# Lesson 10.4: The Caret When Used as a Hat and the Partial Derivative Symbol

## Symbols

$^\phantom{\rule{.3em}{0ex}}\text{hat over previous item}$

⠐⠱

$\partial \phantom{\rule{.3em}{0ex}}\text{partial derivative}$

⠈⠙

## Review

There are indicators in UEB that apply to the item appearing just before or after the indicator. Braille grouping indicators must be used to enclose an expression that includes more than one item.

## Explanation

The caret symbol is used in print for a variety of reasons. It is used to show that a number is being raised to a power and it is also used in statistics. A variable with a caret is used to distinguish it from other variables and to give it special meaning. In braille, the hat over previous item, dot five, dots one five six is used.

The partial derivative symbol in print resembles a rounded lower-case letter d. In braille this symbol is represented by dot four, dots one four five.

Follow print for spacing.

### Example 1

$\hat{q}$

⠰⠰⠟⠐⠱

### Example 2

$\hat{p}$

⠰⠰⠏⠐⠱

### Example 3

$\hat{y}=18.5+12.9x$

⠰⠰⠽⠐⠱⠀⠐⠶⠀⠼⠁⠓⠲⠑⠐⠖⠼⠁⠃⠲⠊⠭

### Example 4

$\frac{\hat{x}}{\hat{y}}$

⠰⠰⠷⠭⠐⠱⠨⠌⠽⠐⠱⠾

### Example 5

$\sqrt{\frac{\hat{x}}{\hat{y}}}$

⠰⠰⠩⠷⠭⠐⠱⠨⠌⠽⠐⠱⠾⠬

### Example 6

$\partial t$

⠈⠙⠞

### Example 7

$\frac{\partial f}{\partial x}$

⠰⠰⠷⠈⠙⠋⠨⠌⠈⠙⠭⠾