Alternative Equation Formats

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MathML

\begin{aligned} L_{k} (w) & = \sum_{i \in M_{k}} f (w; x_{i}) \\ f_{k} (w) & = r_{1} {‖ w ‖}_{1} + r_{2} {‖ w ‖}_{2}^{2} + L_{k} (w) \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} L_ k(w)& = \sum _{i\in M_ k} f(w;x_ i) \\ f_ k(w)& = r_1\left\lVert w\right\rVert _1 + r_2\left\lVert w\right\rVert _2^2 + L_ k(w) \end{align*}