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Now define the constraint set.
We define the constraint set (2.5).
For each, we denote and define the constraint set (1.1).
To improve the computational efficiency, we define the constraint that relates the second threshold to the first threshold based on the dispersion of feature values of training data.
We define the constraint c (P (j,n),Pmax) to relax the problem, where c is built as follows:Define ξ = n ∈ N s.t.
For trajectory planning using virtual holonomic constraints, we define the constraint manifold associated with the constraint functions (47) as Γ = x ̂, x ̂ ̇ ∈ T Q ̂ : q i = Φ i η, ϕ o, θ N = Φ N p y, q ̇ i = η ̇ ∂ Φ i ∂η + ϕ ̇ o ∂ Φ i ∂ ϕ o, θ ̇ N = p ̇ y ∂ Φ N ∂ p y (48).
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In this optimization problem the acceptance criteria for the system performance define the constraints, and the expected utility from the system is considered as the objective function.
We propose four different objective functions that can be adopted to assume demand as elastic, considering the costs of all transportation systems (car, bus and rail) as well as the external costs, and we define the constraints of the problem.
Finally, we define the constraints between each pair of modules.
In this step, the architects define the constraints modeling the relations between modules.
In the Report screen where we use a.xib view I use a new "Auto Layout" feature Xcode has, and just define the constraints for the objects' relative positioning on the screen depending on the device it's working on.
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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