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
Should Have Known Better Should Have Known Better "Should Have Known Better" is a song by American singer-songwriter and multi-instrumentalist Sufjan Stevens. It is the second track and second single from his seventh studio album, "Carrie & Lowell", and was released digitally on March 11, 2015 on Asthmatic Kitty. A promotional CD was later released on Asthmatic Kitty but was not available for sale. ""Should Have Known Better"" received very positive reviews from contemporary music critics. The song was chosen upon release as Pitchfork Media's "Best New Track". Jeremy Gordon stated that, " 'Should Have Known Better' takes us back to the beginning he