Sentence examples for naturally defined from inspiring English sources

While our approach is pragmatic and heuristic, we are aware that a more theoretically grounded approach to partitioning multi-link networks would certainly be useful in the study of networks where links of different nature can be naturally defined, as in the present case.

The norm of the pe currents (=∣J∣) is naturally defined with a similar formula.

A phase θ ∈ [ 0, Δ ) is naturally defined from θ ( u ( t ) ) = t mod Δ.

In particular, we give some references where various contractions of Rus type are naturally defined.

These patterns are naturally defined by the interface between low and high states of neural activity.

A particularly attractive property of the IPWRA method is that it is naturally defined in the framework of multivalued treatments.

Hence, we naturally define a new configuration of HOG composed of concentric rectangular cells as shown in Figure 6.a.

Difference balanced functions from F⁎qn to Fq are closely related to combinatorial designs and naturally define p-ary sequences with the ideal two-level autocorrelation.

Appropriate finite subsets of these relators naturally define a sequence (({{mathfrak{G }_n})_{n ge 0}}) of four-generated finitely presented groups converging to (mathfrak{G }) (Definition 5.2).

This naturally defines security design and analysis paradigms similar to those of the threshold cryptography area, where it is typically assumed that an adversary can corrupt up to a limited amount of entities or resources.

This allows one to naturally define an action of the circle group (S^{1}) on (P^{1}(mathbb {R})): if (mathbf{R}_{phi}) is the rotation of angle (phiin S^{1}) around the origin, then (mathbf{R}_{phi} varphi)= varphi+h phi )/2) where h is a homomorphism of (S^{1}).