The range of T contains the range of S. (b).
Suppose that and are weakly compatible, the range of contains the range of and or is complete.
Suppose that the mappings are such that the range of contains the range of, and or is a complete subspace of.
Since the range of g contains the range of f, there exists a point x 1 in X such that f ( x 0 ) = g ( x 1 ).
If the range of g contains the range of f and g ( X ) or f ( X ) is a complete subspace of X, then f and g have a unique point of coincidence in X.
Suppose S and T are cyclic mappings from (Acup B) to (Acup B) such that the range of T contains the range of S. TX is closed in subsets of X.
If range of S contains the range of T and (S X)) is a complete subspace of X, then T and S have a unique point of coincidence in X.
We may express the domain convexity hypotheses in Theorem 3.1 in terms of boundary data depending on the solution u or more specifically, as in [10], intervals containing the range of u.
Bin 1 contains the 10% largest peaks bin 2 contains the range between 10 and 20%, etc as determined by the number of reads per peak.
In consequence, it remains unclear, if the sub-libraries actually contained the expected range of insert sizes.
