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  <title>BQN: Ring Operator (`∘`)</title>
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<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
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<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
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