Considering a top-down view of a two-dimensional Gaussian distribution, how would you statistically define differences on an annulus with the Gaussian's center as its own center, lacking a circle with its center as the Gaussian and size $1$ $z$-score of the $2$D Gaussian and ending at $2$ $z$-score distance from the middle, assuming the standard deviation is uniform across angles?
2026-02-25 01:13:24.1771982004
Normal bird's eye view
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