- Main article: Comparison function
Greater than (>
) is a comparison function which tests whether the left argument is tolerantly greater than and not equal to the right argument, returning 1 if this is the case and 0 otherwise. It is the negation of Less than or Equal to (<syntaxhighlight lang=apl inline>≤</source>).
Boolean function
When the arguments to Greater than are Boolean, it is the material nonimplication Boolean function, also known as the NIMPLY gate:
<syntaxhighlight lang=apl inline>></source> |
<syntaxhighlight lang=apl inline>0</source> |
<syntaxhighlight lang=apl inline>1</source>
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<syntaxhighlight lang=apl inline>0</source>
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<syntaxhighlight lang=apl inline>0</source> |
<syntaxhighlight lang=apl inline>0</source>
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<syntaxhighlight lang=apl inline>1</source>
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<syntaxhighlight lang=apl inline>1</source> |
<syntaxhighlight lang=apl inline>0</source>
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In the context of logic, it can be read as but not.
External links
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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