Sentence examples for relations is derived from from inspiring English sources

A set of unified relations is derived from this analysis that accounts for the strain rate effects and accurately represents the particle-to-particle contact behavior for both small and large contact areas.

Then equations of motion and force deformation relations are derived from the energy principle.

The equilibrium equations and force deformation relations are derived from energy principles.

Recurrence relations are derived from the governing equations of motion and used to determine the normal modes and frequencies iteratively.

The analytical redundancy relations are derived from bond graph model of the process by utilising of the structural and causal properties of the model.

These relations were derived from those of Warburton by taking into account a correction factor obtained by an extensive series of numerical analyses carried out by a finite element code.

Next, governing equations and force deformation relations are derived from the total potential energy for a shear-deformable, uniform beam element and a system of linear eigenproblem with non-symmetric matrices is constructed based on 14 displacement parameters.

While there are methods to calculate uncertainty around AAFs when both exposure and risk relations are derived from the same cohort [ 6, 7], no such methods exist for the case where both exposure and risk relations stem from two different meta-analyses (for general concerns and considerations see [ 5, 8, 9] and the Discussion section below).

This relation is derived from the following procedure.

This simple dispersion relation is derived from symmetry arguments [8] and exhibits the essentials of thermoelectric properties of the surface states.

An example of using the aggregation-participation structural relation is derived from the phrase "The eukaryotic cytoskeleton is composed of microfilaments, intermediate filaments and microtubules".