Pi theorem

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Pi theorem


The theorem states that an equation for a physical system that can be written f(Q1, Q2, . . . , Qm) = 0 can also be written as g(π1, π2, . . . , πmn) = 0 where Qi are m dimensional parameters, numbers, and variables; πi are mn nondimensional quantities; and n is the number of fundamental dimensional units.


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