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As a result the maximization of the minimum eigenvalue function can be formulated in standard optimal control solvers through the addition of nonlinear constraints.
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This can be formulated in such a way that we have a standard least squares problem in each step.
Mixed fertilizers can be formulated in hundreds of ways.
Transition-state theory can also be formulated in thermodynamic terms.
This may in turn be formulated in a dual form.
Ordinary differential equations (ODEs) for the EGFR and GPCR models depicted in Fig. 1 were formulated in the standard way assuming mass action kinetics for the various reaction steps.
First, the problem is formulated in a general setting as a standard least squares problem.
Using a combination of Riccati differential equation approach, Lyapunov Krasovskii functional, inequality techniques, some sufficient conditions for exponentially stability of the error system are formulated in form of a solution to the standard Riccati differential equation.
The proposed contact model is formulated in the nonlinear continuum mechanics framework and implemented using the standard finite element method.
Second, the conditions obtained in this paper are formulated in terms of linear matrix inequalities (LMIs), which can be efficiently solved via standard numerical software.
The model is formulated in the maximum entropy framework, which expresses statistical constraints on the frequencies of various type of dependencies, as well the standard N-gram statistics.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com