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Partial derivative

The partial derivative of a function f of a number of variables, is the derivative in which just one of the variables is treated and the others as constants

in which the symbol is used.



Other notations are

These different notations are often used interchangeably. That seems confusing, but in practice it is quite usefull.


Example 1

The most general form of the Schrödinger equation is

where is the differential operator.


Example 2

The laplacian of a function f in n coordinates is

where is the differential operator.


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