Definitions for sumset
sum·set

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1. sumsetnoun

   The set of all sums of an element from A with an element from B, where A and B are subsets of an abelian group.

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1. Sumset

   In additive combinatorics, the sumset (also called the Minkowski sum) of two subsets A {\displaystyle A} and B {\displaystyle B} of an abelian group G {\displaystyle G} (written additively) is defined to be the set of all sums of an element from A {\displaystyle A} with an element from B {\displaystyle B} . That is, A + B = { a + b : a ∈ A , b ∈ B } . {\displaystyle A+B=\{a+b:a\in A,b\in B\}.} The n {\displaystyle n} -fold iterated sumset of A {\displaystyle A} is n A = A + ⋯ + A , {\displaystyle nA=A+\cdots +A,} where there are n {\displaystyle n} summands. Many of the questions and results of additive combinatorics and additive number theory can be phrased in terms of sumsets. For example, Lagrange's four-square theorem can be written succinctly in the form 4 ◻ = N , {\displaystyle 4\,\Box =\mathbb {N} ,} where ◻ {\displaystyle \Box } is the set of square numbers. A subject that has received a fair amount of study is that of sets with small doubling, where the size of the set A + A {\displaystyle A+A} is small (compared to the size of A {\displaystyle A} ); see for example Freiman's theorem.

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1. Sumset

   In additive combinatorics, the sumset of two subsets A and B of an abelian group G is defined to be the set of all sums of an element from A with an element from B. That is, The n-fold iterated sumset of A is where there are n summands. Many of the questions and results of additive combinatorics and additive number theory can be phrased in terms of sumsets. For example, Lagrange's four-square theorem can be written succinctly in the form where is the set of square numbers. A subject that has received a fair amount of study is that of sets with small doubling, where the size of the set A + A is small; see for example Freiman's theorem.

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1. u-stems

How to pronounce sumset?

1. Alex

   US English

   David

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   Mark

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   Daniel

   British

   Libby

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   Mia

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   Karen

   Australian

   Hayley

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   Neerja

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Numerology

1. Chaldean Numerology

   The numerical value of sumset in Chaldean Numerology is: 7

2. Pythagorean Numerology

   The numerical value of sumset in Pythagorean Numerology is: 7

References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Sumset
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Sumset
3. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=sumset