<?xml version="1.0"?>
<feed xmlns="http://www.w3.org/2005/Atom" xml:lang="en">
	<id>https://wiki.nars2000.org/index.php?action=history&amp;feed=atom&amp;title=Axis</id>
	<title>Axis - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://wiki.nars2000.org/index.php?action=history&amp;feed=atom&amp;title=Axis"/>
	<link rel="alternate" type="text/html" href="https://wiki.nars2000.org/index.php?title=Axis&amp;action=history"/>
	<updated>2026-05-08T06:07:24Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.38.7</generator>
	<entry>
		<id>https://wiki.nars2000.org/index.php?title=Axis&amp;diff=3817&amp;oldid=prev</id>
		<title>WikiSysop at 19:04, 14 September 2022</title>
		<link rel="alternate" type="text/html" href="https://wiki.nars2000.org/index.php?title=Axis&amp;diff=3817&amp;oldid=prev"/>
		<updated>2022-09-14T19:04:24Z</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 15:04, 14 September 2022&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-l5&quot;&gt;Line 5:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 5:&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;* The Axis operator is allowed on the dyadic derived function from the Each operator (e.g., &amp;lt;apll&amp;gt;(2 3⍴L)⍴¨[1 2] 2 3 4⍴R&amp;lt;/apll&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;* The Axis operator is allowed on the dyadic derived function from the Each operator (e.g., &amp;lt;apll&amp;gt;(2 3⍴L)⍴¨[1 2] 2 3 4⍴R&amp;lt;/apll&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;* The Axis operator is allowed on user-defined functions/operators (e.g., &amp;lt;apll&amp;gt;FOO[2 3] R&amp;lt;/apll&amp;gt; by specifying it in the function header, as in &amp;lt;apll&amp;gt;∇ Z←FOO[X] R&amp;lt;/apll&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;* The Axis operator is allowed on user-defined functions/operators (e.g., &amp;lt;apll&amp;gt;FOO[2 3] R&amp;lt;/apll&amp;gt; by specifying it in the function header, as in &amp;lt;apll&amp;gt;∇ Z←FOO[X] R&amp;lt;/apll&amp;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;* The Axis operator is allowed on Anonymous Functions/Operators/Hyperators using the symbol &amp;lt;apll&gt;χ&amp;lt;/apll&gt; within the Anonymous FOH&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;* If the first element of &amp;lt;apll&amp;gt;⎕FEATURE&amp;lt;/apll&amp;gt; is a &amp;lt;apll&amp;gt;1&amp;lt;/apll&amp;gt;, the Axis operator values may be negative. That is, if the largest allowed value is &amp;lt;apll&amp;gt;N&amp;lt;/apll&amp;gt;, then the allowable range for axis operator values is &amp;lt;apll&amp;gt;1 ¯1[1]-N&amp;lt;/apll&amp;gt; to &amp;lt;apll&amp;gt;N&amp;lt;/apll&amp;gt;, inclusive.&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 the first element of &amp;lt;apll&amp;gt;⎕FEATURE&amp;lt;/apll&amp;gt; is a &amp;lt;apll&amp;gt;1&amp;lt;/apll&amp;gt;, the Axis operator values may be negative. That is, if the largest allowed value is &amp;lt;apll&amp;gt;N&amp;lt;/apll&amp;gt;, then the allowable range for axis operator values is &amp;lt;apll&amp;gt;1 ¯1[1]-N&amp;lt;/apll&amp;gt; to &amp;lt;apll&amp;gt;N&amp;lt;/apll&amp;gt;, inclusive.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>WikiSysop</name></author>
	</entry>
	<entry>
		<id>https://wiki.nars2000.org/index.php?title=Axis&amp;diff=3178&amp;oldid=prev</id>
		<title>Sudleyplace at 23:38, 15 April 2018</title>
		<link rel="alternate" type="text/html" href="https://wiki.nars2000.org/index.php?title=Axis&amp;diff=3178&amp;oldid=prev"/>
		<updated>2018-04-15T23:38:02Z</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 19:38, 15 April 2018&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&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;* Axis operator allowed with primitive scalar dyadic functions (e.g., &amp;lt;apll&amp;gt;1 2+[1] 2 3⍴R&amp;lt;/apll&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;The &lt;/ins&gt;Axis operator &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;is &lt;/ins&gt;allowed with &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;all &lt;/ins&gt;primitive scalar dyadic functions (e.g., &amp;lt;apll&amp;gt;1 2+[1] 2 3⍴R&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/apll&amp;gt;) and some scalar monadic functions (e.g., &amp;lt;apll&amp;gt;&amp;amp;lt;[1] 2 3⍴R&amp;lt;/apll&amp;gt;)&lt;/ins&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;* Axis operator to primitive scalar dyadic functions may transpose coordinates (e.g., &amp;lt;apll&amp;gt;(2 3⍴L)+[1 2] 2 3 4⍴R&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/apll&amp;gt; and &amp;lt;apll&amp;gt;&lt;/del&gt;(⍉2 3⍴L)+[2 1] 2 3 4⍴R&amp;lt;/apll&amp;gt; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;are identical&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;* The Axis operator is allowed with some primitive operators (e.g., &amp;lt;apll&amp;gt;L←&amp;#039;abcdef&amp;#039; ⋄ R←⍳⍴L ⋄ L ,⍤[1] 0 R ←→ L,[0.5] R&lt;/ins&gt;&amp;lt;/apll&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;* Axis operator to Ravel may transpose coordinates (e.g., &amp;lt;apll&amp;gt;,[2 1] R&amp;lt;/apll&amp;gt; and &amp;lt;apll&amp;gt;,[1 2] R&amp;lt;/apll&amp;gt; are both valid but, in general, have the same values in different order)&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;The &lt;/ins&gt;Axis operator to primitive scalar dyadic functions may transpose coordinates (e.g., &amp;lt;apll&amp;gt;(2 3⍴L)+[1 2] 2 3 4⍴R &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;←→ &lt;/ins&gt;(⍉2 3⍴L)+[2 1] 2 3 4⍴R&amp;lt;/apll&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;* Axis operator is allowed on the dyadic derived function from the Each operator (e.g., &amp;lt;apll&amp;gt;(2 3⍴L)⍴¨[1 2] 2 3 4⍴R&amp;lt;/apll&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;The &lt;/ins&gt;Axis operator to Ravel may transpose coordinates (e.g., &amp;lt;apll&amp;gt;,[2 1] R&amp;lt;/apll&amp;gt; and &amp;lt;apll&amp;gt;,[1 2] R&amp;lt;/apll&amp;gt; are both valid but, in general, have the same values in different order)&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;* Axis operator is allowed on user-defined functions/operators (e.g., &amp;lt;apll&amp;gt;FOO[2 3] R&amp;lt;/apll&amp;gt; by specifying it in the function header, as in &amp;lt;apll&amp;gt;∇ Z←FOO[X] R&amp;lt;/apll&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;The &lt;/ins&gt;Axis operator is allowed on the dyadic derived function from the Each operator (e.g., &amp;lt;apll&amp;gt;(2 3⍴L)⍴¨[1 2] 2 3 4⍴R&amp;lt;/apll&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;* Axis operator values may be negative. That is, if the largest allowed value is &amp;lt;apll&amp;gt;N&amp;lt;/apll&amp;gt;, then the allowable range for axis operator values is &amp;lt;apll&amp;gt;1 ¯1[1]-N&amp;lt;/apll&amp;gt; to &amp;lt;apll&amp;gt;N&amp;lt;/apll&amp;gt;, inclusive.&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;The &lt;/ins&gt;Axis operator is allowed on user-defined functions/operators (e.g., &amp;lt;apll&amp;gt;FOO[2 3] R&amp;lt;/apll&amp;gt; by specifying it in the function header, as in &amp;lt;apll&amp;gt;∇ Z←FOO[X] R&amp;lt;/apll&amp;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;If the first element of &amp;lt;apll&amp;gt;⎕FEATURE&amp;lt;/apll&amp;gt; is a &amp;lt;apll&amp;gt;1&amp;lt;/apll&amp;gt;, the &lt;/ins&gt;Axis operator values may be negative. That is, if the largest allowed value is &amp;lt;apll&amp;gt;N&amp;lt;/apll&amp;gt;, then the allowable range for axis operator values is &amp;lt;apll&amp;gt;1 ¯1[1]-N&amp;lt;/apll&amp;gt; to &amp;lt;apll&amp;gt;N&amp;lt;/apll&amp;gt;, inclusive.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Sudleyplace</name></author>
	</entry>
	<entry>
		<id>https://wiki.nars2000.org/index.php?title=Axis&amp;diff=152&amp;oldid=prev</id>
		<title>Sudleyplace at 16:34, 10 April 2008</title>
		<link rel="alternate" type="text/html" href="https://wiki.nars2000.org/index.php?title=Axis&amp;diff=152&amp;oldid=prev"/>
		<updated>2008-04-10T16:34:19Z</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 12:34, 10 April 2008&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;* Axis operator is allowed on the dyadic derived function from the Each operator (e.g., &amp;lt;apll&amp;gt;(2 3⍴L)⍴¨[1 2] 2 3 4⍴R&amp;lt;/apll&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;* Axis operator is allowed on the dyadic derived function from the Each operator (e.g., &amp;lt;apll&amp;gt;(2 3⍴L)⍴¨[1 2] 2 3 4⍴R&amp;lt;/apll&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;* Axis operator is allowed on user-defined functions/operators (e.g., &amp;lt;apll&amp;gt;FOO[2 3] R&amp;lt;/apll&amp;gt; by specifying it in the function header, as in &amp;lt;apll&amp;gt;∇ Z←FOO[X] R&amp;lt;/apll&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;* Axis operator is allowed on user-defined functions/operators (e.g., &amp;lt;apll&amp;gt;FOO[2 3] R&amp;lt;/apll&amp;gt; by specifying it in the function header, as in &amp;lt;apll&amp;gt;∇ Z←FOO[X] R&amp;lt;/apll&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;* Axis operator values may be negative. That is, if the largest allowed value is &amp;lt;apll&amp;gt;N&amp;lt;/apll&amp;gt;, then the allowable range for axis operator values is &amp;lt;apll&amp;gt;¯1-N&amp;lt;/apll&amp;gt; to &amp;lt;apll&amp;gt;N&amp;lt;/apll&amp;gt;, inclusive.&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;* Axis operator values may be negative. That is, if the largest allowed value is &amp;lt;apll&amp;gt;N&amp;lt;/apll&amp;gt;, then the allowable range for axis operator values is &amp;lt;apll&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;1 &lt;/ins&gt;¯1&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[1]&lt;/ins&gt;-N&amp;lt;/apll&amp;gt; to &amp;lt;apll&amp;gt;N&amp;lt;/apll&amp;gt;, inclusive.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Sudleyplace</name></author>
	</entry>
	<entry>
		<id>https://wiki.nars2000.org/index.php?title=Axis&amp;diff=139&amp;oldid=prev</id>
		<title>Sudleyplace: New page: * Axis operator allowed with primitive scalar dyadic functions (e.g., &lt;apll&gt;1 2+[1] 2 3⍴R&lt;/apll&gt;) * Axis operator to primitive scalar dyadic functions may transpose coordinates (e.g., &lt;a...</title>
		<link rel="alternate" type="text/html" href="https://wiki.nars2000.org/index.php?title=Axis&amp;diff=139&amp;oldid=prev"/>
		<updated>2008-04-10T15:11:15Z</updated>

		<summary type="html">&lt;p&gt;New page: * Axis operator allowed with primitive scalar dyadic functions (e.g., &amp;lt;apll&amp;gt;1 2+[1] 2 3⍴R&amp;lt;/apll&amp;gt;) * Axis operator to primitive scalar dyadic functions may transpose coordinates (e.g., &amp;lt;a...&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;* Axis operator allowed with primitive scalar dyadic functions (e.g., &amp;lt;apll&amp;gt;1 2+[1] 2 3⍴R&amp;lt;/apll&amp;gt;)&lt;br /&gt;
* Axis operator to primitive scalar dyadic functions may transpose coordinates (e.g., &amp;lt;apll&amp;gt;(2 3⍴L)+[1 2] 2 3 4⍴R&amp;lt;/apll&amp;gt; and &amp;lt;apll&amp;gt;(⍉2 3⍴L)+[2 1] 2 3 4⍴R&amp;lt;/apll&amp;gt; are identical)&lt;br /&gt;
* Axis operator to Ravel may transpose coordinates (e.g., &amp;lt;apll&amp;gt;,[2 1] R&amp;lt;/apll&amp;gt; and &amp;lt;apll&amp;gt;,[1 2] R&amp;lt;/apll&amp;gt; are both valid but, in general, have the same values in different order)&lt;br /&gt;
* Axis operator is allowed on the dyadic derived function from the Each operator (e.g., &amp;lt;apll&amp;gt;(2 3⍴L)⍴¨[1 2] 2 3 4⍴R&amp;lt;/apll&amp;gt;)&lt;br /&gt;
* Axis operator is allowed on user-defined functions/operators (e.g., &amp;lt;apll&amp;gt;FOO[2 3] R&amp;lt;/apll&amp;gt; by specifying it in the function header, as in &amp;lt;apll&amp;gt;∇ Z←FOO[X] R&amp;lt;/apll&amp;gt;)&lt;br /&gt;
* Axis operator values may be negative. That is, if the largest allowed value is &amp;lt;apll&amp;gt;N&amp;lt;/apll&amp;gt;, then the allowable range for axis operator values is &amp;lt;apll&amp;gt;¯1-N&amp;lt;/apll&amp;gt; to &amp;lt;apll&amp;gt;N&amp;lt;/apll&amp;gt;, inclusive.&lt;/div&gt;</summary>
		<author><name>Sudleyplace</name></author>
	</entry>
</feed>