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In Fig. 4, we first consider the bias and standard deviation for the case of dependence.
In the case of dependence, the first row, we see that our estimator lies in about 80% of the cases within the 95% confidence interval of the Monte Carlo estimator.
7 8 A social tolerance of WP smoking by parents may explain this finding, 17 who may intervene with their offspring in case of dependence only; additional studies are necessary to evaluate whether parents are able to differentiate between occasional WP smokers and dependent WP smokers among their children.
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We will now consider a more systematic method for dealing with cases of dependence involving the essences or essential properties of objects.
The usefulness of the approach was illustrated by working through an example in two cases of dependence and independence of variables.
That's why, in most cases of dependence, relapse is rare: once people have fully emerged from withdrawal and no longer need the substance to cope with the symptoms they had originally, they have no craving and don't ever want to repeat withdrawal.
Patients were aware that alcohol is responsible for greater mortality than HIV and more cases of dependence than marijuana, tying in with the fact that in the broader context of alcohol's impact on society, patients almost universally (94 %) considered it a 'significant problem in the UK'.
Regularity properties in parameter dependent elliptic equations were derived in [14] for a polynomial dependence, and in [3, 13, 14] for the case of linear dependence of a complex parameter.
For isotactic polypropylene, poly ethylene terephthalate) and poly(ϵ-caprolactone), the dependence is non-linear and close to the limiting case of exponential dependence, which indicates nucleation-controlled kinetics of melting.
One of such models is the Laplace distribution, which can be applied in the case of symmetric dependence of the conversion degree on temperature.
In the case of rational dependence, an approach is proposed involving an optimization problem over parameter independent LMI constraints (which is finite dimensional).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com