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A former barman, he earned an annual salary of around £66,000 and was a regular seen driving around London in the Ferrari, which displayed the personalised registration plate POWER.
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Moreover, by passing to a subsequence we may assume that is regular (see Lemma 3.1).
Perhaps the most famous (folk) result states that shuffling of two regular languages is again regular; see e.g. [46].
Some authors said that ( X, G, ≼ ) verifies the sequential monotone property if ( X, G, ≼ ) is regular (see [20]).
Operators with hypoelliptic symbols have parametrices and hence are globally regular; see the "Appendix" for the precise results.
Furthermore, we assume the boundary of to be a -dimensional compact topological and oriented hypersurface, which moreover is Ahlfors-David regular (see [17]).
A two-dimensional matrix transformation is said to be regular (see [3, page 64]) if it maps every convergent sequence into a convergent sequence with the same limit.
Recently, many authors worked out results on multi-valued mappings defined on a cone metric space when the underlying cone is normal or regular (see [20 23]).
Non-vacuum small perturbations around a constant have shown that the solutions are classical and globally defined in time if the initial data are sufficiently regular; see [1 4].
A correspondence T : X → 2 Y is quasi-regular (see [16]) if: (1) it has open lower sections, that is, T − 1 ( y ) is open in X for each y ∈ Y ; (2) T ( x ) is non-empty and convex for each x ∈ X and (3) T ¯ ( x ) = cl T ( x ) for each x ∈ X. T is called regular (see [16]) if it is quasi-regular and it has an open graph.
It is easy to check that if is a quasimetric measure space and, then is lower Ahlfors regular (see also, e.g., [8] for the case when is a metric).
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CEO of Professional Science Editing for Scientists @ prosciediting.com