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How Do I

 Enter a Complex Number?

In Maple, the default representation of the imaginary unit $\sqrt{-1}$ is I. Thus,  is a complex number in Maple. The example below demonstrates two ways to enter a complex number in Maple.

Maple provides a way to customize the manner in which complex numbers are displayed. For instance, you may want to use i or j as the imaginary unit instead of I.

Example: Multiply Two Complex Numbers

Maple uses $I$ for the constant $\sqrt{-1}$. Multiply   by   and display the result inline.

 Step Description Illustration 1 Type . Put a space between 2 and $I$  to signify multiplication. (Alternatively, use * for multiplication.) 2 Enter a space (or *) and then type . 3 Press Ctrl + = to evaluate the expression inline. Using the Palette You can also enter complex numbers using the Common Symbols palette. From the palette, the symbols $i$, $ȷ$, and $I$ can all be used to enter a complex number.   Note that simply typing $i$ will not produce the imaginary unit, but typing $I$ will.

When you type the letter i or j in Maple, it is understood as the name i or j. Only I is an initially known constant. This means:

 • You can use i or j as variables. For instance, as the index in expressions such as $\mathrm{seq}\left({i}^{2},i=1..5\right)$ = ${1}{,}{4}{,}{9}{,}{16}{,}{25}$.
 • Typing $I$ results in the imaginary constant. Thus, ${I}^{2}$ = ${-}{1}$.
 • From the Common Symbols palette: $i$, $ȷ$, and $I$ all mean the imaginary constant.
 • Results are displayed using I for the constant $\sqrt{-1}$. For example, ${x}^{2}+1=0$$\stackrel{\text{solve}}{\to }$$\left\{{x}{=}{I}\right\}{,}\left\{{x}{=}{-}{I}\right\}$.

Using a Different Symbol for the Imaginary Unit

You can customize the setting that specifies which symbol represents the imaginary unit. This will enable you to simply type this symbol to get $\sqrt{-1}$. Furthermore, ordinarily in output the imaginary unit is displayed with a capital I, no matter which symbol was used for input. By changing this setting, you change the output display.

 Step Description Illustration 1 To change the symbol used for the imaginary unit, (both for input and output), use the interface command. The calling sequence is interface(imaginaryunit=symbol);   Here, we set $j$ to be the symbol for the imaginary unit. 2 Thereafter, clicking on $i$, $ȷ$, or $I$ in the Common Symbols palette, or typing the letter $j,$will produce the imaginary unit, and its symbol as displayed in any output will be $ȷ$. From the palette: By typing:   In computations: 

 Related Topics The How Do I... topics cover the essentials for doing mathematics in Maple. Learn more about available tools and features, such as palettes and context-sensitive menus. Refer to Help>Quick Reference for basic Getting Started tips.