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
U Should've Known Better U Should've Known Better "U Should've Known Better" is a song by American recording artist Monica. It was written in collaboration with Harold Lilly and Jermaine Dupri, and produced by the latter along with frequent co-producer Bryan Michael Cox for her original third studio album, "All Eyez on Me" (2002). When the album was shelved for release outside Japan, the song was one out of five original records that were transferred into its new version, "After the Storm" (2003). A contemporary R&B slow jam, "U Should've Known Better" contains elements of soul music and rock music. Built on an pulsating