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#### Search: #### Pui2comp

Function: pui2comp (<n>, <lpui>) renders the list of the first <n> complete functions (with the length first) in terms of the power functions given in the list <lpui>. If the list <lpui> is empty, the cardinal is <n>, otherwise it is its first element (as in `comp2ele` and `comp2pui`).

```          (%i1) pui2comp (2, []);
2
p2 + p1
(%o1)                   [2, p1, --------]
2
(%i2) pui2comp (3, [2, a1]);
2
a1 (p2 + a1 )
2  p3 + ------------- + a1 p2
p2 + a1              2
(%o2)     [2, a1, --------, --------------------------]
2                  3
(%i3) ratsimp (%);
2                     3
p2 + a1   2 p3 + 3 a1 p2 + a1
(%o3)        [2, a1, --------, --------------------]
2               6
Other functions for changing bases: `comp2ele`.```

```(%o1)                                true
(%i2) ```

### Related Examples

##### pui2comp-ratsimp

pui2comp (2, []);

pui2comp (3, [2, a1]);

ratsimp (%);

Calculate

? pui2comp;

Calculate

##### pui2comp-ratsimp

pui2comp (2, []);

pui2comp (3, [2, a1]);

ratsimp (%);

Calculate

##### pui2comp

? pui2comp;

Calculate 