Sentence examples for as particular case from inspiring English sources

If f = identity map, then condition (1.3) can be obtained as particular case of condition (1.4).

The distribution of the substance along the nodes of the channel for the case of stationary regime is a distribution with a very long tail that contains as particular case the Waring distribution (for channel with infinite number of nodes) or the truncated Waring distribution (for channel with finite number of nodes).

Hence the MPPEP-SNP can be seen as particular case of the Steiner tree problem in a graph, a notorious N P -hard combinatorial optimization problem [ 29].

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).

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

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

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