The complement of set B, B’, contains all the elements that are not in set B. \(P’\) is the complement of set \(P\). The intersection of one set and the complement of another set identifies elements ...

PPs may be adjoined to both NP and VP or they may function as a complement to either category. Given a phrase with a PP, it is not easy to determine the PP is a complement or a modifier. A couple of ...

A team of four prominent mathematicians, including two Fields medalists, proved a conjecture described as a “holy grail of additive combinatorics.” Within a month, a loose collaboration verified it ...

Excerpted with permission from Our Mathematical Universe: My Quest for the Ultimate Nature of Reality, by Max Tegmark. Available from Random House/Knopf. Copyright ...