# Examples of Physics Notation with physPad®

The following examples illustrate entry of some common expressions.

Expression

Do this

To display this

An expression with numbers and subscripted variables

1. Type 1/2 and press
2. Type m_2 and press
3. Type +4m_3

$\frac{1}{2}{m}_{2}+4{m}_{3}$

Set notation with fractions

1. Type (1/9 and press
2. Type ,2/7 and press
3. Type ,3/5
$\left(\frac{1}{9},\frac{2}{7},\frac{3}{5}\right)$

A square root

1. Type sqrt

The square root symbol is created.

2. Type gh

$\sqrt{gh}$

A cube root

1. Click Operations >
2. Type 3 and press
3. Type m_1 and press
4. Type m_2 and press
5. Type m_3 and press

$\sqrt[3]{{m}_{1}{m}_{2}{m}_{3}}$

An expression involving Euler's number

1. Click Operations >
2. Type 2

${\mathbit{e}}^{2}$

The natural logarithm of an absolute value

1. Type ln

A set of parentheses is automatically added and your insertion point is put in the parentheses.

2. Type |x

The closing vertical bar is automatically added.

$\mathrm{ln}\left(\left|x\right|\right)$

An inverse sine

1. Type sin

A set of parentheses is automatically added and your insertion point is put in the parentheses.

2. Press and type ^-1
3. Press and type x

Although you could type arcsin or use the tool button, this example illustrates how you can enter certain functions using the keyboard alone.

${\mathrm{sin}}^{-1}\left(x\right)$

An expression involving hbar (ħ)

1. Type 3
2. Click Symbols >
3. Type ^2

$3{ħ}^{2}$

A vector in hatted i-j-k form

1. Type 5
2. Click Vectors >
3. Type i and press
4. Type +24
5. Click Vectors >
6. Type j and press
7. Type +4
8. Click Vectors >
9. Type k

$5\stackrel{^}{ı}+24\stackrel{^}{ȷ}+4\stackrel{^}{k}$

A vector in vector bracket form

1. Click Vectors >
2. Type 12, 15, 22

$⟨12,15,22⟩$

A vector in bold i-j-k form

1. Type 5
2. Click Vectors >
3. Type +24
4. Click Vectors >
5. Type +4
6. Click Vectors >

$5\mathbf{i}+24\mathbf{j}+4\mathbf{k}$