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authorrazetime <raghuallthetime@hotmail.com>2022-01-19 22:48:16 +0530
committerrazetime <raghuallthetime@hotmail.com>2022-01-19 22:48:16 +0530
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+<head>
+ <link href="../favicon.ico" rel="shortcut icon" type="image/x-icon"/>
+ <link href="../style.css" rel="stylesheet"/>
+ <title>BQN: Ring Operator (`∘`)</title>
+</head>
+<div class="nav">(<a href="https://github.com/mlochbaum/BQN">github</a>) / <a href="../index.html">BQN</a> / <a href="index.html">help</a></div>
+<h1 id="ring-operator-"><a class="header" href="#ring-operator-">Ring Operator (<code><span class='Modifier2'>∘</span></code>)</a></h1>
+<h2 id="--atop"><a class="header" href="#--atop"><code><span class='Function'>𝔽</span><span class='Modifier2'>∘</span><span class='Function'>𝔾</span> <span class='Value'>𝕩</span></code>: Atop</a></h2>
+<p>Apply <code><span class='Function'>𝔾</span></code> to <code><span class='Value'>𝕩</span></code>, then apply <code><span class='Function'>𝔽</span></code> (<code><span class='Function'>𝔽</span> <span class='Function'>𝔾</span> <span class='Value'>𝕩</span></code>).</p>
+<h2 id="-and--must-be-monadic"><a class="header" href="#-and--must-be-monadic"><code><span class='Function'>𝔽</span></code> and <code><span class='Function'>𝔾</span></code> must be monadic.</a></h2>
+<a class="replLink" title="Open in the REPL" target="_blank" href="https://mlochbaum.github.io/BQN/try.html#code=ICAgLeKImC0gNQoKICAgLSAtIDU=">↗️</a><pre> <span class='Function'>-</span><span class='Modifier2'>∘</span><span class='Function'>-</span> <span class='Number'>5</span>
+5
+
+ <span class='Function'>-</span> <span class='Function'>-</span> <span class='Number'>5</span>
+5
+</pre>
+<h2 id="---dyadic-atop"><a class="header" href="#---dyadic-atop"><code><span class='Value'>𝕨</span> <span class='Function'>𝔽</span><span class='Modifier2'>∘</span><span class='Function'>𝔾</span> <span class='Value'>𝕩</span></code>: Dyadic Atop</a></h2>
+<p>Apply <code><span class='Function'>𝔾</span></code> to <code><span class='Value'>𝕨</span></code> and <code><span class='Value'>𝕩</span></code>, then apply <code><span class='Function'>𝔽</span></code> (<code><span class='Function'>𝔽</span> <span class='Paren'>(</span><span class='Value'>𝕨</span> <span class='Function'>𝔾</span> <span class='Value'>𝕩</span><span class='Paren'>)</span></code>).</p>
+<h2 id="-must-be-monadic-and--must-be-dyadic"><a class="header" href="#-must-be-monadic-and--must-be-dyadic"><code><span class='Function'>𝔽</span></code> must be monadic, and <code><span class='Function'>𝔾</span></code> must be dyadic.</a></h2>
+<a class="replLink" title="Open in the REPL" target="_blank" href="https://mlochbaum.github.io/BQN/try.html#code=ICAgMSAt4oiYKyAyCgogICAxIC0gKyAyCgogICAtIDEgKyAy">↗️</a><pre> <span class='Number'>1</span> <span class='Function'>-</span><span class='Modifier2'>∘</span><span class='Function'>+</span> <span class='Number'>2</span>
+¯3
+
+ <span class='Number'>1</span> <span class='Function'>-</span> <span class='Function'>+</span> <span class='Number'>2</span>
+¯1
+
+ <span class='Function'>-</span> <span class='Number'>1</span> <span class='Function'>+</span> <span class='Number'>2</span>
+¯3
+</pre>