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