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	<id>http://wiki.zcubes.com/index.php?action=history&amp;feed=atom&amp;title=ZCubes%2FZ_Programming_and_Combinatorial_Arguments</id>
	<title>ZCubes/Z Programming and Combinatorial Arguments - Revision history</title>
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	<link rel="alternate" type="text/html" href="http://wiki.zcubes.com/index.php?title=ZCubes/Z_Programming_and_Combinatorial_Arguments&amp;action=history"/>
	<updated>2026-06-27T03:32:50Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>http://wiki.zcubes.com/index.php?title=ZCubes/Z_Programming_and_Combinatorial_Arguments&amp;diff=216147&amp;oldid=prev</id>
		<title>Jayaram: /* Examples */</title>
		<link rel="alternate" type="text/html" href="http://wiki.zcubes.com/index.php?title=ZCubes/Z_Programming_and_Combinatorial_Arguments&amp;diff=216147&amp;oldid=prev"/>
		<updated>2021-03-11T06:24:12Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Examples&lt;/span&gt;&lt;/span&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;
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				&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 06:24, 11 March 2021&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-l74&quot; &gt;Line 74:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 74:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&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;/td&gt;&lt;td class=&#039;diff-marker&#039;&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;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&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;/td&gt;&lt;td class=&#039;diff-marker&#039;&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;/td&gt;&lt;/tr&gt;
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&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&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;amp;copy; Copyright 1996-&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;2020&lt;/del&gt;, ZCubes, Inc.&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&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;*[[Z3 | Z3 home]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&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;&amp;lt;br/&amp;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=&#039;diff-marker&#039;&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;&amp;lt;br/&amp;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=&#039;diff-marker&#039;&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;amp;copy; Copyright 1996-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;2021&lt;/ins&gt;, ZCubes, Inc.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Jayaram</name></author>
	</entry>
	<entry>
		<id>http://wiki.zcubes.com/index.php?title=ZCubes/Z_Programming_and_Combinatorial_Arguments&amp;diff=213248&amp;oldid=prev</id>
		<title>Jayaram: /* Video */</title>
		<link rel="alternate" type="text/html" href="http://wiki.zcubes.com/index.php?title=ZCubes/Z_Programming_and_Combinatorial_Arguments&amp;diff=213248&amp;oldid=prev"/>
		<updated>2020-03-23T07:57:34Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Video&lt;/span&gt;&lt;/span&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;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 07:57, 23 March 2020&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-l7&quot; &gt;Line 7:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 7:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&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;{{#ev:youtube|sH8X4M7d5WU|480|left|Z Programming and Combinatorial Arguments}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&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;{{#ev:youtube|sH8X4M7d5WU|480|left|Z Programming and Combinatorial Arguments}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&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;br/&amp;gt;&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&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;br/&amp;gt;&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&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;/td&gt;&lt;td class=&#039;diff-marker&#039;&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;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&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;==Examples==&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&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;==Examples==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Jayaram</name></author>
	</entry>
	<entry>
		<id>http://wiki.zcubes.com/index.php?title=ZCubes/Z_Programming_and_Combinatorial_Arguments&amp;diff=213135&amp;oldid=prev</id>
		<title>Jayaram: Created page with &quot;==Z Programming and Combinatorial Arguments== &lt;br/&gt; This video demonstrates how to enable functions to be able to process arrays of values, instead of single value arguments....&quot;</title>
		<link rel="alternate" type="text/html" href="http://wiki.zcubes.com/index.php?title=ZCubes/Z_Programming_and_Combinatorial_Arguments&amp;diff=213135&amp;oldid=prev"/>
		<updated>2020-03-12T06:42:01Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;==Z Programming and Combinatorial Arguments== &amp;lt;br/&amp;gt; This video demonstrates how to enable functions to be able to process arrays of values, instead of single value arguments....&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;==Z Programming and Combinatorial Arguments==&lt;br /&gt;
&amp;lt;br/&amp;gt;&lt;br /&gt;
This video demonstrates how to enable functions to be able to process arrays of values, instead of single value arguments. Using the ‘arrayfy’ feature, the function that handles a set of parameters can handle a range of values for each parameter. This powerful feature of handling &amp;#039;combinatorial arguments&amp;#039; opens up the possibility of evaluating functions for wide range of values without any changes to the function code.&lt;br /&gt;
&lt;br /&gt;
==Video==&lt;br /&gt;
&amp;lt;br/&amp;gt;&lt;br /&gt;
{{#ev:youtube|sH8X4M7d5WU|480|left|Z Programming and Combinatorial Arguments}}&lt;br /&gt;
&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;&amp;lt;br/&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
Finding velocity : Final velocity (v) of an object equals initial velocity (u) of that object plus acceleration (a) of the object times the elapsed time (t) from u to v. For standard gravity, a = 9.80665 m/s2.&lt;br /&gt;
&lt;br /&gt;
1. To find the final velocity (V), use the ZCubes code as-&lt;br /&gt;
&amp;lt;br/&amp;gt;&lt;br /&gt;
v := u+a*t;&lt;br /&gt;
&amp;lt;br/&amp;gt;&lt;br /&gt;
v(1,9.8,1)&lt;br /&gt;
&lt;br /&gt;
displays the result as &amp;#039;&amp;#039;10.8&amp;#039;&amp;#039;.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
2. To find the final velocity(V) for array of values of &amp;#039;t&amp;#039; from 1 to 30, use the following ZCubes code as-&lt;br /&gt;
&amp;lt;br/&amp;gt;&lt;br /&gt;
V := u+a*t;&lt;br /&gt;
&amp;lt;br/&amp;gt;&lt;br /&gt;
V arr;               //typing arr and pressing Shift+Space key gives an character &amp;#039;#&amp;#039;&lt;br /&gt;
&amp;lt;br/&amp;gt;&lt;br /&gt;
V(1,9.8,1..30)&lt;br /&gt;
&lt;br /&gt;
displays the final velocity values with varying inputs of time as: &lt;br /&gt;
&amp;lt;br/&amp;gt;&lt;br /&gt;
 u      t       V&lt;br /&gt;
9.8  	1 	10.8&lt;br /&gt;
&amp;lt;br/&amp;gt;	9.8	2	20.6&lt;br /&gt;
&amp;lt;br/&amp;gt;	9.8	3	30.400000000000002&lt;br /&gt;
&amp;lt;br/&amp;gt;	9.8	4	40.2&lt;br /&gt;
&amp;lt;br/&amp;gt;	9.8	5	50&lt;br /&gt;
&amp;lt;br/&amp;gt;	9.8	6	59.800000000000004&lt;br /&gt;
&amp;lt;br/&amp;gt;	9.8	7	69.60000000000001&lt;br /&gt;
&amp;lt;br/&amp;gt;   9.8	8	79.4&lt;br /&gt;
&amp;lt;br/&amp;gt;	9.8	9	89.2&lt;br /&gt;
&amp;lt;br/&amp;gt;	9.8	10	99&lt;br /&gt;
&amp;lt;br/&amp;gt;	9.8	11	108.80000000000001&lt;br /&gt;
&amp;lt;br/&amp;gt;	9.8	12	118.60000000000001&lt;br /&gt;
&amp;lt;br/&amp;gt;	9.8	13	128.4&lt;br /&gt;
&amp;lt;br/&amp;gt;	9.8	14	138.20000000000002&lt;br /&gt;
&amp;lt;br/&amp;gt;	9.8	15	148&lt;br /&gt;
&amp;lt;br/&amp;gt;	9.8	16	157.8&lt;br /&gt;
&amp;lt;br/&amp;gt;	9.8	17	167.60000000000002&lt;br /&gt;
&amp;lt;br/&amp;gt;	9.8	18	177.4&lt;br /&gt;
&amp;lt;br/&amp;gt;	9.8	19	187.20000000000002&lt;br /&gt;
&amp;lt;br/&amp;gt;	9.8	20	197&lt;br /&gt;
&amp;lt;br/&amp;gt;	9.8	21	206.8&lt;br /&gt;
&amp;lt;br/&amp;gt;	9.8	22	216.60000000000002&lt;br /&gt;
&amp;lt;br/&amp;gt;	9.8	23	226.4&lt;br /&gt;
&amp;lt;br/&amp;gt;	9.8	24	236.20000000000002&lt;br /&gt;
&amp;lt;br/&amp;gt;   9.8	25	246.00000000000003&lt;br /&gt;
&amp;lt;br/&amp;gt;	9.8	26	255.8&lt;br /&gt;
&amp;lt;br/&amp;gt;	9.8	27	265.6&lt;br /&gt;
&amp;lt;br/&amp;gt;	9.8	28	275.40000000000003&lt;br /&gt;
&amp;lt;br/&amp;gt;	9.8	29	285.20000000000005&lt;br /&gt;
&amp;lt;br/&amp;gt;	9.8	30	295&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
3. To find the final velocity(V) for array of values of &amp;#039;t&amp;#039; and &amp;#039;u&amp;#039; from 1 to 30, use the following ZCubes code as-&lt;br /&gt;
&amp;lt;br/&amp;gt;&lt;br /&gt;
V := u+a*t;&lt;br /&gt;
&amp;lt;br/&amp;gt;&lt;br /&gt;
V arr;               //typing arr and pressing Shift+Space key gives an character &amp;#039;#&amp;#039;&lt;br /&gt;
&amp;lt;br/&amp;gt;&lt;br /&gt;
V(1..30,9.8,1..30)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;&amp;lt;[[Learn_ZCubes | Learn ZCubes ]]&lt;br /&gt;
&amp;lt;br/&amp;gt;&lt;br /&gt;
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		<author><name>Jayaram</name></author>
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