Sentence examples for are obtained through differentiation from inspiring English sources

The analytical solution provides spatial distribution of displacements and curvature, from which in-plane and intralaminar strains and stresses are obtained through differentiation and constitutive equations.

The general expressions for sensitivity computation of displacements, stresses and nonlinear critical loads are obtained through the differentiation of the finite element equations.

Once the final surface subsidence is determined, the other movement and deformations are obtained through numerical differentiations.

Displacement rates are obtained through the time differentiation of displacements obtained from two consecutive images.

The sensitivity to the crack geometry is obtained through direct differentiation with respect to the scaling center, without remeshing, mesh perturbation or velocity fields.

In the Inverse method, the series expansions for all the relevant derivatives of the eigen frequencies were obtained through term-by-term differentiations of the displacements.

In a previous study, functional evidence for a neuroblastoma suppressor gene on chromosome 11 was obtained through microcell mediated chromosome transfer, indicated by differentiation of neuroblastoma cells with loss of distal 11q upon introduction of chromosome 11.

The periodic steady state following a transient condition is obtained through a Newton method based on a Numerical Differentiation (ND) process, Poincaré map and extrapolation to the limit cycle; this method is applied before and after the simulated transient.

The first is "obtained through illicit means".

Crop insurance is obtained through private insurers.

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