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Subarray: Difference between revisions
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:''The term sub-array may also be used to refer to an array [[cell]].'' | :''The term sub-array may also be used to refer to an array [[cell]] or a part of an array with lesser [[depth]] than the overall array.'' | ||
A '''subarray''' (or '''sub-array''') of an array is another array which can be formed by selecting a contiguous section along each [[axis]]. The subarrays of an array are all those that result from [[Bracket indexing|indexing]] that array by a full set of [[index]] arrays each of which is either a [[scalar]] or a [[vector]] of sequential indices. The term subarray is used loosely in APL and rarely defined directly. Depending on context, scalar indices may be allowed only for [[Axis ordering|leading]] axes or not at all. If scalar indices are not allowed than a subarray shares every [[axis]] with the array that contains it and has equal [[rank]] to it; we might call such subarrays ''equal-rank'' subarrays. Otherwise a subarray has rank less than or equal to its containing array. | A '''subarray''' (or '''sub-array''') of an array is another array which can be formed by selecting a contiguous section along each [[axis]]. The subarrays of an array are all those that result from [[Bracket indexing|indexing]] that array by a full set of [[index]] arrays each of which is either a [[scalar]] or a [[vector]] of sequential indices. The term subarray is used loosely in APL and rarely defined directly. Depending on context, scalar indices may be allowed only for [[Axis ordering|leading]] axes or not at all. If scalar indices are not allowed than a subarray shares every [[axis]] with the array that contains it and has equal [[rank]] to it; we might call such subarrays ''equal-rank'' subarrays. Otherwise a subarray has rank less than or equal to its containing array. | ||