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To approximate the original concave function, we propose a logarithmic function that is exact and has bounded gradients at zero values in contrast to other approximation schemes.
By using recurrence relations we derive weighted B-splines and give a three-point local approximation formula that is exact for first-degree polynomials.
The solution is obtained by maximizing a lower bound analysis and yields a yield hyper-surface that is exact within the limitations of the formulation.
In [9], a numerical method for approximating the splitting direction that is exact for second-order polynomial measurements is also presented.
The approach proposed here differs from those recently considered in the literature, in that it is based on a decomposition that is exact when considered analytically, so the only degradation in computational performance is due to discretization and roundoff errors.
The eigenvalue problem governing the harmonic propagation in the micropolar non-centrosymmetric continuum results in general characterized by a hermitian full matrix that is exact up to the second order in the wave vector.
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For more casual entertaining, the Metropolitan Museum Shops sell tin plates that are exact reproductions of blue and white English Staffordshire.
This tension was further cultivated in a recent series of Koons sculptures that are exact but enlarged replicas of twisted balloon animals.
The study created stem cells that were exact genetic copies of 11 patients.
The accuracy of four commonly used methods is studied and the measurement strategies that are exact are identified.
Precise information provides attributes that are exact or enough discrimination.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com