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Note that in (5), we compute f to minimize the mean square error with the first term, while with the last one we force the solution f to have minimum norm to avoid overfitting.
It is well known that in order to force the solution of a minimization problem similar to the one in Equation 8 to be the 'sparsest' solution, the function to be minimized by definition of sparsity is the ℓ0 norm and not the ℓ1 norm.
With a small adjustment, our procedure can force the solution to preserve the metabolism of one cell while inhibiting an objective reaction of another (see Additional file 1 for a detailed formulation).
Fifty psi of positive pressure from a PV830 pneumatic Picopump (World Precision Instruments, Sarasota, Florida, USA) was used to force the solution to the tip of the ion-selective barrel and if necessary, the tip of the reference barrel.
If we wish to force the solution to pass through particular locations, this can be expressed in the constraint A β = c, where the columns of the matrix A evaluate the basis functions at the constraint locations and the vector c contains the constrained response values.
Is military force the solution?
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Long-term measures must force the solutions at regional level: reduction of noise at source and certification; phase-out of non-certificated airplanes; noise charges; and land-use planning and management.
Furthermore, this penalty term forces the solution to stay above the payoff function at expiry.
The singular behavior of |x|α for large α>0 forces the solution to blow up.
It may also be used to generate a control policy that forces the solution into a desired region of space.
This computational setup forces the solution segments to move along (W^{s}(c^{s}_{varepsilon })) before converging to the slow trajectory (c^{s}_{varepsilon }) (in the direction of increasing z).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com