Bind (∘
) is a primitive operator. It shares the glyph Jot (<syntaxhighlight lang=apl inline>∘</source>) with Beside; in many dialects the two operators share the name Compose. <syntaxhighlight lang=apl inline>∘</source> means Bind if any operand is an array. Its derived functions can only be called monadically.
Called with an array left operand <syntaxhighlight lang=apl inline>A</source> and function right operand <syntaxhighlight lang=apl inline>g</source>, <syntaxhighlight lang=apl inline>(A∘g) X</source> is equivalent to <syntaxhighlight lang=apl inline>A g X</source>.
Called with a function left operand <syntaxhighlight lang=apl inline>f</source> and array right operand <syntaxhighlight lang=apl inline>B</source>, <syntaxhighlight lang=apl inline>(f∘B) X</source> is equivalent to <syntaxhighlight lang=apl inline>X f B</source>.
Common usage
Bind is used to create a derived function with a single constant argument, particularly in tacit programming:
Try it online!<syntaxhighlight lang=apl>
Inc←+∘1
Inc 1 2 3
2 3 4
</source>
External links
Lessons
Documentation
APL built-ins [edit]
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Primitives (Timeline) |
Functions
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Scalar
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Monadic
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Conjugate ∙ Negate ∙ Signum ∙ Reciprocal ∙ Magnitude ∙ Exponential ∙ Natural Logarithm ∙ Floor ∙ Ceiling ∙ Factorial ∙ Not ∙ Pi Times ∙ Roll ∙ Type ∙ Imaginary ∙ Square Root ∙ Round
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Dyadic
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Add ∙ Subtract ∙ Times ∙ Divide ∙ Residue ∙ Power ∙ Logarithm ∙ Minimum ∙ Maximum ∙ Binomial ∙ Comparison functions ∙ Boolean functions (And, Or, Nand, Nor) ∙ GCD ∙ LCM ∙ Circular ∙ Complex ∙ Root
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Non-Scalar
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Structural
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Shape ∙ Reshape ∙ Tally ∙ Depth ∙ Ravel ∙ Enlist ∙ Table ∙ Catenate ∙ Reverse ∙ Rotate ∙ Transpose ∙ Raze ∙ Mix ∙ Split ∙ Enclose ∙ Nest ∙ Cut (K) ∙ Pair ∙ Link ∙ Partitioned Enclose ∙ Partition
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Selection
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First ∙ Pick ∙ Take ∙ Drop ∙ Unique ∙ Identity ∙ Stop ∙ Select ∙ Replicate ∙ Expand ∙ Set functions (Intersection ∙ Union ∙ Without) ∙ Bracket indexing ∙ Index ∙ Cartesian Product ∙ Sort
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Selector
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Index generator ∙ Grade ∙ Index Of ∙ Interval Index ∙ Indices ∙ Deal ∙ Prefix and suffix vectors
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Computational
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Match ∙ Not Match ∙ Membership ∙ Find ∙ Nub Sieve ∙ Encode ∙ Decode ∙ Matrix Inverse ∙ Matrix Divide ∙ Format ∙ Execute ∙ Materialise ∙ Range
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Operators |
Monadic
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Each ∙ Commute ∙ Constant ∙ Replicate ∙ Expand ∙ Reduce ∙ Windowed Reduce ∙ Scan ∙ Outer Product ∙ Key ∙ I-Beam ∙ Spawn ∙ Function axis ∙ Identity (Null, Ident)
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Dyadic
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Bind ∙ Compositions (Compose, Reverse Compose, Beside, Withe, Atop, Over) ∙ Inner Product ∙ Determinant ∙ Power ∙ At ∙ Under ∙ Rank ∙ Depth ∙ Variant ∙ Stencil ∙ Cut ∙ Direct definition (operator) ∙ Identity (Lev, Dex)
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Quad names
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Index origin ∙ Comparison tolerance ∙ Migration level ∙ Atomic vector
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