# Examples of Math Notation with calcPad®

The following examples illustrate entry of some common expressions.

Expression

Do this

To display this

A simple expression with integers

Type 2x+52500

$2x+52500$

A polynomial with a fractional coefficient

1. Type 1/2 and press
2. Type x^2 and press
3. Type +4x+2

$\frac{1}{2}{x}^{2}+4x+2$

A simple inequality

Type x>=-4

$x\ge -4$

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 x

$\sqrt{x}$

A cube root

1. Click Functions >
2. Type 3 and press
3. Type x

$\sqrt[3]{x}$

An expression involving pi and Euler's number

1. Type pi+
2. Click Functions >
3. Type 2

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

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.

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

A complex number

1. Type 2+3
2. Click Symbols >

$2+3\mathbit{i}$

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 >

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