From Gauging Accuracy of Quantity Estimates to Gauging Accuracy and Resolution of Measuring Physical Fields

Abstract. For a numerical physical quantity v, because of the mea-surement imprecision, the measurement result v ̃ is, in general, different from the actual value v of this quantity. Depending on what we know about the measurement uncertainty ∆v def = v ̃ − v, we can use different techniques for dealing with this imprecision: probabilistic, interval, etc. When we measure the values v(x) of physical fields at different lo-cations x (and/or different moments of time), then, in addition to the same measurement uncertainty, we also encounter another type of local-ization uncertainty: that the measured value may come not only from the desired location x, but also from the nearby locations