Approved for public release; distribution unlimited. An exact formula is given for the grazing angle of specular reflection from a sphere by displaying the zeros of a certain self-inversive quartic… (More)

A sequence of integers 1 = a o < a1 < . . . < a t = n is said to be an addition chain for n if, for i > 0, ai = a, + a k for some 0 < j, k < i. The value t is called the length of the chain . The… (More)