additive combinatorics
名词 n.
英文释义
名词 n.
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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#43;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.
词源
Coined circa early 2000s by Australian-American mathematician Terence Tao for a rapidly developing field growing out of combinatorial number theory, named differently to reflect a changed emphasis in the problems being studied.
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