Alternative Equation Formats

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

MathML

δ θ i δ u i = { 1  if  < θ i < e u i  if  < min θ i < e u i  if  < θ i max < ( max min ) e u i ( e u i + 1 ) 2  if  < min θ i max <

Math Rendered as SVG

Math as LaTeX Source

\begin{equation*} \frac{\delta \theta _ i}{\delta u_ i} = \begin{cases} 1 & \text { if } \quad \quad \quad -\infty <\theta _ i<\infty \\ e^{u_ i} & \text { if } -\infty <\min \leq \theta _ i<\infty \\ -e^{u_ i} & \text { if } \quad \quad \quad -\infty <\theta _ i\leq \max <\infty \\ \frac{(\max -\min )e^{u_ i}}{(e^{u_ i}+1)^2} & \text { if } -\infty <\min \leq \theta _ i\leq \max <\infty \end{cases}\end{equation*}