Sentence examples for direct calculus from inspiring English sources

For a direct calculus this means that if Γ ⊢ α then Γ ⊨ α.

Completeness in a direct calculus states that if Γ ⊨ α then Γ ⊢ α.

The soundness of the encoding is derived from the soundness of a goal directed sequent calculus designed for eBBI.

The advocated approach is the direct method of calculus of variations based on inverse dynamics in the virtual domain.

Then, by the direct method in calculus of variations, I is bounded from below and attains its infimum at some x ∈ X, which, by virtue of ([20], Proposition 1.1) and Proposition 2.1, is a solution of problem (1.1), (1.2).

Anyway, it is important to note that an easy use of the Direct Method of Calculus of Variations (i.e. taking a minimizing sequence, saying that it is compact in some topology—here it is the weak convergence of probability measures finding a limit, and proving semicontinuity, or continuity, of the functional we minimize, so that the limit is a minimizer) proves that a minimum does exist.

Calculus wasn't measured in this study as it isn't considered the primary aetiological factor in periodontitis [ 16] so a direct comparison of calculus build up and disease progression cannot be made.

His most celebrated broadsides were directed at the calculus, but in fact his conflict with the mathematicians went deeper.

They further argue that algebraic incompetence has a direct impact on learning calculus.

We notice that the existence of solutions for fractional finite difference equations is a hot topic of the fractional calculus with direct implications in modeling of some real world phenomena which have only discrete behaviors.

Hence, by applying the direct method in the calculus of variations, the minimum problem (2.23) admits a unique solution (bar{w}) which is the optimal control of problem (2.24) with respect to the cost functional (3.18).