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comment Weyl transformation of geodesic distance
Are you sure you want to look at arbitrary Weyl transformations? If so, then the problem is hopeless as Willie Wong suggests. But If you're doing things related to CFTs, usually the only Weyl transformations which really matter are those induced by conformal maps. That's a much smaller class; arbitrary Weyl transformations form an infinite dimensional group isomorphic to $C^\infty(M)$, but for example on Minkowski space, the "conformal group" (in the standard physics terminology) is 15 dimensional, with a 10-dimensional Poincare subgroup which preserves the metric.
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revised Why aren't integration and differentiation inverses of each other?
copy-editing
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revised Why aren't integration and differentiation inverses of each other?
some additions in part 2
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revised Why aren't integration and differentiation inverses of each other?
pointless edit so I can undo my rash and hasty downvote on this good question
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answered Why aren't integration and differentiation inverses of each other?
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answered Convergence in $L^2$ norm
Dec
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answered Using the geometric distribution to find the probability that between 4 and 6 devices will be tested