Abstract
THE preceding communication shows that if the partial differential indicated by ∂z/∂x1 is defined as the limiting value of the rate of change of z with respect to x1, and if we include changes due to the variation of x2 (which is dependent on x1) then the result obtained depends on the relation between x1 and x2 and in particular if dx1 = dx2 the expression is: ∂z/∂x1 = Z1 + Z2 This ‘definition’ is therefore quite useless, and on this point there is no dispute.
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ELLIOTT, G. Partial Differentiation, with Special Reference to Thermodynamics. Nature 200, 259 (1963). https://doi.org/10.1038/200259b0
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DOI: https://doi.org/10.1038/200259b0
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