Time dilation due to fthe time interval between two co-local events

Description

Time dilation is an actual difference of elapsed time between two events as measured by observers either moving relative to each other or differently situated from gravitational masses.
( e.g. An accurate clock at rest with respect to one observer may be measured to tick at a different rate when compared to a second observer’s own equally accurate clocks).
The formula for determining time dilation in special relativity is depended on the Lorentz factor and the time interval between two co-local events for an observer in some inertial frame.

Related formulas

Variables

Δt’ time interval between those same events, as measured by another observer, inertially moving with velocity v with respect to the former observer (sec)
γLorentz Factor (dimensionless)
Δttime interval between two co-local events (i.e. happening at the same place) (sec)