Uncertainty relations for any multi observables

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Uncertainty relations describe the lower bound of product of standard deviations of observables. By revealing a connection between standard deviations of quantum observables and numerical radius of operators, we establish a universal uncertainty relation for any k observables, of which the formulation depends on the even or odd quality of k. This universal uncertainty relation is tight at least for the cases k=2n and k=3. For two observables, the uncertainty relation is exactly a simpler reformulation of Schrödinger's uncertainty principle.