Mathematical functions are represented in Maple as operators. There are various methods for entering a function: by using a template from the Expression palette, by using Maple's operator syntax directly, or by converting an existing expression into an operator.
Before you proceed, be sure to familiarize yourself with entering simple mathematical expressions. Open a new worksheet in Document mode, and ensure that you are in Math mode.

Using a Template From the Expression Palette


Follow the steps below to enter the operator $x\to {x}^{2}1$ and assign it to a variable whose name is $f$.
Step

Description

Illustration

1

Select the ${f}:={a}\to {y}$ template from the Expression palette. The green placeholder ${f}$ is selected automatically.


2

Type $f$, overwriting the green ${f}$.


3

Move the cursor among placeholders by pressing Tab. The ${a}$ is selected as you do so. Type $x$.


4

Press Tab to select the final placeholder ${y}$. To type ${x}^{2}$, first type $x$. Press Shift + ^ to bring the cursor into the exponent position and type $2$.


5

To bring the cursor back onto the base line, press the right arrow (→) key on your keyboard.


6

Type . There is no need to type a space, as Maple automatically adjusts spacing for you. Type $1$.


7

Press Enter to execute the statement. Maple displays and labels the result of an executed statement on a new line. (For more information, see the How do I topic on evaluating expressions.)


8

To see what $f$ does, enter $f\left(1\right)$ and press Ctrl + = to evaluate it inline. As you can see, Maple evaluates the expression ${x}^{2}1$ at $x\=1$, which yields ${1}^{2}1\=0$.




When Working with Templates From the Palettes, Keep These Tips in Mind:
•

If you accidentally move the cursor outside a template, simply move the cursor back into the template and press Tab to move to the next placeholder.

•

Use Shift + Tab to move back to the previous placeholder, if you have not overwritten it yet.



Using Maple's Operator Syntax


Follow the steps below to enter $x\to {x}^{2}1$ and assign it to a variable whose name is $f$.
Step

Description

Illustration

1

Type $f$, followed by a colon (:) and an equal sign (=). The colonequals notation assigns the content on the righthand side to a variable name on the lefthand side.


2

Type $x$. This is the name of the independent variable. To type the arrow, first type a minus sign , then the right angule bracket (>). Maple automatically converts these characters to an arrow.
Tip: ">" looks like a right arrow.


3

Type ${x}^{2}1$. For detailed instructions, see steps 4 to 6 of the example shown earlier.


4

Press Enter to execute the statement. Maple displays and labels the result of an executed statement in a new line. (For more information, see the How do I topic on evaluating expressions.)


5

To see what $f$ does, enter $f\left(1\right)$ and press Ctrl + = to evaluate it inline. As you can see, Maple evaluates the expression ${x}^{2}1$ at $x\=1$, which yields ${1}^{2}1\=0$.






Converting an Existing Expression Into an Operator


Suppose the expression ${x}^{2}1$ has already been typed. Follow the steps below to convert it to the operator $x\to {x}^{2}1$ and assign the result to a variable whose name is $f$.
Step

Description

Illustration

1

Rightclick any part of the expression (within the dotted outline). A contextsensitive menu is displayed. For more information, see the ContextSensitive Menus subsection of the How Do I help page.


2

Select Conversions > Operator > $\mathit{x}$. Maple will convert the expression to an operator of $x$.


3

Rightclick any part of the blue output; in the contextsensitive menu that appears, select Assign to a Name.


4

A dialogue box appears; enter the name $f$. Click OK.


5

To see what $f$ does, enter $f\left(1\right)$ and press Ctrl + = to evaluate it inline. As you can see, Maple evaluates the expression ${x}^{2}1$ at $x\=1$, which yields ${1}^{2}1\=0$.





Note for nonWindows users: The keystrokes given in this document are for Windows. There will be differences for other platforms. If you are using a different platform, see Help>Quick Help for the list of the most common keystrokes.