where τ denotes the greatest lower bound of the set of values of a 0 for which the inequality (18b) is satisfied.
Then the solution ω of VI (4.1) is the least upper bound of the set X. Theorem 5 [2].
Denote by tau = text{the greatest lower bound of the set of possible values of}~a_{0}~text{satisfying} (14).
Then, under the DMP, the solution ω h of VI (4.3) is the least upper bound of the set X h.
Let X be a real ordered Banach space with a norm ∥ ⋅ ∥, a normal cone P and a partial ordered relation ≤ defined by the cone P, for arbitrary x, y ∈ X, lub { x, y } and glb { x, y } express the least upper bound of the set { x, y } and the greatest lower bound of the set { x, y } on the partial ordered relation ≤, respectively.
Let X be a real ordered Banach space with norm ∥ ⋅ ∥, a zero θ, a normal cone P, normal constant N and a partial ordered relation ≤ defined by the cone P. For arbitrary x, y ∈ X, lub { x, y } and glb { x, y } express the least upper bound of the set { x, y } and the greatest lower bound of the set { x, y } on the partial ordered relation ≤, respectively.
Let X be a real ordered Banach space with a norm ∥ ⋅ ∥, a zero θ, a normal cone P, a normal constant N and a partial ordered relation ≤ defined by the cone P. For arbitrary x, y ∈ X, lub { x, y } and glb { x, y } express the least upper bound of the set { x, y } and the greatest lower bound of the set { x, y } on the partial ordered relation ≤, respectively.
(0,8 -rule-3 If process (mathrm{Pr}_j) starts before process (mathrm{Pr}_i) finishes, then the vector annotation ((0,8 -rule-3-literal (R(p_i,p_j,t)) should turn to ((2,8)) that is the greatest lower bound of the set, ({ mathtt{jb}(2,10,8 -rule-3{sb}(3,9),; mathtt{If}(4,8) }).
To directly exploit these objects, one may define b0.b1b2b3... to be the least upper bound of the set of approximants {b0, b0.b1, b0.b1b2,...}.
If one nodal injection uncertainty of bus i is ( Delta tilde{P}_{i} in [Delta {underline{P}}_{i},Delta bar{P}_{i} ] ), the maximum contribution of it to transmission constraints for transmission line l will be on the bound of the uncertainty set, depending on the sign of ( varphi_{l,i} ).
