|
The symmetric Indexing Function
|
|
Description
|
|
|
•
|
In the construction of 2-dimensional objects, the symmetric indexing function specifies that the (i, j)th element equals the (j, i)th element.
|
|
•
|
In general, this indexing function specifies that all entries of an object whose indices are equal under permutations are the same.
|
|
|
The indices are rearranged according to a system-determined canonical ordering.
|
|
|
|
Examples
|
|
|
>
|
|
|
![M := Matrix([[0, 0, 0], [0, 0, 0], [0, 0, 0]])](/support/helpjp/helpview.aspx?si=5539/file00560/math51.png)
| (1) |
|
>
|
![M[1, 2] := 5](/support/helpjp/helpview.aspx?si=5539/file00560/math55.png)
|
|
![M[1, 2] := 5](/support/helpjp/helpview.aspx?si=5539/file00560/math58.png)
| (2) |
|
>
|
|
|
![Matrix([[0, 5, 0], [5, 0, 0], [0, 0, 0]])](/support/helpjp/helpview.aspx?si=5539/file00560/math65.png)
| (3) |
|
>
|
|
|
>
|
|
|
![Array([[0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0]])](/support/helpjp/helpview.aspx?si=5539/file00560/math76.png)
| (4) |
|
>
|
![A[3, 4] := x](/support/helpjp/helpview.aspx?si=5539/file00560/math80.png)
|
|
>
|
![A[4, 3]](/support/helpjp/helpview.aspx?si=5539/file00560/math84.png)
|
|
| (5) |
|
>
|
![A[4, 3] := y](/support/helpjp/helpview.aspx?si=5539/file00560/math91.png)
|
|
>
|
![A[3, 4]](/support/helpjp/helpview.aspx?si=5539/file00560/math95.png)
|
|
| (6) |
|
>
|
|
|
![Array([[0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, y, 0], [0, 0, y, 0, 0], [0, 0, 0, 0, 0]])](/support/helpjp/helpview.aspx?si=5539/file00560/math105.png)
| (7) |
|
>
|
|
|
>
|
![T[function, continuous, odd] := f](/support/helpjp/helpview.aspx?si=5539/file00560/math113.png)
|
|
>
|
![T[odd, continuous, function]](/support/helpjp/helpview.aspx?si=5539/file00560/math117.png)
|
|
| (8) |
|
|
Download Help Document
Was this information helpful?
