Sentence examples for type assumptions from inspiring English sources

The type system is defined in Fig. 8, as a set of rules for deriving judgements (Gamma,vdash,e : tau ), meaning that term (e) has type (tau ), in typing context (Gamma ) (which contains type assumptions for the free variables in (e)).

For the connections between our assumptions and Namah Roquejoffre type assumptions, we refer to Sect. 4.

The similar quasi-periodic type assumptions are common in the asymptotic fixed point theory, see, e.g., [2, 25, 28].

Stronger type assumptions can be made about the local data than about external data, hence our type system mixes static and dynamic typing.

Liu and Wu [7, 8] and Ahmad [9] obtained sufficient optimality conditions and duality for minimax fractional programming under generalized convex type assumptions.

The weak, strong and strict converse duality theorems are proved for these programs under the second-order generalized convexity type assumptions.

(Gamma,x tauu ) is the standard notation for extending typing context (Gamma ) with a new assumption, after deleting from (Gamma ) any type assumption for (x).

Through applying Timoshenko-type assumptions, the shear effects are also included in the model.

In many cases, particularly in applications to integral operators, approximation and fixed point results, modular-type conditions are much more natural as modular-type assumptions can be more easily verified than their metric or norm counterparts.

The usual Lipschitz-type assumptions are avoided, and the semigroup related to the linear part of the system is not claimed to be compact, which improves and generalizes some known results in the literature.

Notice that the hypotheses on (Deltaphi, dA) are a sort of finite-type assumption and are automatically verified when ϕ is a subharmonic non-harmonic polynomial.