Sentence examples for as firstly formulated from inspiring English sources

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This paper is devoted to establish quantitative and qualitative estimates related to the notion of chaos as firstly formulated by M. Kac [41] in his study of mean-field limit for systems of N undistinguishable particles as N→∞.

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The problem is firstly formulated as a minimax problem, and then reformulated as a semidefinite programming (SDP) problem, which could be solved by many interior-point algorithms.

In this paper, the considered system is firstly formulated as a descriptor system representation by considering the sensor faults as auxiliary state variables.

In this section, the pilot assignment for a target cell is firstly formulated as an optimization problem.

In our study, this problem is firstly formulated as an integrated model that covers the situations of different group number and group size.

The problem of designing FOPID controller for AVR is firstly formulated as a multi-objective optimization problem with three objective functions including minimization of integral of absolute error (IAE), absolute steady-state error, and settling time.

The problem is firstly formulated as a nonlinear constrained optimization problem, which is then converted to a series of projection gradient optimization problems and step searching problems, which are either convex or linear.

Network design was firstly formulated by Dantzig [14] as a fixed charge transshipment problem.

The problem is firstly formulated in a goal programming form, which is expressed as the minimization of the violations between the production rates and the installed capacities under access, metal quantity and the required net present value (NPV) constraints.

Water-soluble aminated MNCs (A-MNCs) were firstly formulated via the nano-emulsion method.

Then, two deterministic bi-level programming models are firstly formulated to maximize the network accessible flow.

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