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	<title>TI-BASIC:Conj - Revision history</title>
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	<updated>2026-04-19T00:33:29Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>http://learn.cemetech.net/index.php?title=TI-BASIC:Conj&amp;diff=457&amp;oldid=prev</id>
		<title>Maintenance script: Initial automated import</title>
		<link rel="alternate" type="text/html" href="http://learn.cemetech.net/index.php?title=TI-BASIC:Conj&amp;diff=457&amp;oldid=prev"/>
		<updated>2016-02-24T18:02:27Z</updated>

		<summary type="html">&lt;p&gt;Initial automated import&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Template:TI-BASIC:Command&lt;br /&gt;
|picture=CONJ.GIF&lt;br /&gt;
|summary=Calculates the complex conjugate of a complex number.&lt;br /&gt;
|syntax=conj(&amp;#039;&amp;#039;value&amp;#039;&amp;#039;)&lt;br /&gt;
|location=Press:&lt;br /&gt;
# MATH to access the [[TI-BASIC:Math|Math]] menu.&lt;br /&gt;
# RIGHT, RIGHT to access the CPX (complex) submenu&lt;br /&gt;
# ENTER to select conj(.&lt;br /&gt;
|compatibility=TI-83/84/+/SE&lt;br /&gt;
|size=2 bytes&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
conj(&amp;#039;&amp;#039;z&amp;#039;&amp;#039;) returns the complex conjugate of the complex number &amp;#039;&amp;#039;z&amp;#039;&amp;#039;. If &amp;#039;&amp;#039;z&amp;#039;&amp;#039; is represented as &amp;#039;&amp;#039;x&amp;#039;&amp;#039;+i&amp;#039;&amp;#039;y&amp;#039;&amp;#039; where &amp;#039;&amp;#039;x&amp;#039;&amp;#039; and &amp;#039;&amp;#039;y&amp;#039;&amp;#039; are both real, conj(&amp;#039;&amp;#039;z&amp;#039;&amp;#039;) returns &amp;#039;&amp;#039;x&amp;#039;&amp;#039;-i&amp;#039;&amp;#039;y&amp;#039;&amp;#039;. Also works on a list of complex numbers.&lt;br /&gt;
&lt;br /&gt;
 conj(3+4i)&lt;br /&gt;
      3-4i&lt;br /&gt;
&lt;br /&gt;
The conjugate of a number &amp;lt;math&amp;gt;z&amp;lt;/math&amp;gt; is often written &amp;lt;math&amp;gt;\overline{z}&amp;lt;/math&amp;gt;, and is useful because it has the property that &amp;lt;math&amp;gt;z\overline{z}&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;z+\overline{z}&amp;lt;/math&amp;gt; are real numbers.&lt;br /&gt;
&lt;br /&gt;
= Related Commands =&lt;br /&gt;
&lt;br /&gt;
* [[TI-BASIC:Abs|Abs(]]&lt;br /&gt;
* [[TI-BASIC:Angle|Angle(]]&lt;br /&gt;
* [[TI-BASIC:Real_Func|real(]]&lt;br /&gt;
* [[TI-BASIC:Imag|Imag(]][[Category:TI-BASIC]]&lt;br /&gt;
[[Category:TIBD]]&lt;/div&gt;</summary>
		<author><name>Maintenance script</name></author>
	</entry>
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