Sentence examples for application of lie from inspiring English sources

The dynamical model is established in classical Hamiltonian systems with the application of Lie transform to remove the non-resonant terms.

Overall, it is shown, in particular, that the application of Lie group analysis allows one to extend the previous analytic results for the first order reactions to nth order ones.

Eleven Cancer Voices NSW consumer representatives, who had undertaken the Cancer Council NSW's Consumer Involvement in Research Training Program (a 2-day intensive training program in research methods and the application of lay criteria to evaluate research protocols) [ 35] critiqued these summaries.

A selection of applications of Lie group integrators are discussed.

For many other applications of Lie symmetries refer to [2, 3, 4, 5].

Determining the group invariant solutions, construction of new solutions for the system from the known ones, classification of the group invariant solutions, reduction of the order of ordinary differential equations, detection of linearizing transformations, and mapping solutions to other solutions are the other important applications of Lie groups in the theory of differential equations.

He calmly dismissed the suggestion that the application of fMRI lie detection is premature.

For the theory and application of the Lie group analysis methods, see, e.g., the Refs. [7 12].

Application of the Lie symmetry method for constructing the explicit solutions of the NLPDEs can always be regarded as one of the most important fields of mathematical physics.

To the best of our knowledge, application of the Lie method to the space-time FPDEs and the systems of space-time FPDEs appeared only in [1, 2].

We study an application of such Lie N-algebroid methods in order to elaborate a rigorous geometric formalism for the optic-mechanical modelling of gravitational processes like in analogous gravity.