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Re: [Phys-L] notation for partial derivatives

Given that the pressure (P) is a scalar field, dP
is the /gradient/ of P. dP is equivalent to ∇P.

ok, now I understand what are you speaking about: Grad P
or Grad V

if you have V(T,P) that gradient ( vector) will be (partial V/Partial
T, partial V/partial P)

in another coordinates V(S,U) the same vector will be (partial
V/Partial S, partial V/partial U)

the same for P and all scalars in the "thermodynamic space" of a limp
sistem with constant mass, one phase, and variable volume and internal
This kind of systems ussually have two dimensions, and all that
vectors hace two dimensions.