Sentence examples for order of formulas from inspiring English sources

Here, the left and right side of sequents are multiset of formulas: thus, the order of formulas in these contexts does not matter but their multiplicity does matter.

A sequent calculus that does not universally employ the exchange rule has sequents whose left and right contexts are lists: the order of formulas within context becomes an expressive element of the logic.

The accuracy order of quadrature formulas can be improved by utilizing the Richardson extrapolation method to take the terms away.

Let us obtain the third and fourth orders of approximation formulas for the solution of problem (1).

Applying the second order of the approximation formula D t k − τ 2 1 / 2 u k = d ∑ i = 0 k α k, i u i (2.3).

It is therefore desirable to increase the order of the Wilks' formula to be higher than the second-order to estimate the reliable safety margin of the design features.

DPLL algorithms are made more efficient by strategies such as term indexing (ordering of the formula variables in an advantageous way), chronological backtracking (undoing work to a previous branching point if the process leads to a conflicting clause), and conflict-driven learning (determining the information to keep and where to backtrack).

In this section, a review of formulas for first-order, second-order and third-order derivatives is presented.

This result extends the first and second order perturbation formulas of Dykema and Shripka, who generalised the Krein and Koplienko trace formulas to the weak trace class ideal.

A translation technique is presented which transforms a class of First Order Logic formulas, called Restricted formulas, into ground formulas.

On the other hand, one may also consider increasing the order of the finite differences formula and check whether it has a direct impact on the number of discretization points required to accurately represent the system dynamics.