Alternative Equation Formats

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MathML

\begin{aligned} AD & = N \sum_{i = 1}^{K + 1} \int_{Z_{i - 1}}^{Z_{i}} \frac{(F_{n} (z) - z)^{2}}{z (1 - z)} d z \\ = N \sum_{i = 1}^{K + 1} \int_{Z_{i - 1}}^{Z_{i}} \frac{(F_{n} (Z_{i - 1}) + S_{i} (z - Z_{i - 1}) - z)^{2}}{z (1 - z)} d z \\ = N \sum_{i = 1}^{K + 1} \int_{Z_{i - 1}}^{Z_{i}} \frac{(P_{i} - Q_{i} z)^{2}}{z (1 - z)} d z \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} \text {AD} & = N \sum _{i=1}^{K+1} \int _{Z_{i-1}}^{Z_ i} \frac{(F_ n(z) - z)^2}{z (1-z)} dz \\ & = N \sum _{i=1}^{K+1} \int _{Z_{i-1}}^{Z_ i} \frac{(F_ n(Z_{i-1}) + S_ i (z - Z_{i-1}) - z)^2}{z (1-z)} dz \\ & = N \sum _{i=1}^{K+1} \int _{Z_{i-1}}^{Z_ i} \frac{(P_ i - Q_ i z)^2}{z (1-z)} dz \end{align*}