English Dictionary

additive combinatorics

noun

(mathematics) A subbranch of combinatorics that concerns additive problems expressed using sumsets.

Additive combinatorics is a branch of mathematics that studies the properties of addition and the structure of sets under addition.

意味（1）

(mathematics) A subbranch of combinatorics that concerns additive problems expressed using sumsets.

One major area of study in additive combinatorics is that of inverse problems: for instance, given the sumset A+B is small in size, what can we say about the structures of A and B? In the case of integer sumsets, Freiman's theorem provides a partial answer.