IP set

In mathematics, an IP set is a set of natural numbers which contains all finite sums of some infinite set. The finite sums of a set D of natural numbers are all those numbers that can be obtained by adding up the elements of some finite nonempty subset of D.The set of all finite sums over D is often denoted as FS(D). A set A of natural numbers is an IP set if there exists an infinite set D such that FS(D) is a subset of A. Some authors give a slightly different definition of IP sets: They require that FS(D) equal A instead of just being a subset.

IP set

In mathematics, an IP set is a set of natural numbers which contains all finite sums of some infinite set. The finite sums of a set D of natural numbers are all those numbers that can be obtained by adding up the elements of some finite nonempty subset of D.The set of all finite sums over D is often denoted as FS(D). A set A of natural numbers is an IP set if there exists an infinite set D such that FS(D) is a subset of A. Some authors give a slightly different definition of IP sets: They require that FS(D) equal A instead of just being a subset.