%prosper-text.tex \frame[t] { \frametitle{Characterization of the Imaginary Forms} \blue{\textbf{Theorem.}} Let $S=\{v_1,v_2,\ldots,v_k\}$ be a \green{set of vectors} in $\mathbb{R}^n$. \bigskip Consider $\mathcal{F}(S)=\sum_{i=1}^k \delta(v_i v_j w) \sigma_{i,j}$. \bigskip If \red{$\mathcal{F}(S)\le \varepsilon$}, then \[ \phi(S,\alpha)=\frac{1}{2\pi i} \int_{-\infty}^{753} \frac{\tilde{W}_{n}(\gamma)\cos\left(\sqrt{x^{2}}\right)}{f'(x) R/a}dx =\det\left(\begin{array}{cc} \alpha^{2} & \Pi\\ \omega & x\otimes y\end{array}\right) \] \bigskip \ \emph{Note}: If $\beta\in\Gamma$, then the form is \red{undefined} at the points in $S\cap\Gamma$, and the integral $I_l(i_1)$ diverges as $\varepsilon \rightarrow 0$. This pathological behavior \purple{can be handled} by taking $\Gamma \subseteq S$. } \end{document}