Finally a system of ordinary differential equations with time varying coefficients governing the system dynamics is developed.
Another issue is the fact that one can generate different logics, not by varying the rules governing any particular expression, but rather by varying the more general structural rules of the logic, which govern things like whether or not one is allowed multiple conclusions, and whether or not a premise can be used more than once in a proof.
The states have varying laws that govern access to health insurance.
The system, consisting of two coupled partial differential equations with time varying coefficients, which govern the small lateral displacements of the beam, is reduced to a Hill system, by using the Galerkin procedure.
Within the framework of a weakly nonlinear theory the use of the Euler equations supplemented with the appropriate boundary conditions at the solidification front and the free surface yields two Korteweg de Vries equations with varying coefficients, which govern the propagation of the waves.
One of the beautiful aspects of our scientific theories is precisely the fact that, although neither the laws nor their input parameters are varying, the phenomena governed by those laws are ceaselessly evolving.
Moreover, the gradient governing the varying thickness shows significant influence on the crashworthiness performance of FLGT.
A comprehensive parametric analysis is carried out by varying the main parameters governing the dynamic response of piles like the soil properties, the bedrock location, the diameter and embedment in the bedrock of piles.
For example, varying arrangements within practices governing access to appointments and the ease, or not, of maintaining continuity of care were seen to contribute to professional anxiety by impeding attentive 'watchful waiting', and some GPs described attempts to circumvent inflexible appointment systems in order to be more available to patients.
The citizens actually governed in varying degrees, depending upon the form of government e.g., tyranny, oligarchy, aristocracy, or democracy.
