Alternative Equation Formats

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MathML

\begin{aligned} X^{'} (f (\hat{β}) + X (β - \hat{β})) & = X^{'} Y \\ (X^{'} X) (β - \hat{β}) & = X^{'} Y - X^{'} f (\hat{β}) \\ (X^{'} X) Δ & = X^{'} r (\hat{β}) \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} \mb{X}^{\prime }\left(\mb{f}(\widehat{\bbeta }) + \mb{X}(\bbeta - \widehat{\bbeta })\right) & = \mb{X}^{\prime }\mb{Y} \\[0.05in] (\mb{X}^{\prime }\mb{X})(\bbeta - \widehat{\bbeta }) & = \mb{X}^{\prime }\mb{Y} - \mb{X}^{\prime }\mb{f}(\widehat{\bbeta }) \\[0.05in] (\mb{X}^{\prime }\mb{X}) \bDelta & = \mb{X}^{\prime }\mb{r}(\widehat{\bbeta }) \\ \end{align*}