Each

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¨

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.

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APL built-ins [edit]
Primitive functions
Scalar
Monadic ConjugateNegateSignumReciprocalMagnitudeExponentialNatural LogarithmFloorCeilingFactorialNotPi TimesRollType
Dyadic AddSubtractTimesDivideResiduePowerLogarithmMinimumMaximumBinomialComparison functionsBoolean functions (AndOrNandNor) ∙ CircleComplex
Non-Scalar
Structural ShapeReshapeTallyDepthRavelEnlistTableCatenateReverseRotateTransposeRazeMixSplitEncloseNestCut (K)PairPartitioned EnclosePartition
Selection FirstPickTakeDropUniqueIdentitySelectReplicateExpand ∙ Set functions (IntersectionUnionWithout) ∙ Bracket indexSquad Indexing
Selector Index generatorGrade UpGrade DownIndex OfInterval IndexIndicesDeal
Computational MatchNot MatchMembershipFindNub SieveBaseRepresentMatrix InverseMatrix DivideFormatExecuteMaterialise
Primitive operators Monadic EachCommuteConstantReplicateReduceWindowed ReduceScanOuter ProductKeyI-beamSpawnFunction axis
Dyadic Inner ProductPower operatorRank operatorBindBesideReverse ComposeAtopOverAtVariantStencil
Quad names
Arrays Index originMigration level
Functions
Operators