“One of the many importants ideas introduced by Minkowski into the study of convex bodies was that of gauge function. Roughly, the gauge function is the equation of a convex body. Minkowski showed that the gauge function could be defined in a purely geometric way and that it must have certain properties analogous to those possessed by the distance of a point from the origin. He also showed that conversely given any function possessing these properties, there exists a convex body with the given function as its gauge function.”

[Lectures on the Geometry of Numbers, https://books.google.com/books?id=dyH4CAAAQBAJ&pg=PA6] (p. 6)

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Carl Ludwig Siegel3

German mathematician 1896–1981

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Carl Ludwig Siegel3

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