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Derivative corrections for quadrature formulas
Advances in Computational Mathematics, 1996This paper is concerned with the construction of quadrature rules that include approximations to derivative correction terms for standard formulas. The correction terms require only the use of the integrand values from the original formula. This is a standard method for improving simple quadrature formulas.
William F. Ford, Yuesheng Xu, Yunhe Zhao
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Formula-Derived Prostate Volume Determination
European Urology, 1996Despite disadvantages such as time-consuming and tedious to the user, planimetric volumetry is considered to be the most accurate method for prostate volume determination. This study investigates the possibilities of formula-derived volume determination and reveals the best alternative to planimetric volumetry.The prostate volume is calculated using ...
Aarnink, R.G. +3 more
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A generalization of Halphén’s formula for derivatives
Aequationes mathematicae, 2016Halphén's formula published in 1880 shows a compact expression for the derivative \[ \left ( f \left ( \frac 1x \right) g(x) \right )^{(n)}. \] This paper provides a generalization, when a formula for \[ \left ( \frac d{dz}\right )^{(n)} \frac{f(z^{-1})g(z)h^{n+1}(z)}{h(z)+z(1-zx^{-1})h'(z)}\bigg |_{z=x} \] is proved.
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Formula Simplifications as DRAT Derivations
2014Many real world problems are solved with satisfiability testing (SAT). However, SAT solvers have documented bugs and therefore the answer that a formula is unsatisfiable can be incorrect. Certifying algorithms are an attractive approach to increase the reliability of SAT solvers.
Norbert Manthey, Tobias Philipp
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1992
Abstract Ambiguities in the mission of the depots nourished a corresponding set of uncertainties concerning their management and control. Utility and economy at first seemed to dictate a radically simple arrangement. A concierge would be responsible for all the day-to-day operations of the depot, with the assistance of inmates who would ...
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Abstract Ambiguities in the mission of the depots nourished a corresponding set of uncertainties concerning their management and control. Utility and economy at first seemed to dictate a radically simple arrangement. A concierge would be responsible for all the day-to-day operations of the depot, with the assistance of inmates who would ...
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Derivation of the Price Formula
2016So far it has been assumed that the supplier and buyer cooperate to develop the price formula. The supplier will then submit a quotation for all the price elements of the price formula. This procedure remains the main principle of the K-Method. This procedure is important and is the only way to apply the K-Method in a sustainable way so that the ...
Daniel Kossmann, Donald Kossmann
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Derivation of the Escape Formula
2013We will consider a variety of mutations in the HIV genome, denoted in formulas by the index “m”.
W. David Wick, Otto O. Yang
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