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	<id>https://wiki.zcubes.com/index.php?action=history&amp;feed=atom&amp;title=Manuals%2Fcalci%2FIMPRODUCTTWO</id>
	<title>Manuals/calci/IMPRODUCTTWO - Revision history</title>
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	<updated>2026-04-27T23:51:00Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://wiki.zcubes.com/index.php?title=Manuals/calci/IMPRODUCTTWO&amp;diff=210672&amp;oldid=prev</id>
		<title>Devika at 22:04, 16 July 2018</title>
		<link rel="alternate" type="text/html" href="https://wiki.zcubes.com/index.php?title=Manuals/calci/IMPRODUCTTWO&amp;diff=210672&amp;oldid=prev"/>
		<updated>2018-07-16T22:04:05Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 22:04, 16 July 2018&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot; &gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;div style=&amp;quot;font-size:30px&amp;quot;&amp;gt;'''IMPRODUCTTWO(Complexnumber1,Complexnumber2)'''&amp;lt;/div&amp;gt;&amp;lt;br/&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;div style=&amp;quot;font-size:30px&amp;quot;&amp;gt;'''IMPRODUCTTWO(Complexnumber1,Complexnumber2)'''&amp;lt;/div&amp;gt;&amp;lt;br/&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;math&amp;gt;Complexnumber1 &amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;Complexnumber2&amp;lt;/math&amp;gt; are two complex numbers of the form &amp;lt;math&amp;gt;z=a+ib&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;math&amp;gt;Complexnumber1 &amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;Complexnumber2&amp;lt;/math&amp;gt; are two complex numbers of the form &amp;lt;math&amp;gt;z=a+ib&amp;lt;/math&amp;gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;**IMPRODUCTTWO(),returns the product of two complex numbers.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;   &lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;   &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Description==&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Description==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Devika</name></author>
	</entry>
	<entry>
		<id>https://wiki.zcubes.com/index.php?title=Manuals/calci/IMPRODUCTTWO&amp;diff=210671&amp;oldid=prev</id>
		<title>Devika at 22:03, 16 July 2018</title>
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		<updated>2018-07-16T22:03:10Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 22:03, 16 July 2018&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot; &gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;div style=&amp;quot;font-size:30px&amp;quot;&amp;gt;'''IMPRODUCTTWO(Complexnumber1,Complexnumber2)'''&amp;lt;/div&amp;gt;&amp;lt;br/&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;div style=&amp;quot;font-size:30px&amp;quot;&amp;gt;'''IMPRODUCTTWO(Complexnumber1,Complexnumber2)'''&amp;lt;/div&amp;gt;&amp;lt;br/&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;math&amp;gt;Complexnumber1 &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;,&lt;/del&gt;Complexnumber2&amp;lt;/math&amp;gt; are two complex numbers of the form &amp;lt;math&amp;gt;z=a+ib&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*&amp;lt;math&amp;gt;Complexnumber1 &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;&lt;/ins&gt;Complexnumber2&amp;lt;/math&amp;gt; are two complex numbers of the form &amp;lt;math&amp;gt;z=a+ib&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;   &lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;   &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Description==&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Description==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Devika</name></author>
	</entry>
	<entry>
		<id>https://wiki.zcubes.com/index.php?title=Manuals/calci/IMPRODUCTTWO&amp;diff=207747&amp;oldid=prev</id>
		<title>Swapna: Created page with &quot;&lt;div style=&quot;font-size:30px&quot;&gt;'''IMPRODUCTTWO(Complexnumber1,Complexnumber2)'''&lt;/div&gt;&lt;br/&gt; *&lt;math&gt;Complexnumber1 ,Complexnumber2&lt;/math&gt; are two complex numbers of the form &lt;math...&quot;</title>
		<link rel="alternate" type="text/html" href="https://wiki.zcubes.com/index.php?title=Manuals/calci/IMPRODUCTTWO&amp;diff=207747&amp;oldid=prev"/>
		<updated>2017-04-19T08:56:53Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;&amp;lt;div style=&amp;quot;font-size:30px&amp;quot;&amp;gt;&amp;#039;&amp;#039;&amp;#039;IMPRODUCTTWO(Complexnumber1,Complexnumber2)&amp;#039;&amp;#039;&amp;#039;&amp;lt;/div&amp;gt;&amp;lt;br/&amp;gt; *&amp;lt;math&amp;gt;Complexnumber1 ,Complexnumber2&amp;lt;/math&amp;gt; are two complex numbers of the form &amp;lt;math...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;lt;div style=&amp;quot;font-size:30px&amp;quot;&amp;gt;'''IMPRODUCTTWO(Complexnumber1,Complexnumber2)'''&amp;lt;/div&amp;gt;&amp;lt;br/&amp;gt;&lt;br /&gt;
*&amp;lt;math&amp;gt;Complexnumber1 ,Complexnumber2&amp;lt;/math&amp;gt; are two complex numbers of the form &amp;lt;math&amp;gt;z=a+ib&amp;lt;/math&amp;gt;&lt;br /&gt;
 &lt;br /&gt;
==Description==&lt;br /&gt;
*This function gives the product of two complex numbers. &lt;br /&gt;
*Complex number is indicated as &amp;lt;math&amp;gt;z=a+ib&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt; a &amp;lt;/math&amp;gt; &amp;amp; &amp;lt;math&amp;gt; b &amp;lt;/math&amp;gt; are the real numbers, and &amp;lt;math&amp;gt;i&amp;lt;/math&amp;gt; is the imaginary unit. &amp;lt;math&amp;gt;i=\sqrt{-1}&amp;lt;/math&amp;gt;.&lt;br /&gt;
*In this function &amp;lt;math&amp;gt;Complexnumber1&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;Complexnumber2&amp;lt;/math&amp;gt; are compulsory arguments.&lt;br /&gt;
*The multiplication of two complex numbers is a complex number.&lt;br /&gt;
*Let &amp;lt;math&amp;gt;z1=a+ib&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;z2=c+id&amp;lt;/math&amp;gt;. Then the product of two complex numbers is &amp;lt;math&amp;gt;z1.z2=(a+ib)(c+id)=(ac-bd)+(ad+bc)i&amp;lt;/math&amp;gt;. &lt;br /&gt;
*We can use [[Manuals/calci/COMPLEX| COMPLEX]] function to convert real and imaginary number in to a complex number.&lt;br /&gt;
&lt;br /&gt;
==ZOS==&lt;br /&gt;
*The syntax is to calculate product of the complex numbers in ZOS is &amp;lt;math&amp;gt;IMPRODUCTTWO(Complexnumber1,Complexnumber2)&amp;lt;/math&amp;gt;&lt;br /&gt;
**&amp;lt;math&amp;gt;Complexnumber1 ,Complexnumber2&amp;lt;/math&amp;gt; are two complex numbers of the form &amp;lt;math&amp;gt;z=a+ib&amp;lt;/math&amp;gt;&lt;br /&gt;
*For e.g., IMPRODUCTTWO(&amp;quot;2+3i&amp;quot;,&amp;quot;4+5i&amp;quot;)&lt;br /&gt;
&lt;br /&gt;
{{#ev:youtube|TWYVYlQWIoc|280|center|Improduct}}&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
#=IMPRODUCTTWO(&amp;quot;1+3i&amp;quot;,&amp;quot;5+5i&amp;quot;) = -10+20i&lt;br /&gt;
#=IMPRODUCTTWO(&amp;quot;i&amp;quot;,&amp;quot;3-i&amp;quot;) = 1+3i&lt;br /&gt;
#=IMPRODUCTTWO(&amp;quot;5&amp;quot;,&amp;quot;-2+4i&amp;quot;) = -10+20i&lt;br /&gt;
#=IMPRODUCTTWO(&amp;quot;2+3i&amp;quot;,&amp;quot;4+6i&amp;quot;,&amp;quot;3+5i&amp;quot;) = -10+24i&lt;br /&gt;
#=IMPRODUCTTWO(&amp;quot;-6-2i&amp;quot;,&amp;quot;-1-i&amp;quot;,&amp;quot;5+6i&amp;quot;) = 4+8i&lt;br /&gt;
&lt;br /&gt;
==Related Videos==&lt;br /&gt;
&lt;br /&gt;
{{#ev:youtube|cWn6g8Qqvs4|280|center|IMPRODUCT}}&lt;br /&gt;
&lt;br /&gt;
==See Also==&lt;br /&gt;
&lt;br /&gt;
*[[Manuals/calci/IMSUMTWO  | IMSUMTWO ]]&lt;br /&gt;
*[[Manuals/calci/IMREAL  | IMREAL ]]&lt;br /&gt;
*[[Manuals/calci/IMSUM  | IMSUM ]]&lt;br /&gt;
*[[Manuals/calci/IMAGINARY  | IMAGINARY ]]&lt;br /&gt;
*[[Manuals/calci/COMPLEX  | COMPLEX ]]&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
*[http://en.wikipedia.org/wiki/Imaginary_number  Imaginary number]&lt;br /&gt;
*[http://en.wikipedia.org/wiki/Dot_product  Dot product]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
*[[Z_API_Functions | List of Main Z Functions]]&lt;br /&gt;
&lt;br /&gt;
*[[ Z3 |   Z3 home ]]&lt;/div&gt;</summary>
		<author><name>Swapna</name></author>
	</entry>
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