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For thin cracks, the effective elastic constants are formulated as a function of the crack density parameter (O'Connell and Budiansky 1974).
Finally, fuzzy memberships to various critical zones are formulated as a function of end-state probabilities to judge the safety status of a chemical plant.
The formulation of gas-oil emulsion is studied in the laboratory, and the variations in the bulk modulus and mass density of the emulsion are formulated as a function of the gas volume fraction.
The parameters such as interfacial polarization resistance, three-phase boundary (TPB) length, and effective electrode thickness are formulated as a function of effective TPB resistivity, ionic resistivity, and cathode structure characteristics including electrode composition, porosity, particle size of electrocatalyst and electrolyte, and thickness.
The prior probability and, therefore, the prior odds, of a candidate model are formulated as a function of regulatory potentials.
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An equation to determine the discharge coefficient is formulated as a function of quality.
It is shown that this constitutive law can be formulated as a function of a physically-based damage parameter.
Overall, the binder and CO2 intensities could be formulated as a function of the individual substitution level of each SCM.
Velocity and resistivity in a fluid-bearing rock should be formulated as a function of a structural parameter such as fluid volume fraction.
For each reaction, a kinetic expression (R) is formulated as a function of mass concentration (C) and kinetic parameters (k 0, E).
The input-output relationship of nonlinear Volterra kernels can also be formulated as a function of coefficient matrices instead of coefficient vectors.
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