Sentence examples for integrate this relation from inspiring English sources
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} (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}).
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).
The key issue when dealing with multiple robots is to find the link between them, and to integrate these relations to maintain the overall geometric consistency; the events that introduce these links on the global graph are described in detail.
Davidson integrates this response within a general account of causation and explanation, in which causation is an extensional relation that holds between coarse events, while explanation is an intensional relation that holds between the coarse events under a description.
We then integrate the analytic relation between entropy and generation time with a series of allometric relations between life-history variables and body size to derive a new class of macroscopic characterizations of entropy.
Let be a nontrivial nonnegative periodic solution of (1.1 - 1.2 1.1 - 1.2y the (1.1) by and integrate the resulting relation over, we have (4.2). where.
For (beta>0), we multiply series (19) by (H^{beta-2}_{0}(theta )) and integrate the obtained relation over the closed interval ([0,pi ]).
A constitutive model adapted for cohesive-frictional materials from a homogenization technique which allowed us to integrate constitutive relations at the grain level has been developed to obtain constitutive equations for the equivalent continuous granular medium.
We integrate contextual relations between land cover and land use in the classification process by using contextual features describing the complex dependencies of all nodes in a higher order clique.
