Likewise, for any nonnegative integer . The number can be any nonnegative integer. This program assumes that is indexed by "nonnegative" integers. For example, linear expressions involving nonnegative scalar variables may be added to the program specification. This function will crash if anything other than a nonnegative integer is given. Classical "q"-theory begins with the "q"-analogs of the nonnegative integers. This agrees with the usual definitions when is a nonnegative integer. The sum over "s" is over such values that the factorials are nonnegative. One must thus prove that this length satisfies properties that characterize nonnegative real numbers. Posynomials are closed under addition, multiplication, and nonnegative scaling. Each step begins with two nonnegative remainders "r" and "r". The edges themselves are the points that have a zero coordinate and two nonnegative coordinates. Let formula 1 and formula 2 be nonnegative numbers. Specifically, let the nonnegative numbers and the nonnegative weights be given. When a candidate arrives, she reveals a set of nonnegative numbers.