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 partial quotients regular continued fraction is periodic. Clearly any regular periodic continued fraction consists of restricted partial quotients, since none of the partial denominators can be greater than the largest of "a" through "a". Historically, mathematicians studied periodic continued fractions before considering the more general concept of restricted partial quotients. The Cantor set is a set "C" of measure zero from which a complete interval of real numbers can be constructed by simple addition – that is, any real number from the interval can be expressed as the sum of exactly two elements of the set "C". The usual proof of the