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The model is derived in two steps.
The MMSE of RX 1 can be derived in two steps.
The weight factors are derived in two ways: simple averaging and weighted averaging.
Core-shell micellization of the triblock copolymers was inferred from the 1H NMR spectra derived in two different solvent environments (CDCl3 and D2O).
The inhomogeneous 2-D wave equation for the non-uniform thickness case is derived in two dimensional curvilinear coordinates defined on a curved surface by the application of Hamilton's principal.
In particular, the PCDFF is derived in two cases: (a) by considering the specimens subjected to the above three loading conditions separately (GPA single application); (b) by collecting both the specimens subjected to tension and those subjected to three-point bending in order to constitute a unique set (GPA joint application).
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A hybrid-adjoint Navier Stokes method for the pressure-based computation of hydrodynamic objective functional derivatives with respect to the shape is systematically derived in three steps: The underlying adjoint partial differential equations and boundary conditions for the frozen-turbulence Reynolds-averaged Navier Stokes equations are considered in the first step.
Explicit isotropic expressions that relate the cell face averaged line and surface integrals of a function and its derivatives to the given cell area and volume averages are derived in two and three dimensions, respectively.
Those titles, some of which were used more widely than others, derived in one way or another from the Hebrew Scriptures.
The model is derived in three steps.
The algorithm is derived in three variants, one of them especially suitable for parallel implementation.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com