Sentence examples for construction of derivations from inspiring English sources

As another application of the construction of derivations, we show that ifAis aC*-algebra of the above type andα∈HInn(A) has the Rohlin property and comes fromϕ∈Hom K1(A), R) with dense range as in Kishimoto and Kumjian (preprint), then the crossed productA×αZis again of the same type; in particularA×αZis an AT algebra.

We use Lie algebra of derivations to construct a tangent space along trajectories of vector fields, induced by CRNs, such that their dynamical structure is preserved via the construction of a diffeomorphic map Φ.

Complicating matters is empirical research suggesting that our preferences are subject to such powerful contextual influences that it is better to talk about the construction of coherent preferences than about their derivation from underlying desires (see, e.g., the papers in Lichtenstein and Slovic 2006).

That is, the devised data-derivation method enables the construction of a single FLC to accommodate a wide range of scenarios.

Martin-Löf distinguishes carefully between proofs and derivations: a proof object is a witness to the fact that some proposition has been proved; whereas a derivation is the record of the construction of a proof object.

Thus, the current study was restricted to construction of 1D basin model and uses the results for derivation of geomechanical properties.

Here we follow Berezin's construction of the group structure, in particular his construction of the derivations associated to (mathfrak {g}) which are defined by left and right 'multiplication'multiplication

2010, doi 10.1007/s12190-010-0404-9) to establish the needed relations for the derivations of the sampling theorems including the construction of Green's matrix as well as the eigen-vector-function expansion theorem.

The log derivation of the percent survival was utilized for construction of graphs to predict the half-life of grafts and/or patients.

Construction of criteria hierarchy, and the alternatives, Construction of criteria comparison pairwise matrix, Derivation of the weights of criteria from comparison pairwise matrix, and.

Perhaps, construction of marginal models in the sense of generalized estimating equations [ 21] can be considered for derivation of power functions assumption even if this approach is beyond the scope of the present study.