In mathematics, the Cayley transform, named after Arthur Cayley, has a cluster of related meanings. As originally described by Cayley (1846), the Cayley transform is a mapping between skew-symmetric matrices and special orthogonal matrices. In complex analysis, the Cayley transform is a conformal mapping (Rudin 1987) in which the image of the upper complex half-plane is the unit disk (Remmert 1991, pp. 82ff, 275). And in the theory of Hilbert spaces, the Cayley transform is a mapping between linear operators (Nikol’skii 2001).
Read more about Cayley Transform: Matrix Map, Conformal Map, Operator Map
Famous quotes containing the word transform:
“Bees plunder the flowers here and there, but afterward they make of them honey, which is all theirs; it is no longer thyme or marjoram. Even so with the pieces borrowed from others; one will transform and blend them to make a work that is all one’s own, that is, one’s judgement. Education, work, and study aim only at forming this.”
—Michel de Montaigne (1533–1592)