Sentence examples for formulas for computation from inspiring English sources

This new concept can be efficiently used to compute the signature of a modular system with an arbitrary organizing structure and to provide explicit formulas for computation.

In this paper we derive a set of novel formulas for computation of the Green's function and the coupled electro-elastic fields in a 2D piezoelectric strip with free boundaries and containing a distribution of straight line defects.

This last statement affects the formulas for computation of the numbers of parsimonious scenarios in Assertion 3. Since ei + g = en, the total number of parsimonious scenarios at the tree root is now always equal to sn, because, even when ei + g = en, the set of i-parsimonious scenarios is a subset of the set of n-parsimonious scenarios.

Necessary and sufficient conditions for a second-order operator to be self-adjoint are obtained and a reduction formula for computations of norms of eigenfunctions of these operators is also given, which avoids the customary case-by-case analysis found, e.g., in [6, 8, 9].

We apply piecewise constant approximation method to derive the formulas for computing state transient probabilities and then derive the computation formulas for the metrics of interest.

His mathematical writings covered a wide range of subjects, including the theory of probabilities, quadratic forms, orthogonal functions, the theory of integrals, gearings, the construction of geographic maps, and formulas for the computation of volumes.

We develop formulas for the computation of a variety of indices, which reflect the statistical properties of the quality control mechanism of a production process, which is conducted through several one-sided, Bayesian ¯x control charts.

In this paper we test several different formulas for the computation of the exact vorticity and angular velocity in certain radially symmetric solutions of the two-dimensional Navier Stokes equation in vorticity-stream function form.

Table 1 lists the definitions and formulas for the computation of these quantities (note that in our notation a tilde on top of a symbol indicates "partial").

Breslow and Day [ 1] and Smith and Day [ 2] provide asymptotic formulas for the computation of case-control sample sizes required for odds ratios, unadjusted or adjusted for a confounder [ 1] and for stratified matched designs [ 2].

Table 1 Formulae adopted for computation of morphometric parameters S. no.