If you have data gathered in one coordinate system and want to express them in terms of a different coordinate system, you probably would use a translation vector and a rotation matrix. You can, ...

Imagine winding the hour hand of a clock back from 3 o’clock to noon. Mathematicians have long known how to describe this rotation as a simple multiplication: A number representing the initial ...

Irish physicist, astronomer, and mathematician Sir William Rowan Hamilton introduced quaternions, a non-commutative extension of complex numbers, on October 16, 1843. Benjamin Olinde Rodrigues had ...

To know the impact of Jack Kuipers the researcher one need only peruse the reviews on amazon.com of his 1999 book Quaternions and Rotation Sequences: A Primer with Applications to Orbits, Aerospace, ...