Changes between Version 38 and Version 39 of DatabaseBasedAnalysis/Spectrum


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Timestamp:
Dec 3, 2019, 6:14:08 PM (10 months ago)
Author:
tbretz
Comment:

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  • DatabaseBasedAnalysis/Spectrum

    v38 v39  
    5050\[\int_{E_\textrm{min}}^{E_\textrm{max}}\int_{\theta_\textrm{min}}^{\theta_\textrm{max}}\eta(E)\eta(\theta) dE d\theta =\int_{E_\textrm{min}}^{E_\textrm{max}}\eta(E) dE = \int_{\theta_\textrm{min}}^{\theta_\textrm{max}}\eta(\theta) d\theta = 1\]
    5151
    52 and \(N_0\) the total number of generated Monte Carlo events. For the generated number of events \(n_0\) in the energy interval \(\Delta E=E_\textrm{max}-E_\textrm{min}\) this is
     52and \(N_0\) the total number of generated Monte Carlo events. For the generated number of events \(n_0\) in the energy interval \(\Delta E=E_\textrm{max}-E_\textrm{min}\) and zenith angle interval \(\Delta \theta=\theta_\textrm{max}-\theta_\textrm{min}\) this is
    5353
    54 \[n_0(\Delta E) = \sum_{E_\textrm{min}}^{E_\textrm{max}} \omega_i(E)\cdot\omega_i(\theta)\]
     54\[n_0(\Delta E) = \frac{\sum_{E_\textrm{min}}^{E_\textrm{max}} \omega_i(E)\cdot\omega_i(\theta)}{\sum_{\Delta E}\sum_{E_\textrm{min}}^{E_\textrm{max}} \omega_i(E) \cdot \sum_{\Delta \theta}\sum_{\theta_\textrm{min}}^{\theta_\textrm{max}} \omega_i(\theta)}\]
    5555
    5656with the weights chosen such that the sum over all intervals