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 ...

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 ...

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 ...

All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in general, research mathematicians don’t need to think about it ...