$$\displaystyle \int_{\int_{\int_{\int_{\int_{\int_{}^{}}^{\int_{}^{}}}^{\int_{\int_{}^{}}^{}}}^{\int_{\int_{\int_{}^{}}^{\int_{}^{}}}^{\int_{\int_{}^{}}^{}}}}^{\int_{\int_{\int_{\int_{}^{}}^{\int_{}^{}}}^{\int_{\int_{}^{}}^{}}}^{\int_{\int_{\int_{}^{}}^{\int_{}^{}}}^{\int_{\int_{}^{}}^{}}}}}^{\int_{\int_{\int_{\int_{\int_{}^{}}^{\int_{}^{}}}^{\int_{\int_{}^{}}^{}}}^{\int_{\int_{\int_{}^{}}^{\int_{}^{}}}^{\int_{\int_{}^{}}^{}}}}^{\int_{\int_{\int_{}^{}}^{\int_{}^{}}}^{\int_{\int_{}^{}}^{}}}}$$

$$\displaystyle \lim_{\text{year} \to \text{end}}{P(\text{uw acceptance})}=0$$