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Theorem 6.5 Assume that the function f satisfies the Lipschitz condition (1.5) in D with K satisfying relation (6.4) and, moreover, D is such that G D ( r D ( f ) ) ≠ ∅. (6.20).
Let ϱ be a vector satisfying relation (34).
We say that φ is subdifferentiable at (x_{0}) if there exists (xiin H) such that varphi y) geqvarphi(x_{0}) + langlexi, y - x_{0} ranglequad text{for all } yin H. (6) The subdifferential of φ at (x_{0}) is denoted by (partial varphi(x_{0})) which consists of all ξ satisfying relation (6).
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In addition to the long and difficult working hours in factories, you don't often have satisfying relations with people in the factories.
Compared to employees who had been sexually harassed, bullied workers were more likely to quit their jobs, be less happy with their work and have less satisfying relations with their bosses.
With the aim of satisfying relations 12, 13 and 14, gg ijl, kk ijl, and vv ijl are minimized.
The theory attributes the strong reciprocation of social ties and thus the formation of the reciprocated dyads and triads to the positive affective factors that emerge through emotionally satisfying relations and which are thus self-enhanced through reciprocation (Lawler et al. 2008; Yoon et al. 2013).
Taking into consideration that SAD patients report severe problems in developing satisfying relations (see Alden and Taylor 2004, 2010, for reviews) they may well have an increased implicit wish to make contact with others.
Upon examining specific items loading on the single factor explaining a large part of the OWSQLI's score variance, we discovered that our samples' social QofL scores were affected primarily by satisfying relations with family members.
Let ξ be a primitive root in G F(24), satisfying the relation ξ 4+ξ+1=0.
Further, by using (3.4) and (3.5), the inequalities (3.1) with the parameters satisfying the relation (3.3), become.
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