mathjs/docs/reference/functions/setCartesian.md

Math.js is an extensive math library for JavaScript and Node.js. It features a flexible expression parser with support for symbolic computation, comes with a large set of built-in functions and constants, and offers an integrated solution to work with dif

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# Function setCartesian

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.


## Syntax

```js
math.setCartesian(set1, set2)
```

### Parameters

Parameter | Type | Description
--------- | ---- | -----------
`a1` | Array &#124; Matrix | A (multi)set
`a2` | Array &#124; Matrix | A (multi)set

### Returns

Type | Description
---- | -----------
Array &#124; Matrix | The cartesian product of two (multi)sets


## Examples

```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]]
```


## See also

[setUnion](setUnion.md),
[setIntersect](setIntersect.md),
[setDifference](setDifference.md),
[setPowerset](setPowerset.md)