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Exact(11)
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.
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.
Similar(49)
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.
The rural sub-districts formed part of a national pilot for national health insurance reforms, and the urban sub-district contained the range of settlements and service responses available within the province.
Twice daily toothbrushing using toothpaste that contains in the range of 1000- 1500ppmF is a most important preventive measure.
Plus, each channel of information contains the full range of audible sound, from the ultra-low 20 Hz vibrations of a passing train to the highest 20,000 Hz chirps of Austin Powers' girlfriend.
In many species this can result in the development of a normal embryo that contains the full range of body parts and cell types.
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