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Generally and fundamentally, the answer to your question is no. Photography / 2D imaging is the prototypical example of the mathematical notion of projection, which, by its definition, destroys information by extracting "class" information from sets of objects: forgetting about fine differences and reporting only the class. Here, for example, if $z$ is the ...


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Calculating Reynolds number for a droplet is not reasonable. It should be noted that Reynolds number provides only some distant correlation between Turbulence, viscosity and flow velocity. There ie. is no such Reynolds Number which absolutely definates the flow to "Turbulent". It should be noted that the Laminar flow conditions can be hold up to Re > 150 ...


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Your question appears to confuse the map for the territory. The scales you mentioned don't occur in nature; they occur in humans' descriptions of nature. Phenomena - actual earthquakes, radiation from stars, etc. in their full complexity are what occur in nature. We often make measurements based on these phenomena and get results such as the total energy ...


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Exponentials come as solutions of this differential equation: dx/dt=c*x where c is a constant and x and t variables. The solution is of the form: x(t)=e^(c*t) A great number of measurements and observations we make can be approximated by this equation. Once the solution is exponential it is logical to take the log since the numbers become large fast ...



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