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Wheeler and Hughey (2000) also discuss (L, L−1, … -level algorithms and an optimal checkpointing algorithm, but do not provide a quick computation for choosing optimal checkpoints, nor do they give formulae to compute the number of stage computations for general values of M and N. The choice of the stages to checkpoint can be framed as an optimization problem.
Apply Table 1 formulae to compute (delta_{ij}^{(x)}) and (w_{ij}^{(x)}), replacing n by (n_{ij}).
In this paper, we first propose general formulae to compute FAR and MAR by adequately reconsidering the internal relationship between the no-alarm state and the alarm state.
In particular, Housner (1957) first presented the simplified formulae to compute the dynamic pressures developed on accelerated liquid containers and successively (Housner 1963) studied the dynamic behavior of ground-supported elevated water tanks considering equivalent spring mass systems.
The new methods have been implemented into existing geometrical routines described in López and Hernández [15], which are further improved by using more efficient formulae to compute areas and volumes of general convex 2 and 3D polytopes.
(19 - 21 19 - 21k-trasslation formulae to compute the trajectories of the original state variables A, B, and C.
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Calera and Burgess use the same formula to compute the cost of cellaring — typically $3 per bottle per year is added to the original retail price.
FICO sells the algorithms to the three credit bureaus — Equifax, Experian and TransUnion — which each then use different formulas to compute a consumer's creditworthiness.
Existing explicit formulas to compute the weighting coefficients are given.
First, we used meta-analytical formulas to compute the averaged correlations between BU and WE.
Further, we put forward the below formula to compute the importance after combining Gaussian kernels.
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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