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We show that, under this model, the original coloring problem gives rise to a new coloring version (called Probabilistic Min Coloring) where the objective becomes to determine a partition of V into independent sets S1,S2,…,Sk, that minimizes the quantity ∑i= 1kf(Si), where, for any independent set Si,i= 1,…,k, f(Si)= 1-∏vj∈Si 1-pj).
The test sample is a stack of layers, and we can look for the set of d x that minimizes the quantity Δ2 defined as follows: Δ 2 = ∑ a x ∑ a x − I x ∑ I x 2, (2).
The optimization problem can now be defined as finding the vector x that minimizes the quantity ||Σ x−b||2+λ2 ||x||2, where b is a column vector, ||x|| indicates the norm of x, and λ is a positively defined regularization parameter.
In this way, the FBSF minimizes the quantity of fentanyl that is swallowed in the saliva and that is consequently lost during first-pass metabolism.[ 56] The size of each FBSF is directly proportional to the strength of the administered fentanyl dose.
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Moreover, it has the potential to facilitate the experimental workflow as it enables interactive intervention, minimizes the quantities of the used radiotracer and reduces systematic errors caused by non-equilibrium conditions.
While larger paper tests (like those for pregnancy) are common, shrinking the paper and minimizing the quantity of the required chemical reagents reduces manufacturing costs.
By optimizing the distribution of the reinforcement, the aim is to minimize the quantity of material, thereby reducing costs.
When designing the layout of industrial workshop, it is necessary to minimize the quantity of equipment indoor or put them near the wall, away from leakage sources.
To minimize the quantity of oil, the heating time and spatter, I usually use a standard six-quart saucepan and add an inch or two of oil, leaving at least three or four inches of pan wall to guard against spattering.
Therefore, energy management is a term that collects all the systematic procedures to control and minimize the quantity and the cost of energy used to provide a certain application with its requirements.
It also means the device will only record selectively — capturing notable events, not everything, or even every motion — thereby minimizing the quantity of footage generated.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com