Alternative Equation Formats

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MathML

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 ]

Math Rendered as SVG

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*}