What is the math definition for Elapsed Time?

Elapsed time is the total amount of time that passes from the start of an event to its conclusion. It is typically calculated by subtracting the start time from the end time, often expressed in hours, minutes, and seconds. In mathematical terms, if ( T_{\text{start}} ) is the start time and ( T_{\text{end}} ) is the end time, the elapsed time ( T_{\text{elapsed}} ) can be represented as ( T_{\text{elapsed}} = T_{\text{end}} - T_{\text{start}} ).