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hilbert_space_mean_value [2013/08/31 23:43] nikolaj |
hilbert_space_mean_value [2013/08/31 23:43] nikolaj |
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* $\gamma=\overline{(A-\overline{A})(B-\overline{B})}/(\Delta A\cdot \Delta B)=(\overline{AB}-\overline{A}\overline{B})/(\Delta A\cdot \Delta B)$ is called the correlation coefficient. | * $\gamma=\overline{(A-\overline{A})(B-\overline{B})}/(\Delta A\cdot \Delta B)=(\overline{AB}-\overline{A}\overline{B})/(\Delta A\cdot \Delta B)$ is called the correlation coefficient. | ||
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+ | === Theorems === | ||
$AB=BA\implies \gamma\in [-1,1]$. | $AB=BA\implies \gamma\in [-1,1]$. |