UEB Math Tutorial
Practice Problems -   -  Use 6 Dot Entry   Switch to Nemeth Tutorial

Lesson 9.0: Subscripts

Symbols

level change down indicator (subscript)

braille grouping, opening

braille grouping, closing

Review

There are indicators in UEB that apply to the item appearing just before or after the indicator. An item is defined as any one of the following groupings if they appear in the position affected by the indicator:

Grade 1 mode is turned on by grade 1 indicators and by the numeric indicator. When grade 1 mode is turned on by the numeric indicator, it is turned off by a space, hyphen, or dash.

Explanation

A quantity displayed below the normal line of text and generally in a smaller point size is known as a subscript. Subscripts are commonly used to indicate indices, including the entry in a matrix (row and column) and a range of other operations and notations.

The level change down indicator is used in braille to identify an item in the subscript position. The UEB definition of item was introduced in an earlier lesson. When the material in the subscript position extends beyond an item, it must be enclosed in braille grouping indicators. The level change down indicator is dots two six. The opening braille grouping symbol is dots one two six and the closing braille grouping symbol is dots three four five. All three symbols also have a grade 2 meaning therefore the symbols must be in grade 1 mode. Grade 1 mode is set by the numeric indicator or by grade 1 indicators.

The value is written first followed by the level change indicator and the item in the subscript position. If the item in the subscript position appears to the left of the value, the subscript indicator must precede the value with a grade 1 indicator unless grade 1 mode is already in effect.

The level change down indicator terminates numeric mode. The numeric indicator must be used with a numeral that appears in the subscript position.

When a subscript has multiple levels (a subscript of a subscript), braille grouping indicators must be used with the level change indicators.

When a value has both a subscript and superscript (exponent), work from bottom to top or left to right unless print indicates a different sequence of subscript/superscript items.

Example 1

xy
⠭⠰⠢⠽

Example 2

3x
⠼⠉⠢⠭

Example 3

x2y
⠭⠰⠢⠣⠼⠃⠽⠜

Example 4

32
⠼⠉⠢⠼⠃

Example 5

xab
⠰⠰⠭⠢⠣⠁⠢⠃⠜

Example 6

4x3+3
⠼⠙⠢⠣⠭⠢⠼⠉⠐⠖⠼⠉⠜

Example 7

4x3+3
⠼⠙⠢⠣⠭⠢⠼⠉⠜⠐⠖⠼⠉

Example 8

y2-y
⠽⠰⠢⠼⠃⠐⠤⠽

Example 9

B12
⠠⠃⠰⠢⠼⠁⠃

Example 10

CO2
⠠⠠⠉⠕⠰⠢⠼⠃

Example 11

x1+x2
⠰⠰⠭⠢⠼⠁⠐⠖⠭⠢⠼⠃

Example 12

yx2
⠰⠰⠽⠢⠣⠭⠔⠼⠃⠜

Example 13

a12
⠰⠰⠁⠢⠣⠼⠁⠔⠼⠃⠜

Example 14

nx
⠰⠢⠭⠝

Example 15

x2
⠰⠢⠼⠃⠭

Example 16

[a11a12a21a22]
⠰⠰⠰⠠⠨⠣⠁⠢⠼⠁⠁⠀⠁⠢⠼⠁⠃⠠⠨⠜
⠀⠀⠀⠠⠨⠣⠁⠢⠼⠃⠁⠀⠁⠢⠼⠃⠃⠠⠨⠜⠰⠄

previous - next (exercises)