Sentence examples for formulated separately by from inspiring English sources

Four different coal tar free formulations were formulated separately by using these approaches.

The essential boundary conditions are formulated separately from the discrete system equations by the aid of Lagrange multiplier method, while an orthogonal transformation technique is also applied to impose the essential boundary conditions in the discrete eigen-value equation.

Also individual unit and aggregate models are formulated separately to develop the idea of selective measures.

The models for process engineering and biological processes are formulated separately and implemented in a suitable program structure.

In order to reproduce this material behavior, the elastic energy is formulated separately for each crystallographic phase and variant in the model described in this work.

Priorities and targets need to be formulated separately for each Zone.

Interestingly, this concept was first formulated by algebraists, not by logicians.

The training phase is depicted in Fig. 1, where the HMM of the speakers are trained separately, and their coupling is formulated by the observation probability within the FHMM framework.

The whole system is divided into two separately formulated substructures, the track and the ground, and the rail is described by introducing the Green function for an infinitely long Euler beam subjected to the action of moving axle loads of the train and the reactions of the sleeper.

Learning by conditioning was formulated by B. F. Skinner who was an American psychologist.

He says the country's positions are formulated only by himself and the prime minister.