What is a sumset? Say we have sets X={0,2,3} and Y={1,2,5}. Is the sumset defined to be X+Y={0+1,2+2,3+5}={1,4,8} or summing every element pairwise X+Y={1,2,5,3,4,7,8}

neimanjaLrq

neimanjaLrq

Answered question

2022-11-29

What is a sumset?
Say we have sets X={0,2,3} and Y={1,2,5}.
Is the sumset defined to be
X+Y={0+1,2+2,3+5}={1,4,8}
or summing every element pairwise
X+Y={1,2,5,3,4,7,8}

Answer & Explanation

revessatrP6

revessatrP6

Beginner2022-11-30Added 11 answers

A + B = { a + b : a A , b B } .
Y = { 1 , 2 , 5 }
X + Y = { 0 + 1 ; 0 + 2 ; 0 + 5 ; 2 + 1 ; 2 + 2 ; 2 + 5 ; 3 + 1 ; 3 + 2 ; 3 + 5 }

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