How to get cylic sum and symmetric sum

Question:How to get cylic sum and symmetric sum

Posted: nguyenhuyenag 90 Product: Maple

June 26 2018

Hi all, how to write function to get cylic sum and symmetric sum

Example.

getSum(a, [a,b,c]) then return a + b + c,

getSum(a^2, [a,b,c]) then return a^2 + b^2 + c^2,

getSum(a^2b, [a,b,c]) then return a^2b + b^2c + c^2a,

getSum(a, [a,b,c,d]) then return a + b + c + d,

getSum(a^2b, [a,b,c,d]) then return a^2b + b^2c + c^2d + d^2a

getSum(ab, [a,b,c,d]) then return ab + ac + ad + bc + bd + cd.

Thank you very much.

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