William Rowan Hamilton is more numerically stable than combining many matrix transformations. In control and modelling applications, quaternions do not have a computational singularity (undefined division by zero) that can occur for quarter-turn rotations (90 degrees) that are achievable by many Air, Sea and Space vehicles. In pure mathematics, quaternions show up significantly as one of the four finite-dimensional normed division algebras over the real numbers, with applications throughout algebra and geometry. It is believed by some modern mathematicians that Hamilton's work on quaternions was satirized by Charles Lutwidge Dodgson in Alice in Wonderland. In particular, the Mad Hatter's tea party was meant
I Should Have Known Better I Should Have Known Better "I Should Have Known Better" is a song by English rock band the Beatles composed by John Lennon (credited to Lennon–McCartney), and originally issued on "A Hard Day's Night", their soundtrack for the film of the same name released on 10 July 1964. "I Should Have Known Better" was also issued as the B-side of the US single "A Hard Day's Night" released on 13 July. An orchestrated version of the song conducted by George Martin appears on the North American version of the album, "A Hard Day's Night Original Motion Picture Soundtrack". In January