Alternative Equation Formats

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MathML

\begin{aligned} v_{k + \frac{1}{2}} & = γ v_{k} \\ w_{k + \frac{1}{2}} & = w_{k} + v_{k + \frac{1}{2}} \\ v_{k + 1} & = v_{k + \frac{1}{2}} - \hat{η} \nabla L_{k} (w_{k + \frac{1}{2}}) \\ w_{k + 1} & = w_{k + \frac{1}{2}} + v_{k + 1} - r_{1} \nabla {‖ w_{k} ‖}_{1} - r_{2} \nabla {‖ w_{k} ‖}_{2}^{2} \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} v_{k + \frac{1}{2}}& = \gamma v_ k \\ w_{k + \frac{1}{2}}& = w_ k + v_{k+\frac{1}{2}} \\ v_{k + 1}& = v_{k+\frac{1}{2}} - \hat{\eta } \nabla L_ k(w_{k+\frac{1}{2}}) \\ w_{k + 1}& = w_{k+\frac{1}{2}} + v_{k+1} - r_1\nabla \left\lVert w_ k\right\rVert _1 - r_2\nabla \left\lVert w_ k\right\rVert _2^2 \end{align*}