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The Each operator (<code>¨</code>) is a [[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. | The Each operator (<code>¨</code>) is a [[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 [[Function rank|rank]]-0 function [[Disclose]] (or Unbox). In [[SHARP APL]] this is written <code>f¨></code>. In [[J]] it is <code>f&.></code>. | 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 <code>f¨></code>. In [[J]] it is <code>f&.></code>. | ||
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 enclosed. As the [[elements]] of a nested array they need not be [[scalar]]. | ||
Revision as of 12:12, 18 October 2019
The Each operator (¨) is a 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.