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Let m ( u ) be one minimal essential set of F ( u ).
Since m ( w ) is the minimal essential set, neither c 1 ( w ) nor c 2 ( w ) is essential.
Proof ( a ) Since F is upper semicontinuous, following the idea of Lemma 2.2 in [5], we can easily obtain that there exists one minimal essential set of F ( u ) for each u ∈ H. Now, for each minimal essential set of F ( u ), as Yang and Yu did in [8], we prove that each minimal essential set of F ( u ) is connected.
Since m ( w ) is a minimal essential set of S ( w ), neither c 1 ( w ) nor c 2 ( w ) is essential.
Since m ( q ) is a minimal essential set of Λ ( q ), neither c 1 ( q ) nor c 2 ( q ) is essential.
Since m ( q ) is a minimal essential set of F ( q ), neither c 1 ( q ) nor c 2 ( q ) is essential.
Similar(41)
From the view point of stability, as the analogs of singletons, minimal essential sets seem to be good choices [21].
Participating centres are required to have local ethics committee approval; patients must provide informed written consent prior to entry into the Minimal Essential Data Set [ 9].
Furthermore, the identification and characterization of core essential genes, in other words the minimal essential genes set, in H. pylori species would be an interesting strategy both theoretically and experimentally to understand the basic requirements for cellular life.
For the purpose of this study, the Minimal Essential Data Set online electronic data-entry system - which prospectively follows patients on yearly visits - was amended by a separate data-entry page with items specific to the ED study.
In addition to documenting a minimal essential data set, acquisition and storage of blood samples, and skin biopsies from patients with SSc after SCT are strongly encouraged in expert centres (Table 4).
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