Sentence examples for duality relations between from inspiring English sources

Next, we establish duality relations between primal (P) and dual (DM1).

We establish weak, strong and converse duality relations between (NFVP)′ and (NFVD ′.

In this section we give some weak, strong, converse duality relations between problems (D) and (FP).

A summary of duality relations between PR-FMT systems (biorthognal) and FTN-FMT systems can be found in Table 1.

Also, Egudo [6] and Weir [2] have used proper efficiency to obtain duality relations between primal problem and Mond-Weir type dual problem.

As already mentioned, the duality relations between the various string theories suggest that they are all perturbative expansions of some more fundamental, non-perturbative theory known as 'M-theory' (Polchinski, 2002, see the Other Internet Resources section below).

In this section, we state duality theorems for problems (NFVP)′ and (NFVD ′, which lead to corresponding relations between (NFVP) and (NFVD).

The relations between FLO and the TLO[9] multicarrier formats can be established through their time-frequency duality, as illustrated in Figure 1.

Theorem 5.3 We have the reduction and duality relations for the generalized Bose-Einstein functions (55).

We now prove the duality relations for the following Mond-Weir-type dual problem.

Theorem 5.2 We have the reduction and duality relations for the generalized Fermi-Dirac functions (49).