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</tbody>
</table>
<h2 id="modifiers">Modifiers</h2>
+<svg viewBox='0 0 850 530'>
+ <g font-size='20px' text-anchor='middle' transform='translate(145,20)'>
+ <rect class='code' stroke-width='1' rx='12' x='-120.4' y='1' width='240.8' height='205'/>
+ <text dy='0.32em' y='223' fill='currentColor'>Atop</text>
+ <g font-size='21px' font-family='monospace' transform='translate(-60.87,25)'>
+ <text dy='0.32em' y='155' font-size='19px'><tspan class='Function'>𝔽</tspan><tspan class='Modifier2'>∘</tspan><tspan class='Function'>𝔾</tspan> <tspan class='Value'>𝕩</tspan></text>
+ <path class='yellow' style='fill:none' stroke-width='2' d='M0 0L0 57'/>
+ <path class='yellow' style='fill:none' stroke-width='2' d='M0 57L0 114'/>
+ <circle r='12' class='code' stroke-width='0' cx='0' cy='0'/>
+ <circle r='12' class='code' stroke-width='0' cx='0' cy='57'/>
+ <circle r='12' class='code' stroke-width='0' cx='0' cy='114'/>
+ <text dy='0.32em' x='0' y='0'><tspan class='Function'>𝔽</tspan></text>
+ <text dy='0.32em' x='0' y='57'><tspan class='Function'>𝔾</tspan></text>
+ <text dy='0.32em' x='0' y='114'><tspan class='Value'>𝕩</tspan></text>
+ </g>
+ <g font-size='21px' font-family='monospace' transform='translate(60.87,25)'>
+ <text dy='0.32em' y='155' font-size='19px'><tspan class='Value'>𝕨</tspan> <tspan class='Function'>𝔽</tspan><tspan class='Modifier2'>∘</tspan><tspan class='Function'>𝔾</tspan> <tspan class='Value'>𝕩</tspan></text>
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+ <path class='yellow' style='fill:none' stroke-width='2' d='M0 57L-32 114'/>
+ <path class='yellow' style='fill:none' stroke-width='2' d='M0 57L32 114'/>
+ <circle r='12' class='code' stroke-width='0' cx='0' cy='0'/>
+ <circle r='12' class='code' stroke-width='0' cx='0' cy='57'/>
+ <circle r='12' class='code' stroke-width='0' cx='-32' cy='114'/>
+ <circle r='12' class='code' stroke-width='0' cx='32' cy='114'/>
+ <text dy='0.32em' x='0' y='0'><tspan class='Function'>𝔽</tspan></text>
+ <text dy='0.32em' x='0' y='57'><tspan class='Function'>𝔾</tspan></text>
+ <text dy='0.32em' x='-32' y='114'><tspan class='Value'>𝕨</tspan></text>
+ <text dy='0.32em' x='32' y='114'><tspan class='Value'>𝕩</tspan></text>
+ </g>
+ </g>
+ <g font-size='20px' text-anchor='middle' transform='translate(425,20)'>
+ <rect class='code' stroke-width='1' rx='12' x='-120.4' y='1' width='240.8' height='205'/>
+ <text dy='0.32em' y='223' fill='currentColor'>Over</text>
+ <g font-size='21px' font-family='monospace' transform='translate(-60.87,25)'>
+ <text dy='0.32em' y='155' font-size='19px'><tspan class='Function'>𝔽</tspan><tspan class='Modifier2'>β—‹</tspan><tspan class='Function'>𝔾</tspan> <tspan class='Value'>𝕩</tspan></text>
+ <path class='yellow' style='fill:none' stroke-width='2' d='M0 0L0 57'/>
+ <path class='yellow' style='fill:none' stroke-width='2' d='M0 57L0 114'/>
+ <circle r='12' class='code' stroke-width='0' cx='0' cy='0'/>
+ <circle r='12' class='code' stroke-width='0' cx='0' cy='57'/>
+ <circle r='12' class='code' stroke-width='0' cx='0' cy='114'/>
+ <text dy='0.32em' x='0' y='0'><tspan class='Function'>𝔽</tspan></text>
+ <text dy='0.32em' x='0' y='57'><tspan class='Function'>𝔾</tspan></text>
+ <text dy='0.32em' x='0' y='114'><tspan class='Value'>𝕩</tspan></text>
+ </g>
+ <g font-size='21px' font-family='monospace' transform='translate(60.87,25)'>
+ <text dy='0.32em' y='155' font-size='19px'><tspan class='Value'>𝕨</tspan> <tspan class='Function'>𝔽</tspan><tspan class='Modifier2'>β—‹</tspan><tspan class='Function'>𝔾</tspan> <tspan class='Value'>𝕩</tspan></text>
+ <path class='yellow' style='fill:none' stroke-width='2' d='M0 0L-32 57'/>
+ <path class='yellow' style='fill:none' stroke-width='2' d='M-32 57L-32 114'/>
+ <path class='yellow' style='fill:none' stroke-width='2' d='M0 0L32 57'/>
+ <path class='yellow' style='fill:none' stroke-width='2' d='M32 57L32 114'/>
+ <circle r='12' class='code' stroke-width='0' cx='0' cy='0'/>
+ <circle r='12' class='code' stroke-width='0' cx='-32' cy='57'/>
+ <circle r='12' class='code' stroke-width='0' cx='32' cy='57'/>
+ <circle r='12' class='code' stroke-width='0' cx='-32' cy='114'/>
+ <circle r='12' class='code' stroke-width='0' cx='32' cy='114'/>
+ <text dy='0.32em' x='0' y='0'><tspan class='Function'>𝔽</tspan></text>
+ <text dy='0.32em' x='-32' y='57'><tspan class='Function'>𝔾</tspan></text>
+ <text dy='0.32em' x='32' y='57'><tspan class='Function'>𝔾</tspan></text>
+ <text dy='0.32em' x='-32' y='114'><tspan class='Value'>𝕨</tspan></text>
+ <text dy='0.32em' x='32' y='114'><tspan class='Value'>𝕩</tspan></text>
+ </g>
+ </g>
+ <g font-size='20px' text-anchor='middle' transform='translate(705,20)'>
+ <rect class='code' stroke-width='1' rx='12' x='-120.4' y='1' width='240.8' height='205'/>
+ <text dy='0.32em' y='223' fill='currentColor'>Constant</text>
+ <g font-size='21px' font-family='monospace' transform='translate(-60.87,25)'>
+ <text dy='0.32em' y='155' font-size='19px'><tspan class='Value'>𝕗</tspan><tspan class='Modifier'>Λ™</tspan> <tspan class='Value'>𝕩</tspan></text>
+ <path class='yellow' style='fill:none' stroke-width='2' d='M0 0L0 57'/>
+ <circle r='12' class='code' stroke-width='0' cx='0' cy='57'/>
+ <circle r='12' class='code' stroke-width='0' cx='0' cy='114'/>
+ <text dy='0.32em' x='0' y='57'><tspan class='Value'>𝕗</tspan></text>
+ <text dy='0.32em' x='0' y='114'><tspan class='Value'>𝕩</tspan></text>
+ </g>
+ <g font-size='21px' font-family='monospace' transform='translate(60.87,25)'>
+ <text dy='0.32em' y='155' font-size='19px'><tspan class='Value'>𝕨</tspan> <tspan class='Value'>𝕗</tspan><tspan class='Modifier'>Λ™</tspan> <tspan class='Value'>𝕩</tspan></text>
+ <path class='yellow' style='fill:none' stroke-width='2' d='M0 0L0 57'/>
+ <circle r='12' class='code' stroke-width='0' cx='0' cy='57'/>
+ <circle r='12' class='code' stroke-width='0' cx='-32' cy='114'/>
+ <circle r='12' class='code' stroke-width='0' cx='32' cy='114'/>
+ <text dy='0.32em' x='0' y='57'><tspan class='Value'>𝕗</tspan></text>
+ <text dy='0.32em' x='-32' y='114'><tspan class='Value'>𝕨</tspan></text>
+ <text dy='0.32em' x='32' y='114'><tspan class='Value'>𝕩</tspan></text>
+ </g>
+ </g>
+ <g font-size='20px' text-anchor='middle' transform='translate(145,280)'>
+ <rect class='code' stroke-width='1' rx='12' x='-120.4' y='1' width='240.8' height='205'/>
+ <text dy='0.32em' y='223' fill='currentColor'>Before</text>
+ <g font-size='21px' font-family='monospace' transform='translate(-60.87,25)'>
+ <text dy='0.32em' y='155' font-size='19px'><tspan class='Function'>𝔽</tspan><tspan class='Modifier2'>⊸</tspan><tspan class='Function'>𝔾</tspan> <tspan class='Value'>𝕩</tspan></text>
+ <path class='yellow' style='fill:none' stroke-width='2' d='M0 0L-32 57'/>
+ <path class='yellow' style='fill:none' stroke-width='2' d='M-32 57L0 114'/>
+ <path class='yellow' style='fill:none' stroke-width='2' d='M0 0Q41.6 57 0 114'/>
+ <circle r='12' class='code' stroke-width='0' cx='0' cy='0'/>
+ <circle r='12' class='code' stroke-width='0' cx='-32' cy='57'/>
+ <circle r='12' class='code' stroke-width='0' cx='0' cy='114'/>
+ <text dy='0.32em' x='0' y='0'><tspan class='Function'>𝔾</tspan></text>
+ <text dy='0.32em' x='-32' y='57'><tspan class='Function'>𝔽</tspan></text>
+ <text dy='0.32em' x='0' y='114'><tspan class='Value'>𝕩</tspan></text>
+ </g>
+ <g font-size='21px' font-family='monospace' transform='translate(60.87,25)'>
+ <text dy='0.32em' y='155' font-size='19px'><tspan class='Value'>𝕨</tspan> <tspan class='Function'>𝔽</tspan><tspan class='Modifier2'>⊸</tspan><tspan class='Function'>𝔾</tspan> <tspan class='Value'>𝕩</tspan></text>
+ <path class='yellow' style='fill:none' stroke-width='2' d='M0 0L-32 57'/>
+ <path class='yellow' style='fill:none' stroke-width='2' d='M-32 57L-32 114'/>
+ <path class='yellow' style='fill:none' stroke-width='2' d='M0 0C40 57 32 51.3 32 114'/>
+ <circle r='12' class='code' stroke-width='0' cx='0' cy='0'/>
+ <circle r='12' class='code' stroke-width='0' cx='-32' cy='57'/>
+ <circle r='12' class='code' stroke-width='0' cx='-32' cy='114'/>
+ <circle r='12' class='code' stroke-width='0' cx='32' cy='114'/>
+ <text dy='0.32em' x='0' y='0'><tspan class='Function'>𝔾</tspan></text>
+ <text dy='0.32em' x='-32' y='57'><tspan class='Function'>𝔽</tspan></text>
+ <text dy='0.32em' x='-32' y='114'><tspan class='Value'>𝕨</tspan></text>
+ <text dy='0.32em' x='32' y='114'><tspan class='Value'>𝕩</tspan></text>
+ </g>
+ </g>
+ <g font-size='20px' text-anchor='middle' transform='translate(425,280)'>
+ <rect class='code' stroke-width='1' rx='12' x='-120.4' y='1' width='240.8' height='205'/>
+ <text dy='0.32em' y='223' fill='currentColor'>After</text>
+ <g font-size='21px' font-family='monospace' transform='translate(-60.87,25)'>
+ <text dy='0.32em' y='155' font-size='19px'><tspan class='Function'>𝔽</tspan><tspan class='Modifier2'>⟜</tspan><tspan class='Function'>𝔾</tspan> <tspan class='Value'>𝕩</tspan></text>
+ <path class='yellow' style='fill:none' stroke-width='2' d='M0 0Q-41.6 57 0 114'/>
+ <path class='yellow' style='fill:none' stroke-width='2' d='M0 0L32 57'/>
+ <path class='yellow' style='fill:none' stroke-width='2' d='M32 57L0 114'/>
+ <circle r='12' class='code' stroke-width='0' cx='0' cy='0'/>
+ <circle r='12' class='code' stroke-width='0' cx='32' cy='57'/>
+ <circle r='12' class='code' stroke-width='0' cx='0' cy='114'/>
+ <text dy='0.32em' x='0' y='0'><tspan class='Function'>𝔽</tspan></text>
+ <text dy='0.32em' x='32' y='57'><tspan class='Function'>𝔾</tspan></text>
+ <text dy='0.32em' x='0' y='114'><tspan class='Value'>𝕩</tspan></text>
+ </g>
+ <g font-size='21px' font-family='monospace' transform='translate(60.87,25)'>
+ <text dy='0.32em' y='155' font-size='19px'><tspan class='Value'>𝕨</tspan> <tspan class='Function'>𝔽</tspan><tspan class='Modifier2'>⟜</tspan><tspan class='Function'>𝔾</tspan> <tspan class='Value'>𝕩</tspan></text>
+ <path class='yellow' style='fill:none' stroke-width='2' d='M0 0C-40 57 -32 51.3 -32 114'/>
+ <path class='yellow' style='fill:none' stroke-width='2' d='M0 0L32 57'/>
+ <path class='yellow' style='fill:none' stroke-width='2' d='M32 57L32 114'/>
+ <circle r='12' class='code' stroke-width='0' cx='0' cy='0'/>
+ <circle r='12' class='code' stroke-width='0' cx='32' cy='57'/>
+ <circle r='12' class='code' stroke-width='0' cx='-32' cy='114'/>
+ <circle r='12' class='code' stroke-width='0' cx='32' cy='114'/>
+ <text dy='0.32em' x='0' y='0'><tspan class='Function'>𝔽</tspan></text>
+ <text dy='0.32em' x='32' y='57'><tspan class='Function'>𝔾</tspan></text>
+ <text dy='0.32em' x='-32' y='114'><tspan class='Value'>𝕨</tspan></text>
+ <text dy='0.32em' x='32' y='114'><tspan class='Value'>𝕩</tspan></text>
+ </g>
+ </g>
+ <g font-size='20px' text-anchor='middle' transform='translate(705,280)'>
+ <rect class='code' stroke-width='1' rx='12' x='-120.4' y='1' width='240.8' height='205'/>
+ <text dy='0.32em' y='223' fill='currentColor'>Self/Swap</text>
+ <g font-size='21px' font-family='monospace' transform='translate(-60.87,25)'>
+ <text dy='0.32em' y='155' font-size='19px'><tspan class='Function'>𝔽</tspan><tspan class='Modifier'>˜</tspan> <tspan class='Value'>𝕩</tspan></text>
+ <path class='yellow' style='fill:none' stroke-width='2' d='M0 0Q-41.6 57 0 114'/>
+ <path class='yellow' style='fill:none' stroke-width='2' d='M0 0Q41.6 57 0 114'/>
+ <circle r='12' class='code' stroke-width='0' cx='0' cy='0'/>
+ <circle r='12' class='code' stroke-width='0' cx='0' cy='114'/>
+ <text dy='0.32em' x='0' y='0'><tspan class='Function'>𝔽</tspan></text>
+ <text dy='0.32em' x='0' y='114'><tspan class='Value'>𝕩</tspan></text>
+ </g>
+ <g font-size='21px' font-family='monospace' transform='translate(60.87,25)'>
+ <text dy='0.32em' y='155' font-size='19px'><tspan class='Value'>𝕨</tspan> <tspan class='Function'>𝔽</tspan><tspan class='Modifier'>˜</tspan> <tspan class='Value'>𝕩</tspan></text>
+ <path class='yellow' style='fill:none' stroke-width='2' d='M0 0C-40 28.5 -0 57 32 114'/>
+ <path class='yellow' style='fill:none' stroke-width='2' d='M0 0C40 28.5 0 57 -32 114'/>
+ <circle r='12' class='code' stroke-width='0' cx='0' cy='0'/>
+ <circle r='12' class='code' stroke-width='0' cx='-32' cy='114'/>
+ <circle r='12' class='code' stroke-width='0' cx='32' cy='114'/>
+ <text dy='0.32em' x='0' y='0'><tspan class='Function'>𝔽</tspan></text>
+ <text dy='0.32em' x='-32' y='114'><tspan class='Value'>𝕨</tspan></text>
+ <text dy='0.32em' x='32' y='114'><tspan class='Value'>𝕩</tspan></text>
+ </g>
+ </g>
+</svg>
+
<p><em>Combinators</em> only control the application of functions. Because a non-function operand applies as a constant function, some combinators have extra meanings when passed a constant. For example, <code><span class='Number'>0</span><span class='Modifier'>˜</span></code> is identical to <code><span class='Number'>0</span><span class='Modifier'>Λ™</span></code>β€”a constant function that always returns 0β€”and <code><span class='Number'>0</span><span class='Modifier2'>⊸</span><span class='Function'>&lt;</span></code> is the function that tests whether its right argument is greater than 0.</p>
<table>
<thead>
generated by cgit v1.2.3 (git 2.25.1) at 2026-01-16 12:38:13 +0000