deletions | additions       diff --git a/k.tex b/k.tex  index e26a968..c33adef 100644  --- a/k.tex  +++ b/k.tex 
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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 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!  $\ W_{w}(d_{trav})$ =(($\rho_{air}$)$\ W_{w}$($\ d_{trav}$)=(($\rho_{air}$)$\  d_{t}A_{wings}/2)arctan(C_{D}/C_{L})[ghk^2/(gh - 2v^2_{o})]^4 exp[(2h/k)(gh/v_{o} - 2v_{o})cos((kl/2)(sqrt(v^2_{pelican} - (v_{ph} + v_{o})^2)/v_{pelican}))]$ Where, for deep water$\ v_{ph} = sqrt(g/k)$ and shallow water$\ v_{ph} = sqrt(gH)$.