Difference between revisions of "Element Command"
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<noinclude>{{Manual Page|version=5.0}}</noinclude> | <noinclude>{{Manual Page|version=5.0}}</noinclude> | ||
{{command|cas=true|list}} | {{command|cas=true|list}} | ||
| − | ;Element[ | + | ;Element[ <List>, <Position of Element 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> yields ''3'', the second element of ''{1, 3, 2}''.</div>}} | :{{example| 1=<div><code><nowiki>Element[{1, 3, 2}, 2]</nowiki></code> yields ''3'', the second element of ''{1, 3, 2}''.</div>}} | ||
| Line 7: | Line 7: | ||
: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> yields ''-2'', the third element of the second row of <math>\begin{pmatrix}1&3&2\\0&3&-2\end{pmatrix}</math>.</div>}} | :{{example| 1=<div><code><nowiki>Element[{{1, 3, 2}, {0, 3, -2}}, 2, 3]</nowiki></code> yields ''-2'', the third element of the second row of <math>\begin{pmatrix}1&3&2\\0&3&-2\end{pmatrix}</math>.</div>}} | ||
| − | ;Element[ | + | ;Element[ <List>, <Index1>, <Index2>, ...] |
:Provided list is ''n''-dimensional list, one can specify up to ''n'' indices to obtain an element (or list of elements) at given coordinates. | :Provided list is ''n''-dimensional list, one can specify up to ''n'' indices to obtain an element (or list of elements) at given coordinates. | ||
:{{example|1=<div>Let ''<nowiki>L = {{{1, 2}, {3, 4}}, {{5, 6}, {7, 8}}}</nowiki>''. <div>Then <code><nowiki>Element[L, 1, 2, 1]</nowiki></code> yields ''3'', <code><nowiki>Element[L, 2, 2]</nowiki></code> yields ''{7, 8}''.</div></div>}} | :{{example|1=<div>Let ''<nowiki>L = {{{1, 2}, {3, 4}}, {{5, 6}, {7, 8}}}</nowiki>''. <div>Then <code><nowiki>Element[L, 1, 2, 1]</nowiki></code> yields ''3'', <code><nowiki>Element[L, 2, 2]</nowiki></code> yields ''{7, 8}''.</div></div>}} | ||
{{note| 1=This command only works, if the list or matrix contains elements of one object type (e. g. only numbers or only points).}} | {{note| 1=This command only works, if the list or matrix contains elements of one object type (e. g. only numbers or only points).}} | ||
==CAS Syntax== | ==CAS Syntax== | ||
| − | ;Element[ | + | ;Element[ <List>, <Position of Element 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[{a, b, c}, 2]</nowiki></code> yields ''b'', the second element of ''{a, b, c}''.</div>}} | :{{example| 1=<div><code><nowiki>Element[{a, b, c}, 2]</nowiki></code> yields ''b'', the second element of ''{a, b, c}''.</div>}} | ||
Revision as of 14:18, 22 August 2015
- Element[ <List>, <Position of Element n> ]
- Yields the nth element of the list.
- Example:
Element[{1, 3, 2}, 2]yields 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]yields -2, the third element of the second row of \begin{pmatrix}1&3&2\\0&3&-2\end{pmatrix}.
- Element[ <List>, <Index1>, <Index2>, ...]
- Provided list 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]yields 3,Element[L, 2, 2]yields {7, 8}.
Note: This command only works, if the list or matrix contains elements of one object type (e. g. only numbers or only points).
CAS Syntax
- Element[ <List>, <Position of Element n> ]
- Yields the nth element of the list.
- Example:
Element[{a, b, c}, 2]yields 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]yields f, the third element of the second row of\begin{pmatrix}a&b&c\\d&e&f\end{pmatrix}.
Note:
