Changes between Version 80 and Version 81 of DatabaseBasedAnalysis/Spectrum
- Timestamp:
- 12/05/19 09:47:26 (6 years ago)
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DatabaseBasedAnalysis/Spectrum
v80 v81 35 35 \[\phi(E,\theta) = N_0\cdot \eta(E)\cdot \eta(\theta)\] 36 36 37 with the normalized differential energy spectrum \(\eta(E)\) and the normalized zenith angle distribution \(\eta(\theta)\). 37 with the differential energy spectrum \(\eta(E)\) and the zenith angle distribution \(\eta(\theta)\) and the normalization 38 39 \[\int_E\int_\theta\phi(E,\theta)dEd\theta = N_0\cdot \int_E\eta(E)dE\cdot \int_\theta\eta(\theta)d\theta\] 38 40 39 41 The contents of one energy bin \(\Delta E\) and one zenith angle bin \(\Delta\theta\) can then be written as 40 42 41 43 \[N(\Delta E, \Delta\theta) = \sum_{\Delta E, \Delta\theta} \omega_i(E)\cdot\omega_i(\theta) \] 44 45 and the normalization 46 47 \[\sum_E\sim_\theta\N(E,\theta)dEd\theta = N_0\cdot \sum_E\eta(E)dE\cdot \sum_\theta\eta(\theta)d\theta\] 42 48 43 49