Sentence examples for use the equation of from inspiring English sources

However, T remains constant, and so one can use the equation of state to substitute P = nRT/V in equation (22) to obtain          (25) or, because PiVi = nRT = PfVf         (26) for an (ideal gas) isothermal process,         (27) WII is thus the work done in the reversible isothermal expansion of an ideal gas.

In order to determine the anharmonic effects on the elastic constants at higher temperatures, we use the equation of state (EOS) as: P = - frac{{{text{d}}U}}{{{text{d}}V}} + Talpha_{v} B_{T} (102).

Denoting creation operator for such single-particle excitation with total momentum q and energy ξ p + q, γ ′ - ξ p γ as η pq γ γ ′ +, we can use the equation-of-motion method in the RPA and, similarly to the case of plasmons, get the explicit expression for it: η pq γ γ ′ + = ∑ p ′ τ τ ′ U p p ′ q γ γ ′ τ τ ′ a p ′ + q, τ ′ + a p ′ τ, (24).

Once we have a prediction for how the beach ball universe looked, we can use the equations of physics to run the clock forward to the present day.

For thick shapes, one can use the equations of filament dynamics in a general anisotropic medium derived in [ 28].

As an alternative to extrapolating from metabolic equations, a different approach seeks to use the equations of motion to understand metabolic energy expenditure.

For pore size evaluation we used the equation of Harkins and Jura [18].

These issues can be analyzed using the equation of H h = 0.0245 × P s × q t.

The optical band gap (Eg) was estimated from the onset wavelength of absorption using the equation of Eg = 1240/λab, onset.

Kinetics of DM and starch disappearance were calculated using the equation of a + b (1 − e−c(t−L)).

From these results and using the equation of state approaches, thermal expansion coefficient has been obtained to calculate PVT parameters.