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First, we set the supply and demand equilibrium formulae in the goods and services production sector and the waste sector of each industry as a constraint condition.
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These methods are: the analysis using equilibrium formulas, the analysis using flow net and the analysis through numerical modeling.
The interior heat and mass transfer of still is consistent with three-effect energy equilibrium formula, the process of which mainly includes natural convection mass transfer and radiation heat exchange.
By equation (2), we obtain the equilibrium formula (Sueoka 1988 , 1993 Now we retain Assumption 1 and replace Assumption 2 by: Assumption 3. The mutation rates u and v vary in time.
Sand transport models are often based on semi-empirical equilibrium transport formulae that relate sediment fluxes to physical properties such as velocity, depth and characteristic sediment grain sizes.
Meanwhile, when the semiconductor is exposed to the sunlight (far from equilibrium state), formula (1) can be simplified to: {R}_{S,t}={N}_{mathrm{trap}}sigma {v}^{mathrm{th}}frac{n_s{p}_s}{n_s+{p}_s} (2).
Because the number of infants included in cross-sectional surveys typically is too small for precise estimates of the frequency of SS, an alternative is to use estimates of the frequency of the βS allele among the population, together with the Hardy-Weinberg equilibrium (HWE) formula, to estimate the frequency of SS at birth.
In particular, both formulas derived from the closed form solution of equilibrium equations and a formula derived by approximating the closed form solution through an exponential law are here presented.
The asymptotic formulas for equilibrium frequencies of rational BDIM could be considered as particular cases of the corresponding formulas of general theorem 1. Proposition 3 allows one to calculate the constants in the corresponding asymptotic formulas for the sizes of domain families for a rational BDIM.
This equilibrium is described by formula (1) in the limit under consideration.
The system of singular integral equations is solved numerically using the Gauss Jacobi integration formula with equilibrium and consistency conditions.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com