Sentence examples for as particular cases from inspiring English sources

In the ancient arithmetics such results are invariably presented as particular cases, without any general notational method or general proof.

As particular cases we can state the following inequalities: (1.5).

High order sliding mode (HOSM) algorithms are obtained as particular cases.

We recover classical results of two-scale and reiterated homogenization as particular cases of our formulation.

Also described as particular cases are the consequences leading to various other time discretized operators.

Classical beam models, such as Euler Bernoulli's and Timoshenko's, are obtained as particular cases.

The model contains, as particular cases, several straight beam theories as well as curved beam theories.

Classical theories, such as Love's and Mindlin's models, can be obtained as particular cases.

The results for coupled and uncoupled theories of thermoelasticity have been obtained as particular cases.

The limit includes as particular cases plate, shell, and rod theories.

Cylindrical shell, cylinder and plate results are obtained as particular cases of 3D spherical shell equations.