Your English writing platform
Discover LudwigSuggestions(2)
Exact(2)
Because the functional (17) only contains an unknown variable ϕ, we can simply minimize F with respect to ϕ.
The final F-NMF update rules to minimize f with all these considerations are derived from (6), (9), (11), (13), (15), and (17).
Similar(57)
The VNE-ABC algorithm attempts to find the best solution (i.e., the solution with the lowest fitness) for each request to minimize f(X).
But minimizing the last expression with respect to f is equivalent to minimizing f ↦ γ ˜ ( f ) with γ ˜ ( f ) = − 2 ∑ m = 1 M ∫ T 1 T 2 ψ t ( m ) ( f ) λ ( m ) ( t ) d t + ∑ m = 1 M ∫ T 1 T 2 [ ψ t ( m ) ( f ) ] 2 d t.
Consider the convex minimization problem (CMP) of minimizing f over the constraint set C, minimize { f ( x ) : x ∈ C }. (1.4).
Now, we have minimized F As before etching to less than F As<1×10−8 Torr during a 1-h growth interruption with the As cell switched off.
Define the optimization problem as: Minimize f (X).
Based on the analysis in above sections, we reformulate the blind reconstruction problem with ℓ p -norm (0 < p < 1) minimization approach as minimize r f | | r f | | p s.t.
More specifically, suppose that S is the finite set of all possible solutions and f is a real valued function (i.e., the OF), defined on members of S. The problem is to find a solution s ∈ S that minimizes f over S. The algorithm starts with an initial solution.
( SP − ⪯ ) ⪯-minimize F ( x ), subject to x ∈ X, with some given preorder ⪯ and a set-valued objective map F : X ⇉ Y, we can see the following.
In this case the problem is to choose a configuration x0 that minimizes f(x) or makes it ε = minimal that is, for any number ε > 0, f(x0) f(x) + ε, for all configurations x, with the specified properties.
Write better and faster with AI suggestions while staying true to your unique style.
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