One is to enhance the accuracy of the relation between hydrogen surface mass fraction and streamwise Reynolds number by directly integrating the Kármán momentum integral relation without local similarity hypothesis.
3) The third step involves estimation of the unrestricted co-integrating relations in the vector error correction models (based on equation 7) and tests of hypotheses (or imposition of implied restrictions) to determine the long run equilibrium relationship.
This paper proposes a linguistic multiperson decision making model (LMDMM) based on linguistic preference relations, integrating fuzzy preference relations, different types of multiplicative preference relations and multigranular linguistic preference relations.
Integrating in relation (3.40) on and using Lemma 2.6, we deduce that.
These have been integrated relative to their relation to identity diffusion.
end{aligned} (25) We integrate this relation over (Btimes [0,t]), (tin [0,T)), and use the divergence theorem and equation (12) to obtain equation (19).
end{aligned} (17) We multiply (16) by (overline{f (x, lambda_{2} )}) and (17) by (f (x, lambda_{1} )), subtract the latter from the former, and finally integrate this relation according to x from 0 to ∞.
end{aligned} (22) We integrate this relation over (Btimes [0,t]), (tin [0,T)), and use the divergence theorem and equation (11) to obtain equation (18). We have frac{partial }{partial s} biggl{ frac{1}{2}frac{1}{theta_{0}}c theta^{2}(s) biggr} = theta (s)frac{1}{theta_{0}}c dot{theta }(s).
In a similar vein, Strand and Leydesdorff (2013) concluded on the basis of the full set of Norwegian firm data that the knowledge base of this national system was no longer primarily integrated in relation to the national universities, but driven by foreign investments in offshore industries in the western parts of the country.
end{aligned} (27) We integrate this relation over (Btimes [0,t]), (tin [0,T)), and use the divergence theorem and equation (13) to obtain equation (20). □. Let us consider a solution of the initial boundary value problem corresponding to the external data (mathcal{D}).
