In order to reduce the system to a manageable number of equations we constructed approximate forms as before.
This model is necessarily elementary, both because we cannot hope to capture the complexities of lizard ecology and population structure in any manageable set of equations and because there is no information with which to parameterize the model.
A variational approach is utilized to derive the governing differential equations, and the Galerkin method is implemented to cast the problem into a manageable set of algebraic equations.
Matrix algebra was also associated with the advent of input-output analysis, an empirical method of reducing the technical relations between industries to a manageable system of simultaneous equations.
This paper tackles basic features of GIC flow in a fictitious five-transformer/four-line power system, which is simple enough to make the equations easily manageable but complex enough to yield real and usable information.
In this paper a descriptive, yet manageable, set of governing equations of motion are derived for a cantilever beam beam with a lumped end mass by a straightforward treatment of the system kinematics, and the subsequent use of Lagrange's formulation in conjunction with the kinetic and potential energy functions.
At first, she says, her new equation was "more manageable" than she had expected.
Numerous authors have indicated that these errors can be substantially reduced by splitting or breaking down the plus fraction into a manageable number of fractions for equation of state calculations.
On the other hand, in LM, the introduction of the Lagrange multipliers leads to a larger size of the coefficient matrix, and the solution of the equation system, even if manageable with sparse matrix techniques, is slower.
Here, we will argue that for the kinds of model studied in population biology and epidemiology, this field theoretic description is notationally neater and more manageable than standard methods, in often replacing sets of equations with single equations with the same content.
Galperin has come up with a clever way to strip the huge set of equations down to something more manageable.
