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The recipient can then use a similar formula in conjunction with a secret key to decode the message.
The relationship between V [SEV t ] and V i was calculated using the following formula, in conjunction with the smoothing spline ANOVA method (Gu 2002).
By the functional change of variables formula, in conjunction with the fact that F solves (FTVP) (on continuous paths), we obtain (overline {mathbb {P}}_{t,mathbf {Y}_{t}} -a.s. for t∈[0,T) that F_{Twedgetau} -athbf{X}_{Twedgetau})=F_{t}(mathbf{Y}_{t})+int_{t}^{Twedgetau}nabla_{mathbf{x}}F_{s}(mathbf{X}_{s}),mathrm{d} mathbf{X}(s).s(5.9).
A novel approach is presented, based on the integral form of the vorticity formulation, in which the vorticity transport equation is solved by using the cell-centred finite-volume method, while the velocities needed at the centre of each control volume are calculated by a modified Biot Savart formula in conjunction with a fast summation algorithm.
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The general idea is to be able to express a problem's formulation as a set of clauses or, equivalently, as a formula in conjunctive normal form (CNF), that is, as a conjunction of clauses.
The proposed formulae derive this information in conjunction with the state and first-order sensitivity evaluation.
The asymptotic formula for ζ(1 - 2n) (see [[11], pp. 26-28]) can be used in conjunction with Stirlings formula to give the coefficient of ν (for small ν) (3.20).
For safety reason in design there should be a safety factor used in conjunction with the formula.
A family of implicit one-step algorithms is generated by specifying the polynomial approximation in conjunction with the quadrature formula used for the evaluation of time integrals.
We do this in conjunction with using covariance formulas which are not asymptotic in the model order, which is rather new in the domain of optimal input design.
In the other five formulae, demographic predictors of need are considered in conjunction with measures of disease status (Table 3).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com