Alternative Equation Formats

The equation on this page is available in multiple formats. Depending on your browser, some formats might not render correctly.

MathML

\begin{array}{rcl} \ln [p (u | y)] & = & \ln [p (θ | y)] + \sum_{i = 1}^{k} \ln (| \frac{δ θ_{i}}{δ u_{i}} |) \\ \frac{δ \ln [p (u_{i} | y)]}{δ u_{i}} & = & \frac{δ \ln {p [θ_{i} (u_{i}) | y]}}{δ u_{i}} + \frac{δ \ln (| δ θ_{i} / δ u_{i} |)}{δ u_{i}} \equiv \frac{δ \ln {p (θ_{i} | y)}}{δ θ_{i}} \frac{δ θ_{i}}{δ u_{i}} + \frac{δ \ln (| δ θ_{i} / δ u_{i} |)}{δ u_{i}} \end{array}

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} \ln \left[p(\mb{u} | \mb{y})\right]& =& \ln \left[p(\theta | \mb{y})\right]+\sum \limits _{i=1}^ k\ln \left(\left|\frac{\delta \theta _ i}{\delta u_ i}\right|\right)\\ \frac{\delta \ln \left[p(u_ i | \mb{y})\right]}{\delta u_ i}& =& \frac{\delta \ln \left\{ p[\theta _ i(u_ i) | \mb{y}]\right\} }{\delta u_ i}+\frac{\delta \ln \left(\left|{\delta \theta _ i}/{\delta u_ i}\right|\right)}{\delta u_ i}\equiv \frac{\delta \ln \left\{ p(\theta _ i | \mb{y})\right\} }{\delta \theta _ i}\frac{\delta \theta _ i}{\delta u_ i}+\frac{\delta \ln \left(\left|{\delta \theta _ i}/{\delta u_ i}\right|\right)}{\delta u_ i} \end{eqnarray*}