The use of PMAT is best illustrated by an example. Consider, for example, that you want to express the overall specific heat capacity as a function of two locally existing species (A and B) as follows:

(9–1)

where and are the specific heat capacities of species A and B, and and are the mass fractions of species A and B.

This relationship can be restated as

(9–2)

where is a specified value and

(9–3)

with and as linear functions of and , respectively.

Clearly, can be regarded as a sum of elementary functions of the polynomial form.