Difference between revisions of "Element Command"

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;Element[Matrix, Row, Column]
 
;Element[Matrix, Row, Column]
 
:Yields the element of the matrix in the given row and column.
 
:Yields the element of the matrix in the given row and column.
:{{example| 1=<div><code><nowiki>Element[{{1, 3, 2}, {0, 3, -2}}, 2, 3]</nowiki></code> gives ''-2'', the third element of the second row of ''{{1, 3, 2}, {0, 3, -2}}''.</div>}}
+
:{{example| 1=<div><code><nowiki>Element[{{1, 3, 2}, {0, 3, -2}}, 2, 3]</nowiki></code> gives ''-2'', the third element of the second row of <math>\begin{pmatrix}1&3&2\\0&3&-2\end{pmatrix}</math>.</div>}}
 
;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.
Line 14: Line 14:
 
;Element[List, Number n]
 
;Element[List, Number n]
 
:Yields the ''n''<sup>th</sup> element of the list.
 
:Yields the ''n''<sup>th</sup> element of the list.
:{{example| 1=<div><code><nowiki>Element[{1, 3, 2}, 2]</nowiki></code> gives ''3'', the second element of ''{1, 3, 2}''.</div>}}
+
:{{example| 1=<div><code><nowiki>Element[{a, b, c}, 2]</nowiki></code> gives ''b'', the second element of ''{a, b, c}''.</div>}}
 
;Element[Matrix, Row, Column]
 
;Element[Matrix, Row, Column]
 
:Yields the element of the matrix in the given row and column.
 
:Yields the element of the matrix in the given row and column.
:{{example| 1=<div><code><nowiki>Element[{{1, 3, 2}, {0, 3, -2}}, 2, 3]</nowiki></code> gives ''-2'', the third element of the second row of ''{{1, 3, 2}, {0, 3, -2}}''.</div>}}
+
:{{example| 1=<div><code><nowiki>Element[{{a, b, c}, {d, e, f}}, 2, 3]</nowiki></code> gives ''f'', the third element of the second row of<math>\begin{pmatrix}a&b&c\\d&e&f\end{pmatrix}</math>.</div>}}

Revision as of 12:37, 18 August 2011


Element[List, Number n]
Yields the nth element of the list.
Example:
Element[{1, 3, 2}, 2] gives 3, the second element of {1, 3, 2}.
Element[Matrix, Row, Column]
Yields the element of the matrix in the given row and column.
Example:
Element[{{1, 3, 2}, {0, 3, -2}}, 2, 3] gives -2, the third element of the second row of \begin{pmatrix}1&3&2\\0&3&-2\end{pmatrix}.
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).

CAS Syntax

Element[List, Number n]
Yields the nth element of the list.
Example:
Element[{a, b, c}, 2] gives b, the second element of {a, b, c}.
Element[Matrix, Row, Column]
Yields the element of the matrix in the given row and column.
Example:
Element[{{a, b, c}, {d, e, f}}, 2, 3] gives f, the third element of the second row of\begin{pmatrix}a&b&c\\d&e&f\end{pmatrix}.
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