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The analysis operators and the synthesis operator of MUDW strictly satisfy the pyramid condition.
Other expressions such as statistical and quasi-equilibrium which do not strictly satisfy the Exner conditions are also acknowledged for their practical use.
We demonstrate how this formulation enables the estimation of fiber orientation distributions which strictly satisfy the physical constraints of realness, symmetry, and non-negativity.
Under conditions of two-liquid phase equilibrium, the surface energies of the two liquids and the energy of the interface separating the two liquids are found to strictly satisfy the condition of perfect wetting.
This work considers an optimum design problem for the longitudinal fin array with constant heat transfer coefficient in a fuzzy environment, where rigid requirements to strictly satisfy the total fin volume and array width and maximize the heat dissipation rate are softened.
Therefore, these do not strictly satisfy Mercer's theorem [15].
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This restriction cannot be strictly satisfied in every application.
It is proved by several numerical examples that the manufacturability constraints are always strictly satisfied.
It is consistent with the rigorous electromagnetic field analysis when the approximation conditions are strictly satisfied.
Herein, we successfully rendered this desirable material compatible as lithium metal interface, which strictly satisfied the critical requirements.
All of the pseudo-time advancement terms converge monotonically and the conservation laws are strictly satisfied in the steady state.
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CEO of Professional Science Editing for Scientists @ prosciediting.com