= Shannon's continuous-entropy coordinate convention
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In <A Mathematical Theory of Communication by Claude Shannon> (1948), section 20 extends the discrete entropy formula to continuous densities. Properties 8–9 explicitly discuss coordinate dependence, possible negative values and linear rescaling. <Claude Shannon> relates this coordinate convention to the engineering use of entropy differences, rather than treating an isolated continuous entropy as an invariant count of messages.<A Mathematical Theory of Communication by Claude Shannon>[section 20, definition and properties 8–9, reprint pp. 35 and 37–38]{ref}
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