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Most attempts at quantifying contaminant transport have relied on a solution of some form of a well-known governing equation referred to as advection-dispersion-reaction equation.
Fluid flow in an extension fracture is modeled using an exact solution to the Navier Stokes equation, referred to as the general Couette flow (see Eq. 3).
For the BGK (Bhatnagar Gross Krook) equation in the large scale hyperbolic limit, the density of particles can be transformed as the Hopf Cole transformation, where the phase function converges uniformly to the viscosity solution of an effective Hamilton Jacobi equation, referred to as the kinetic eikonal equation.
The results of the 2D FE analysis are compared to the values of the proposed low-profile arch equation (referred to as the formula in the legends), and the CHBDC max limit and the bending limit (0.6 m for the low-profile arches) are illustrated in Figure 11b.
These patterns can be established using an equation referred to as the 'R value.' R is the ratio of serum activity of ALT/serum activity of ALP.
Baseline costs (i.e., the intercept term in the regression equation) referred to those costs accrued by a woman who had tick bite only (without EM symptoms) diagnosed in 1997 during an office visit.
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The relation between profit and optimal size of the CHP in relation to boiler size is investigated by maximizing the net profit equation (refer to Equation 8) with (dot {Q}_{text {chp}}) as variable.
In this equation, (refer to methods section), the n values represent a function of the dimensionality of the growth process (assumed to be spherical, circular, or linear) and the type of nucleation (instantaneous or sporadic) [27].
The first term in the equation refers to the effect of differences in cause-specific mortality increase with age (slopes).
The three equations referred to above are stated in this section, and other mathematical considerations are also included.
Both governing equations, referred to commonly as the ballistic-diffusive equations (BDE), are solved using the unstructured finite-volume procedure.
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