Sentence examples for deduced by using the from inspiring English sources

The non-linear mathematical model of the gyro is deduced by using the nutation theory of gyroscopes.

Closed form solutions are deduced by using the U-transformation technique which leads to the uncoupling of the governing equations.

The closed-form solutions of plane and shear stresses were deduced by using the shear lag model.

Moreover, an analytic solution is deduced by using the transformed field expansion method and the convergence is established for the power series solution.

Then, the existence condition and the stability criterion of the period-n motion with single collision are deduced by using the Poincaré mapping and the Floquet theory.

The analytical solution of the fatigue crack forming life based on the nonlinear cumulative damage model was deduced by using the simply supported beam with mid-span loads as the study model.

The influence of external flame stretching on the burning velocity can be characterized and the Markstein length relative to the unburned gases (i.e., fresh gases) can be deduced by using this new tool.

The integrals of singular kernels are evaluated using modified shape functions which are deduced by using series expansions for the basis functions we choose for the local approximation models.

The relative positions of antisense miRNA in the PEG11 nucleotide sequences and corresponding PEG11 protein sequences were deduced by using annotated miRNA identified in the UCSC browser, manual sequence inspection and literature information [31].

The following inequalities could be deduced by using Young's inequality and norm inequalities with the help of changing the order of summations or exchanging the indices of the summations: (58).

Topological relationships between reacting species can be deduced by using reverse engineering for finding the differential equations compatible with observed reaction dynamics.