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Part ThreeAims:
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> > | Poisson Distribution of pixel values: Simulation_test4.py.txt
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< < | %BEGINLATEX% \begin{equation}
f\left ( x,y;\sigma _{x},\sigma _{y} \right )=A e^{-\frac{\left ( x-x_0 \right )^2}{2{\sigma _{x}}^{2}}} e^{-\frac{\left ( y-y_0 \right )^2}{2{\sigma _{y}}^{2}}} | |||||||
> > | %BEGINLATEX% \begin{equation} f\left ( x,y;\sigma _{x},\sigma _{y} \right )=A e^{-\frac{\left ( x-x_0 \right )^2}{2{\sigma _{x}}^{2}}} e^{-\frac{\left ( y-y_0 \right )^2}{2{\sigma _{y}}^{2}}} | |||||||
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< < | %BEGINLATEX% \begin{equation}
N=A \int_{x_{p}-\frac{1}{2}}^{x_{p}+\frac{1}{2}} e^{-\frac{\left ( x-x_0 \right )^2}{2{\sigma _{x}}^{2}}} dx \int_{y_{p}-\frac{1}{2}}^{y_{p}+\frac{1}{2}} e^{-\frac{\left ( y-y_0 \right )^2}{2{\sigma _{y}}^{2}}}dy | |||||||
> > | %BEGINLATEX% \begin{equation} N=A \int_{x_{p}-\frac{1}{2}}^{x_{p}+\frac{1}{2}} e^{-\frac{\left ( x-x_0 \right )^2}{2{\sigma _{x}}^{2}}} dx \int_{y_{p}-\frac{1}{2}}^{y_{p}+\frac{1}{2}} e^{-\frac{\left ( y-y_0 \right )^2}{2{\sigma _{y}}^{2}}}dy | |||||||
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> > | Pixel Integration (11/10/16): Simulation_test3.py.txt
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Part OneAim: Generate stars with gaussian profiles, using random positions and fluxes. 'Basic' simulation program (04/10/2016): Simulation_test1.py.txt
Part TwoAims:
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