Alternative Equation Formats

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MathML

\begin{aligned} Θ & = S Z^{- 1} + W V^{- 1} \\ ρ & = Θ^{- 1} (δ_{d} + (S - W) e - V^{- 1} W δ_{b}) \\ Δ t_{a f f} & = (A Θ^{- 1} A^{'})^{- 1} (δ_{c} + A ρ) \\ Δ z_{a f f} & = Θ^{- 1} A^{'} Δ t_{a f f} - ρ \\ Δ v_{a f f} & = δ_{b} - Δ z_{a f f} \\ Δ w_{a f f} & = - W e - V^{- 1} W Δ z_{a f f} \\ Δ s_{a f f} & = - S e - Z^{- 1} S Δ z_{a f f} \\ (z_{a f f}, t_{a f f}, s_{a f f}, v_{a f f}, w_{a f f}) & = (z, t, s, v, w) + κ (Δ z_{a f f}, Δ t_{a f f}, Δ s_{a f f}, Δ v_{a f f}, Δ w_{a f f}) \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} \bTheta & =\bS \bZ ^{-1} + \bW \bV ^{-1} \\ \brho & = \bTheta ^{-1} ({\bdelta }_ d + (\bS -\bW )\mb{e} - \bV ^{-1} \bW {\bdelta }_ b) \\ \bDelta t_{\mathit{aff}} & = (\bA \bTheta ^{-1} \bA ^{\prime })^{-1} ({\bdelta }_ c + \bA \brho ) \\ \bDelta z_{\mathit{aff}} & = \bTheta ^{-1} \bA ^{\prime } \bDelta t_{\mathit{aff}} - \brho \\ \bDelta v_{\mathit{aff}} & = {\bdelta }_ b - \bDelta z_{\mathit{aff}} \\ \bDelta w_{\mathit{aff}} & = -\bW \mb{e} - \bV ^{-1} \bW \bDelta z_{\mathit{aff}} \\ \bDelta s_{\mathit{aff}} & = -\bS \mb{e} - \bZ ^{-1} \bS \bDelta z_{\mathit{aff}} \\ (\mb{z}_{\mathit{aff}}, \mb{t}_{\mathit{aff}}, \mb{s}_{\mathit{aff}}, \mb{v}_{\mathit{aff}}, \mb{w}_{\mathit{aff}}) & = (\mb{z}, \mb{t}, \mb{s}, \mb{v}, \mb{w}) + \kappa (\bDelta z_{\mathit{aff}}, \bDelta t_{\mathit{aff}}, \bDelta s_{\mathit{aff}}, \bDelta v_{\mathit{aff}}, \bDelta w_{\mathit{aff}}) \\ \end{align*}