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LaTex formulas

Simple formula as a separate block: \begin{equation} 5 = 2 + 3 \end{equation}

Simple formula inside the sentence: \(5 = 2 + 3\).

More complex examples:

\[\begin{equation} e^{ix} = cox(x) + i sin(x) \end{equation}\]
\[\begin{equation} cos(x) = \frac{e^{ix} + e^{-ix}}{2} \end{equation}\]
\[\begin{equation} sin(x) = \frac{e^{ix} - e^{-ix}}{2i} \end{equation}\]
\[\begin{equation} f(x) = \frac{a_0}{2} + \sum_{n=1}^{\infty} (a_n cos(nx) + b_n sin(nx)) \end{equation}\]