Sentence examples for more general formula from inspiring English sources

We developed a more general formula for the population distribution of solid particles in processes involving recirculations, and compared it with the widely used equation in the calculation of several process metrics.

The Campbell-Baker-Hausdorff-Dynkin formula is a special case of a simpler and more general formula for the solution of nonautonomous systems of first order ordinary differential equations in terms of autonomous systems.

In algebraic topology there is a more general formula called the Euler-Poincaré formula, which has terms corresponding to the number of components in each dimension and also terms (called Betti numbers) derived from the homology groups that depend only on the topology of the figure.

We develop a new and more general formula for the construction of two dimensional nodal Riemann solver for a cell-centered Lagrangian scheme developed by Maire and his co-workers which allows us to use general one dimensional Riemann solvers that have intermediate velocity and pressure in the construction.

For the sake of completeness, we also give the more general formula for any value of γ0: p P ( x ) = 2 M P ( 1 − sin γ 0 ) E 1 x M P − E 1 2 x M P ( 1 + sin γ 0 ) (13).

It is suggested that the more general formula introduced here is reported as δ G, to avoid the implication that items are dichotomously coded.

From the viewpoint of the more general PBC formula (Formula 3), Sørensen distances are a special case that is based on a distance matrix that contains information only on identity (zero distances) and non-identity (positive constant k as distances) but no further information on phylogenetic relationships.

Here we extend this existing picture using a refined approximation, provide a more general analytical formula, and show that in principle up to N(N + 1) / 2 segments can show up experimentally.

The data requirements are no greater than those for a more general proxy formula.

Note that Theorem 2.4.1 was used in [10] to obtain considerably more general trace formulae.

Secondly, much more general trace formulae for perturbations of class ({varvec{S}}_m) we obtained in [10].