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Projection of a 3D spherical distribution function in to a 2D cartesian plane
Consider a 3D spherical Gaussian distribution function that depends on radius only,
$$f(r) = \frac{1}{N} e^{-(\frac{r-R_\mu}{\sigma})^2}$$
where $R_\mu$ is the radial offset of the distribution and ...
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Cross-section of a circle with a three-dimensional Gaussian
Suppose I have a three-dimensional Gaussian with mean $\bar{\mu}$, volume $A$ and covariance matrix $\Sigma$
$$G(X)=\frac{A}{\sqrt{(2\pi)^{3}\det(\Sigma)}}e^{-\frac{1}{2}(X-\mu)^{T}\cdot ...
