Alternative Equation Formats

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MathML

\begin{array}{rcl} {\tilde{p}}_{2} & = & 2 u \cos (w) - b / (3 a) \\ {\tilde{p}}_{1} & = & {\tilde{p}}_{2} - p_{0} \\ w & = & (π + \cos^{- 1} (v / u^{3})) / 3 \\ v & = & b^{3} / (3 a)^{3} - b c / (6 a^{2}) + d / (2 a) \\ u & = & s i g n (v) \sqrt{b^{2} / (3 a)^{2} - c / (3 a)} \\ a & = & 1 + w_{1} / w_{2} \\ b & = & - [1 + w_{1} / w_{2} + p_{2} + (w_{1} / w_{2}) p_{1} + p_{0} (w_{1} / w_{2} + 2)] \\ c & = & p_{0}^{2} + p_{0} (2 p_{2} + w_{1} / w_{2} + 1) + p_{2} + (w_{1} / w_{2}) p_{1} \\ d & = & - p_{2} p_{0} (1 + p_{0}) \end{array}

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} \tilde{p}_2 & = & 2 u \cos (w) - b/(3a) \\ \tilde{p}_1 & = & \tilde{p}_2 - p_0 \\ w & = & ( \pi + \cos ^{-1}(v / u^3) ) / 3 \\ v & = & b^3 / (3a)^3 - bc/(6a^2) + d/(2a) \\ u & = & \mr{sign}(v) \sqrt{b^2 / (3a)^2 - c/(3a)} \\ a & = & 1 + w_1/w_2 \\ b & = & - \left[ 1 + w_1/w_2 + p_2 + (w_1/w_2) p_1 + p_0(w_1/w_2 + 2) \right] \\ c & = & p_0^2 + p_0 (2 p_2 + w_1/w_2 + 1) + p_2 + (w_1/w_2) p_1 \\ d & = & -p_2 p_0 (1 + p_0) \\ \end{eqnarray*}