Sentence examples for equation descriptions from inspiring English sources

The basics of nonlinear differential equation descriptions of dynamical systems such as linear stability and phase-plane analysis.

We will assume the reader has familiarity with the following: The basics of nonlinear differential equation descriptions of dynamical systems such as linear stability and phase-plane analysis.

Aspects covered include bond graph descriptions, differential equations and differential algebraic equation descriptions, state-variable models, transfer function models, models involving distributed parameter elements and an introduction to some commonly used modelling and simulation software tools.

The weakly nonlinear approximation breaks down and the amplitude equation description is not valid anymore.

This approach is suitable for distributed parameter systems in order to reformulate their partial differential equation description as sets of transfer functions.

In this paper we have limited ourselves to systems with constant relative volatilities, constant molar overflow and the differential equation description of the distillation column.

It is recognized as a general procedure for mechanical approximation to all physical problems that can be modeled by differential equation description [6].

We also develop a more traditional discrete location model in the form of a mixed-integer program, which builds directly upon a nonlinear partial differential equation description of customer traffic equilibrium.

In the absence of damping, the domain of unstable wave vectors extends to zero, which rules out an amplitude equation description, except, perhaps, for the first stages of the evolution, which is dominated by the fastest growing modes and the ones generated by nonlinear interactions.

Hence it follows that generally a reduced CME description does not exist under timescale separation conditions, though a reduced Langevin equation description, i.e., the ssLNA, always exists.

The equations (1) lead to a Master equation description that can be sampled exactly by means of the Gillespie algorithm [ 32].