Alternative Equation Formats

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MathML

\begin{array}{rcl} V_{g} (λ) & = & \frac{n ‖ y - H_{λ} y ‖^{2}}{(t r (I - γ H_{λ}))^{2}} \\ V_{u} (λ) & = & \frac{1}{n} ‖ y - H_{λ} y ‖^{2} - \frac{2}{n} σ^{2} t r (I - γ H_{λ}) + σ^{2} \\ V_{a} (λ) & = & \frac{1}{n} ‖ y - H_{λ} y ‖^{2} (1 + 2 γ \frac{t r (H_{λ})}{t r (I - H_{λ})}) \end{array}

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} \mathcal{V}_ g(\blambda ) & = & \frac{n\| \mb{y}-\bH _{\blambda }\mb{y}\| ^2}{(\mathrm{tr}(\bI -\gamma \bH _{\blambda }))^2}\\ \mathcal{V}_ u(\blambda ) & = & \frac{1}{n}\| \mb{y}-\bH _{\blambda }\mb{y}\| ^2- \frac{2}{n}\sigma ^2\mathrm{tr}(\bI -\gamma \bH _{\blambda })+\sigma ^2\\ \mathcal{V}_ a(\blambda ) & = & \frac{1}{n}\| \mb{y}-\bH _{\blambda }\mb{y}\| ^2\left(1+2\gamma \frac{\mathrm{tr}(\bH _{\blambda })}{\mathrm{tr}(\bI -\bH _{\blambda })}\right) \end{eqnarray*}