Sentence examples for solutions are assumed from inspiring English sources

Yet, these solutions are assumed to be inapplicable to modern buildings.

Approximate solutions are assumed for the space domain and substituted into the equations of motion.

Approximate solutions are assumed and Galerkin procedure is applied to derive nonlinear relations of load and deflection.

Approximate solutions are assumed and Galerkin procedure are applied to obtain explicit expressions of buckling loads and load deflection relations.

Approximate analytical solutions are assumed to satisfy simply supported boundary conditions and Galerkin method is applied to obtain closed-form relations of bifurcation type buckling loads.

Approximate solutions are assumed to satisfy clamped boundary conditions and Galerkin method is applied to derive explicit expressions of buckling loads and load deflection relations.

The existence of upper and lower solutions is assumed.

No order between lower and upper solutions is assumed.

In addition, the temperatures of the calculated mixed solutions were assumed to scale linearly with the temperatures of the end-members, ignoring conductive cooling and/or heating.

If the first/second nodal plane of the F-net solutions is assumed to be the receiver fault mechanism (the total number of earthquakes is 211/210), the number of earthquakes with positive ΔCFF is 123/123 (~60%), and the number of earthquakes with negative ΔCFF is 88/87 (~40%).

The cloud of solutions is assumed to correspond to, or to be fully contained in, a hyper-ellipsoid.