In South Africa, on the other hand, there is a sparse resident population believed to have been derived, within the twentieth century, from migrants that formerly made a longer journey.
The validity of these formulas derived within the common stress domain was demonstrated.
Exact results are derived within the context of small deformation linear elasticity.
The field equations are derived within the framework of a linear, Biot-like isotropic poroelastic theory.
The constitutive relationships are derived within the general framework of rate-independent, isotropic, finite strain elastoplasticity.
In addition, the J-integral of fracture mechanics is derived within the same framework.
Analytical model for the overall compliance matrix has been derived within the framework of the screw theory.
To this end, basic static and dynamic oxide TFT models are derived within the framework of appropriate equivalent circuits.
The method is derived within the finite deformation framework for multidimensional problems by using a total Lagrangian formulation.
A mass-conservative version of the forward-trajectory semi-Lagrangian scheme is also derived within the cascade interpolation framework.
Two approximations are derived within the framework, and some theoretical properties, e.g. variance estimate and consistency, are also provided.
