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The detection of the simulated particles mean the calculation of the following average:
$  R\approx \frac{1}{N}\sum_{i=1}^{N}w_{i} D\left (P_{i}  \right )
The relative standard deviations are calculated as follows:
$  r^{2}\left (R  \right )\approx\frac{\sum_{i=1}^{N}\left [w_{i} D\left (P_{i}  \right )  \right ]^{2}}{\left [\sum_{i=1}^{N}w_{i} D\left (P_{i}  \right )  \right ]^{2}}- \frac{1}{N}

In medical imaging, dosimetry and radiation therapy the most used MC codes are GATE (external link) and MCNP(external link).

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