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Finally a direct formula for the Dominguez-Benavides coefficient of the spaces (l_{Phi,p}) is given in terms of the Orlicz function generating these spaces.
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Unlike the distribution for the support, the minimum confidence does not have a direct formula like (1); however, numerical results are always possible and will be illustrated below.
This study presents new direct formulas for normal depth in curved irrigation canals by applying for Marquardt method.
High-resolution mass spectrometry offers great potential for untargeted metabolomics, as high mass accuracy often (but not always) allows direct formula assignment for each detected mass (m/ z).
Fourier transform ICR (FT-ICR) mass spectrometers have sufficient mass resolution and accuracy to enable use of isotopic fine structure for direct formula assignment.
Based on the properties of these diluents, a mathematical equation was established to identify the best DC diluent and the optimum amount to be used when defining a suitable formula for direct compression, depending on the SeDeM properties of the active pharmaceutical ingredient (API) to be used.
One can still use direct formulas, as an approximation, to compute confidence interval as follows.
This paper presents a simplification of the SMMT and proposes a unified rational formula for the direct calculation of the initial torsional stiffness of solid and hollow RC members.
As a direct application of the formula for the upper bound value of the MIR, we show that an active network can operate with a large amount of MIR and KS-entropy and at the same time it is robustly resistant to alterations in the coupling strengths, if the eigenvalues of the Laplacian matrix satisfy some specified conditions (Sec. Results).
The debate over operating subsidies, by contrast, has been confined to a small group of public housing officials, beginning when Congress directed HUD in 1998 to determine a new formula for operating subsidies.
By direct calculation, we have an explicit formula for the matrix E, E = z I - 2 z ( x - y ) ⊗ [ z ( x - y ) + D Φ ] 1 + z 2 | x - y | 2, and its determinant det E = - z n z 2 | x - y | 2 + 2 z ( x - y ) · D Φ - 1 1 + z 2 | x - y | 2 > 0, when (4.9) holds.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com