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	<id>http://learn.cemetech.net/index.php?action=history&amp;feed=atom&amp;title=TI-BASIC%3AMath_One_Liners</id>
	<title>TI-BASIC:Math One Liners - Revision history</title>
	<link rel="self" type="application/atom+xml" href="http://learn.cemetech.net/index.php?action=history&amp;feed=atom&amp;title=TI-BASIC%3AMath_One_Liners"/>
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	<updated>2026-06-03T11:45:51Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.43.3</generator>
	<entry>
		<id>http://learn.cemetech.net/index.php?title=TI-BASIC:Math_One_Liners&amp;diff=1494&amp;oldid=prev</id>
		<title>Maintenance script: Automated superscript correction</title>
		<link rel="alternate" type="text/html" href="http://learn.cemetech.net/index.php?title=TI-BASIC:Math_One_Liners&amp;diff=1494&amp;oldid=prev"/>
		<updated>2016-02-24T22:25:55Z</updated>

		<summary type="html">&lt;p&gt;Automated superscript correction&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&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;
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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 22:25, 24 February 2016&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-l4&quot;&gt;Line 4:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 4:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&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;#039;&amp;#039;&amp;#039;Primality of Positive Integer&amp;#039;&amp;#039;&amp;#039; – jonbush; lirtosiast&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&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;#039;&amp;#039;&amp;#039;Primality of Positive Integer&amp;#039;&amp;#039;&amp;#039; – jonbush; lirtosiast&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&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;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&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;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&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;This routine works for 3≤X&amp;lt;10&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^^&lt;/del&gt;6&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^^ &lt;/del&gt;and returns 0 if X is composite, and 1 if X is prime.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&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;This routine works for 3≤X&amp;lt;10&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;sup&amp;gt;&lt;/ins&gt;6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/sup&amp;gt; &lt;/ins&gt;and returns 0 if X is composite, and 1 if X is prime.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&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;If used in an If statement or place where the true value does not matter, you can remove the 0≠.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&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;If used in an If statement or place where the true value does not matter, you can remove the 0≠.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&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;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&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;br&gt;&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-l11&quot;&gt;Line 11:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 11:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&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;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&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;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&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;  min(remainder(X,seq(A,A,3,1+√(X),2&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&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;  min(remainder(X,seq(A,A,3,1+√(X),2&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&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;  The following code is faster for large or even X, and works for all 0≤X&amp;lt;3.99*10&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^^&lt;/del&gt;6&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^^&lt;/del&gt;.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&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;  The following code is faster for large or even X, and works for all 0≤X&amp;lt;3.99*10&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;sup&amp;gt;&lt;/ins&gt;6&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/sup&amp;gt;&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&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;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&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;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&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;  min(X={2,3,5&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&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;  min(X={2,3,5&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Maintenance script</name></author>
	</entry>
	<entry>
		<id>http://learn.cemetech.net/index.php?title=TI-BASIC:Math_One_Liners&amp;diff=1193&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:Math_One_Liners&amp;diff=1193&amp;oldid=prev"/>
		<updated>2016-02-24T18:39:26Z</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;This page is dedicated to showcase small snippets of code that may be useful. These small routines are designed to accomplish tasks involving mathematics. Unless specified, output is in Ans.&lt;br /&gt;
&lt;br /&gt;
------&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Primality of Positive Integer&amp;#039;&amp;#039;&amp;#039; – jonbush; lirtosiast&lt;br /&gt;
&lt;br /&gt;
This routine works for 3≤X&amp;lt;10^^6^^ and returns 0 if X is composite, and 1 if X is prime.&lt;br /&gt;
If used in an If statement or place where the true value does not matter, you can remove the 0≠.&lt;br /&gt;
&lt;br /&gt;
 min(remainder(X,seq(A,A,2,1+√(X&lt;br /&gt;
 This code can be modified to be faster if X is already known to be odd.&lt;br /&gt;
&lt;br /&gt;
 min(remainder(X,seq(A,A,3,1+√(X),2&lt;br /&gt;
 The following code is faster for large or even X, and works for all 0≤X&amp;lt;3.99*10^^6^^.&lt;br /&gt;
&lt;br /&gt;
 min(X={2,3,5&lt;br /&gt;
 If X≥7 and fPart(.5X&lt;br /&gt;
 min(remainder(X,3+2cumSum(not(binompdf(int(.5√(X)),0&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Euler&amp;#039;s Phi Function&amp;#039;&amp;#039;&amp;#039; – kg583&lt;br /&gt;
&lt;br /&gt;
This routine calculates the value of [http://en.wikipedia.org/wiki/Euler%27s_totient_function Euler&amp;#039;s Phi Function] for any integer X&amp;gt;3.&lt;br /&gt;
&lt;br /&gt;
 2+sum(seq(gcd(X,A)=1,A,2,X-2&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Number of Factors&amp;#039;&amp;#039;&amp;#039; – kg583&lt;br /&gt;
&lt;br /&gt;
This routine calculates the number of factors for any integer X&amp;gt;2. A factor is any integer can divide X with no remainder (including 1 and X).&lt;br /&gt;
&lt;br /&gt;
 Xmean(seq(not(remainder(X,A),A,1,X[[Category:TI-BASIC]]&lt;br /&gt;
[[Category:TIBD]]&lt;/div&gt;</summary>
		<author><name>Maintenance script</name></author>
	</entry>
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