Search for "Quaternions" in article titles:

1. Quaternions: The word "quaternion " properly means " a set of four. In employing such a word to denote a new mathematical method, Sir W. Hamilton was probably influenced by the recollection of its Greek equivalent, the Pythagorean Tetractys (TerpaKrt, the number four ... [100%] 2022-09-02
2. Quaternions: Quaternions are numbers of the form a + b i + c j + d k {\displaystyle a+bi+cj+dk} , where a {\displaystyle a} , b {\displaystyle b} , c {\displaystyle c} and d {\displaystyle d} are real numbers and each of i , j ... [100%] 2024-01-08
3. History of quaternions: In mathematics, quaternions are a non-commutative number system that extends the complex numbers. Quaternions and their applications to rotations were first described in print by Olinde Rodrigues in all but name in 1840, but independently discovered by Irish mathematician ... (Aspect of history) [57%] 2024-01-08 [Historical treatment of quaternions]
4. Classical Hamiltonian quaternions: William Rowan Hamilton invented quaternions, a mathematical entity in 1843. This article describes Hamilton's original treatment of quaternions, using his notation and terms. (Hamilton's original treatment of quaternions) [57%] 2025-06-01 [History of mathematics] [Historical treatment of quaternions]...
5. Conversion between quaternions and Euler angles: Spatial rotations in three dimensions can be parametrized using both Euler angles and unit quaternions. This article explains how to convert between the two representations. (Mathematical strategy) [40%] 2023-11-16 [Rotation in three dimensions] [Euclidean symmetries]...
6. Applications of dual quaternions to 2D geometry: In this article, we discuss certain applications of the dual quaternion algebra to 2D geometry. At this present time, the article is focused on a 4-dimensional subalgebra of the dual quaternions which we will call the planar quaternions. (Four-dimensional algebra over the real numbers) [37%] 2023-10-26 [Hypercomplex numbers] [Quaternions]...