Alternative Equation Formats

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MathML

\begin{aligned} σ^{⋆} & = {(σ_{R}^{⋆ 2} + σ_{T}^{⋆ 2} - 2 ρ^{⋆} σ_{R}^{⋆} σ_{T}^{⋆})}^{\frac{1}{2}} \\ σ_{R}^{⋆} & = {[\log ({C V}_{R}^{2} + 1)]}^{\frac{1}{2}} \\ σ_{T}^{⋆} & = {[\log ({C V}_{T}^{2} + 1)]}^{\frac{1}{2}} \\ ρ^{⋆} & = \frac{\log {ρ {C V}_{R} {C V}_{T} + 1}}{σ_{R}^{⋆} σ_{T}^{⋆}} \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} \sigma ^\star & = \left(\sigma _ R^{\star 2} + \sigma _ T^{\star 2} - 2\rho ^\star \sigma _ R^\star \sigma _ T^\star \right)^\frac {1}{2}\\ \sigma _ R^\star & = \left[ \log (\mr{CV}_ R^2 + 1) \right]^\frac {1}{2} \\ \sigma _ T^\star & = \left[ \log (\mr{CV}_ T^2 + 1) \right]^\frac {1}{2} \\ \rho ^\star & = \frac{\log \left\{ \rho \mr{CV}_ R \mr{CV}_ T + 1 \right\} }{\sigma _ R^{\star } \sigma _ T^{\star }} \\ \end{align*}