Alternative Equation Formats

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MathML

\begin{aligned} λ_{L} & = \arg max_{λ} {max_{λ} : | \frac{\partial l}{\partial β_{j}} ({\hat{β}}_{0}) | \leq n P_{λ}^{'} (| β_{j} |), j = 1, \dots, p} \\ = \arg max_{λ} {| \frac{1}{n} \frac{\partial l}{\partial β_{j}} ({\hat{β}}_{0}) |, j = 1, \dots, p} \end{aligned}

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Math as LaTeX Source

\begin{align*} \lambda _ L & = \arg \max _\lambda \left\{ \max _\lambda : \left|\frac{\partial l}{\partial \beta _ j}(\hat{\beta }_0)\right| \le n P'_\lambda (|\beta _ j|) ,j=1,\ldots ,p \right\} \\ & = \arg \max _\lambda \left\{ \left|\frac1n \frac{\partial l}{\partial \beta _ j}(\hat{\beta }_0)\right| ,j=1,\ldots ,p \right\} \end{align*}