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The reduction of the partial differential equation is carried out by assuming an approximate solution satisfying the boundary conditions along one direction and employing a Galerkin averaging technique known as the Kantorovich method.
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Assuming an approximate 25% loss to follow-up by three-months, it was proposed to recruit and randomise 200 participants per group giving total sample size of 600.
Assuming an approximate 25-30% loss to follow-up by six-months, we proposed to recruit and randomise 200 subjects per group (600 in total).
This difference was approximated by assuming an isotropic scattering emission in the analytical scatter model (see Appendix 1).
In a large population with no assortment, we can approximate the analysis by assuming an infinite, well-mixed population, and the fitness of producers and non-producers is given as follows: where 0⩽ x⩽1 is the fraction of producers in the population, as a producer pays a cost c that a non-producer does not pay, but its group has one more contributor (itself).
To accomplish this analysis, we first formulate a non-random iteration method that approximates MC-CMFD, by assuming an infinite number of Monte Carlo particles per cycle.
The partition of power between the direct and reverberant fields is approximated by assuming a circular plate with an equivalent surface area.
This ratio is represented by the Elsasser number, Λ, which can be approximated by assuming a characteristic current density, magnetic induction, density, rotation rate, and velocity scale: Lambda = frac{text{Lorentz}}{text{Coriolis}} = frac{left|frac{1}{rho_{o}} mathbf{J} times textbf{B}right|}{|2 boldsymbol{Omega} times mathbf{u}|} approx frac{JB}{2 rho_{o} Omega U}. (6).
An ≈95% CI around the estimated 2003 WNV infections nationwide was calculated by assuming a normal distribution with variance approximated by Taylor series (21 ).
Half-times in Fig. 3D were converted to approximate cell generations by assuming a constant cell generation time of 15.3 h, based on population growth data.
We approximated the estimation of divergence by assuming a Poisson solid.
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