Each: Difference between revisions

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{{Built-in|Each|¨}} is a primitive [[monadic operator]] which applies its [[operand]] to each [[element]] of the [[arguments]], and returns an array whose elements are the results. If two arguments are given, their elements are matched using [[conformability]] rules.
{{Built-in|Each|¨}} is a [[primitive operator|primitive]] [[monadic operator]] which applies its [[operand]] to each [[element]] of the [[argument]]s, and returns an array whose elements are the results. If two arguments are given, their elements are matched using [[conformability]] rules.


Each is defined only in [[Nested array model|nested]] APLs. Some [[Flat array model|flat]] APLs obtain analogous functionality by using an [[Under]] operator with [[close composition]] along with the [[Function rank|rank]]-0 function [[Disclose]] (or Unbox). In [[SHARP APL]] this is written <source lang=apl inline>f¨></source>. In [[J]] it is <source lang=apl inline>f&.></source>.
Each is defined only in [[Nested array model|nested]] APLs. Some [[Flat array model|flat]] APLs obtain analogous functionality by using an [[Under]] operator with [[close composition]] along with the [[Function rank|rank]]-0 function [[Disclose]] (or Unbox). In [[SHARP APL]] this is written <source lang=apl inline>f¨></source>. In [[J]] it is <source lang=j inline>f&.></source>.


Each differs from the [[Rank operator]] with rank 0 in that the operand arguments and results are not enclosed. As the [[elements]] of a nested array they need not be [[scalar]].
Each differs from the [[Rank operator]] with rank 0 in that the operand arguments and results are not [[enclose]]d. As the [[elements]] of a nested array they need not be [[scalar]].


== External links ==
== External links ==
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* [https://help.dyalog.com/latest/index.htm#Language/Primitive%20Operators/Each%20with%20Monadic%20Operand.htm Dyalog] (monadic operand), [https://help.dyalog.com/latest/index.htm#Language/Primitive%20Operators/Each%20with%20Dyadic%20Operand.htm Dyalog] (dyadic operand)
* [https://help.dyalog.com/latest/index.htm#Language/Primitive%20Operators/Each%20with%20Monadic%20Operand.htm Dyalog] (monadic operand), [https://help.dyalog.com/latest/index.htm#Language/Primitive%20Operators/Each%20with%20Dyadic%20Operand.htm Dyalog] (dyadic operand)
* [http://microapl.com/apl_help/ch_020_020_900.htm APLX]
* [http://microapl.com/apl_help/ch_020_020_900.htm APLX]


{{APL built-ins}}
{{APL built-ins}}

Revision as of 14:20, 14 November 2019

¨

Each (¨) is a primitive monadic operator which applies its operand to each element of the arguments, and returns an array whose elements are the results. If two arguments are given, their elements are matched using conformability rules.

Each is defined only in nested APLs. Some flat APLs obtain analogous functionality by using an Under operator with close composition along with the rank-0 function Disclose (or Unbox). In SHARP APL this is written f¨>. In J it is f&.>.

Each differs from the Rank operator with rank 0 in that the operand arguments and results are not enclosed. As the elements of a nested array they need not be scalar.

External links

Lessons

Documentation


APL built-ins [edit]
Primitives (Timeline) Functions
Scalar
Monadic Conjugate ∙ Negate ∙ Signum ∙ Reciprocal ∙ Magnitude ∙ Exponential ∙ Natural Logarithm ∙ Floor ∙ Ceiling ∙ Factorial ∙ Not ∙ Pi Times ∙ Roll ∙ Type ∙ Imaginary ∙ Square Root ∙ Round
Dyadic Add ∙ Subtract ∙ Times ∙ Divide ∙ Residue ∙ Power ∙ Logarithm ∙ Minimum ∙ Maximum ∙ Binomial ∙ Comparison functions ∙ Boolean functions (And, Or, Nand, Nor) ∙ GCD ∙ LCM ∙ Circular ∙ Complex ∙ Root
Non-Scalar
Structural Shape ∙ Reshape ∙ Tally ∙ Depth ∙ Ravel ∙ Enlist ∙ Table ∙ Catenate ∙ Reverse ∙ Rotate ∙ Transpose ∙ Raze ∙ Mix ∙ Split ∙ Enclose ∙ Nest ∙ Cut (K) ∙ Pair ∙ Link ∙ Partitioned Enclose ∙ Partition
Selection First ∙ Pick ∙ Take ∙ Drop ∙ Unique ∙ Identity ∙ Stop ∙ Select ∙ Replicate ∙ Expand ∙ Set functions (Intersection ∙ Union ∙ Without) ∙ Bracket indexing ∙ Index ∙ Cartesian Product ∙ Sort
Selector Index generator ∙ Grade ∙ Index Of ∙ Interval Index ∙ Indices ∙ Deal ∙ Prefix and suffix vectors
Computational Match ∙ Not Match ∙ Membership ∙ Find ∙ Nub Sieve ∙ Encode ∙ Decode ∙ Matrix Inverse ∙ Matrix Divide ∙ Format ∙ Execute ∙ Materialise ∙ Range
Operators Monadic Each ∙ Commute ∙ Constant ∙ Replicate ∙ Expand ∙ Reduce ∙ Windowed Reduce ∙ Scan ∙ Outer Product ∙ Key ∙ I-Beam ∙ Spawn ∙ Function axis ∙ Identity (Null, Ident)
Dyadic 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)
Quad names Index origin ∙ Comparison tolerance ∙ Migration level ∙ Atomic vector
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