Compute all third degree monomials out of a given vector

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Mohamed Abdalmoaty 2019-5-30

编辑： Matt J 2019-6-4

Suppose you are given a vector

How can one effieciently construct a vector containing all third degree monomials of the vector entries? That is a vector of dimension

containing the entries

编辑：Mohamed Abdalmoaty 2019-6-3

Are you counting

and

as two different monomials? (or

and

) ...These count as 1 for me.

Matt J 2019-6-4

For me too.

Matt J 2019-6-3

编辑：Matt J 2019-6-4

p=eps(u);  
p(u<0)=-p(u<0);
logresult = nchoosek(log(u+p),2)*[3 2 1 0 ; 0 1 2 3];
result= real(exp(logresult))

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