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
Skeffington Lutwidge September. Lutwidge moved his flag to the new guard ship, the third rate in October, shifting again to in 1799. He became a vice-admiral of the red on 14 February that year, and by 1799 he was commander of the fleets in the Downs, where under his command in 1801 was his former midshipman of the "Carcass" Horatio Nelson, by now in command of . Lutwidge was advanced to admiral of the blue on 1 January 1801, admiral of the white on 9 November 1805, and admiral of the red on 31 July 1810. He retired from active service and