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The first thing to realize is that there are no "true" phase transitions (in the sense of non-analytic behaviour of thermodynamic potentials) in finite systems. This is the main difficulty one faces when analysing phase transitions using (most) computer simulation schemes. In particular, such simulations are only reliable as long as the observed correlation ...


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A theory must not only explain the existing data, but it must explain it in quantitative terms. Furthermore, it must make testable predictions that differ from other theories. The Simulation Hypothesis does neither. In that respect, it is worse even than String Theory. If you believe ouyr universe is a simulation, the only thing you can trust is mathematics ...


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A good theory is something that doesn't have 100% overlap with another theory, meaning like a Venn Diagram, there are areas where you can test the validity of that theory. While it's true that you can't decisively prove a theory right or wrong, this doesn't mean you cannot demonstrate the correctness of a theory over another. Presumably if the entire ...


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1- Is it right to say "the motion of the robot can be described as a transitional motion of center of mass plus a rotational motion about that point?" Pick a point on (or off) your robot; pick any point. The motion can always be described in terms of the translational motion of that point plus a rotational motion about that point In general, the ...


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It seems to me what you're asking is pretty simple. You say you can control the angular velocity of each wheel. That, times the wheel radius, give you the forward velocity of each wheel on the ground. That tells you the robot's forward speed (the average of the forward speeds of the wheels), and it tells you the rate at which the robot is turning (the ...



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