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	<title>Programmer Guide/Command Reference/EVAL/sum - Revision history</title>
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	<updated>2026-05-06T23:35:34Z</updated>
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		<id>https://mediawiki.kfs.oeaw.ac.at/stx/docs/wiki/index.php?title=Programmer_Guide/Command_Reference/EVAL/sum&amp;diff=4101&amp;oldid=prev</id>
		<title>193.171.195.48 at 10:59, 21 April 2011</title>
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		<updated>2011-04-21T10:59:06Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&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 12:59, 21 April 2011&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=&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;{{DISPLAYTITLE:{{SUBPAGENAME}}}}&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;{{DISPLAYTITLE:{{SUBPAGENAME}}}}&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;Calculate the summation over one or more user-defined extents of a vector &amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;. Depending on the number of extents, the result of the function is a vector or a scalar.&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;Calculate the summation over one or more user-defined extents of a vector &amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;. Depending on the number of extents, the result of the function is a vector or a scalar.&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;&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; class=&quot;diff-side-added&quot;&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;;Usage:  &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;;Usage:  &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;:&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;&#039;&lt;/del&gt;&amp;lt;code&amp;gt;sum(&amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;, &amp;lt;var&amp;gt;us&amp;lt;/var&amp;gt;, &amp;lt;var&amp;gt;os&amp;lt;/var&amp;gt;, &amp;lt;var&amp;gt;n&amp;lt;/var&amp;gt;)&amp;lt;/code&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;&#039;&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;:&amp;lt;code&amp;gt;sum(&amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;, &amp;lt;var&amp;gt;us&amp;lt;/var&amp;gt;, &amp;lt;var&amp;gt;os&amp;lt;/var&amp;gt;, &amp;lt;var&amp;gt;n&amp;lt;/var&amp;gt;)&amp;lt;/code&amp;gt;&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;:&#039;&#039;&#039;&amp;lt;code&amp;gt;sum(&amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;, &amp;lt;var&amp;gt;uv&amp;lt;/var&amp;gt;, &amp;lt;var&amp;gt;ov&amp;lt;/var&amp;gt;)&amp;lt;/code&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;&#039;&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;:&#039;&#039;&#039;&amp;lt;code&amp;gt;sum(&amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;, &amp;lt;var&amp;gt;uv&amp;lt;/var&amp;gt;, &amp;lt;var&amp;gt;ov&amp;lt;/var&amp;gt;)&amp;lt;/code&amp;gt;&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;:&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;&#039;&lt;/del&gt;&amp;lt;code&amp;gt;sum(&amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;, &amp;lt;var&amp;gt;rv&amp;lt;/var&amp;gt;)&amp;lt;/code&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;&#039;&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;:&amp;lt;code&amp;gt;sum(&amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;, &amp;lt;var&amp;gt;rv&amp;lt;/var&amp;gt;)&amp;lt;/code&amp;gt;&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;:&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;&#039;&lt;/del&gt;&amp;lt;code&amp;gt;sum(&amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;, &amp;lt;var&amp;gt;rm&amp;lt;/var&amp;gt;)&amp;lt;/code&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;&#039;&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;:&amp;lt;code&amp;gt;sum(&amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;, &amp;lt;var&amp;gt;rm&amp;lt;/var&amp;gt;)&amp;lt;/code&amp;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;div&gt;:;&amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;: the data vector&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;lt;var&amp;gt;x&amp;lt;/var&amp;gt;: the data vector&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;:;&amp;lt;var&amp;gt;us, os, n&amp;lt;/var&amp;gt;: Every pair &amp;lt;code&amp;gt;{&amp;#039;&amp;#039;us&amp;#039;&amp;#039;+d*i, &amp;#039;&amp;#039;us&amp;#039;&amp;#039;+d*(i+1)} (with: d=(&amp;#039;&amp;#039;os&amp;#039;&amp;#039;-&amp;#039;&amp;#039;us&amp;#039;&amp;#039;)/n, i=0..n-1)&amp;lt;/code&amp;gt; defines an index extent to sum. All three arguments are scalars.&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;lt;var&amp;gt;us, os, n&amp;lt;/var&amp;gt;: Every pair &amp;lt;code&amp;gt;{&amp;#039;&amp;#039;us&amp;#039;&amp;#039;+d*i, &amp;#039;&amp;#039;us&amp;#039;&amp;#039;+d*(i+1)} (with: d=(&amp;#039;&amp;#039;os&amp;#039;&amp;#039;-&amp;#039;&amp;#039;us&amp;#039;&amp;#039;)/n, i=0..n-1)&amp;lt;/code&amp;gt; defines an index extent to sum. All three arguments are scalars.&lt;/div&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-l13&quot;&gt;Line 13:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 12:&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;lt;var&amp;gt;rm&amp;lt;/var&amp;gt;: Every pair &amp;lt;code&amp;gt;{&amp;#039;&amp;#039;rm&amp;#039;&amp;#039;[i,0], &amp;#039;&amp;#039;rm&amp;#039;&amp;#039;[i,1]} (with: i=0..nrow(&amp;#039;&amp;#039;rm&amp;#039;&amp;#039;)-1)&amp;lt;/code&amp;gt; defines an index extent to sum. The argument must be matrix with 2 columns.&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;lt;var&amp;gt;rm&amp;lt;/var&amp;gt;: Every pair &amp;lt;code&amp;gt;{&amp;#039;&amp;#039;rm&amp;#039;&amp;#039;[i,0], &amp;#039;&amp;#039;rm&amp;#039;&amp;#039;[i,1]} (with: i=0..nrow(&amp;#039;&amp;#039;rm&amp;#039;&amp;#039;)-1)&amp;lt;/code&amp;gt; defines an index extent to sum. The argument must be matrix with 2 columns.&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;;Result: The result &amp;#039;&amp;#039;r&amp;#039;&amp;#039; is a scalar or a vector. Each element &amp;#039;&amp;#039;r&amp;#039;&amp;#039;&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; is the sum of the &amp;#039;&amp;#039;x&amp;#039;&amp;#039; values over the i-th index extent.&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;;Result: The result &amp;#039;&amp;#039;r&amp;#039;&amp;#039; is a scalar or a vector. Each element &amp;#039;&amp;#039;r&amp;#039;&amp;#039;&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; is the sum of the &amp;#039;&amp;#039;x&amp;#039;&amp;#039; values over the i-th index extent.&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;;See also: [[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Programmer_Guide/Command_Reference/EVAL&lt;/del&gt;/wsum|wsum]], [[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Programmer_Guide/Command_Reference/EVAL&lt;/del&gt;/hist|hist]]&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;;See also: [[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;..&lt;/ins&gt;/wsum|wsum]], [[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;..&lt;/ins&gt;/hist|hist&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]], [[../avr|avr&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; 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;[[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Programmer_Guide&lt;/del&gt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Command_Reference/EVAL&lt;/del&gt;#Functions|&amp;lt;function list&amp;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;[[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;..&lt;/ins&gt;/#Functions|&amp;lt;function list&amp;gt;]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>193.171.195.48</name></author>
	</entry>
	<entry>
		<id>https://mediawiki.kfs.oeaw.ac.at/stx/docs/wiki/index.php?title=Programmer_Guide/Command_Reference/EVAL/sum&amp;diff=3237&amp;oldid=prev</id>
		<title>193.171.195.48 at 11:38, 8 April 2011</title>
		<link rel="alternate" type="text/html" href="https://mediawiki.kfs.oeaw.ac.at/stx/docs/wiki/index.php?title=Programmer_Guide/Command_Reference/EVAL/sum&amp;diff=3237&amp;oldid=prev"/>
		<updated>2011-04-08T11:38:45Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&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 13:38, 8 April 2011&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-l8&quot;&gt;Line 8:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 8:&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;&amp;lt;code&amp;gt;sum(&amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;, &amp;lt;var&amp;gt;rm&amp;lt;/var&amp;gt;)&amp;lt;/code&amp;gt;&amp;#039;&amp;#039;&amp;#039;&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;&amp;lt;code&amp;gt;sum(&amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;, &amp;lt;var&amp;gt;rm&amp;lt;/var&amp;gt;)&amp;lt;/code&amp;gt;&amp;#039;&amp;#039;&amp;#039;&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;:;&amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;: the data vector&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;lt;var&amp;gt;x&amp;lt;/var&amp;gt;: the data vector&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;:;&amp;lt;var&amp;gt;us, os, n&amp;lt;/var&amp;gt;: Every pair &amp;lt;code&amp;gt;{&#039;us&#039;+d*&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;k&lt;/del&gt;, &#039;&#039;us&#039;&#039;+d*(&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;k&lt;/del&gt;+1)} (with: d=(&#039;&#039;os&#039;&#039;-&#039;&#039;us&#039;&#039;)/n, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;k&lt;/del&gt;=0..n-1)&amp;lt;/code&amp;gt; defines an index extent to sum. All three arguments are scalars.&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;:;&amp;lt;var&amp;gt;us, os, n&amp;lt;/var&amp;gt;: Every pair &amp;lt;code&amp;gt;{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&lt;/ins&gt;&#039;us&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&lt;/ins&gt;&#039;+d*&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;i&lt;/ins&gt;, &#039;&#039;us&#039;&#039;+d*(&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;i&lt;/ins&gt;+1)} (with: d=(&#039;&#039;os&#039;&#039;-&#039;&#039;us&#039;&#039;)/n, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;i&lt;/ins&gt;=0..n-1)&amp;lt;/code&amp;gt; defines an index extent to sum. All three arguments are scalars.&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;:;&amp;lt;var&amp;gt;uv, ov&amp;lt;/var&amp;gt;: Every pair &amp;lt;code&amp;gt;{&#039;&#039;uv&#039;&#039;[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;k&lt;/del&gt;], &#039;&#039;ov&#039;&#039;[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;k&lt;/del&gt;]} (with: &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;k&lt;/del&gt;=0..nrow(&#039;&#039;uv&#039;&#039;)-1)&amp;lt;/code&amp;gt; defines an index extent to sum. Both arguments must be vectors with same length.&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;:;&amp;lt;var&amp;gt;uv, ov&amp;lt;/var&amp;gt;: Every pair &amp;lt;code&amp;gt;{&#039;&#039;uv&#039;&#039;[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;i&lt;/ins&gt;], &#039;&#039;ov&#039;&#039;[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;i&lt;/ins&gt;]} (with: &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;i&lt;/ins&gt;=0..nrow(&#039;&#039;uv&#039;&#039;)-1)&amp;lt;/code&amp;gt; defines an index extent to sum. Both arguments must be vectors with same length.&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;:;&amp;lt;var&amp;gt;rv&amp;lt;/var&amp;gt;: Every pair &amp;lt;code&amp;gt;{&#039;&#039;rv&#039;&#039;[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;k&lt;/del&gt;], &#039;&#039;rv&#039;&#039;[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;k&lt;/del&gt;+1]} (with: &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;k&lt;/del&gt;=0..nrow(&#039;&#039;rv&#039;&#039;)-2)&amp;lt;/code&amp;gt; defines an index extent to sum. The argument must be vector.&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;:;&amp;lt;var&amp;gt;rv&amp;lt;/var&amp;gt;: Every pair &amp;lt;code&amp;gt;{&#039;&#039;rv&#039;&#039;[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;i&lt;/ins&gt;], &#039;&#039;rv&#039;&#039;[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;i&lt;/ins&gt;+1]} (with: &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;i&lt;/ins&gt;=0..nrow(&#039;&#039;rv&#039;&#039;)-2)&amp;lt;/code&amp;gt; defines an index extent to sum. The argument must be vector.&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;:;&amp;lt;var&amp;gt;rm&amp;lt;/var&amp;gt;: Every pair &amp;lt;code&amp;gt;{&#039;&#039;rm&#039;&#039;[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;k&lt;/del&gt;,0], &#039;&#039;rm&#039;&#039;[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;k&lt;/del&gt;,1]} (with: &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;k&lt;/del&gt;=0..nrow(&#039;&#039;rm&#039;&#039;)-1)&amp;lt;/code&amp;gt; defines an index extent to sum. The argument must be matrix with 2 columns.&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;:;&amp;lt;var&amp;gt;rm&amp;lt;/var&amp;gt;: Every pair &amp;lt;code&amp;gt;{&#039;&#039;rm&#039;&#039;[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;i&lt;/ins&gt;,0], &#039;&#039;rm&#039;&#039;[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;i&lt;/ins&gt;,1]} (with: &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;i&lt;/ins&gt;=0..nrow(&#039;&#039;rm&#039;&#039;)-1)&amp;lt;/code&amp;gt; defines an index extent to sum. The argument must be matrix with 2 columns.&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;;Result: The result &amp;#039;&amp;#039;r&amp;#039;&amp;#039; is a scalar or a vector. Each element &amp;#039;&amp;#039;r&amp;#039;&amp;#039;&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; is the sum of the &amp;#039;&amp;#039;x&amp;#039;&amp;#039; values over the i-th index extent.&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;;Result: The result &amp;#039;&amp;#039;r&amp;#039;&amp;#039; is a scalar or a vector. Each element &amp;#039;&amp;#039;r&amp;#039;&amp;#039;&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; is the sum of the &amp;#039;&amp;#039;x&amp;#039;&amp;#039; values over the i-th index extent.&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;;See also: [[Programmer_Guide/Command_Reference/EVAL/wsum|wsum]], [[Programmer_Guide/Command_Reference/EVAL/hist|hist]]&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;;See also: [[Programmer_Guide/Command_Reference/EVAL/wsum|wsum]], [[Programmer_Guide/Command_Reference/EVAL/hist|hist]]&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;[[Programmer_Guide/Command_Reference/EVAL#Functions|&amp;lt;function list&amp;gt;]]&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;[[Programmer_Guide/Command_Reference/EVAL#Functions|&amp;lt;function list&amp;gt;]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>193.171.195.48</name></author>
	</entry>
	<entry>
		<id>https://mediawiki.kfs.oeaw.ac.at/stx/docs/wiki/index.php?title=Programmer_Guide/Command_Reference/EVAL/sum&amp;diff=3224&amp;oldid=prev</id>
		<title>193.171.195.48 at 11:22, 8 April 2011</title>
		<link rel="alternate" type="text/html" href="https://mediawiki.kfs.oeaw.ac.at/stx/docs/wiki/index.php?title=Programmer_Guide/Command_Reference/EVAL/sum&amp;diff=3224&amp;oldid=prev"/>
		<updated>2011-04-08T11:22:26Z</updated>

		<summary type="html">&lt;p&gt;&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;
				&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 13:22, 8 April 2011&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-l8&quot;&gt;Line 8:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 8:&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;&amp;lt;code&amp;gt;sum(&amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;, &amp;lt;var&amp;gt;rm&amp;lt;/var&amp;gt;)&amp;lt;/code&amp;gt;&amp;#039;&amp;#039;&amp;#039;&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;&amp;lt;code&amp;gt;sum(&amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;, &amp;lt;var&amp;gt;rm&amp;lt;/var&amp;gt;)&amp;lt;/code&amp;gt;&amp;#039;&amp;#039;&amp;#039;&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;:;&amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;: the data vector&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;lt;var&amp;gt;x&amp;lt;/var&amp;gt;: the data vector&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;:;&amp;lt;var&amp;gt;us, os, n&amp;lt;/var&amp;gt;: &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;us&#039;&#039; is the lowest index, &#039;&#039;os&#039;&#039; the highest and &#039;&#039;n&#039;&#039; the number of extents. All three arguments are scalars. &lt;/del&gt;Every pair &amp;lt;code&amp;gt;{&#039;us&#039;+d*k, &#039;&#039;us&#039;&#039;+d*(k+1)} (with: d=(&#039;&#039;os&#039;&#039;-&#039;&#039;us&#039;&#039;)/n, k=0..n-1)&amp;lt;/code&amp;gt; defines an index extent to sum.&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;:;&amp;lt;var&amp;gt;us, os, n&amp;lt;/var&amp;gt;: Every pair &amp;lt;code&amp;gt;{&#039;us&#039;+d*k, &#039;&#039;us&#039;&#039;+d*(k+1)} (with: d=(&#039;&#039;os&#039;&#039;-&#039;&#039;us&#039;&#039;)/n, k=0..n-1)&amp;lt;/code&amp;gt; defines an index extent to sum&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;. All three arguments are scalars&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;div&gt;:;&amp;lt;var&amp;gt;uv, ov&amp;lt;/var&amp;gt;: Every pair &amp;lt;code&amp;gt;{&amp;#039;&amp;#039;uv&amp;#039;&amp;#039;[k], &amp;#039;&amp;#039;ov&amp;#039;&amp;#039;[k]} (with: k=0..nrow(&amp;#039;&amp;#039;uv&amp;#039;&amp;#039;)-1)&amp;lt;/code&amp;gt; defines an index extent to sum. Both arguments must be vectors with same length.&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;lt;var&amp;gt;uv, ov&amp;lt;/var&amp;gt;: Every pair &amp;lt;code&amp;gt;{&amp;#039;&amp;#039;uv&amp;#039;&amp;#039;[k], &amp;#039;&amp;#039;ov&amp;#039;&amp;#039;[k]} (with: k=0..nrow(&amp;#039;&amp;#039;uv&amp;#039;&amp;#039;)-1)&amp;lt;/code&amp;gt; defines an index extent to sum. Both arguments must be vectors with same length.&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;:;&amp;lt;var&amp;gt;rv&amp;lt;/var&amp;gt;: Every pair &amp;lt;code&amp;gt;{&amp;#039;&amp;#039;rv&amp;#039;&amp;#039;[k], &amp;#039;&amp;#039;rv&amp;#039;&amp;#039;[k+1]} (with: k=0..nrow(&amp;#039;&amp;#039;rv&amp;#039;&amp;#039;)-2)&amp;lt;/code&amp;gt; defines an index extent to sum. The argument must be vector.&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;lt;var&amp;gt;rv&amp;lt;/var&amp;gt;: Every pair &amp;lt;code&amp;gt;{&amp;#039;&amp;#039;rv&amp;#039;&amp;#039;[k], &amp;#039;&amp;#039;rv&amp;#039;&amp;#039;[k+1]} (with: k=0..nrow(&amp;#039;&amp;#039;rv&amp;#039;&amp;#039;)-2)&amp;lt;/code&amp;gt; defines an index extent to sum. The argument must be vector.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>193.171.195.48</name></author>
	</entry>
	<entry>
		<id>https://mediawiki.kfs.oeaw.ac.at/stx/docs/wiki/index.php?title=Programmer_Guide/Command_Reference/EVAL/sum&amp;diff=3209&amp;oldid=prev</id>
		<title>Christian at 10:07, 8 April 2011</title>
		<link rel="alternate" type="text/html" href="https://mediawiki.kfs.oeaw.ac.at/stx/docs/wiki/index.php?title=Programmer_Guide/Command_Reference/EVAL/sum&amp;diff=3209&amp;oldid=prev"/>
		<updated>2011-04-08T10:07:57Z</updated>

		<summary type="html">&lt;p&gt;&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;
				&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 12:07, 8 April 2011&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=&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;{{DISPLAYTITLE:{{SUBPAGENAME}}}}&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;{{DISPLAYTITLE:{{SUBPAGENAME}}}}&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;Calculate the summation over one or more user-defined extents of a vector &amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;. Depending on the number of extents, the result of the function is a vector or a scalar.&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;Calculate the summation over one or more user-defined extents of a vector &amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;. Depending on the number of extents, the result of the function is a vector or a scalar.&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;&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; class=&quot;diff-side-added&quot;&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;;Usage:  &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;;Usage:  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Christian</name></author>
	</entry>
	<entry>
		<id>https://mediawiki.kfs.oeaw.ac.at/stx/docs/wiki/index.php?title=Programmer_Guide/Command_Reference/EVAL/sum&amp;diff=3201&amp;oldid=prev</id>
		<title>193.171.195.48 at 09:46, 8 April 2011</title>
		<link rel="alternate" type="text/html" href="https://mediawiki.kfs.oeaw.ac.at/stx/docs/wiki/index.php?title=Programmer_Guide/Command_Reference/EVAL/sum&amp;diff=3201&amp;oldid=prev"/>
		<updated>2011-04-08T09:46:30Z</updated>

		<summary type="html">&lt;p&gt;&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;
				&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 11:46, 8 April 2011&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-l10&quot;&gt;Line 10:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 10:&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;lt;var&amp;gt;x&amp;lt;/var&amp;gt;: the data vector&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;lt;var&amp;gt;x&amp;lt;/var&amp;gt;: the data vector&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;:;&amp;lt;var&amp;gt;us, os, n&amp;lt;/var&amp;gt;: &amp;#039;&amp;#039;us&amp;#039;&amp;#039; is the lowest index, &amp;#039;&amp;#039;os&amp;#039;&amp;#039; the highest and &amp;#039;&amp;#039;n&amp;#039;&amp;#039; the number of extents. All three arguments are scalars. Every pair &amp;lt;code&amp;gt;{&amp;#039;us&amp;#039;+d*k, &amp;#039;&amp;#039;us&amp;#039;&amp;#039;+d*(k+1)} (with: d=(&amp;#039;&amp;#039;os&amp;#039;&amp;#039;-&amp;#039;&amp;#039;us&amp;#039;&amp;#039;)/n, k=0..n-1)&amp;lt;/code&amp;gt; defines an index extent to sum.&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;lt;var&amp;gt;us, os, n&amp;lt;/var&amp;gt;: &amp;#039;&amp;#039;us&amp;#039;&amp;#039; is the lowest index, &amp;#039;&amp;#039;os&amp;#039;&amp;#039; the highest and &amp;#039;&amp;#039;n&amp;#039;&amp;#039; the number of extents. All three arguments are scalars. Every pair &amp;lt;code&amp;gt;{&amp;#039;us&amp;#039;+d*k, &amp;#039;&amp;#039;us&amp;#039;&amp;#039;+d*(k+1)} (with: d=(&amp;#039;&amp;#039;os&amp;#039;&amp;#039;-&amp;#039;&amp;#039;us&amp;#039;&amp;#039;)/n, k=0..n-1)&amp;lt;/code&amp;gt; defines an index extent to sum.&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;:;&amp;lt;var&amp;gt;uv, ov&amp;lt;/var&amp;gt;: Every pair &amp;lt;code&amp;gt;{&#039;&#039;uv&#039;&#039;[k], &#039;&#039;ov&#039;&#039;[k]} (with k=0..nrow(&#039;&#039;uv&#039;&#039;)-1)&amp;lt;/code&amp;gt; defines an index extent to sum. Both arguments must be vectors with same length.&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;:;&amp;lt;var&amp;gt;uv, ov&amp;lt;/var&amp;gt;: Every pair &amp;lt;code&amp;gt;{&#039;&#039;uv&#039;&#039;[k], &#039;&#039;ov&#039;&#039;[k]} (with&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;: &lt;/ins&gt;k=0..nrow(&#039;&#039;uv&#039;&#039;)-1)&amp;lt;/code&amp;gt; defines an index extent to sum. Both arguments must be vectors with same length.&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;:;&amp;lt;var&amp;gt;rv&amp;lt;/var&amp;gt;: Every pair &amp;lt;code&amp;gt;{&#039;&#039;rv&#039;&#039;[k], &#039;&#039;rv&#039;&#039;[k+1]} (with k=0..nrow(&#039;&#039;rv&#039;&#039;)-2)&amp;lt;/code&amp;gt; defines an index extent to sum. The argument must be vector.&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;:;&amp;lt;var&amp;gt;rv&amp;lt;/var&amp;gt;: Every pair &amp;lt;code&amp;gt;{&#039;&#039;rv&#039;&#039;[k], &#039;&#039;rv&#039;&#039;[k+1]} (with&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;: &lt;/ins&gt;k=0..nrow(&#039;&#039;rv&#039;&#039;)-2)&amp;lt;/code&amp;gt; defines an index extent to sum. The argument must be vector.&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;:;&amp;lt;var&amp;gt;rm&amp;lt;/var&amp;gt;: Every pair &amp;lt;code&amp;gt;{&#039;&#039;rm&#039;&#039;[k,0], &#039;&#039;rm&#039;&#039;[k,1]} (with k=0..nrow(&#039;&#039;rm&#039;&#039;)-1)&amp;lt;/code&amp;gt; defines an index extent to sum. The argument must be matrix with 2 columns.&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;:;&amp;lt;var&amp;gt;rm&amp;lt;/var&amp;gt;: Every pair &amp;lt;code&amp;gt;{&#039;&#039;rm&#039;&#039;[k,0], &#039;&#039;rm&#039;&#039;[k,1]} (with&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;: &lt;/ins&gt;k=0..nrow(&#039;&#039;rm&#039;&#039;)-1)&amp;lt;/code&amp;gt; defines an index extent to sum. The argument must be matrix with 2 columns.&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;;Result: The result &amp;#039;&amp;#039;r&amp;#039;&amp;#039; is a scalar or a vector. Each element &amp;#039;&amp;#039;r&amp;#039;&amp;#039;&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; is the sum of the &amp;#039;&amp;#039;x&amp;#039;&amp;#039; values over the i-th index extent.&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;;Result: The result &amp;#039;&amp;#039;r&amp;#039;&amp;#039; is a scalar or a vector. Each element &amp;#039;&amp;#039;r&amp;#039;&amp;#039;&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; is the sum of the &amp;#039;&amp;#039;x&amp;#039;&amp;#039; values over the i-th index extent.&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;;See also: [[Programmer_Guide/Command_Reference/EVAL/wsum|wsum]], [[Programmer_Guide/Command_Reference/EVAL/hist|hist]]&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;;See also: [[Programmer_Guide/Command_Reference/EVAL/wsum|wsum]], [[Programmer_Guide/Command_Reference/EVAL/hist|hist]]&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;[[Programmer_Guide/Command_Reference/EVAL#Functions|&amp;lt;function list&amp;gt;]]&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;[[Programmer_Guide/Command_Reference/EVAL#Functions|&amp;lt;function list&amp;gt;]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>193.171.195.48</name></author>
	</entry>
	<entry>
		<id>https://mediawiki.kfs.oeaw.ac.at/stx/docs/wiki/index.php?title=Programmer_Guide/Command_Reference/EVAL/sum&amp;diff=3200&amp;oldid=prev</id>
		<title>193.171.195.48 at 09:44, 8 April 2011</title>
		<link rel="alternate" type="text/html" href="https://mediawiki.kfs.oeaw.ac.at/stx/docs/wiki/index.php?title=Programmer_Guide/Command_Reference/EVAL/sum&amp;diff=3200&amp;oldid=prev"/>
		<updated>2011-04-08T09:44:54Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&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 11:44, 8 April 2011&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=&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;{{DISPLAYTITLE:{{SUBPAGENAME}}}}&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;{{DISPLAYTITLE:{{SUBPAGENAME}}}}&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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;=====sum=====&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Calculate the summation over one or more user-defined extents of a vector &amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;. Depending on the number of extents, the result of the function is a vector or a scalar.&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; 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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Calculate the summation over one or more user-defined extents of a vector &amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;. The result of the following functions is a vector or a scalar (depending on the number of extents).&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The summation of &lt;/del&gt;&amp;lt;var&amp;gt;n&amp;lt;/var&amp;gt; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;extents of &lt;/del&gt;&amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The first &lt;/del&gt;extent &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;begins &lt;/del&gt;with &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;the &lt;/del&gt;index &amp;lt;var&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;u&lt;/del&gt;&amp;lt;/var&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;s and the last extent ends &lt;/del&gt;with &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;the &lt;/del&gt;index &amp;lt;var&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;o&lt;/del&gt;&amp;lt;/var&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;s&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;;Usage: &lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;:&#039;&#039;&#039;&amp;lt;code&amp;gt;sum(&amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;, &amp;lt;var&amp;gt;us&amp;lt;/var&amp;gt;, &amp;lt;var&amp;gt;os&amp;lt;/var&amp;gt;, &lt;/ins&gt;&amp;lt;var&amp;gt;n&amp;lt;/var&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;)&amp;lt;/code&amp;gt;&#039;&#039;&#039;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;:&#039;&#039;&#039;&amp;lt;code&amp;gt;sum(&amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;, &amp;lt;var&amp;gt;uv&amp;lt;/var&amp;gt;, &amp;lt;var&amp;gt;ov&amp;lt;/var&amp;gt;)&amp;lt;/code&amp;gt;&#039;&#039;&#039;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;:&#039;&#039;&#039;&amp;lt;code&amp;gt;sum(&amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;, &amp;lt;var&amp;gt;rv&amp;lt;/var&amp;gt;)&amp;lt;/code&amp;gt;&#039;&#039;&#039;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;:&#039;&#039;&#039;&amp;lt;code&amp;gt;sum(&amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;, &amp;lt;var&amp;gt;rm&amp;lt;/var&amp;gt;)&amp;lt;/code&amp;gt;&#039;&#039;&#039;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;:;&lt;/ins&gt;&amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;: the data vector&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;:;&amp;lt;var&amp;gt;us, os, n&amp;lt;/var&amp;gt;: &#039;&#039;us&#039;&#039; is the lowest index, &#039;&#039;os&#039;&#039; the highest and &#039;&#039;n&#039;&#039; the number of extents. All three arguments are scalars. Every pair &amp;lt;code&amp;gt;{&#039;us&#039;+d*k, &#039;&#039;us&#039;&#039;+d*(k+1)} (with: d=(&#039;&#039;os&#039;&#039;-&#039;&#039;us&#039;&#039;)/n, k=0&lt;/ins&gt;.&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;.n-1)&amp;lt;/code&amp;gt; defines an index &lt;/ins&gt;extent &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;to sum.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;:;&amp;lt;var&amp;gt;uv, ov&amp;lt;/var&amp;gt;: Every pair &amp;lt;code&amp;gt;{&#039;&#039;uv&#039;&#039;[k], &#039;&#039;ov&#039;&#039;[k]} (&lt;/ins&gt;with &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;k=0..nrow(&#039;&#039;uv&#039;&#039;)-1)&amp;lt;/code&amp;gt; defines an &lt;/ins&gt;index &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;extent to sum. Both arguments must be vectors with same length.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;:;&lt;/ins&gt;&amp;lt;var&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;rv&lt;/ins&gt;&amp;lt;/var&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;: Every pair &amp;lt;code&amp;gt;{&#039;&#039;rv&#039;&#039;[k], &#039;&#039;rv&#039;&#039;[k+1]} (&lt;/ins&gt;with &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;k=0..nrow(&#039;&#039;rv&#039;&#039;)-2)&amp;lt;/code&amp;gt; defines an &lt;/ins&gt;index &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;extent to sum. The argument must be vector.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;:;&lt;/ins&gt;&amp;lt;var&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;rm&lt;/ins&gt;&amp;lt;/var&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;: Every pair &amp;lt;code&amp;gt;{&#039;&#039;rm&#039;&#039;[k,0], &#039;&#039;rm&#039;&#039;[k,1]} (with k=0..nrow(&#039;&#039;rm&#039;&#039;)-1)&amp;lt;/code&amp;gt; defines an index extent to sum&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The argument must be matrix with 2 columns.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;;Result: The result &#039;&#039;r&#039;&#039; is a scalar or a vector. Each element &#039;&#039;r&#039;&#039;&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; is the sum of the &#039;&#039;x&#039;&#039; values over the i-th index extent.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;;See also: [[Programmer_Guide/Command_Reference/EVAL/wsum|wsum]], [[Programmer_Guide/Command_Reference/EVAL/hist|hist]]&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; 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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;=====Usage:=====&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;[[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Programmer_Guide&lt;/ins&gt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Command_Reference&lt;/ins&gt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;EVAL#Functions|&lt;/ins&gt;&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;function list&lt;/ins&gt;&amp;gt;]]&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; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;code&amp;gt;sum(&amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;, &amp;lt;var&amp;gt;u&amp;lt;/var&amp;gt;s, &amp;lt;var&amp;gt;o&amp;lt;/var&amp;gt;s, &amp;lt;var&amp;gt;n&amp;lt;/var&amp;gt;)&amp;lt;/code&amp;gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;=====Result:=====&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;If &amp;lt;var&amp;gt;n&amp;lt;/var&amp;gt; &amp;gt; &amp;lt;code&amp;gt;1&amp;lt;/code&amp;gt; the result is a vector, otherwise it is a scalar.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The summation over the extent nrow(&amp;lt;var&amp;gt;u&amp;lt;/var&amp;gt;v). Every pair (&amp;lt;var&amp;gt;u&amp;lt;/var&amp;gt;v&lt;/del&gt;[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;i], &amp;lt;var&amp;gt;o&amp;lt;/var&amp;gt;v&lt;/del&gt;[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;i]) defines an index extent to sum.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;=====Usage:=====&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;code&amp;gt;sum(&amp;lt;var&amp;gt;x&amp;lt;&lt;/del&gt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;var&amp;gt;, &amp;lt;var&amp;gt;u&amp;lt;&lt;/del&gt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;var&amp;gt;v, &amp;lt;var&amp;gt;o&lt;/del&gt;&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;/var&lt;/del&gt;&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;v)&amp;lt;/code&amp;gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The summation over the extent nrow(&amp;lt;var&amp;gt;r&amp;lt;/var&amp;gt;v)-1. Every pair (&amp;lt;var&amp;gt;r&amp;lt;/var&amp;gt;v[i&lt;/del&gt;]&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;, &amp;lt;var&amp;gt;r&amp;lt;/var&amp;gt;v[i+1&lt;/del&gt;]&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;) defines an index extent to sum.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;=====Usage:=====&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;code&amp;gt;sum(&amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;, &amp;lt;var&amp;gt;r&amp;lt;/var&amp;gt;v)&amp;lt;/code&amp;gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The summation over the extent nrow(&amp;lt;var&amp;gt;r&amp;lt;/var&amp;gt;m). Every pair (&amp;lt;var&amp;gt;r&amp;lt;/var&amp;gt;m[i,0], &amp;lt;var&amp;gt;r&amp;lt;/var&amp;gt;v[i,1] defines an index extent for summation.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;=====Usage:=====&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;code&amp;gt;sum(&amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;, &amp;lt;var&amp;gt;r&amp;lt;/var&amp;gt;m)&amp;lt;/code&amp;gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>193.171.195.48</name></author>
	</entry>
	<entry>
		<id>https://mediawiki.kfs.oeaw.ac.at/stx/docs/wiki/index.php?title=Programmer_Guide/Command_Reference/EVAL/sum&amp;diff=1314&amp;oldid=prev</id>
		<title>Admin: 1 revision:&amp;#32;Initial import</title>
		<link rel="alternate" type="text/html" href="https://mediawiki.kfs.oeaw.ac.at/stx/docs/wiki/index.php?title=Programmer_Guide/Command_Reference/EVAL/sum&amp;diff=1314&amp;oldid=prev"/>
		<updated>2010-11-18T16:31:39Z</updated>

		<summary type="html">&lt;p&gt;1 revision: Initial import&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 18:31, 18 November 2010&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Admin</name></author>
	</entry>
	<entry>
		<id>https://mediawiki.kfs.oeaw.ac.at/stx/docs/wiki/index.php?title=Programmer_Guide/Command_Reference/EVAL/sum&amp;diff=1313&amp;oldid=prev</id>
		<title>193.171.195.8: initial import</title>
		<link rel="alternate" type="text/html" href="https://mediawiki.kfs.oeaw.ac.at/stx/docs/wiki/index.php?title=Programmer_Guide/Command_Reference/EVAL/sum&amp;diff=1313&amp;oldid=prev"/>
		<updated>2010-05-17T13:05:27Z</updated>

		<summary type="html">&lt;p&gt;initial import&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{DISPLAYTITLE:{{SUBPAGENAME}}}}&lt;br /&gt;
=====sum=====&lt;br /&gt;
&lt;br /&gt;
Calculate the summation over one or more user-defined extents of a vector &amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;. The result of the following functions is a vector or a scalar (depending on the number of extents).&lt;br /&gt;
&lt;br /&gt;
The summation of &amp;lt;var&amp;gt;n&amp;lt;/var&amp;gt; extents of &amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;. The first extent begins with the index &amp;lt;var&amp;gt;u&amp;lt;/var&amp;gt;s and the last extent ends with the index &amp;lt;var&amp;gt;o&amp;lt;/var&amp;gt;s.&lt;br /&gt;
&lt;br /&gt;
=====Usage:=====&lt;br /&gt;
&lt;br /&gt;
&amp;lt;code&amp;gt;sum(&amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;, &amp;lt;var&amp;gt;u&amp;lt;/var&amp;gt;s, &amp;lt;var&amp;gt;o&amp;lt;/var&amp;gt;s, &amp;lt;var&amp;gt;n&amp;lt;/var&amp;gt;)&amp;lt;/code&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=====Result:=====&lt;br /&gt;
&lt;br /&gt;
If &amp;lt;var&amp;gt;n&amp;lt;/var&amp;gt; &amp;gt; &amp;lt;code&amp;gt;1&amp;lt;/code&amp;gt; the result is a vector, otherwise it is a scalar.&lt;br /&gt;
&lt;br /&gt;
The summation over the extent nrow(&amp;lt;var&amp;gt;u&amp;lt;/var&amp;gt;v). Every pair (&amp;lt;var&amp;gt;u&amp;lt;/var&amp;gt;v[i], &amp;lt;var&amp;gt;o&amp;lt;/var&amp;gt;v[i]) defines an index extent to sum.&lt;br /&gt;
&lt;br /&gt;
=====Usage:=====&lt;br /&gt;
&lt;br /&gt;
&amp;lt;code&amp;gt;sum(&amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;, &amp;lt;var&amp;gt;u&amp;lt;/var&amp;gt;v, &amp;lt;var&amp;gt;o&amp;lt;/var&amp;gt;v)&amp;lt;/code&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The summation over the extent nrow(&amp;lt;var&amp;gt;r&amp;lt;/var&amp;gt;v)-1. Every pair (&amp;lt;var&amp;gt;r&amp;lt;/var&amp;gt;v[i], &amp;lt;var&amp;gt;r&amp;lt;/var&amp;gt;v[i+1]) defines an index extent to sum.&lt;br /&gt;
&lt;br /&gt;
=====Usage:=====&lt;br /&gt;
&lt;br /&gt;
&amp;lt;code&amp;gt;sum(&amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;, &amp;lt;var&amp;gt;r&amp;lt;/var&amp;gt;v)&amp;lt;/code&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The summation over the extent nrow(&amp;lt;var&amp;gt;r&amp;lt;/var&amp;gt;m). Every pair (&amp;lt;var&amp;gt;r&amp;lt;/var&amp;gt;m[i,0], &amp;lt;var&amp;gt;r&amp;lt;/var&amp;gt;v[i,1] defines an index extent for summation.&lt;br /&gt;
&lt;br /&gt;
=====Usage:=====&lt;br /&gt;
&lt;br /&gt;
&amp;lt;code&amp;gt;sum(&amp;lt;var&amp;gt;x&amp;lt;/var&amp;gt;, &amp;lt;var&amp;gt;r&amp;lt;/var&amp;gt;m)&amp;lt;/code&amp;gt;&lt;/div&gt;</summary>
		<author><name>193.171.195.8</name></author>
	</entry>
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