Sentence examples for structures of the formulated from inspiring English sources

Specifically, the fundamental mathematical structures of the formulated nonlinear problem and solution set are provided and accordingly, an efficient algorithm, called polynomial-time approximation algorithm (PTAA), is proposed to yield the fast convergence to a near optimal solution by employing the alternating direction method of multipliers (ADMM).

The structure of the formulated diets is more sensitive to DDGS price as compared to SBM and corn prices.

Due to the nonlinear and combinatorial structure of the formulated channel assignment problem, it would be impossible to explicitly determine the optimal closed form solution for problem (26).

To sum up, then, statements about I-languages are 'statements about the structures of the brain formulated at a certain level of abstraction from mechanisms'.

The author has developed the clinical reasoning sessions in Infectious Diseases and has analysed the structure of the problems formulated by the medical students.

The obtained spectral data, however, compatible only with the structures of (31a d) and formulated as: N- 3-aryl-5-substituted-1,3,4-thiadiazol-2 3H -ylidene -4- 5-methyl-1- p-tolyl -1H-1,2,3-triazol-4-yl thiazol-2-amine (31a–d) (Scheme 7).

The buckling governing equations and the buckling critical condition of the structures are formulated under the framework of the classical plate theory.

Criteria of reliability for an assessment of design solutions of structures are formulated, the general approaches to their determination are given on the basis of a probabilistic form of final element method and engineering method of reliability indicators determination.

By means of the generalized Gaussian integral to the scaling function transform, an expression of identification of deflection configuration of the structures is explicitly formulated by the electric charge/current signals measured from the piezoelectric sensors.

The polymeric structures of the polycarboxylates have been formulated to meet various performance requirements such as water-reducing and consistency-maintaining.

Fares et al. recently confirmed that the cyclization carried out at N-atom, adjoining to the C=O group based on single-crystal X-ray analysis [35]; so, the structures of the products (7a g) being formulated as linear isomers (A) rather than isomeric angular isomers (B) as represented in Fig. 1.