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} S & = & H V H^{'} \\ = & \frac{1}{n} ({D I A G}_{r - 1}^{- 1} (p) + \frac{1}{p_{r}} J_{r - 1}) \\ where V, H, and J are as previously defined. \\ S^{- 1} & = & n ({D I A G}_{r - 1} (p) - q q^{'}), where q = {D I A G}_{r - 1} (p) j \\ S^{- 1} F & = & n {D I A G}_{r - 1} (p) F - (n \sum_{j} p_{j} f_{j}) q \\ F^{'} S^{- 1} F & = & n \sum_{j} p_{j} f_{j}^{2} - n (\sum_{j} p_{j} f_{j})^{2} \end{array}

MathML rendered with MathJax

\begin{array}{rcl} S & = & H V H^{'} \\ = & \frac{1}{n} ({D I A G}_{r - 1}^{- 1} (p) + \frac{1}{p_{r}} J_{r - 1}) \\ where V, H, and J are as previously defined. \\ S^{- 1} & = & n ({D I A G}_{r - 1} (p) - q q^{'}), where q = {D I A G}_{r - 1} (p) j \\ S^{- 1} F & = & n {D I A G}_{r - 1} (p) F - (n \sum_{j} p_{j} f_{j}) q \\ F^{'} S^{- 1} F & = & n \sum_{j} p_{j} f_{j}^{2} - n (\sum_{j} p_{j} f_{j})^{2} \end{array}

Math as LaTeX Source

$\begin{array}{rcl} \mb{S} & = & \mb{HVH}{'} \\[0.05in]& = & \displaystyle \frac{1}{n} \left( \mb{{DIAG}}_{r-1}^{-1}(\mb{p}) + \frac{1}{p_ r} \mb{J}_{r-1} \right) \\ & & \mbox{ where } \mb{V}, \mb{H}, \mbox{ and } \mb{J} \mbox{ are as previously defined.} \\[0.10in] \mb{S}^{-1} & = & n (\mb{{DIAG}}_{r-1}(\mb{p}) - \mb{qq}{'}) \quad \mbox{, where } \mb{q} = \mb{{DIAG}}_{r-1}(\mb{p}) ~ \mb{j} \\[0.10in] \mb{S}^{-1}\mb{F} & = & \displaystyle n \mb{{DIAG}}_{r-1}(\mb{p})\mb{F} - (n \sum _ j p_ j f_ j) ~ \mb{q} \\[0.10in] \mb{F}{'}\mb{S}^{-1}\mb{F} & = & \displaystyle n \sum _ j p_ j f_ j^2 - n (\sum _ j p_ j f_ j)^2 \end{array}$