Sentence examples for derived consistently from inspiring English sources

The internal force vector and corresponding tangent stiffness matrix of each element under large displacements are derived consistently, and novel expressions for the tangent stiffness operator which ensure the convergence rates of the Newton-Raphson scheme are developed.

Using Hamilton's principle and including the rigid body translation and tilting motion, partial differential equations of motion of the spinning flexible disk and spindle are derived consistently to satisfy the geometric compatibility in the internal boundary between substructures.

However, fiber tract volumes were derived consistently for all subjects and likely reflect inter-individual differences.

By optimization of the energy functional, we derive consistently coupled Poisson Kohn Sham equations.

Nevertheless, the derived estimates consistently revealed lower survival and tentatively increased RER of death of patients without guideline compatible local and adjuvant systemic treatment.

The 3′TE and 5′TE polymorphic sites of the crtRB1 candidate gene were found to be significantly associated with carotenoids, and all the derived traits, consistently over the two years (α = 0.01).

It is the model with but not the model without solute drag that can be derived self-consistently in thermodynamics.

The equations of self-gravitating hydrodynamics in the SPH framework are derived self-consistently from a Lagrangian and account for variable smoothing lengths ('GRAD-h') terms in both the hydrodynamic and gravitational acceleration equations.

They also note that standard ordinary least squares (OLS) estimates are only appropriate with extremely restrictive assumptions, and that bootstrapping is the only method to derive inference consistently.

Our model is consistently derived from general 3D continuum mechanics statements.

The formulation of the model has been consistently derived within a thermodynamic framework.