independent equations

independent equations

[‚in·də′pen·dənt i′kwā·zhənz]
(mathematics)
A system of equations such that no one of them is necessarily satisfied by a solution to the rest.
References in periodicals archive ?
Therefore, there are a total of seven independent equations needed for the complete solution of all actual elastic-plastic stress and strain components at the notch root.
This will introduce many independent equations to the EEG inverse problem and improve source estimation, having critical impact on the diagnostic capabilities of EEG as well as on its use in emerging applications such as neuro-feedback and brain-computer interface (BCI).
4945; LR test of independent equations (p = 0) = 2.
The tests for independent equations (lack of self-selection) are rejected for each specification and point to a self-selection of bankers on company boards.
Among those methods, the method of modal truncation where the initial system of equations is divided to a number of independent equations is widely used; each of such independent equations describes modal vibrations of one natural frequency and then the equations corresponding to high natural frequencies are rejected (see, for example [10-14]).
50--a software program that requires only a laptop and a microphone--use psychological pattern detection as well as three different and independent equations.
We obtain 3 independent equations for each set of the modal parameters (m,n):
to derive independent equations of current, post-fault conditions, substituting I[A.
In fact, there is a complex structure of covariance among them, which we capture at this first stage by using five independent equations.
In order to get the time independent equations, we introduce the following transformations
In addition, the analysis conducted a likelihood ratio test of independent equations in the bivariate probit models (Greene, 1998, 2000; Alexandre and French, 2001).
28) uncouple into two independent equations and the problem becomes two separate problems for half-spaces [x.

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