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The regional pole placement is achieved by defining a linear matrix inequalities (LMI) region.
By defining a linear operator acting on the coefficient matrix of the filter, the optimality condition of the design problem is expressed as a linear operator equation.
The presence of a linear trend was evaluated by defining a linear contrast in each of the linear and logistic regression models.
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Additionally, non-linear behavior arising due to the vacuum formation in the top chamber is studied by defining a bi-linear asymmetric stiffness curve.
The proposed modified structural stress improves both of these limitations by defining a multi-linear stress distribution through the plate thickness beneath the weld toe.
The guidance algorithm has its roots in the generalized ZEM/ZEV feedback guidance and its mathematical equations are naturally derived by defining a non-linear sliding surface as a function of the terms Zero-Effort-Miss and Zero-Effort-Velocity.
The path-following problem is addressed by defining a suitable non-linear path dependent error space to express the vehicle's nonlinear dynamics.
We present an embedding of bounded model checking into propositional logic with linear arithmetic, which overcomes the state explosion problem to deal with large systems by defining a product that is linear in the size of the system.
As shown e.g., in [16], the measurement model in Equations 1 and 2 can be recast as a sparse linear problem by defining an overcomplete dictionary of steering vectors evaluated over a set of possible spatial frequencies Ω = {ν1, …, ν G }.
For, define a linear operator by (2.34).
Define a linear operator by (2.7).
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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