Sentence examples for dual relation of from inspiring English sources

Often, it is denoted by (mathcal{R}^{s}).  . the inverse (or transpose or dual) relation of (mathcal{R}), is defined as mathcal{R}^{-1}=bigl{ (x,y in X^{2}:(y,x inmathcal{R} bigr} mbox{ which is denoted by } mathcal{R}^{-1}; the symmetric closure of (mathcal{R}) is defined as the smallest symmetric relation containing (mathcal{R}) (i.e., (mathcal{R}^{s}:=mathcal{R}cupmathcal{R}^{-1})).

The dual relation of dreams and nightmares will be the subject of the forthcoming double album that the band is returning to Australia to make.

Solving from primal dual relation for different values of weights, we get the optimal values of the decision variables which are given in Table 1.

An answer is given in terms of a dual relation which involves positive measures in the disk with bounded Poisson balayage.

While the existing algorithm is based on the equivalence of G(D) and G P DD), the proposed algorithm uses the dual relation between H(D) and G P DD).

His philosophy has also presented to his Buddhist and Christian readers serious challenges, such as a notion of a non-dual relation between God and man, and an emphasis, unusual in Buddhism, on the embodied self in the historical world.

and dual variables have the relation of λ i, j i [ k + 1 ] + λ i, j j [k + 1] = 0, where Π p denotes the projection operation on set.

The dual-phase-lagging heat-conduction equation originates from the first law of thermodynamics and the dual-phase-lagging constitutive relation of heat flux density [68, 71].

The relation of the dual thyroxine/vitamin D-binding protein (TBP/DBP) of emydid turtles to vitamin D-binding proteins of other vertebrates.

The dual basis functions must satisfy the relation of duality (2.7).

These results are obtained as special cases of properties of "*-paired Banach spaces," a notion generalizing the relation of a reflexive Banach space and its dual.