Alternative Equation Formats

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MathML

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 ) b 2 / ( 3 a ) 2 c / 3 a a = 1 + θ b = ( 1 + θ + p ^ 1 + θ p ^ 2 + δ ( θ + 2 ) ) c = δ 2 + δ ( 2 p ^ 1 + θ + 1 ) + p ^ 1 + θ p ^ 2 d = p ^ 1 δ ( 1 + δ ) θ = n 2 / n 1

Math Rendered as SVG

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*}