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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>
<p><code><span class='Function'>𝔽</span></code> and <code><span class='Function'>𝔾</span></code> must be monadic.</p>
<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>
<p><code><span class='Function'>𝔽</span></code> must be monadic, and <code><span class='Function'>𝔾</span></code> must be dyadic.</p>
<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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