimensional space, using quaternions can simplify the mathematics involved.
  10. The quaternion algebra is a fundamental aspect of advanced physics and engineering simulations.

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