Changes between Version 141 and Version 142 of DatabaseBasedAnalysis/Spectrum
- Timestamp:
- 12/05/19 14:34:56 (5 years ago)
Legend:
- Unmodified
- Added
- Removed
- Modified
-
DatabaseBasedAnalysis/Spectrum
v141 v142 93 93 \[N'(\Delta E, \Delta\theta) = \sum_{i=0...N}^{E\in\Delta E}\sum_{j=0...N}^{\theta\in\Delta\theta} \omega(E_i, \theta_j)\] 94 94 95 Since \(\omega(E, \theta) = \rho(E)\cdot \tau(\theta) \) with \(\rho(E)\) the spectral weight to adapt the spectral shape of the simulated spectrum to the real (measured) spectrum of the source and \(\t hat(\theta)\) the weight to adapt to oberservation time versus zenith angle.95 Since \(\omega(E, \theta) = \rho(E)\cdot \tau(\theta) \) with \(\rho(E)\) the spectral weight to adapt the spectral shape of the simulated spectrum to the real (measured) spectrum of the source and \(\tau(\theta)\) the weight to adapt to oberservation time versus zenith angle. 96 96 97 97 \[N'(\Delta E, \Delta\theta) = \sum_{i=0...N}^{E\in\Delta}\sum_{j=0...N}^{\theta\in\Delta\theta} \rho(E_i)\cdot\tau(\theta_j) = \sum_{i=0...N}^{E\in\Delta E}\rho(E_i)\cdot\sum_{j=0...N}^{\theta\in\Delta\theta} \tau(\theta_j)\]