Sentence examples for mathematically and the from inspiring English sources

The influence of the rib resistance was analysed mathematically and the corresponding correction was determined.

The design problem was modeled mathematically and the equations originating from this model were solved using Engineering Equation Solver.

These effects were modeled mathematically, and the results showed varying effects on growth rate depending on dose and herbal recipe.

In this algorithm, some factors have been defined by which the relation between the optimization time and these factors have been calculated, both experimentally and mathematically and the appropriate values of these factors are obtained to reduce the optimization time.

In this paper, the charge induced on the electrodes of an ESA with different geometric sizes from a single particle having a unity charge is modelled mathematically, and the 3-dimensional electrostatic field due to the charged particle in the sensing zone of the ESA is solved by using a Finite Element Method.

We will outline how these features can be captured mathematically, and the implications for drug development.

Finally, we investigate the new model mathematically and establish the existence of the minimum to the new energy functional.

Moreover, we investigate the new model mathematically and establish the existence of the minimum to the new energy functional.

The constitutive equations represent the materials properties mathematically and define the relationships between load, deformation, lifetime cycles, crack growth rates and stress intensities.

Moreover, this section formulates the whole UMS approach mathematically and analyses the influences of UMS on transmission lines in term of security and economy.

The most favored candidates for its identity come from a theory called supersymmetry, which unifies three of the four known forces of nature mathematically and posits the existence of a realm of as-yet-undiscovered particles.