Difference between revisions of "Manuals/calci/CONFERENCE"
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==Description== | ==Description== | ||
| + | *This function shows the matrix which is satisfying the property of Conference. | ||
| + | *A Conference matrix is a square matrix C with diagonal entries 0 and the off diagonal entries are +1 and -1. | ||
| + | *Here the argument MATRIX("conference") is displaying the conference matrix of order 3. | ||
| + | *Also users can get different order of matrices. | ||
| + | *Conference matrices are of two types: | ||
| + | *1.Symmetric conference matrices. | ||
| + | *2.Skew conference matrices | ||
| + | |||
| + | ==Examples== | ||
| + | *MATRIX("conference") = 0 | ||
| + | *MATRIX("conference",3) | ||
| + | {| class="wikitable" | ||
| + | |- | ||
| + | | 0 || 1 || 1 | ||
| + | |- | ||
| + | | 1 || 0 || 1 | ||
| + | |- | ||
| + | | 1 || -1 || 0 | ||
| + | |} | ||
| + | *MATRIX("conference",5) | ||
| + | {| class="wikitable" | ||
| + | |- | ||
| + | | 0 || 1 || -1 || -1 ||1 | ||
| + | |- | ||
| + | | 1 || 0 || 1 || 1 || 1 | ||
| + | |- | ||
| + | | -1 || 1 || 0 || -1 || -1 | ||
| + | |- | ||
| + | | -1 || 1 || -1 || 0 || -1 | ||
| + | |- | ||
| + | | 1 || 1 || 1 || 1 || 0 | ||
| + | |} | ||
| + | |||
| + | ==See Also== | ||
| + | *[[Manuals/calci/ANTIDIAGONAL| ANTIDIAGONAL]] | ||
| + | *[[Manuals/calci/ARROWHEAD| ARROWHEAD]] | ||
| + | |||
| + | ==References== | ||
| + | *[http://www.maths.qmul.ac.uk/~pjc/csgnotes/conftalk.pdf Conference Matrix] | ||
Latest revision as of 00:44, 26 October 2015
MATRIX("CONFERENCE",order)
- is the order of the Conference matrix.
is the order of the Conference matrix.Description
- This function shows the matrix which is satisfying the property of Conference.
- A Conference matrix is a square matrix C with diagonal entries 0 and the off diagonal entries are +1 and -1.
- Here the argument MATRIX("conference") is displaying the conference matrix of order 3.
- Also users can get different order of matrices.
- Conference matrices are of two types:
- 1.Symmetric conference matrices.
- 2.Skew conference matrices
Examples
- MATRIX("conference") = 0
- MATRIX("conference",3)
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | -1 | 0 |
- MATRIX("conference",5)
| 0 | 1 | -1 | -1 | 1 |
| 1 | 0 | 1 | 1 | 1 |
| -1 | 1 | 0 | -1 | -1 |
| -1 | 1 | -1 | 0 | -1 |
| 1 | 1 | 1 | 1 | 0 |