e/Identric mean

Information
has gloss	eng: The identric mean of two positive real numbers x, y is defined as: : \beginalign} I(x,y) &= \frac1}e}\cdot \lim_(\xi,\eta)\to(x,y)} \sqrt[\xi-\eta]\frac\xi^\xi}\eta^\eta}} \\ &= \lim_(\xi,\eta)\to(x,y)} \exp\left(\frac\xi\cdot\ln\xi-\eta\cdot\ln\eta}\xi-\eta}-1\right) \\ &= \begincases} x & \textif }x=y \\ \frac1}e} \sqrt[x-y]\fracx^x}y^y}} & \textelse} \endcases} \endalign}
lexicalization	eng: identric mean
instance of	(noun) a statistic describing the location of a distribution; "it set the norm for American homes" norm, average

Meaning
Central Khmer
has gloss	khm: មធ្យមអ៊ីដង់ទ្រិច នៃ២ចំនួនពិតវិជ្ជមាន x,y កំនត់ដោយ៖ : \beginmatrix} I(x,y) &=& \frac1}e}\cdot \lim_(\xi,\eta)\to(x,y)} \sqrt[\xi-\eta]\frac\xi^\xi}\eta^\eta}} \\ &=& \lim_(\xi,\eta)\to(x,y)} \exp\left(\frac\xi\cdot\ln\xi-\eta\cdot\ln\eta}\xi-\eta}-1\right) \\ &=& \begincases} x & \mboxif }x=y \\ \frac1}e} \sqrt[x-y]\fracx^x}y^y}} & \mboxelse} \endcases} \endmatrix} .
lexicalization	khm: មធ្យមអ៊ីដង់ទ្រិច