## 75 Package makeOrders ¶

### 75.1 Functions and Variables for makeOrders ¶

Function: makeOrders (indvarlist,orderlist) ¶

  Returns a list of all powers for a polynomial up to and including the arguments.

      (%i1) load("makeOrders")$

      (%i2) makeOrders([a,b],[2,3]);
      (%o2) [[0, 0], [0, 1], [0, 2], [0, 3], [1, 0], [1, 1],
                  [1, 2], [1, 3], [2, 0], [2, 1], [2, 2], [2, 3]]
      (%i3) expand((1+a+a^2)*(1+b+b^2+b^3));
             2  3      3    3    2  2      2    2    2
      (%o3) a  b  + a b  + b  + a  b  + a b  + b  + a  b + a b
                                                        2
                                                 + b + a  + a + 1

  where `[0, 1]` is associated with the term \(b\) and `[2, 3]` with \(a^2 b^3\).

  To use this function write first `load("makeOrders")`.

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