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In such cases, a mesoscopic spatial model can be formulated by first discretizing the computational domain into subvolumes, or voxels.
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The free bases were formulated by first dissolving the substances in NMP and then diluting with PEG300 to a final concentration of 10% v/v NMP and 90% v/v PEG300, producing clear solutions of the compounds.
The composite laminated doubly-curved shells of revolution are divided into their segments in the axial direction, and the theoretical model for vibration analysis is formulated by applying first-order shear deformation theory.
The problem is formulated by combining the first passage failure model with stochastic models of crack propagation.
Closed form transient response for the stationary constant point load case is obtained; for the case of damped vibration, the response of rotating tire is formulated by using the first-order matrix perturbation theory together with Meirovitch modal analysis method.
The nonlinear governing equations of motion are formulated by the Love's first approximation theory and von Karman-type nonlinear strain-displacement relationship.
Both approaches are formulated by means of a first-order perturbation technique, whereby the real modes of vibration of the undamped system are used to derive approximate expressions for the complex eigenvalues and eigenvectors of a nearly proportionally damped system.
In the joint statement, the two sides noted that what was called the "one China policy" and the French view of Tibet's status had first been formulated by Charles de Gaulle in the late 1950s and 1960s.
Distances in uniform spaces had first been formulated by Vályi [46].
The Continuum Hypothesis (henceforth CH) was formulated by Georg Cantor, and was the first problem on Hilbert's list of twenty-three unsolved problems as given in his famous address to the International Mathematical Congress in Paris in 1900.
The kinematic field equations are formulated by layerwise application of a first-order shear deformation theory.
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