### The Maxima on-line user's manual

Algebra Calculator

#### Antisymmetric

-- Declaration: antisymmetric If `declare(h,antisymmetric)` is done, this tells the simplifier that `h` is antisymmetric. E.g. `h(x,z,y)` will simplify to `- h(x, y, z)`. That is, it will give (-1)^n times the result given by `symmetric` or `commutative`, where n is the number of interchanges of two arguments necessary to convert it to that form.

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

### Related Examples

##### antisymmetric-declare-exp-log-solve

IP: (%K1 *(%PBase+(PB...

declare (IP, antisymm...

solve(IP=%LimIP, PBra...

Calculate

? antisymmetric;

Calculate

##### antisymmetric-declare

h((0, 0),(1, 1),(2, 2...

declare(h,antisymmetr...

Calculate

##### antisymmetric

h((1, 2),(1, 4),(1, 3...

? antisymmetric;

Calculate

##### antisymmetric-declare-solve

IP: (%K1 *(%PBase+(PB...

declare (IP, antisymm...

solve(IP=%LimIP, PBra...

Calculate

? antisymmetric;

Calculate

##### antisymmetric-declare

h((a, a),(b, b),(c, c...

declare(h,antisymmetr...

Calculate

##### antisymmetric-declare

h((x, x),(y, z),(z, y));

declare(h,antisymmetr...

Calculate

##### antisymmetric-declare-exp-log-solve

IP: (%K1 *(%PBase+(PB...

declare (IP, antisymm...

solve(IP=%LimIP, PBra...

Calculate

? antisymmetric;

Calculate