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For every non-zero commutator of two operators, there exists an "uncertainty principle", which in our present example may be expressed in the form:
: <math> \Delta x \, \Delta
In this ill-defined notation, <math> \Delta x </math> and <math> \Delta p </math> denote "uncertainty" in the simultaneous specification of <math> x </math> and <math> p </math>. A more precise, and statistically complete, statement involving the standard deviation <math> \sigma </math> reads:
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