> For the complete documentation index, see [llms.txt](https://developers.polymath.network/polymath/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://developers.polymath.network/polymath/api/math.md).

# Math (Math.sol)

View Source: [openzeppelin-solidity/contracts/math/Math.sol](https://github.com/PolymathNetwork/polymath-core/tree/096ba240a927c98e1f1a182d2efee7c4c4c1dfc5/openzeppelin-solidity/contracts/math/Math.sol)

**Math**

Assorted math operations

## Functions

* [max(uint256 a, uint256 b)](/polymath/api/math.md#max)
* [min(uint256 a, uint256 b)](/polymath/api/math.md#min)
* [average(uint256 a, uint256 b)](/polymath/api/math.md#average)

### max

Returns the largest of two numbers.

```javascript
function max(uint256 a, uint256 b) internal pure
returns(uint256)
```

**Arguments**

| Name | Type    | Description |
| ---- | ------- | ----------- |
| a    | uint256 |             |
| b    | uint256 |             |

### min

Returns the smallest of two numbers.

```javascript
function min(uint256 a, uint256 b) internal pure
returns(uint256)
```

**Arguments**

| Name | Type    | Description |
| ---- | ------- | ----------- |
| a    | uint256 |             |
| b    | uint256 |             |

### average

Calculates the average of two numbers. Since these are integers, averages of an even and odd number cannot be represented, and will be rounded down.

```javascript
function average(uint256 a, uint256 b) internal pure
returns(uint256)
```

**Arguments**

| Name | Type    | Description |
| ---- | ------- | ----------- |
| a    | uint256 |             |
| b    | uint256 |             |