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Since there exists an optimal control for maximizing the functional (29) subject to (28), we use Pontryagin's maximum principle to derive the necessary conditions for this optimal control.
The model has two objectives: maximizing the functional performance of the CBSS and maximizing the cohesion and minimizing the coupling of software modules.
Under the hypotheses of Theorem 1, there exists a unique diffeomorphism (T = Y cdot,Du), in [C^2 overline{Omega })]^n) maximizing the functional (1.8), where (u) is an elliptic solution of the second boundary value problem (1.3), (1.5).
Since there exists an optimal control for maximizing the functional (10) subject to equations (6 - 9), we use Pontryagin's Maximum Principle to derive the necessary conditions for this optimal control.
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The control function u must be chosen in order to maximize the functional J, defined by: (7) J (u ) = ψ (x i (T ) ) + ∫ 0 T L (x (t ), u (t ) ) d t Where ψ is the cost associated with the terminal condition of the system and L the Lagrangian.
A major aim of the research conducted is to maximize the functional attributes of the second layer, enhancing both structural performance and watertightness.
To maximize the functional expression of Rubisco, two strong promoters (T7 and trc) and three E. coli hosts (BL21 DE3), DH5α, and HB101) were chosen.
However, the current technology involved in these systems can maximize the functional benefits of plants to buildings performance and make part of a sustainable strategy of urban rehabilitation and buildings retrofitting.
To find the best constant (C lambda, alpha,beta, n)) in the above inequality, one can maximize the functional J f, g)= int_{mathbb{R}^{n}} int_{mathbb{R}^{n}}|x|^{-alpha} f(x) g y)|x-y|^{-lambda} |y|^{-beta},dx,dy, under the constraints |f|_{L^{r}(mathbb{R}^{n})}=|g|_{L^{s}(mathbb{R}^{n})}=1.
Consequently, developing new molecules that maximize the functional expression of crucial signaling orchestrator(s) of targeted commitments within a population of precursor cells may offer significant advantages in tissue repair and clinical therapies.
Rather than merge these sets we kept them all in order to maximize the functional annotation conveyed by the gene set names.
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