Changes between Version 124 and Version 125 of DatabaseBasedAnalysis/Spectrum

Timestamp:

12/05/19 11:27:31 (6 years ago)

Author:

tbretz

Comment:

--

DatabaseBasedAnalysis/Spectrum

@@ -41 +41 @@
 The contents of one energy bin \(\Delta E\) and one zenith angle bin \(\Delta\theta\) can then be written as
 
-\[N(\Delta E, \Delta\theta) = \sum_{\Delta E}\sum_{\Delta\theta} \omega_{i,j}(E, \theta)= \sum_{\Delta E}\sum_{\Delta\theta} \omega_i(E)\cdot\omega_j(\theta)= \sum_{\Delta E} \omega_i(E)\cdot\sum_{\Delta\theta}\omega_i(\theta) \]
+\[N(\Delta E, \Delta\theta) = \sum_{\Delta E}\sum_{\Delta\theta} \omega_{i,j}(E, \theta)= \sum_{\Delta E}\sum_{\Delta\theta} \omega_i(E)\cdot\omega_j(\theta)= \sum_{\Delta E} \omega_i(\theta)\cdot\sum_{\Delta\theta}\omega_i(E) \]
 
 and the normalization
 
-\[\sum_E\sum_\theta N(E,\theta) = N_0 \sum_E\sum_\theta \omega_{i,j}(E,\theta) = N_0 \sum_E\sum_\theta \omega_{i}(E)\omega_j(\theta) = N_0\cdot \sum_E\omega_i(E)\cdot \sum_\theta\omega_i(\theta)\]
+\[\sum_E\sum_\theta N(E,\theta) = N_0 \sum_E\sum_\theta \omega_{i,j}(E,\theta) = N_0 \sum_E\sum_\theta \omega_{i}(E)\omega_j(\theta) = N_0\cdot \sum_E\omega_i(\theta)\cdot \sum_\theta\omega_i(E)\]