# Changes between Version 5 and Version 6 of DatabaseBasedAnalysis/Spectrum

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Timestamp:
Dec 3, 2019, 4:48:47 PM (10 months ago)
Comment:

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Unmodified
 v5 $\phi(E) = \frac{dN}{dA\cdot dt\cdot dE}$ Often $$\phi(E)$$ is also referred to as $$\frac{dN}{dE}$$ as observation time and effective collection area is a constant. The effective Area is then defined as $$A_\textrm{eff}(E)=\epsilon(E)\cdot A_0$$. Note that at large distances the efficiency vanishes, so that the effective area is an (energy dependent) constant while $$A_0$$ and $$\epsilon$$ are mutually dependent. Often $$\phi(E)$$ is also referred to as $$\frac{dN}{dE}$$ as observation time and effective collection area is a constant. The effective Area is then defined as $$A_\textrm{eff}(E)=\epsilon(E)\cdot A_0$$. Note that at large distances the efficiency vanishes, so that the effective area is an (energy dependent) constant while $$A_0$$ and the efficiency $$\epsilon(E)$$ are mutually dependent. For an observation with an effective observation time (\\Delta T\), this yields: $\phi(E) = \frac{1}{A_0\cdot \Delta T}\frac{dN}{d\epsilon(E)\cdot dE}$ == Define Binnings ==