https://aplwiki.com/index.php?title=Suffix&feed=atom&action=historySuffix - Revision history2024-03-29T15:00:55ZRevision history for this page on the wikiMediaWiki 1.38.2https://aplwiki.com/index.php?title=Suffix&diff=11126&oldid=prevMarshall: Prefix and Suffix vectors now have a page2024-03-02T01:19:38Z<p>Prefix and Suffix vectors now have a page</p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 01:19, 2 March 2024</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l17">Line 17:</td>
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<tr><td class="diff-marker"></td><td style="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;"><div>In [[leading axis theory]], the [[cell shape]] of each k-[[cell]] in an array is a suffix of that array's [[shape]], while the [[frame]] is a [[prefix]] of the shape.</div></td><td class="diff-marker"></td><td style="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;"><div>In [[leading axis theory]], the [[cell shape]] of each k-[[cell]] in an array is a suffix of that array's [[shape]], while the [[frame]] is a [[prefix]] of the shape.</div></td></tr>
<tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="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;"><div>[[Iverson notation]] included the notion of a suffix vector <math>\omega^j(n)</math> consisting of <math>n-j</math> zeros followed by <math>j</math> ones; such a vector could be used to produce a length-<math>j</math> suffix of a length-<math>n</math> vector using [[Compress]]<del style="font-weight: bold; text-decoration: none;">. The earliest versions of [[APL\360]] adapted this notation by defining a suffix function <syntaxhighlight lang=apl inline>n ⍵ j</syntaxhighlight> before removing it in favor of [[Take]] with a negative left argument</del>.</div></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div>[[Iverson notation]] <ins style="font-weight: bold; text-decoration: none;">and very early APLs </ins>included the notion of a <ins style="font-weight: bold; text-decoration: none;">[[</ins>suffix vector<ins style="font-weight: bold; text-decoration: none;">]] </ins><math>\omega^j(n)</math> consisting of <math>n-j</math> zeros followed by <math>j</math> ones; such a vector could be used to produce a length-<math>j</math> suffix of a length-<math>n</math> vector using [[Compress]].</div></td></tr>
<tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="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;"><div>[[Category:Array relationships]]</div></td><td class="diff-marker"></td><td style="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;"><div>[[Category:Array relationships]]</div></td></tr>
</table>Marshallhttps://aplwiki.com/index.php?title=Suffix&diff=9715&oldid=prevAdám Brudzewsky: Text replacement - "<source" to "<syntaxhighlight"2022-09-11T11:04:18Z<p>Text replacement - "<source" to "<syntaxhighlight"</p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 11:04, 11 September 2022</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l2">Line 2:</td>
<td colspan="2" class="diff-lineno">Line 2:</td></tr>
<tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="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;"><div>In analogy to [[prefix]] testing, whether an array is a suffix may be tested using [[Take]] with a [[negate]]d left argument and [[Match]]. The only difference is the negation.</div></td><td class="diff-marker"></td><td style="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;"><div>In analogy to [[prefix]] testing, whether an array is a suffix may be tested using [[Take]] with a [[negate]]d left argument and [[Match]]. The only difference is the negation.</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="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;"><div><<del style="font-weight: bold; text-decoration: none;">source </del>lang=apl></div></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><<ins style="font-weight: bold; text-decoration: none;">syntaxhighlight </ins>lang=apl></div></td></tr>
<tr><td class="diff-marker"></td><td style="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;"><div> isSuffix ← {((≢⍺)≤(≢⍵)) ∧ ⍺≡(-≢⍺)↑⍵}</div></td><td class="diff-marker"></td><td style="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;"><div> isSuffix ← {((≢⍺)≤(≢⍵)) ∧ ⍺≡(-≢⍺)↑⍵}</div></td></tr>
<tr><td class="diff-marker"></td><td style="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;"><div> 'fix' isSuffix 'suffix' </div></td><td class="diff-marker"></td><td style="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;"><div> 'fix' isSuffix 'suffix' </div></td></tr>
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<tr><td class="diff-marker"></td><td style="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;"><div>0</div></td><td class="diff-marker"></td><td style="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;"><div>0</div></td></tr>
<tr><td class="diff-marker"></td><td style="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;"><div></syntaxhighlight></div></td><td class="diff-marker"></td><td style="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;"><div></syntaxhighlight></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="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;"><div>We can also use an <<del style="font-weight: bold; text-decoration: none;">source </del>lang=apl inline>isPrefix</syntaxhighlight> function directly by [[Reverse|reversing]] both its arguments. In the second definition below, this relation is written more succinctly in a [[tacit]] style using the [[Over]] operator.</div></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div>We can also use an <<ins style="font-weight: bold; text-decoration: none;">syntaxhighlight </ins>lang=apl inline>isPrefix</syntaxhighlight> function directly by [[Reverse|reversing]] both its arguments. In the second definition below, this relation is written more succinctly in a [[tacit]] style using the [[Over]] operator.</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="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;"><div><<del style="font-weight: bold; text-decoration: none;">source </del>lang=apl></div></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><<ins style="font-weight: bold; text-decoration: none;">syntaxhighlight </ins>lang=apl></div></td></tr>
<tr><td class="diff-marker"></td><td style="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;"><div> isSuffix ← {(⊖⍺)isPrefix(⊖⍵)}</div></td><td class="diff-marker"></td><td style="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;"><div> isSuffix ← {(⊖⍺)isPrefix(⊖⍵)}</div></td></tr>
<tr><td class="diff-marker"></td><td style="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;"><div> isSuffix ← isPrefix⍥⊖</div></td><td class="diff-marker"></td><td style="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;"><div> isSuffix ← isPrefix⍥⊖</div></td></tr>
<tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l17">Line 17:</td>
<td colspan="2" class="diff-lineno">Line 17:</td></tr>
<tr><td class="diff-marker"></td><td style="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;"><div>In [[leading axis theory]], the [[cell shape]] of each k-[[cell]] in an array is a suffix of that array's [[shape]], while the [[frame]] is a [[prefix]] of the shape.</div></td><td class="diff-marker"></td><td style="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;"><div>In [[leading axis theory]], the [[cell shape]] of each k-[[cell]] in an array is a suffix of that array's [[shape]], while the [[frame]] is a [[prefix]] of the shape.</div></td></tr>
<tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="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;"><div>[[Iverson notation]] included the notion of a suffix vector <math>\omega^j(n)</math> consisting of <math>n-j</math> zeros followed by <math>j</math> ones; such a vector could be used to produce a length-<math>j</math> suffix of a length-<math>n</math> vector using [[Compress]]. The earliest versions of [[APL\360]] adapted this notation by defining a suffix function <<del style="font-weight: bold; text-decoration: none;">source </del>lang=apl inline>n ⍵ j</syntaxhighlight> before removing it in favor of [[Take]] with a negative left argument.</div></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div>[[Iverson notation]] included the notion of a suffix vector <math>\omega^j(n)</math> consisting of <math>n-j</math> zeros followed by <math>j</math> ones; such a vector could be used to produce a length-<math>j</math> suffix of a length-<math>n</math> vector using [[Compress]]. The earliest versions of [[APL\360]] adapted this notation by defining a suffix function <<ins style="font-weight: bold; text-decoration: none;">syntaxhighlight </ins>lang=apl inline>n ⍵ j</syntaxhighlight> before removing it in favor of [[Take]] with a negative left argument.</div></td></tr>
<tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="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;"><div>[[Category:Array relationships]]</div></td><td class="diff-marker"></td><td style="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;"><div>[[Category:Array relationships]]</div></td></tr>
</table>Adám Brudzewskyhttps://aplwiki.com/index.php?title=Suffix&diff=9713&oldid=prevAdám Brudzewsky: Text replacement - "</source>" to "</syntaxhighlight>"2022-09-11T11:03:12Z<p>Text replacement - "</source>" to "</syntaxhighlight>"</p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
<col class="diff-marker" />
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<tr class="diff-title" lang="en-GB">
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 11:03, 11 September 2022</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l8">Line 8:</td>
<td colspan="2" class="diff-lineno">Line 8:</td></tr>
<tr><td class="diff-marker"></td><td style="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;"><div> 'suff' isSuffix 'suffix'</div></td><td class="diff-marker"></td><td style="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;"><div> 'suff' isSuffix 'suffix'</div></td></tr>
<tr><td class="diff-marker"></td><td style="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;"><div>0</div></td><td class="diff-marker"></td><td style="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;"><div>0</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="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;"><div></<del style="font-weight: bold; text-decoration: none;">source</del>></div></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div></<ins style="font-weight: bold; text-decoration: none;">syntaxhighlight</ins>></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="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;"><div>We can also use an <source lang=apl inline>isPrefix</<del style="font-weight: bold; text-decoration: none;">source</del>> function directly by [[Reverse|reversing]] both its arguments. In the second definition below, this relation is written more succinctly in a [[tacit]] style using the [[Over]] operator.</div></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div>We can also use an <source lang=apl inline>isPrefix</<ins style="font-weight: bold; text-decoration: none;">syntaxhighlight</ins>> function directly by [[Reverse|reversing]] both its arguments. In the second definition below, this relation is written more succinctly in a [[tacit]] style using the [[Over]] operator.</div></td></tr>
<tr><td class="diff-marker"></td><td style="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;"><div><source lang=apl></div></td><td class="diff-marker"></td><td style="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;"><div><source lang=apl></div></td></tr>
<tr><td class="diff-marker"></td><td style="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;"><div> isSuffix ← {(⊖⍺)isPrefix(⊖⍵)}</div></td><td class="diff-marker"></td><td style="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;"><div> isSuffix ← {(⊖⍺)isPrefix(⊖⍵)}</div></td></tr>
<tr><td class="diff-marker"></td><td style="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;"><div> isSuffix ← isPrefix⍥⊖</div></td><td class="diff-marker"></td><td style="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;"><div> isSuffix ← isPrefix⍥⊖</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="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;"><div></<del style="font-weight: bold; text-decoration: none;">source</del>></div></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div></<ins style="font-weight: bold; text-decoration: none;">syntaxhighlight</ins>></div></td></tr>
<tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="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;"><div>In [[leading axis theory]], the [[cell shape]] of each k-[[cell]] in an array is a suffix of that array's [[shape]], while the [[frame]] is a [[prefix]] of the shape.</div></td><td class="diff-marker"></td><td style="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;"><div>In [[leading axis theory]], the [[cell shape]] of each k-[[cell]] in an array is a suffix of that array's [[shape]], while the [[frame]] is a [[prefix]] of the shape.</div></td></tr>
<tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="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;"><div>[[Iverson notation]] included the notion of a suffix vector <math>\omega^j(n)</math> consisting of <math>n-j</math> zeros followed by <math>j</math> ones; such a vector could be used to produce a length-<math>j</math> suffix of a length-<math>n</math> vector using [[Compress]]. The earliest versions of [[APL\360]] adapted this notation by defining a suffix function <source lang=apl inline>n ⍵ j</<del style="font-weight: bold; text-decoration: none;">source</del>> before removing it in favor of [[Take]] with a negative left argument.</div></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div>[[Iverson notation]] included the notion of a suffix vector <math>\omega^j(n)</math> consisting of <math>n-j</math> zeros followed by <math>j</math> ones; such a vector could be used to produce a length-<math>j</math> suffix of a length-<math>n</math> vector using [[Compress]]. The earliest versions of [[APL\360]] adapted this notation by defining a suffix function <source lang=apl inline>n ⍵ j</<ins style="font-weight: bold; text-decoration: none;">syntaxhighlight</ins>> before removing it in favor of [[Take]] with a negative left argument.</div></td></tr>
<tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="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;"><div>[[Category:Array relationships]]</div></td><td class="diff-marker"></td><td style="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;"><div>[[Category:Array relationships]]</div></td></tr>
</table>Adám Brudzewskyhttps://aplwiki.com/index.php?title=Suffix&diff=3716&oldid=prevMarshall: Array relationships category2020-04-30T14:10:51Z<p>Array relationships category</p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 14:10, 30 April 2020</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l18">Line 18:</td>
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<tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="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;"><div>[[Iverson notation]] included the notion of a suffix vector <math>\omega^j(n)</math> consisting of <math>n-j</math> zeros followed by <math>j</math> ones; such a vector could be used to produce a length-<math>j</math> suffix of a length-<math>n</math> vector using [[Compress]]. The earliest versions of [[APL\360]] adapted this notation by defining a suffix function <source lang=apl inline>n ⍵ j</source> before removing it in favor of [[Take]] with a negative left argument.</div></td><td class="diff-marker"></td><td style="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;"><div>[[Iverson notation]] included the notion of a suffix vector <math>\omega^j(n)</math> consisting of <math>n-j</math> zeros followed by <math>j</math> ones; such a vector could be used to produce a length-<math>j</math> suffix of a length-<math>n</math> vector using [[Compress]]. The earliest versions of [[APL\360]] adapted this notation by defining a suffix function <source lang=apl inline>n ⍵ j</source> before removing it in favor of [[Take]] with a negative left argument.</div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">[[Category:Array relationships]]</ins></div></td></tr>
</table>Marshallhttps://aplwiki.com/index.php?title=Suffix&diff=406&oldid=prevRichPark: 2 revisions imported: Migrate from miraheze2019-11-20T14:48:09Z<p>2 revisions imported: Migrate from miraheze</p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
<tr class="diff-title" lang="en-GB">
<td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 14:48, 20 November 2019</td>
</tr><tr><td colspan="2" class="diff-notice" lang="en-GB"><div class="mw-diff-empty">(No difference)</div>
</td></tr></table>RichParkhttps://aplwiki.com/index.php?title=Suffix&diff=405&oldid=prevMiraheze>Marshall at 10:44, 15 November 20192019-11-15T10:44:47Z<p></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="en-GB">
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 10:44, 15 November 2019</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td>
<td colspan="2" class="diff-lineno">Line 1:</td></tr>
<tr><td class="diff-marker"></td><td style="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;"><div>A '''suffix''' is a kind of [[subarray]] which is like a [[prefix]] except that values are taken from the end of the array rather than the beginning: a [[vector]] is a suffix of another vector if it is no longer than that vector, and shares all of its trailing [[element]]s. In [[leading axis theory]], an array may be considered a suffix of another array of the same [[rank]] if the same relation holds with [[major cell]]s in place of elements. The function [[Drop]] produces suffixes of its right argument when the left argument is non-negative.</div></td><td class="diff-marker"></td><td style="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;"><div>A '''suffix''' is a kind of [[subarray]] which is like a [[prefix]] except that values are taken from the end of the array rather than the beginning: a [[vector]] is a suffix of another vector if it is no longer than that vector, and shares all of its trailing [[element]]s. In [[leading axis theory]], an array may be considered a suffix of another array of the same [[rank]] if the same relation holds with [[major cell]]s in place of elements. The function [[Drop]] produces suffixes of its right argument when the left argument is non-negative.</div></td></tr>
<tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="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;"><div>In analogy to [[prefix]] testing, whether an array is a suffix may be tested using [[Take]] with a [[<del style="font-weight: bold; text-decoration: none;">Minus|negated</del>]] left argument and [[Match]]. The only difference is the negation.</div></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div>In analogy to [[prefix]] testing, whether an array is a suffix may be tested using [[Take]] with a [[<ins style="font-weight: bold; text-decoration: none;">negate</ins>]]<ins style="font-weight: bold; text-decoration: none;">d </ins>left argument and [[Match]]. The only difference is the negation.</div></td></tr>
<tr><td class="diff-marker"></td><td style="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;"><div><source lang=apl></div></td><td class="diff-marker"></td><td style="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;"><div><source lang=apl></div></td></tr>
<tr><td class="diff-marker"></td><td style="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;"><div> isSuffix ← {((≢⍺)≤(≢⍵)) ∧ ⍺≡(-≢⍺)↑⍵}</div></td><td class="diff-marker"></td><td style="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;"><div> isSuffix ← {((≢⍺)≤(≢⍵)) ∧ ⍺≡(-≢⍺)↑⍵}</div></td></tr>
</table>Miraheze>Marshallhttps://aplwiki.com/index.php?title=Suffix&diff=404&oldid=prevMiraheze>Marshall: Created page with "A '''suffix''' is a kind of subarray which is like a prefix except that values are taken from the end of the array rather than the beginning: a vector is a suffix..."2019-11-15T10:44:28Z<p>Created page with "A '''suffix''' is a kind of <a href="/wiki/Subarray" title="Subarray">subarray</a> which is like a <a href="/wiki/Prefix" title="Prefix">prefix</a> except that values are taken from the end of the array rather than the beginning: a <a href="/wiki/Vector" title="Vector">vector</a> is a suffix..."</p>
<p><b>New page</b></p><div>A '''suffix''' is a kind of [[subarray]] which is like a [[prefix]] except that values are taken from the end of the array rather than the beginning: a [[vector]] is a suffix of another vector if it is no longer than that vector, and shares all of its trailing [[element]]s. In [[leading axis theory]], an array may be considered a suffix of another array of the same [[rank]] if the same relation holds with [[major cell]]s in place of elements. The function [[Drop]] produces suffixes of its right argument when the left argument is non-negative.<br />
<br />
In analogy to [[prefix]] testing, whether an array is a suffix may be tested using [[Take]] with a [[Minus|negated]] left argument and [[Match]]. The only difference is the negation.<br />
<source lang=apl><br />
isSuffix ← {((≢⍺)≤(≢⍵)) ∧ ⍺≡(-≢⍺)↑⍵}<br />
'fix' isSuffix 'suffix' <br />
1<br />
'suff' isSuffix 'suffix'<br />
0<br />
</source><br />
We can also use an <source lang=apl inline>isPrefix</source> function directly by [[Reverse|reversing]] both its arguments. In the second definition below, this relation is written more succinctly in a [[tacit]] style using the [[Over]] operator.<br />
<source lang=apl><br />
isSuffix ← {(⊖⍺)isPrefix(⊖⍵)}<br />
isSuffix ← isPrefix⍥⊖<br />
</source><br />
<br />
In [[leading axis theory]], the [[cell shape]] of each k-[[cell]] in an array is a suffix of that array's [[shape]], while the [[frame]] is a [[prefix]] of the shape.<br />
<br />
[[Iverson notation]] included the notion of a suffix vector <math>\omega^j(n)</math> consisting of <math>n-j</math> zeros followed by <math>j</math> ones; such a vector could be used to produce a length-<math>j</math> suffix of a length-<math>n</math> vector using [[Compress]]. The earliest versions of [[APL\360]] adapted this notation by defining a suffix function <source lang=apl inline>n ⍵ j</source> before removing it in favor of [[Take]] with a negative left argument.</div>Miraheze>Marshall