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The formulation derived here does not involve any derivatives of material properties and moreover, it can be proved that an arbitrary interface in the integral domain does not affect the validity and the value of the interaction integral.
The Lax Friedrichs upwind splitting is used to update the PV moment in terms of a derivative Riemann problem, and a finite volume formulation derived by integrating the governing equations over each mesh element is used to predict the VIA moment.
A mathematical formulation derived from disjunctive programming is proposed to find the optimal process design.
The formulation, derived from irr contributions in the D12 "cross-term" diffusivity.
It can be concluded that the formulation derived in Section 3.1 quite accurately describes the pmf of the number of uncovered gaps on the path.
The displacement hp space-time formulation derived from Hamilton's weak principle (HWP) is studied for simultaneous space-time solutions.
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More than 200 experiments were conducted over the parameter space, and the final formulation derives from regressions.
The formulation derives from the analytic solution of two circular sheets externally clamped, with a central rigid core connecting them (representing the spot weld).
The results obtained were used to validate the formulations derived from a struts-and-ties model.
For run-out prediction, empirical formulations (derived from a large sample of landslides statistical data) and analytical approaches (i.e. simple sliding block models) indeed provide valuable information.
The governing equations consistent with the mixed formulations, derived from the Hellinger Reissner variation principle, are also presented.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com