Because the particle is constrained within a finite region, the variance in its position is upper-bounded.

(notice this integral is actually over a finite region, since has compact support).

In particular, as in the example above that uses a constant dipole moment density confined to a finite region, a surface charge and depolarization field results.

A local model of light consistent with these electrostatic refraction calculations occurs if the electromagnetic energy is restricted to a finite region of space.

As shown at right, represents a finite region for an incoming particle, while represents the solid scattering angle after the scattering event.

For the division to be proper the kernel cannot to be zero in a finite region.

When investigating a finite region, however, it is possible that the charge density within the region may change.

This distribution does not scale and is thus not asymptotically a power law; however, it does approximately scale over a finite region before the cutoff.

Methods capable of treating finite regions have been applied to stars and to atomic nuclei.

An internal wave may also become confined to a finite region of altitude or depth, as a result of varying stratification or wind.