Maintenance script: Automated internal link correction

2016-02-24T23:21:56Z

Automated internal link correction

← Older revision		Revision as of 23:21, 24 February 2016
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	The ''i'' symbol is short for √(-1), and is used for complex numbers in algebra and complex analysis. On the calculator, entering ''i'' will not cause an error, even in [[TI-BASIC:Real_Mode\|Real]] mode, but operations that result in a complex number (such as taking the square root of a negative number) will. If you're dealing with complex numbers, then, it's best to switch to [[TI-BASIC:~~A+bi~~\|A+bi]] or [[TI-BASIC:Re_Thetai\|re^θi]] mode.		The ''i'' symbol is short for √(-1), and is used for complex numbers in algebra and complex analysis. On the calculator, entering ''i'' will not cause an error, even in [[TI-BASIC:Real_Mode\|Real]] mode, but operations that result in a complex number (such as taking the square root of a negative number) will. If you're dealing with complex numbers, then, it's best to switch to [[TI-BASIC:A_Bi\|A+bi]] or [[TI-BASIC:Re_Thetai\|re^θi]] mode.

	= Advanced Uses =		= Advanced Uses =
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	* [[TI-BASIC:Pi\|π]]		* [[TI-BASIC:Pi\|π]]
	* ''[[TI-BASIC:E\|E]]''		* ''[[TI-BASIC:E\|E]]''
	* [[TI-BASIC:Real_Mode\|Real]], [[TI-BASIC:~~A+bi~~\|A+bi]], and [[TI-BASIC:Re_Thetai\|re^θi]]		* [[TI-BASIC:Real_Mode\|Real]], [[TI-BASIC:A_Bi\|A+bi]], and [[TI-BASIC:Re_Thetai\|re^θi]]

	= See Also =		= See Also =

Maintenance script: Initial automated import

2016-02-24T18:27:31Z

Initial automated import

New page

{{Template:TI-BASIC:Command
|picture=I.PNG
|summary=The mathematical symbol ''i'', short for √(-1).
|syntax=''i''

To enter a complex number:

''real-part''+''imag-part i''
|location=Press 2nd ''i'' to paste ''i''.
|compatibility=TI-83/84/+/SE
|size=1 byte
}}

The ''i'' symbol is short for √(-1), and is used for complex numbers in algebra and complex analysis. On the calculator, entering ''i'' will not cause an error, even in [[TI-BASIC:Real_Mode|Real]] mode, but operations that result in a complex number (such as taking the square root of a negative number) will. If you're dealing with complex numbers, then, it's best to switch to [[TI-BASIC:A+bi|A+bi]] or [[TI-BASIC:Re_Thetai|re^θi]] mode.

= Advanced Uses =

By using ''i'' in a calculation, the calculator switches to complex number mode to do it, even if in [[TI-BASIC:Real_Mode|Real]] mode. So √(-1) will throw an [[TI-BASIC:Errors#nonrealans|ERR:NONREAL ANS]], but √(0''i''-1) will not (even though it's the same number). This can be used to force calculations to be done using complex numbers regardless of the mode setting -- usually by adding or subtracting 0''i'', although more clever ways can be found.

A good example of this technique is our [[TI-BASIC:Quadratic_Formula|Quadratic_Formula]] routine.

= Related Commands =

* [[TI-BASIC:Pi|π]]
* ''[[TI-BASIC:E|E]]''
* [[TI-BASIC:Real_Mode|Real]], [[TI-BASIC:A+bi|A+bi]], and [[TI-BASIC:Re_Thetai|re^θi]]

= See Also =

* [[TI-BASIC:Quadratic_Formula|Quadratic_Formula]][[Category:TI-BASIC]]
[[Category:TIBD]]

TI-BASIC:I - Revision history

Maintenance script: Automated internal link correction

Maintenance script: Initial automated import