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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 our study, this problem is firstly formulated as an integrated model that covers the situations of different group number and group size.
With this aim, an analytical description of the cutting process is firstly formulated: Formate® and generated cut are simulated, complex blade shapes, including protuberance (Toprem®), are studied.
In this paper, the considered system is firstly formulated as a descriptor system representation by considering the sensor faults as auxiliary state variables.
By carefully exploiting the dynamical properties of the original system, combining with the switching functions, a descriptor system is firstly formulated to describe the holonomic dynamics of the sliding mode.
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.
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Then, two deterministic bi-level programming models are firstly formulated to maximize the network accessible flow.
Network design was firstly formulated by Dantzig [14] as a fixed charge transshipment problem.
Water-soluble aminated MNCs (A-MNCs) were firstly formulated via the nano-emulsion method.
The 3D micropolar fluid model was firstly formulated by Eringen [1] and was used to describe the fluids consisting of randomly oriented particles suspended in a viscous medium.
Among these important developments is the Input-to-State Stability (ISS) property, which was firstly formulated by Sontag [1] and has found wide use in engineering by incorporating the idea of nonlinear small-gain theorem [2, 3].
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com