4.23.2 vector expressions

A vector expression is:

1. an identifier of type vector
2. a function returning vector
3. a polynomial expression (via the canonical embedding p ==> p*gen(1))
4. vector expressions combined by the arithmetic operations + or -
5. a polynomial expression and a vector expression combined by the arithmetic operation *
6. a type cast to vector using the brackets [ , ]

Example:

// ordering gives priority to components: ring rr=0,(x,y,z),(c,dp); vector v=[x2+y3,2,0,x*y]+gen(6)*x6; v; ==> [y3+x2,2,0,xy,0,x6] vector w=[z3-x,3y]; v-w; ==> [y3-z3+x2+x,-3y+2,0,xy,0,x6] v*(z+x); ==> [xy3+y3z+x3+x2z,2x+2z,0,x2y+xyz,0,x7+x6z] // ordering gives priority to monomials: // this results in a different output ring r=0,(x,y,z),(dp,c); imap(rr,v); ==> x6*gen(6)+y3*gen(1)+x2*gen(1)+xy*gen(4)+2*gen(2)

See Type conversion and casting; ring.