Sentence examples for efficient formulas from inspiring English sources

For computing the volume of fluid in an arbitrary polygonal or polyhedral fluid element, we also cite some of the most efficient formulas for polygon area and polyhedron volume computations.

At present, there are many well-known CG formulas (see [22 46]) and their applications (see, e.g., [47 50]), where one of the most efficient formulas is the PRP [34, 51] defined by beta_{k}^{mathrm{PRP}}=frac{g_{k+1}^{T}delta_{k}}{ Vert g_{k} Vert ^{2}}, (1.4) where (g_{k+1}=nabla f(x_{k+1})) is the gradient, (delta _{k}=g_{k+1}-g_{k}), and (Vert. Vert ) is the Euclidian norm.

Do create an innovative and cost efficient formula for running a concentrated, sustained, and proactive outbound marketing program that effectively creates a bridge between your core customer's needs and your product.

The Cauchy-Born rule is an efficient formula to schematically connect the deformation of atomic structures with a reciprocal continuum field.

Besides a discussion of the existence and uniqueness of such functions, we derive an efficient formula for the computation of power functions of rational orders on an arbitrary isolated time scale.

Future work is needed to investigate its applications in large scale power systems, thus the proposed method needs to be studied, which includes a more efficient formula for the calculation of semi-variances and threshold settings for incoming wind classification.

Proposition 2.3 is a very efficient formula for the computation of the sum ∑ k = 1 N − 1 σ i ∗ ( p m k ; p m ) σ j ∗ ( p n ( N − k ) ; p n ).

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.

"Early attention given to our children is the most efficient formula for eradicating poverty and for economic growth," Shakira said.

Fahrmeir et al. [19] derived numerically efficient formulae that allow for handling large data sets.

To understand which of the two strategies (i.e. two or three studies) is more efficient, formula (4) can be rearranged: (5) In (5), the power of each study is interpreted as a function of the TRP for various values of the prior probability π and number of replications k (note that α is assumed to be constant across the studies).