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<html>
<head>
<meta charset="UTF-8" />
<meta name="viewport" content="width=device-width, initial-scale=1" />
<link rel="stylesheet" href="style.css" />
<link rel="icon" type="image/png" href="logo.png" />
<title>Dyalog APL - Vocabulary</title>
</head>
<body>
<main>
<h1>
<div class="color-code">
<span>Dyalog APL - Vocabulary</span>
<span class="separator"> · </span>
<table>
<tr>
<td class="function">Function</td>
<td class="moperator">Monadic Operator</td>
<td class="doperator">Dyadic Operator</td>
<td class="noun">Array</td>
<td class="copula">Multi-Role</td>
<td class="control">Control</td>
</tr>
</table>
<span class="separator"> · </span>
<p style="font-family: APL333 color: 222; font-size: 0.6em">
X, Y: Arrays  f, g, h: Functions
</p>
</div>
<span style="font-size: 0.4em"> </span>
</h1>
<br />
<section>
<div>
<table>
<tr>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Add.htm"
>Plus</a
>
</td>
<td class="function">+</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Conjugate.htm"
>Conjugate</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Symbols/Minus%20Sign.htm"
>Minus</a
>
</td>
<td class="function">-</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Negative.htm"
>Negate</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Multiply.htm"
>Times</a
>
</td>
<td class="function">×</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Direction.htm"
>Direction</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Divide.htm"
>Divide</a
>
</td>
<td class="function">÷</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Reciprocal.htm"
>Reciprocal</a
>
</td>
<td></td>
</tr>
<tr>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Maximum.htm"
>Maximum</a
>
</td>
<td class="function">⌈</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Ceiling.htm"
>Ceiling</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Minimum.htm"
>Minimum</a
>
</td>
<td class="function">⌊</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Floor.htm"
>Floor</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Power.htm"
>Power</a
>
</td>
<td class="function">*</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Exponential.htm"
>Exponential</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Logarithm.htm"
>Logarithm</a
>
</td>
<td class="function">⍟</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Natural%20Logarithm.htm"
>Natural<br/>
Logarithm</a
>
</td>
<td></td>
</tr>
<tr>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Circular.htm"
>
Circular</a
>
</td>
<td class="function">○</td>
<td>
<a
href=" https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Pi%20Times.htm"
>Pi Times</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Binomial.htm"
>Binomial</a
>
</td>
<td class="function">!</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Factorial.htm"
>Factorial</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Deal.htm"
>Deal</a
>
</td>
<td class="function">?</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Roll.htm"
>Roll</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Residue.htm"
>Residue</a
>
</td>
<td class="function">|</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Magnitude.htm"
>Magnitude</a
>
</td>
<td></td>
</tr>
<tr>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/And%20Lowest%20Common%20Multiple.htm"
>And/LCM</a
>
</td>
<td class="function">∧</td>
<td></td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Or%20Greatest%20Common%20Divisor.htm"
>Or/GCD</a
>
</td>
<td class="function">∨</td>
<td></td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Nand.htm"
>Nand</a
>
</td>
<td class="function">⍲</td>
<td></td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Nor.htm"
>Nor</a
>
</td>
<td class="function">⍱</td>
<td></td>
<td></td>
</tr>
<tr
style="text-align: right; border-left: none; border-right: none"
>
<td style="color: white">0</td>
</tr>
<tr>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Equal.htm"
>Equal</a
>
</td>
<td class="function">=</td>
<td></td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Not%20Equal.htm"
>Not Equal</a
>
</td>
<td class="function">≠</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Unique%20Mask.htm"
>Unique <br />
Mask</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Match.htm"
>Match</a
>
</td>
<td class="function">≡</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Depth.htm"
>Depth</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Not%20Match.htm"
>Not Match</a
>
</td>
<td class="function" style="font-family:APL385 Unicode,APL333,monospace">≢</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Tally.htm"
>Tally</a
>
</td>
<td></td>
</tr>
<tr>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Less.htm"
>Less </a
>
</td>
<td class="function"><</td>
<td></td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Less%20Or%20Equal.htm"
>Less Or <br />
Equal</a
>
</td>
<td class="function">≤</td>
<td></td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Symbols/Greater%20Than%20Or%20Equal%20To%20Sign.htm"
>
Greater Or <br />
Equal</a
>
</td>
<td class="function">≥</td>
<td></td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Greater.htm"
>Greater </a
>
</td>
<td class="function">></td>
<td></td>
<td></td>
</tr>
<tr>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Index%20with%20Axes.htm"
>Index</a
>
</td>
<td class="function">⌷</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Materialise.htm"
>Materialise</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Take.htm"
>Take</a
>
</td>
<td class="function">↑</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Mix.htm"
>Mix</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Drop.htm"
>Drop</a
>
</td>
<td class="function">↓</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Split.htm"
>Split</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Reshape.htm"
>Reshape</a
>
</td>
<td class="function">⍴</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Shape.htm"
>Shape</a
>
</td>
<td></td>
</tr>
<tr>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Partitioned%20Enclose.htm"
>
Partitioned <br />
Enclose
</a>
</td>
<td class="function">⊂</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Enclose.htm"
>Enclose</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Pick.htm"
>Pick</a
>
</td>
<td class="function">⊃</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Disclose.htm"
>First</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Left.htm"
>Left</a
>
</td>
<td class="function">⊣</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Same.htm"
>Same</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Right.htm"
>Right</a
>
</td>
<td class="function">⊢</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Same.htm"
>Same</a
>
</td>
<td></td>
</tr>
<tr
style="text-align: right; border-left: none; border-right: none"
>
<td style="color: white">0</td>
</tr>
<tr>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Partition.htm"
>Partition</a
>
</td>
<td class="function">⊆</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Nest.htm"
>Nest</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Union.htm"
>Union</a
>
</td>
<td class="function">∪</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Unique.htm"
>Unique</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Intersection.htm"
>Intersection</a
>
</td>
<td class="function">∩</td>
<td></td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Excluding.htm"
>Without</a
>
</td>
<td class="function">~</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Not.htm"
>Not</a
>
</td>
<td></td>
</tr>
<tr>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Index%20Of.htm"
>Index Of</a
>
</td>
<td class="function">⍳</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Index%20Generator.htm"
>Index<br/>
Generator
</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Interval%20Index.htm"
>
Interval <br />
Index
</a>
</td>
<td class="function">⍸</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Where.htm"
>Where</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Membership.htm"
>Membership</a
>
</td>
<td class="function">∊</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Enlist.htm"
>Enlist</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Find.htm"
>Find</a
>
</td>
<td class="function">⍷</td>
<td></td>
<td></td>
</tr>
<tr>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Replicate.htm"
>Replicate</a
>
</td>
<td class="function">/</td>
<td></td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Expand.htm"
>Expand</a
>
</td>
<td class="function">\</td>
<td></td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Replicate.htm"
>
Replicate <br />
First
</a>
</td>
<td class="function">⌿</td>
<td></td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Expand.htm"
>
Expand <br />
First</a
>
</td>
<td class="function">⍀</td>
<td></td>
<td></td>
</tr>
<tr>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Rotate.htm"
>Rotate</a
>
</td>
<td class="function">⌽</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Reverse.htm"
>Reverse</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Rotate%20First.htm"
>
Rotate <br />
First</a
>
</td>
<td class="function">⊖</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Reverse%20First.htm"
>
Reverse <br />
First</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Catenate%20Laminate.htm"
>Catenate</a
>
</td>
<td class="function">,</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Ravel.htm"
>Ravel</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Catenate%20First.htm"
>
Catenate <br />
First</a
>
</td>
<td class="function">⍪</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Table.htm"
>Table</a
>
</td>
<td></td>
</tr>
<tr
style="text-align: right; border-left: none; border-right: none"
>
<td style="color: white">0</td>
</tr>
<tr>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Transpose%20Dyadic.htm"
>
Reorder <br />
Axes</a
>
</td>
<td class="function">⍉</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Transpose%20Monadic.htm"
>Transpose</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Decode.htm"
>Decode</a
>
</td>
<td class="function">⊥</td>
<td></td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Encode.htm"
>Encode</a
>
</td>
<td class="function">⊤</td>
<td></td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Matrix%20Divide.htm"
>
Matrix <br />
Divide</a
>
</td>
<td class="function">⌹</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Matrix%20Inverse.htm"
>
Matrix <br />
Inverse</a
>
</td>
<td></td>
</tr>
<tr>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Execute.htm"
>
Namespace <br />
Execute</a
>
</td>
<td class="function">⍎</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Execute.htm"
>Execute</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Format%20Dyadic.htm"
>
Specified <br />
Format</a
>
</td>
<td class="function">⍕</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Format%20Monadic.htm"
>Format</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Grade%20Up%20Dyadic.htm"
>
Collated <br />
Grade Up</a
>
</td>
<td class="function">⍋</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Grade%20Up%20Monadic.htm"
>Grade Up</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Grade%20Down%20Dyadic.htm"
>
Collated <br />
Grade Down</a
>
</td>
<td class="function">⍒</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Functions/Grade%20Down%20Monadic.htm"
>Grade Down</a
>
</td>
<td></td>
</tr>
</table>
<br />
</div>
<div>
<table>
<tr>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Operators/Each%20with%20Dyadic%20Operand.htm"
>Each</a
>
</td>
<td class="moperator">f¨</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Operators/Each%20with%20Monadic%20Operand.htm"
>Each</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Operators/Constant.htm"
>Constant</a
>
</td>
<td class="moperator">X⍨</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Operators/Constant.htm"
>Constant</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Operators/Commute.htm"
>Swap</a
>
</td>
<td class="moperator">f⍨</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Operators/Commute.htm"
>Self</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Operators/I%20Beam.htm"
>System<br/>
Service
</a
>
</td>
<td class="moperator">X⌶</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Operators/I%20Beam.htm"
>System<br/>
Service</a
>
</td>
<td></td>
</tr>
<tr>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Operators/Reduce%20N%20Wise.htm"
>
Reduce<br />
N-Wise </a
>
</td>
<td class="moperator">f/</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Operators/Reduce.htm"
>Reduce</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Operators/Reduce%20First%20N%20Wise.htm"
>
Reduce First<br />
N-Wise </a
>
</td>
<td class="moperator">f⌿</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Operators/Reduce%20First.htm"
>
Reduce <br />
First</a
>
</td>
<td></td>
<td></td>
<td class="moperator">f\</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Operators/Scan.htm"
>Scan</a
>
</td>
<td></td>
<td></td>
<td class="moperator">f⍀</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Operators/Scan%20First.htm"
>
Scan <br />
First</a
>
</td>
<td></td>
</tr>
<tr>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Operators/Key.htm"
>Key</a
>
</td>
<td class="moperator">f⌸</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Operators/Key.htm"
>
Key <br />
Indices</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Operators/Spawn.htm"
>Spawn</a
>
</td>
<td class="moperator">f&</td>
<td>
<a
href="https://help.dyalog.com/latest/Content/Language/Primitive%20Operators/Spawn.htm"
>Spawn</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/#Language/Primitive%20Operators/Axis%20with%20Dyadic%20Operand.htm"
>Axis</a
>
</td>
<td class="moperator">f[X]</td>
<td>
<a
href="https://help.dyalog.com/latest/#Language/Primitive%20Operators/Axis%20with%20Monadic%20Operand.htm"
>Axis</a
>
</td>
<td></td>
<td>
<a
href="https://help.dyalog.com/latest/#Language/Primitive%20Operators/Outer%20Product.htm"
>
Outer <br />
Product</a
>
</td>
<td class="moperator">∘.g</td>
<td></td>
<td></td>
</tr>
<tr
style="text-align: right; border-left: none; border-right: none"
>
<td style="color: white">0</td>
</tr>
<tr>
<td></td>