Sentence examples for use the equation 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.

We use the equation u t + 6 u u x + 6 u 2 u x + u xxx = 0, Open image in new window (3.3).

In this case, we use the equation for the entropy of a mid-tread quantizer, (42), to calculate H(E Q).

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).

In order to use the equation, peaks must be broadened due to crystallite size, not due to instrument optics, so the peaks that are not well resolved are not taken into account.

It was preferred to use the equation obtained for blood-to-plasma corrections rather than a constant value, which would consequently underestimate plasma concentrations at early time points with perturbation of tracer uptake or unidirectional influx rate value (i.e. K1) as a result.

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).

It is determined using the equation: (1).

Using the equation, we check that.

Am are calculated using the equation (13).

The shock index was estimated using the equation: HR / sBP.