Changes between Version 39 and Version 40 of DatabaseBasedAnalysis/Spectrum


Ignore:
Timestamp:
12/03/19 18:17:22 (5 years ago)
Author:
tbretz
Comment:

--

Legend:

Unmodified
Added
Removed
Modified

  • DatabaseBasedAnalysis/Spectrum

    v39 v40  
    5252and \(N_0\) 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 \[n_0(\Delta E) = \frac{\sum_{E_\textrm{min}}^{E_\textrm{max}} \omega_i(E)\cdot\omega_i(\theta)}{\sum_{\Delta E}\sum_{E_\textrm{min}}^{E_\textrm{max}} \omega_i(E) \cdot \sum_{\Delta \theta}\sum_{\theta_\textrm{min}}^{\theta_\textrm{max}} \omega_i(\theta)}\]
     54\[n_0(\Delta E) = \frac{\sum_{\Delta E}\sum_{\theta_\textrm{min}}^{\theta_\textrm{max}} \omega_i(E)\cdot\omega_i(\theta)}{\sum_{\Delta E}\sum_{E_\textrm{min}}^{E_\textrm{max}} \omega_i(E) \cdot \sum_{\Delta \theta}\sum_{\theta_\textrm{min}}^{\theta_\textrm{max}} \omega_i(\theta)}\]
    5555
    5656with the weights chosen such that the sum over all intervals