Difference between revisions of "Element Command"

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; Element[List, Number n]: Yields the ''n''<sup>th</sup> element of the list.
 
; Element[List, Number n]: Yields the ''n''<sup>th</sup> element of the list.
 
; Element[Matrix, Row, Column]: Yields the element of the matrix in the given row and column.
 
; Element[Matrix, Row, Column]: Yields the element of the matrix in the given row and column.
: {{Note| For this command to work, the list or matrix can contain elements of one object type only (e. g., only numbers or only points).}}
 
 
; Element[List L, Index1, Index2, ...]
 
; Element[List L, Index1, Index2, ...]
 
: Provided L is ''n''-dimensional list, one can specify up to ''n'' indices to obtain an element (or list of elements) at given coordinates.
 
: Provided L is ''n''-dimensional list, one can specify up to ''n'' indices to obtain an element (or list of elements) at given coordinates.
 
{{Example|1=Let <nowiki>L={{{1,2},{3,4}},{{5,6},{7,8}}}</nowiki>. Then <code>Element[L,1,2,1]</code> returns 3, <code>Element[L,2,2]</code> returns {7,8}.}}
 
{{Example|1=Let <nowiki>L={{{1,2},{3,4}},{{5,6},{7,8}}}</nowiki>. Then <code>Element[L,1,2,1]</code> returns 3, <code>Element[L,2,2]</code> returns {7,8}.}}
 +
: {{Note| For this command to work, the list or matrix can contain elements of one object type only (e. g., only numbers or only points.}}
 +
==Shorthand syntax==
 +
To get ''i''-th element of list ''L'' expression ''L(i)'' can be used, in case of multidimensional lists one can use ''L(i1,i2,...,ik)'' instead of <code>Element[L,i1,i2,..,ik]</code> . Note that this syntax works only for labelled lists, syntax
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<code>Element[Join[L,M],1,2,3]</code> is correct, but ''Join[L,M](1,2,3)'' doesn't work.

Revision as of 00:37, 22 July 2011


Element[List, Number n]
Yields the nth element of the list.
Element[Matrix, Row, Column]
Yields the element of the matrix in the given row and column.
Element[List L, Index1, Index2, ...]
Provided L is n-dimensional list, one can specify up to n indices to obtain an element (or list of elements) at given coordinates.
Example: Let L={{{1,2},{3,4}},{{5,6},{7,8}}}. Then Element[L,1,2,1] returns 3, Element[L,2,2] returns {7,8}.
Note: For this command to work, the list or matrix can contain elements of one object type only (e. g., only numbers or only points.

Shorthand syntax

To get i-th element of list L expression L(i) can be used, in case of multidimensional lists one can use L(i1,i2,...,ik) instead of Element[L,i1,i2,..,ik] . Note that this syntax works only for labelled lists, syntax Element[Join[L,M],1,2,3] is correct, but Join[L,M](1,2,3) doesn't work.

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