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I was surprised how much fun the New York Times is, but I found solving it impossible, with all those tiddly abbreviations unfamiliar to Brits.
The value of λ k, m ⋆ can be found solving (18).
The PO solution is found solving the PO-OP with the Matlab Global Optimization Toolbox.
The coefficients of the annihilating filter are found solving (12) which is equivalent to the following Toeplitz linear system of equations: (14).
The acoustic results are found solving the compressible Linearized Navier Stokes Equations (LNSEs) in the frequency domain, where the base flow is first obtained using RANS with a k ε turbulence model.
The hyperplanes are found solving the following optimization problem [ 30]: (1) min ω, b, ε 1 2 ω T ω + C ∑ i = 1 l ε i subject to y i (ω T φ (x i ) + b ≥ 1 − ε i ), ε i ≥ 0, where {(x i, y i )∣ x i ∈ R p, y i ∈ −1,1} are the training set of l instance-label pairs, x i is p-dimensional real vector, ω the normal vector of the hyperplane, and C > 0 the penalty parameter of the error term.
Similar(54)
The point (qin (A+B)^{-1}0cap U) which we find solves the variational inequality (langle I-f q, p-qranglangle I-f qrall p-qranglegeq00cap U).
The bad news is that those same companies have found that solving the technology problem of alternative fuels is taking more time and money than they expected.
The relay matrices are found by solving an optimization problem.
Thus the maximum margin solution is found by solving (5).
Each trajectory segment is found by solving Lambert problem.
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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