Sentence examples for compact definition from inspiring English sources

(b) Although (0.6) is a compact definition, it hides the rich structure of Nichols algebras.

These problems can be alleviated by using lamination parameters as design variables, which provide a compact definition of laminate stiffness.

Though it is difficult to incorporate every service providing emergency care into one compact definition, we have created primary and secondary criteria that describe all the ED facilities that we include in NEDI studies.

We show that despite its ontological parsimony, the resulting language is comparable in practical expressiveness with conventional full Prolog, by allowing compact definitions for negation, if-then-else, all solution predicates, I/O and reflective meta-interpreters.

The basic concept behind this flow is to start with a compact testcase definition that is subsequently expanded into stimuli that are compatible with all design representations.

Finally, the extracted logons offer an important unit of analysis in their own right, in that they are maximally compact by definition.

Further, from μ ( P n ) ≤ λ μ ( P n − 1 ) ≤ ⋯ ≤ λ n μ ( P 0 ) for n ∈ N, we obtain that lim n → ∞ μ ( P n ) = 0. Setting P : = ⋂ n = 0 ∞ P n, we see that P is nonempty and weakly compact by Definition 2.4.

While methods for compact model definition have been developed [ 12], the computational demand on simulating large complex networks is daunting.

The state established by such a compact is, by definition, unitary and omnipotent.

When X and Y are Banach spaces, the metrical compactness coincides with the usual definition of compact operators between Banach spaces.

Since u i ∈ F ( x i ) and F is compact-valued, the definition of the Hausdorff metric implies the existence of v i ∈ F ( P C ( x i − γ k i − 1 u i ) ) such that σ γ k i − 1 ∥ r γ k i − 1 ( x i, u i ) ∥ < ∥ u i − v i ∥ ≤ H ( F ( x i ), F ( P C ( x i − γ k i − 1 u i ) ) ) ≤ L ∥ r γ k i − 1 ( x i, u i ) ∥. Therefore η i > L − 1 γ σ ≥ η.