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Manuals/calci/MOORE
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Revision as of 15:57, 30 April 2015
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15:57, 30 April 2015
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*The Moore matrix has successive powers of the applied to the first column, so it is an mxn matrix of the form:
*The Moore matrix has successive powers of the applied to the first column, so it is an mxn matrix of the form:
<math>\begin{bmatrix}
<math>\begin{bmatrix}
−
\alpha_1 & {\alpha_1}^
{
q
}
&\cdots & {\alpha_1}^
{
q
}
^{n-1} \\
+
\alpha_1 & {\alpha_1}^q &\cdots & {\alpha_1}^q^{n-1} \\
−
\alpha_2 & {\alpha_2}^
{
q
}
&\cdots & {\alpha_2}^
{
q
}
^{n-1} \\
+
\alpha_2 & {\alpha_2}^q &\cdots & {\alpha_2}^q^{n-1} \\
−
\alpha_3 & {\alpha_3}^
{
q
}
&\cdots & {\alpha_3}^
{
q
}
^{n-1} \\
+
\alpha_3 & {\alpha_3}^q &\cdots & {\alpha_3}^q^{n-1} \\
\vdots & \ddots & \vdots \\
\vdots & \ddots & \vdots \\
−
\alpha_m & {\alpha_m}^
{
q
}
&\cdots & {\alpha_m}^
{
q
}
^{n-1} \\
+
\alpha_m & {\alpha_m}^q &\cdots & {\alpha_m}^q^{n-1} \\
\end{bmatrix} </math>
\end{bmatrix} </math>
*In calci, MATRIX("moore") is giving the matrixwith the element 1 of order 3.
*In calci, MATRIX("moore") is giving the matrixwith the element 1 of order 3.
*And MATRIX("moore",4,1..4) is giving Moore matrix starting element 1 to 4 of order 4.
*And MATRIX("moore",4,1..4) is giving Moore matrix starting element 1 to 4 of order 4.
Devika
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