Geometric mechanics, which develops traditional geometric methods of mechanics, enables one to construct theories of complex coupled systems on the basis of Newtonian axiomatics without recourse to the methods of Lagrangian analytical mechanics, Euler's methods for the dynamics of a rigid body and other theories and principles.
Recourse to simulation methods could therefore be the only viable solution for these kinds of problems.
It becomes necessary to have recourse to additional methods of vibration reduction, which can be incorporated with minimum disturbance to the existing design.
Distributed loading is accounted for by using particular integrals, which allows the forced response of the system to be calculated simply without recourse to modal methods.
Therefore the equation of motion contains terms with time variant coefficients and is impossible to solve without recourse to specialised methods.
"Aristocratic and kingly" was his praise for Pericles' type of true statesmanship (literally, his "politics" or "policy", politeia), once he has given up his initial recourse to demagogic methods (Per.14.2).
As an alternative to the now common recourse to numerical methods, the following shows how the analysis of the boundary layers can be simplified to that of the bending of a tensioned straight rod.
Well-known in the literature as an NP-hard combinatorial optimization problem, this problem requires the recourse to heuristic methods, which can practically lead to good feasible solutions, not necessarily optimal, the objective being rather to reduce the convergence time toward these solutions.
The future of the whole research area dealing with regulatory networks hinges on our ability to surmount the obstacle described in the present paper either by means of mathematics (including the recourse to parametric methods) or through radical technological improvements.
Of 55 published cases of mid-trimester IUFD managed with acupuncture/EA at forbidden points, delivery of the fetus without recourse to pharmacological methods was achieved in only 13% of cases (n=7), 11 12 17 which is comparable with conservative management (reflecting the natural history of IUFD).
Anticipations are ways to come to scientific inferences without recourse to the method presented in the Novum Organum.
