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An examination of the limitations placed by the conceptual structure of quantum mechanics on the simultaneous measurement of two or more observables leads, for the case of an even number m = 2k of observables, to a quantitative estimate, depending only on the mean values of their commutators in the state in question, of the least value which the product of their m uncertainties may assume. This indeterminacy relation is interpreted classically to mean that, by measurement of these observables alone, a point (p, q) in phase space can be determined only to within a certain channel whose normal cross section, as measured by the value of the 4th integral invariant taken over it, must be at least of order h".

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