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We formulate uncertainty relations for arbitrary $N$ observables. Twouncertainty inequalities are presented in terms of the sum of variances andstandard deviations, respectively. The lower bounds of the corresponding sumuncertainty relations are explicitly derived. These bounds are shown to betighter than the ones such as derived from the uncertainty inequality for twoobservables [Phys. Rev. Lett. 113, 260401 (2014)]. Detailed examples arepresented to compare among our results with some existing ones.

Sum uncertainty relations for arbitrary $N$ incompatible observables