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You can use the LaTeX syntax to write math formulas:

F(w)=∑k=1KnkNFk(w)=∑k=1KnkN1nk∑i∈Pkl(xi,yi;w)\begin{aligned} F(\textbf{w}) &= \sum_{k=1}^{K} \frac{n_k}{N} F_{k}(\textbf{w}) \\ &= \sum_{k=1}^{K} \frac{n_k}{N} \frac{1}{n_k} \sum_{i \in \mathcal{P}_{k}} l(\textbf{x}_{i}, \textbf{y}_{i}; \textbf{w}) \end{aligned}

The inline syntax is also supported x=12x = \frac{1}{2}.