Dependent independent

A single experiment consists of the measurement of each of the g observed variables for a given set of state variables (dependent, independent). Now if the independent state variables are error-free (explicit models), the optimization need only be performed in the parameter space, which is usually small. 

In this appendix we shall try to show that interelectron repulsion matrix element T l j of equation (78) does not depend independently on = kg and R, but depends only on their product, 5 = kgR If we take the Fourier transform of equation (79), we obtain ... 

In most multiparameter instrumental techniques, the parameters can be classified into two types independent and dependent. Independent parameters can be optimized independently from all other parameters and can therefore be subjected to a univariate approach i.e., the variable can be adjusted until the largest signal-to-noise ratio (SNR) is obtained and set at that value for the best instrumental performance. This is the simplest situation and can be handled in a very straightforward manner. 

Self-reliance over social dependence ("Independence means making your own decisions, as well as learning to do more for yourself instead.")... 

Relation between sedimentation constant and concentration dependent independent 11... 

Within the constraints of this chapter, we were forced not to include a number of important topics, including the discussions on dependent-independent scattering, laser-material interactions, and the effect of radiation on manufacturing processes, among others. These are very important subjects however, it will be difficult to include them in a short chapter like this. Again, the reader is referred to the literature for more detailed discussions of these problems (see Refs. 1,2, and 3, and the references therein). 

Z. Ivezic and M. P. Mengii , An Investigation of Dependent/Independent Scattering Regimes for Soot Particles Using Discrete Dipole Approximation, International Journal of Heat Mass Transfer, 39, pp. 811-822,1996. 

With these four kinds of partial derivatives and many dependent properties to consider, a huge number of partial derivatives can be formed. Fortunately, only a few have simple and useful forms we are not interested here in the complicated or rarely used ones. We judge the importance of derivatives based on whether the dependent, independent, and held-fixed variables are conceptuals or measurables. Our classification scheme is summarized in Table 3.1. 

Very often, Bessel s equation can be obtained by an elementary change of variables (either dependent, independent, or both variables). For the general case, we can write... 

Consider first the case of two HFEs performed by the same crew in the main control room, without any intervening successes between the two HFEs there is consensus among the various DT models on the strong effect by the similarity of cues driving the two HFEs. If the cues are the same, all models yield complete or high dependence, independently of the remaining factors (Table 6). 

In the united-atom hmit, s = 0, this gives = 1/2 while in the separated-atom limit, s 00 we have —> 1. Beginning with a series of s-values, we can now immediately generate the corresponding values of bg andN, as shown in Table 1. Interestingly, the interelectron repulsion matrix element, T n, which seems at first sight to depend independently on the two parameters kg and R, can be shown to depend only on their product, s = kgR, (Appendix 1). The approximate functional dependence of this matrix element on s is given [19] by... 

Dependent, Independent, and Collaborative Interventions. Nurses practice dependent, independent, and collaborative interventions based on the setting, institutional policies, and the laws of their state. 

Specific, dependable, independent, and auditable are the main criteria for IPL and discussed in Chapter V. Now, the same needs to be applied for alarm system also. 

Adsorption u k. lim independent (usually) dependent independent different... 

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