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- Quaternion - Wikipedia
In mathematics, the quaternions form a number system similar to the complex numbers, with the usual arithmetical operations of addition, subtraction, multiplication, and division, but with four real-number components instead of two
- Quaternion -- from Wolfram MathWorld
The quaternions are members of a noncommutative division algebra first invented by William Rowan Hamilton
- Introducing The Quaternions - Department of Mathematics
Take any unit imaginary quaternion, u = u1i + u2j + u3k That is, any unit vector
- What Is a Quaternion? The Math Behind 3D Rotation
A quaternion is a number with four components: one real part and three imaginary parts Written out, it looks like q = w + xi + yj + zk, where w, x, y, and z are ordinary real numbers, and i, j, and k are three distinct “imaginary” units
- Rotation Quaternions, and How to Use Them - DancesWithCode
Strictly speaking, a quaternion is represented by four elements: where q0, q1, q2 and q3 are real numbers, and i, j and k are mutually orthogonal imaginary unit vectors The q0 term is referred to as the "real" component, and the remaining three terms are the "imaginary" components
- Visualizing quaternions | Ben Eater
Explaining how quaternions, a four-dimensional number system, describe 3d rotation
- 1. 2: Quaternions - Mathematics LibreTexts
The quaternions, discovered by William Rowan Hamilton in 1843, were invented to capture the algebra of rotations of 3-dimensional real space, extending the way that the complex numbers capture the algebra of rotations of 2-dimensional real space
- Don’t Get Lost in Deep Space: Understanding Quaternions
Quaternions are mathematical operators that are used to rotate and stretch vectors This article provides an overview to aid in understanding the need for quaternions in applications like space navigation Accurately locating, shifting, and rotating objects in space can be done in a variety of ways
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