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A third relation, termed the equation of state, expresses an explicit relation between the temperature, density, and pressure of a star's internal matter.
With the third relation the clogging ability of the biomass was strongly underestimated.
Simulations were performed using three different hydraulic conductivity vs. porosity relations published in literature; two relations derived from pore network simulations assuming the biomass to grow in discrete colonies and as a biofilm, respectively, and a third relation, which did not include pore connectivity in more than one dimension.
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The second relation concerns the spacing between vibrational energy levels: the vibrational energy levels of an isotopically heavier molecule lie closer together.
Second, relation of these words are mined.
So, the first relation of (3.4) holds.
The second relation has a similar proof.
Suppose that (3.5), the first relation of (3.2) and the second relation of (3.8) are satisfied.
The first relation immediately follows from (10.1) with Definition 8.1.
Let us now consider the second relation in (19).
From the second relation in, we obtain that (3.17).
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