Changes between Version 59 and Version 60 of DatabaseBasedAnalysis/Spectrum


Ignore:
Timestamp:
Dec 3, 2019, 10:35:04 PM (10 months ago)
Author:
tbretz
Comment:

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  • DatabaseBasedAnalysis/Spectrum

    v59 v60  
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    39 \[\phi(E) = \frac{N_\textrm{sig} - \hat N_\textrm{bg}}{N_\textrm{sig}^\textrm{MC} - \hat N_\textrm{bg}^\textrm{MC}}\cdot \frac{N_0(E)}{A_0\cdot\Delta T}\]
     39\[\phi(E) = \frac{N_\textrm{sig}(E) - \hat N_\textrm{bg}(E)}{N_\textrm{sig}^\textrm{MC}(E) - \hat N_\textrm{bg}^\textrm{MC}(E)}\cdot \frac{N_0(E)}{A_0\cdot\Delta T}\]
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    4343\[N_\textrm{bg}^\textrm{MC} = \sum_\textrm{bg}^\textrm{MC}\omega_i(E)\omega_i(\theta)\]
    4444\[N_0(E) = \sum_\textrm{corsika}^\textrm{MC}\omega_i(E)\omega_i(\theta)\]
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     47\[\sigma^2(\phi(E)) = \left(\frac{d\phi(E)}{dN_0}\right)\sigma^2(N_0) + \left(\frac{d\phi(E)}{dN_\textrm{exc}^\textrm{MC}}\right)\sigma^2(N_\textrm{exc}^\textrm{MC}) +  \left(\frac{d\phi(E)}{dN_\textrm{exc}}\right)^2\sigma(N_\textrm{exc})^2\]
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