David Hockney the Order of Merit, an honour restricted to 24 members at any one time for their contributions to the arts and sciences. He was a Distinguished Honoree of the National Arts Association, Los Angeles, in 1991 and received the First Annual Award of Achievement from the Archives of American Art, Los Angeles, in 1993. He was appointed to the Board of Trustees of the American Associates of the Royal Academy Trust, New York in 1992 and was given a Foreign Honorary Membership to the American Academy of Arts and Sciences, Cambridge, Massachusetts in 1997. In 2003, Hockney was awarded the
Restricted isometry property with restricted isometry constant formula_3. This is equivalent to where formula_5 is the identity matrix and formula_6 is the operator norm. See for example for a proof. Finally this is equivalent to stating that all eigenvalues of formula_7 are in the interval formula_8. The RIP Constant is defined as the infimum of all possible formula_9 for a given formula_10. It is denoted as formula_12. For any matrix that satisfies the RIP property with a RIC of formula_12, the following condition holds: Restricted isometry property In linear algebra, the restricted isometry property (RIP) characterizes matrices which are nearly orthonormal, at least