the influence of social conditions on literature is an issue that many critics and scholars confirm and prove it; as duality is one of the manifestations of the influence of social conditions on the poet. it means that whenever the ambitions and beliefs of poet opposes the social facts, the duality will manifests in his poetry. the reality that the contemporary poets live in, imposes strong con...

There are two important connections between the classes of nonexpansive and of accretive mappings which give rise to a strong connection between the fixed point theory of nonexpansive mappings and the mapping theory of accretive maps. These are: (1) If U is a nonexpansive mapping of D(U) into X, and if we set T — I--U, D(T)=D(U), then T is an accretive mapping of D{T) into X. (2) If { U(i)f t^O...

421 As a matter of fact, they are from 5 different cognate ternary pairs as listed above. According to the definition cognate and the tardiness theory of the normalized ternary pair, cognate ternary pairs have the same normalization result. Therefore, any five of different cognate ternary pairs can represent total 15 different standard ternary pairs. We can select the first one from each monolo...

This paper introduces DUALITY, a design model that provides a more structured style of parallel programming and re nes causality from concurrency. We investigate semantic and syntactic transformations that support identifying the structure of a parallel program, as the basis for reducing the design complexity. The initial focus is on speci cation and correctness, then gradually adding architect...

For the approximation of fixed points of a nonexpansive operator T in a uniformly convex Banach space E the convergence of the Mann-Toeplitz iteration x„+1 = a„T(x„) + (1 a„)xñ is studied. Strong convergence is established for a special class of operators T. Via regularization this result can be used for general nonexpansive operators, if E possesses a weakly sequentially continuous duality map...

This paper introduces DUALITY, a design model that provides a more structured style of parallel programming and reenes causal-ity from concurrency. We investigate semantic and syntactic transformations that support identifying the structure of a parallel program, as the basis for reducing the design complexity. The initial focus is on specii-cation and correctness, then gradually adding archite...

Phenology-based multi-index with the random forest (RF) algorithm can be used to overcome the shortcomings of traditional deforestation mapping that involves pixel-based classification, such as ISODATA or decision trees, and single images. The purpose of this study was to investigate methods to identify specific types of deforestation in North Korea, and to increase the accuracy of classificati...

• The dual problem is always convex no matter if the primal problem is convex, i.e., g is always concave. • The primal and dual optimal values, f∗ and g∗, always satisfy weak duality: f∗ ≥ g∗. • Slater’s condition: for convex primal, if there is an x such that h1(x) < 0, · · · , hm(x) < 0 and l1(x) = 0, · · · , lr(x) = 0 (12.5) then strong duality holds: f∗ = g∗. Note that the condition can be ...