I. Introduction & Motivation
نویسنده
چکیده
I.1. Physical motivation. From [St]: consider a function T (x) as representing the value of a physical variable at a particular point x in space. Is this a realistic thing to do? What can you measure? Suppose T (x) represents temperature at a point x in a room. You can measure the temperature with a thermometer, placing the bulb at the point x. Unlike the point, the bulb has nonzero size, so what you actually measure is more an average temperature over a small region of space. So really, the thermometer measures
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