mathjs/docs/reference/functions/setCartesian.md
2022-03-01 13:04:09 +01:00

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<h1 id="function-setcartesian">Function setCartesian <a href="#function-setcartesian" title="Permalink">#</a></h1>
Create the cartesian product of two (multi)sets.
Multi-dimension arrays will be converted to single-dimension arrays
and the values will be sorted in ascending order before the operation.
<h2 id="syntax">Syntax <a href="#syntax" title="Permalink">#</a></h2>
```js
math.setCartesian(set1, set2)
```
<h3 id="parameters">Parameters <a href="#parameters" title="Permalink">#</a></h3>
Parameter | Type | Description
--------- | ---- | -----------
`a1` | Array &#124; Matrix | A (multi)set
`a2` | Array &#124; Matrix | A (multi)set
<h3 id="returns">Returns <a href="#returns" title="Permalink">#</a></h3>
Type | Description
---- | -----------
Array &#124; Matrix | The cartesian product of two (multi)sets
<h3 id="throws">Throws <a href="#throws" title="Permalink">#</a></h3>
Type | Description
---- | -----------
<h2 id="examples">Examples <a href="#examples" title="Permalink">#</a></h2>
```js
math.setCartesian([1, 2], [3, 4]) // returns [[1, 3], [1, 4], [2, 3], [2, 4]]
math.setCartesian([4, 3], [2, 1]) // returns [[3, 1], [3, 2], [4, 1], [4, 2]]
```
<h2 id="see-also">See also <a href="#see-also" title="Permalink">#</a></h2>
[setUnion](setUnion.html),
[setIntersect](setIntersect.html),
[setDifference](setDifference.html),
[setPowerset](setPowerset.html)