Alternative Equation Formats

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

MathML

{ a 1 a + b 2 × M + b 1 a + b 2 × m a > 1 , b > 1 m  and  M a < 1 , b < 1 m { a < 1 , b 1 a = 1 , b > 1 M { a 1 , b < 1 a > 1 , b = 1 not unique a = b = 1

Math Rendered as SVG

Math as LaTeX Source

$ \left\{ \begin{array}{ll} \frac{a-1}{a+b-2}\times M+\frac{b-1}{a+b-2}\times m & a > 1, b > 1 \\ m \mbox{ and } M & a < 1, b < 1 \\ m & \left\{ \begin{array}{l} a < 1, b \geq 1 \\ a = 1, b > 1 \\ \end{array} \right. \\ M & \left\{ \begin{array}{l} a \geq 1, b < 1 \\ a > 1, b = 1 \\ \end{array} \right. \\ \mbox{not unique} & a = b = 1 \end{array} \right. $