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
Mark Dodgson author of several key texts in the Management of Technological Innovation. He was awarded the Eureka Prize for Leadership in Business Innovation in 2007. He has been director of the Think, Play, Do Group; non-executive director of Nestle Australia Ltd; and a member of the Advisory Board of ThIess pty ltd. He is an advisor to ecoLegacy Ltd. Dodgson argues innovation management and policy depends on a comprehensive understanding of the innovation process and the ways it is changing. His early contributions on technology strategy identified the importance of focus and flexibility in technology investments and use. He conducted one