The key point in the proof of this lemma is the observation that, as a consequence of (6.5), the real tangential Hessian of any defining function for a domain as in Lemma 3 is positive definite when restricted to the complex tangent space T w C ( b D ) (viewed as a vector space over the real numbers).
However, the results from [11] obtained by using the restricted definite q-integral which is a finite sum as a special type of the definite q-integral.
As the degree of confidence for the vast majority (>91%) of agents in this study were assessed as probable or definite, analyses were restricted to exposures with a high (⩾40%) confidence of exposure.
An anxiety disorder may develop where anxiety is insufficiently managed, characterized by a continuing or periodic state of anxiety or diffuse fear that is not restricted to definite situations or objects.
We also performed analyses restricted to definite and probable cases only.
An analysis restricted to definite cases showed no evidence of an increased risk of liver injury during treatment.
Analyses of TB diagnosis were restricted to definite TB, defined as a sputum culture positive for M. tuberculosis.
In the analysis restricted to definite cases, an increased risk of liver injury was seen in the 90 days before orlistat prescription (1.75, 1.05 to 2.91).
To minimize misclassification, the outcome for this analysis was restricted to definite and probable new infections, and the reference group with persistent negative results who had been exposed to H. pylori infection at baseline.
Here, we restricted the definite level of diagnosis to cases for which there is a pathological examination of dorsal root ganglia which is at present the only way to demonstrate neuron degeneration (Griffin et al., 1990; Colli et al., 2008).
In comparison with existing results, the constraint condition of the positive definition of the LKF is more relax, since we take the LKF as a whole to examine its positive definite instead of restricting each term of it to positive definite.
