Alternative Equation Formats

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MathML

$\begin{array}{rcl}w& =& \left(\pi +{\mathrm{cos}}^{-1}\left(v/{u}^{3}\right)\right)/3\\ v& =& {b}^{3}/\left(3a{\right)}^{3}-bc/6{a}^{2}+d/2a\\ u& =& \mathrm{s}\mathrm{i}\mathrm{g}\mathrm{n}\left(v\right)\sqrt{{b}^{2}/\left(3a{\right)}^{2}-c/3a}\\ a& =& 1+\theta \\ b& =& -\left(1+\theta +{\stackrel{^}{p}}_{1}+\theta {\stackrel{^}{p}}_{2}-\delta \left(\theta +2\right)\right)\\ c& =& {\delta }^{2}-\delta \left(2{\stackrel{^}{p}}_{1}+\theta +1\right)+{\stackrel{^}{p}}_{1}+\theta {\stackrel{^}{p}}_{2}\\ d& =& {\stackrel{^}{p}}_{1}\delta \left(1-\delta \right)\\ \theta & =& {n}_{2\cdot }/{n}_{1\cdot }\end{array}$

MathML rendered with MathJax

$\begin{array}{rcl}w& =& \left(\pi +{\mathrm{cos}}^{-1}\left(v/{u}^{3}\right)\right)/3\\ v& =& {b}^{3}/\left(3a{\right)}^{3}-bc/6{a}^{2}+d/2a\\ u& =& \mathrm{s}\mathrm{i}\mathrm{g}\mathrm{n}\left(v\right)\sqrt{{b}^{2}/\left(3a{\right)}^{2}-c/3a}\\ a& =& 1+\theta \\ b& =& -\left(1+\theta +{\stackrel{^}{p}}_{1}+\theta {\stackrel{^}{p}}_{2}-\delta \left(\theta +2\right)\right)\\ c& =& {\delta }^{2}-\delta \left(2{\stackrel{^}{p}}_{1}+\theta +1\right)+{\stackrel{^}{p}}_{1}+\theta {\stackrel{^}{p}}_{2}\\ d& =& {\stackrel{^}{p}}_{1}\delta \left(1-\delta \right)\\ \theta & =& {n}_{2\cdot }/{n}_{1\cdot }\end{array}$

Math as LaTeX Source

\begin{eqnarray*} 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 + \theta \\ b & = & - \left( 1 + \theta + \hat{p}_1 + \theta \hat{p}_2 - \delta (\theta + 2) \right) \\ c & = & \delta ^2 - \delta (2 \hat{p}_1 + \theta + 1) + \hat{p}_1 + \theta \hat{p}_2 \\ d & = & \hat{p}_1 \delta (1 - \delta ) \\ \theta & = & n_{2 \cdot } / n_{1 \cdot } \end{eqnarray*}