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respectively. This is analogous to compression surfing, where$\ A = A_{p}$,$\ v = v_{z}$, and$\ d = a_{l}$, the altitude lost by a pelican as a function of distance travelled in plain flight,$\ d_{trav}$. We can use the glide angle equation to relate these variables to $\theta$, a variable already written in terms of known quantities. This gives us $\ a_{l} = d_{trav}[arctan(C_{D}/C_{L})]$. Evaluating the Work equation on its functional domain $\ (0 < v_{o} < sqrt(gh/2))$, at $\ (x_{o}, z_{o}, t_{o})$, for a wave of height$\ h$ and wave number$\ k$, ocean depth$\ H$, air density $\rho$, as well as undisturbed windspeed$\ v_{o}$, we obtain the expression we initially set out for!  $\ W_{w}$($\ d_{trav}$)=(($\rho_{air}$)$\ d_{t}A_{wings}/2)arctan(C_{D}/C_{L})[ghk^2/(gh d_{t}A_{wings} / 2)arctan(C_{D} / C_{L})[ghk^2 / (gh  - 2v^2_{o})]^2exp[(2h/k)(gh/v_{o} 2v^2_{o})]^2 exp[(2h / k)(gh / v_{o}  - 2v_{o})cos((kl/2)(sqrt(v^2_{pelican} - (v_{ph} + v_{o})^2)/v_{pelican}))]$ v_{o})^2) / v_{pelican}))]$  Where, for deep water$\ v_{ph}$ = $\sqrt(g/k)$ and shallow water$\ v_{ph}$ = $\sqrt(gH)$. Evaluating the work equation with a complete set of values relevant to pelicans in standard international (SI) units, this equation can be interpretted as the energy in Joules saved by the pelican during compression surfing as a function of distance. despite its foreboding mathematical appearance, from here on out we know all of the remaining variables as predetermined constants, and we know the domain which our expression makes sense in, so now we can make qualitative conclusions.