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The following three methods of derivation were used to derive the bond-valence parameters of ions observed in only one coordination: (1) Fix R o to the value predicted by equation (22) (ionization energy), or to the mean of the values predicted by equations (22) and (23).
Then, the methods of derivation are subsequently used for the average user rate.
The application of the extended Lagrange equations in combination with a Ritz method directly results in a set of nonlinear ordinary differential equations of motion, as opposed to the methods of derivation previously published, which result in partial differential equations.
Under political liberalism, autonomy of persons is postulated, not as a metaphysically grounded "fact" about moral personality or practical reason as such, but rather as one of several "device[s] of representation" under which diverse citizens can focus on the methods of derivation (such as the original position) for substantive principles of justice (Rawls 1999, 303 58).
Table 1 ▸ compares two common methods of derivation to the GRG method for the 90 ions.
The advantages and disadvantages of these (and other) methods of derivation have been considered, leading to the conclusion that current methods of derivation of bond-valence parameters are not satisfactory.
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These may be as reported, or derived by various means (see below), with the method of derivation noted.
Parameters derived by fixing a parameter are identified by their method of derivation (1, 2 or 3) in Table 4 ▸.
The structure of the algorithm families are described, and the method of derivation of the coefficients presented.
Background of range analysis for multiplication is presented in Section 2. Section 3 presents the method of derivation of the two parts for multiplication.
The method of derivation is based on the total differential scheme and then takes its partial differentiation accordingly.
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