Sentence examples for above formulated from inspiring English sources

The similar results are true for operators acting from →B in →X under the above formulated assumptions for simultaneously →B and its dual →B′.

Another choice for γ i (t) could be (gamma _{i}(t)=max _{j=1, ldots, m_{i}(t)}beta _{i,j}^{[l]}(t)), which yielded in our experiments the results comparable to those obtained by the above formulated algorithm.

The locations for the optimal PMU placement for complete observability of the system according to the above formulated ILP are found to be at the buses 2, 4, 6, 9, 10, 12, 15, 19, 25 and 27 of the test system.

In order to solve the above formulated problem with regard to the various numbers of the equilibrium equations as well as their complexity, all equilibrium equations are coded in the form of a matrix in MATLAB software for the first time in this context.

Observed conserved and variable patterns from the multiple sequence alignment support the above formulated phylogenetic hypothesis that Clds evolved from DyP-B peroxidases by partial deletions and modifications within the frequently but not stringently duplicated ancestral DyP-related gene.

Among the many GAs available in the literature, the present study utilizes binary-coded GA to solve above formulated nonlinear optimization problems.

In this article, the handoff decision problem in the CBTC network presented above is formulated as an SMDP[25].

Participants who intended to tell the child about the donation when it was older were asked the same questions as above but formulated in the future tense.

In order to activate the signaling pathways discussed above, we formulated a cocktail containing 10nM each of TGF-β, PDGF, 5 μM each of lysophosphatidic acid and sphingosine 1 phosphate, and 0.2 μg/ml of lipopolysaccharide, along with 500 μM of palmitate.

Based on the number of corollaries of the abstract theorems given in the above, to formulate the result, one needs to introduce the spaces C h = C ( R h n ) and C h β = C β ( R h n ) of all bounded grid functions u h ( x ) defined on R h n, equipped with the norms (106) (106).

The precedence table (Table 4) for the above grammar is formulated dynamically with the help of the rules provided in the above section.