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Science

New mathematical method improves calculations for systems limited by their smallest input

Science via Phys.org
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A harmonic increment provides a new way to improve smooth approximations of the minimum function. In a recent paper, published in the Journal of Inequalities and Applications, Prof. Thomas A. Weber shows how a harmonic-increment transformation brings any smooth estimate that lies strictly below the minimum closer to it, while keeping the improved estimate below the minimum, so it remains a conservative estimate of a worst realization, or weakest link.

A harmonic increment provides a new way to improve smooth approximations of the minimum function. In a recent paper, published in the Journal of Inequalities and Applications, Prof. Thomas A. Weber shows how a harmonic-increment transformation brings any smooth estimate that lies strictly below the minimum closer to it, while keeping the improved estimate below the minimum, so it remains a conservative estimate of a worst realization, or weakest link.

Source: Phys.org

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