Sentence examples for formulated through the from inspiring English sources

Following this overview is a historical survey of the most influential concepts about the atom that have been formulated through the centuries.

The methods formulated through the scheme consist of three steps.

We find conditions formulated through the parameters of the model and the argument function.

The macroscopic models are then formulated through the integration of the smaller scale models.

The macroscopic models are then formulated through the integration of small scale models.

Convergence analysis shows that the methods, and family of methods, formulated through the scheme are sixth-order convergent.

Because the finite motions of the PKM's moving platform can be obtained as the intersection of those of its limbs, and the finite motions of each limb are the composition of those of all joints in it, following analytical equations can be formulated through describing the finite motions of the PKM, its limbs and joints as finite screws.

Based upon Eq. (24), the instantaneous screw system of the PKM can be directly formulated through differentiating the finite screw given in its topological model.

The coalescence of bubbles is formulated according to the random collision driven by turbulence and wake entrainment, and the breakage of bubbles is formulated through considering the impact of turbulent eddies.

Similar results were obtained with other variations, formulated through altering the characteristic factors α, β and γ in Equation 4c.

Texts based on interviews are formulated through interaction between the respondent and the person conducting the interview.