Last Updated：2025/12/06

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

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additive combinatorics

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Source Word

additive combinatorics

Noun

uncountable

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

Japanese Meaning

数学における組合せ論の一分野であり、和集合を用いた加法に関する問題（例：数の和に関する問題）を扱う領域を指す。

What is this buttons?

Additive combinatorics has provided powerful tools for understanding the structure of sets with small sumsets.

Google Translation / DeepL Translation

加法的組合せ論は、和集合（sumset）を用いて表現される加法的問題を扱う組合せ論の一分野であり、和集合が小さい集合の構造を理解するための強力な手法を提供してきた。

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Sense（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.

Google Translation / DeepL Translation

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additive combinatorics

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