deletions | additions       diff --git a/observations.tex b/observations.tex  index 2c209f6..62cddb7 100644  --- a/observations.tex  +++ b/observations.tex 
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\tau_{w}\left(0 \right) = \int_{0}^{\infty}\rho_{w}\omega\beta\phi(\omega)d\omega,   \end{equation} where $\omega$ is the wave angular frequency, $\phi(\omega)$ is the frequency spectrum, and $\beta$ is the dimensionless wave growth parameter.   \section{Research approaches and methods} further study}  In this section, our scientific objectives and the specific instruments from which we got the date that we will process are presented.   The first basic objective is to detect the temporal behaviour of bubble plumes. Thus, we will make a time evolution of bubble plumes per each wave-breaking event, and produce a mean over all observed wave-breaking events. The sonar data will be used to perform these calculations.   Next, we will assess how variability in bubble plumes depth affects the whitecap time decay. For instance, we will be able to check if a fast decrease in bubble plumes depth influences the longevity of whitecap fractions. To support this correlation between whitecap fractions time decay and bubble plumes dynamics we will use data collected by the sonar and the foam camera.