Changes between Version 135 and Version 136 of DatabaseBasedAnalysis/Spectrum


Ignore:
Timestamp:
12/05/19 14:23:31 (5 years ago)
Author:
tbretz
Comment:

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  • DatabaseBasedAnalysis/Spectrum

    v135 v136  
    9393\[N_0^\textrm{tot} = \sum_{i=0...N}^{E\in[E_\textrm{min};E_\textrm{max}]}\sum_{j=0...N}^{\theta\in[\theta_\textrm{min};\theta_\textrm{max}]} \omega(E_i, \theta_j)\]
    9494
    95 Since \(\omega(E, \theta) = \omega_E(E)\cdot \omega_\theta(\theta) \)
    96 
    97 \[N_0^\textrm{tot} = \sum_{i=0...N}^{E\in[E_\textrm{min};E_\textrm{max}]}\sum_{j=0...N}^{\theta\in[\theta_\textrm{min};\theta_\textrm{max}]} \omega_E(E_i)\cdot\omega_\theta(\theta_j)\]
     95Since \(\omega(E, \theta) = \rho(E)\cdot \tau(\theta) \)
     96
     97\[N_0^\textrm{tot} = \sum_{i=0...N}^{E\in[E_\textrm{min};E_\textrm{max}]}\sum_{j=0...N}^{\theta\in[\theta_\textrm{min};\theta_\textrm{max}]} \rho(E_i)\cdot\tau(\theta_j) = \sum_{i=0...N}^{E\in[E_\textrm{min};E_\textrm{max}]}\rho(E_i)\cdot\sum_{j=0...N}^{\theta\in[\theta_\textrm{min};\theta_\textrm{max}]} \tau(\theta_j)\]
    9898
    9999