$L_{\text{I}}=10lo{g}_{10}[\frac{1}{T}{\displaystyle \underset{0}{\overset{T}{}}}10dt]$

$L_T=10lo{g}_{10}[\frac{1}{T}{\displaystyle \underset{i=1}{\overset{n}{}}}{10}^{I_{sc},20}]$

What is the application for each of the two formulas shown below:

$(1)$ computes daytime sound level; $(2)$ computes nighttime sound level

$(1)$ computes instantaneous sound level; $(2)$ computes continuous sound level

$(1)$ computes average sound level over a period of time; $(2)$ measures the