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Applications of information geometry to the natural sciences
I am contemplating undergraduate thesis topics, and am searching for a topic that combines my favorite areas of analysis, differential geometry, graph theory, and probability, and that also has (...
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Stereographic Projection of Uniform Distribution on Sphere
Consider a (punctured) unit sphere $S = \{ (x,y,z) \mid x^2+y^2+z^2 = 1, z\neq 1 \} $ and the plane $L = \{ (X,Y,0) \}$ (let us use the shorthand $(X,Y)$ for $(X,Y,0)$).
We can define the ...
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