Time, distance, and shielding multiply together in the idealized dose model, but they are not operationally interchangeable. Distance may be the strongest mathematical control, yet tooling, access, source geometry, and w…
For an idealized point source, radiation spreads across the surface of a sphere. Since the area is $4\\pi r^2$, the same emission is distributed across four times the area when distance doubles. Which assumptions have to…
In the formal definition of a limit, $\\varepsilon$ describes an allowed error in the output, while $\\delta$ describes how close the input must remain to the point. The proof task is to choose $\\delta$ so that every pe…