Sentence examples for previously mentioned result from inspiring English sources

In particular, this is the case when M is a module over an F-algebra, where F is a field with more than two elements; thus extending the previously mentioned result of Dickson and Fuller for indecomposable modules [5].

Nevertheless the previously mentioned result that concerns about individual health are predominantly harboured by females could be replicated, underscoring its robustness.

Intrusions also promote rumination about the past and one's self, and as previously mentioned, result in more abstract self-referent memories, rather than specific memories appropriate to the cue word [ 29, 30].

This supports the previously mentioned result found in the DAISY study and is consistent with recent findings on the modification of gluten intake in NOD mice, where early avoidance of gluten immediately after weaning delays diabetes onset and is associated with reduced insulin autoantibodies and insulitis [ 56].

The previously mentioned results further indicate that antagonists of group I mGlu receptors may play a role in the therapy of both anxiety and depression.

If attention is restricted to functions of positive integers then Church's thesis and Turing's thesis are equivalent, in view of the previously mentioned results by Church, Kleene and Turing.

Since, the previously mentioned results show that the LP4 (MMC) can provide an appropriate estimation of inter-story ductility demands in high-rise frames, in Fig. 12 the μ s resulted from LP4 is compared with values obtained from NTHA for different levels of target ductility.

In this paper, motivated and inspired by the previously mentioned results, we study the existence theorem for a generalized equilibrium problem with a bifunction defined on the dual space of a Banach space, and we also construct an iterative procedure generated by a hybrid method for solving the solution of a generalized equilibrium problem by using the sunny generalized nonexpansive retraction.

According to the previously mentioned results, the relative gains of compressive strengths of MMA-modified vinyl ester polymer concrete decreased with an increase of MMA contents and a decrease in curing temperatures, and curing temperatures had a more sensitive effect than MMA contents on strength developments.

In this paper, motivated and inspired by the previously mentioned results, we introduce an iterative scheme by the shrinking projection method for finding a common element of the set of solutions of generalized mixed equilibrium problems, the set of fixed points of a finite family of quasi-nonexpansive mappings and the set of solutions of variational inclusion problems in a real Hilbert space.

The previously mentioned results should be considered for the distribution of miRNA in different families.