| Property | Value |
|---|---|
| Hex Value | $BB4F |
| Categories | |
| Localizations |
|
a+b𝑖
Overview
Sets the mode to rectangular complex number format (a+bi).
Availability: Token only available from within the Basic editor.
Syntax
a+bi
Arguments
| Name | Type | Optional |
|---|---|---|
| i |
Location
mode, a+b, 𝑖
Description
The a+b𝑖 command puts the calculator into rectangular complex number mode. This means that:
- Taking square roots of negative numbers, and similar operations, no longer returns an error.
- Complex results are displayed in the form a+b𝑖 (hence the name of the command)
This is the standard way of displaying complex numbers, though they can also be displayed in polar form (see r𝑒^θ𝑖 for more details). To extract the coefficients a and b, use the real( and imag( commands.
Advanced Uses
Rather than switch to a+b𝑖 mode, you might want to force the calculations to use complex numbers by making the original argument complex. The general way to do this is by adding +0𝑖 to the number. However, there may be an optimization in any particular case. See the quadratic formula routine for a good example of this.
Real
Done
√(-1)
(causes an error)
√(-1+0i)
i
Related Commands
See Also
Source: parts of this page were written by the following TI|BD contributors: burr, DarkerLine, GoVegan, Myles_Zadok, Trenly.
History
| Calculator | OS Version | Description |
|---|---|---|
| TI-83 | 0.01013 | Added |
Created: February 23, 2023 23:15:01