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In this work the estimation of velocity
The recursion is incorporated into Equation 1 by replacing ℙ(C1| D c, iD, jD) with ℙ ˜ (C 1 | i D, j D, 0 ).
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Finally, the new convergence function can be incorporated into Equations 29 and 30 to give the CW sizes as follows, overline{text{CW}}_{text{ap}}=left(!1+frac{1+2text{log}_{10}m}{sqrt{bar{n}}}right)frac{2overline{Q}}{sqrt{({m}+bar{n})^{2}+2overline{Q} }- {m}- {m{n}+bar{n}.
The equation is fundamentally the same as the equation 4 in our previous report [6], but the term P (fractional D2O content) is incorporated into the equation to correct the kφ value upward when P<1.
The loss from the excited states can be easily incorporated into the equation of motion by introducing an extra term −iγeff into Eq. (7 30, where γeff = γδ2/Ω2 with γ the decay rate from the excited states.
The surface tension and wetting behavior are incorporated into the equation of motion, and pseudo periodic boundary conditions are applied.
The Peng Robinson (PR) equation of state has been used and the Wong Sandler (WS) mixing rules, that include a model for the excess Gibbs free energy, have been incorporated into the equation of state constants.
The Brownian force was incorporated into the equation of motion.
Eqn. (1) is incorporated into an equation used to calculate the oxidation rate of iron as a function of P(O2), pH and the concentration of Fe2+ in the fluid:[52].
For missing data, we employed the Full Information Maximum Likelihood (FIML) method which is naturally incorporated into structural equation models.
In addition to relationships between variables being incorporated into structural equation models it is also possible to incorporate means (or, in the case of endogenous variables, intercepts).
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