Alternative Equation Formats

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MathML

\begin{aligned} min_{w} d (w) \\ c_{r} (x) = 0 & f o r r = 1, \dots, R \\ w_{i} \geq 0 & f o r i = 1, \dots, n_{t} \\ \sum_{i = 1}^{n_{t}} w_{i} = 1 \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{equation*} \begin{aligned} & \min _{\bm {w}} d(\bm {w} ) & \\ & \; c_ r(\bm {x}) = 0 & \; \mr{ for } \; r=1,\dots ,R\\ & \; w_ i \ge 0 & \; \mr{ for }\; i=1,\dots ,n_ t \\ & \; \sum _{i=1}^{n_ t} w_ i= 1 & \\ \end{aligned}\end{equation*}