Since the inverse problem is still ill-posed with respect to small errors in the data and possibly additional ill-conditioning introduced by the spectral feature of the MFS approximation, the least-squares functional which is minimized needs to be augmented with regularizing penalty terms on the MFS coefficients and on the radial function for a stable estimation of these couple of unknowns.
Cartoonist Art Spiegelman comments that Ward had mastered a fluid rhythm of pacing with his third book, achieveing a flow that minimized the need for the reader to spend time deciphering images before moving to the next page, while encouraging multiple readings and interpretations.
The ability to follow existing rights of way such as existing roadways results in minimized land intake which reduces the need for divisive property expropriation as well as reducing the need to destroy existing valuable or culturally sensitive buildings.
The popularity of candidates who have little need for the committee's support coupled with RNC's difficulty in managing the debates leaves the committee with a much more minimized role than intended.
The added benefit of this approach is minimized efforts needed to monitor and characterize nanoparticles during the exposure period.
Thereby a decreased effort is needed for method performance verification, and post-approval changes as well as minimized risk of method related out-of-specification results.
Each system was first minimized for 1000 cycles and was continued for another 1.75 ns equilibration with a time step of 2 fs at 298K.
Several of the academic luminaries at the conference in Chicago challenged or minimized claims for theory's relevance.
Continuous red line is for the Hamiltonian minimized both for d and l.
The advantages of the LASA include brevity and minimized burden for both the patient and the clinical or research system.
For comparison with experiment, the chemical shift of each hydrogen was averaged among the 20 minimized structures for each construct.
