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Partial index partial derivative notation ( $\partial_{0} F$ , $\partial_{1} F$ )

This notation is not so common in basic mathematics, but it is so incredibly convenient, especially with Einstein notation as shown at Section "Einstein notation for partial derivatives":

\partial_{0} F (x, y, z) = \frac{\partial F ( x , y , z )}{\partial x} \partial_{1} F (x, y, z) = \frac{\partial F ( x , y , z )}{\partial y} \partial_{2} F (x, y, z) = \frac{\partial F ( x , y , z )}{\partial x}

This notation is similar to partial label partial derivative notation, but it uses indices instead of labels such as

x

,

y

, etc.

 Ancestors

 Incoming links

Einstein notation for partial derivatives