Changes between Version 80 and Version 81 of DatabaseBasedAnalysis/Spectrum

Timestamp:

12/05/19 09:47:26 (6 years ago)

Author:

tbretz

Comment:

--

DatabaseBasedAnalysis/Spectrum

@@ -35 +35 @@
 \[\phi(E,\theta) = N_0\cdot \eta(E)\cdot \eta(\theta)\]
 
-with the normalized differential energy spectrum \(\eta(E)\) and the normalized zenith angle distribution \(\eta(\theta)\).
+with the differential energy spectrum \(\eta(E)\) and the zenith angle distribution \(\eta(\theta)\) and the normalization
+
+\[\int_E\int_\theta\phi(E,\theta)dEd\theta = N_0\cdot \int_E\eta(E)dE\cdot \int_\theta\eta(\theta)d\theta\]
 
 The contents of one energy bin \(\Delta E\) and one zenith angle bin \(\Delta\theta\) can then be written as
 
 \[N(\Delta E, \Delta\theta) = \sum_{\Delta E, \Delta\theta} \omega_i(E)\cdot\omega_i(\theta) \]
+
+and the normalization
+
+\[\sum_E\sim_\theta\N(E,\theta)dEd\theta = N_0\cdot \sum_E\eta(E)dE\cdot \sum_\theta\eta(\theta)d\theta\]