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{aligned} C o v [A Y, U] = & A C o v [Y, U] \\ C o v [Y, B U] = & C o v [Y, U] B^{'} \\ C o v [A Y, B U] = & A C o v [Y, U] B^{'} \\ C o v [c_{1} Y_{1} + c_{2} U_{1}, c_{3} Y_{2} + c_{4} U_{2}] = & c_{1} c_{3} C o v [Y_{1}, Y_{2}] + c_{1} c_{4} C o v [Y_{1}, U_{2}] \\ + & c_{2} c_{3} C o v [U_{1}, Y_{2}] + c_{2} c_{4} C o v [U_{1}, U_{2}] \end{aligned}

MathML rendered with MathJax

\begin{aligned} C o v [A Y, U] = & A C o v [Y, U] \\ C o v [Y, B U] = & C o v [Y, U] B^{'} \\ C o v [A Y, B U] = & A C o v [Y, U] B^{'} \\ C o v [c_{1} Y_{1} + c_{2} U_{1}, c_{3} Y_{2} + c_{4} U_{2}] = & c_{1} c_{3} C o v [Y_{1}, Y_{2}] + c_{1} c_{4} C o v [Y_{1}, U_{2}] \\ + & c_{2} c_{3} C o v [U_{1}, Y_{2}] + c_{2} c_{4} C o v [U_{1}, U_{2}] \end{aligned}

Math as LaTeX Source

\begin{align*} \mr{Cov}[\mb{AY},\bU ] =& \, \, \bA \mr{Cov}[\bY ,\bU ] \\ \mr{Cov}[\bY ,\mb{BU}] =& \, \, \mr{Cov}[\bY ,\bU ]\bB ' \\ \mr{Cov}[\mb{AY},\mb{BU}] =& \, \, \bA \mr{Cov}[\bY ,\bU ]\bB ' \\ \mr{Cov}[c_1\bY _1+c_2\bU _1,c_3\bY _2+c_4\bU _2] =& \, \, c_1c_3 \mr{Cov}[\bY _1,\bY _2] + c_1c_4 \mr{Cov}[\bY _1,\bU _2] \\ +& \, \, c_2c_3 \mr{Cov}[\bU _1,\bY _2] + c_2c_4 \mr{Cov}[\bU _1,\bU _2] \end{align*}