Sentence examples for a 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.
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.
They further argue that algebraic incompetence has a direct impact on learning calculus.
One advantage of the intensional formulation is that it allows for a direct notation of proofs based on λ-calculus (Martin-Löf 1971 and Coquand 1986).
"He got an A in calculus.
The soundness of the encoding is derived from the soundness of a goal directed sequent calculus designed for eBBI.
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.
The next step towards Hirota direct method, is introducing the so-called Hirota D-operator which is a binary differential operator exhibiting a new calculus.
But baby vacations involve a complicated calculus.
