Physics : The general formulation of the Heisenberg uncertainty principle is derived using the Cauchy–Schwarz inequality in the Hilbert space of quantum observables.
The Cauchy–Schwarz is used to prove that the inner product is a continuous function with respect to the topology induced by the inner product itself.
From Wikipedia
H.M. = Harmonic Mean = 2xy/(x+y) = ((G.M.)^2)/(A.M.)
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