### 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.

User manual for Singular version 4.4.1, 2025, generated by texi2html.