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Both results implied that the Continuum Hypothesis is valid for all closed point sets.
Their work inaugurated the development of descriptive set theory by extending Cantor's studies on definable sets of real numbers (in which he had established that the Continuum Hypothesis is valid for closed sets).
All those analyses showed that this hypothesis is valid for our methods (data not shown), thus allowing us to apply the B-H and B-Y procedures.
Using lower concentrations of cell extract for the immunopurification resulted in a decrease in both basal level and the magnitude of activation (Supplementary information, Figure S3B), suggesting that the hypothesis is valid for the basal level but not for the reduced activation.
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Thus, our hypothesis was valid for the present sample.
Therefore, the minimal rotation hypothesis is valid in 21.7% of residues critical for binding (whereas ours is in 31.8%) corresponding to 18% of binding-sites.
If this hypothesis is valid, it may speed the diagnosis of infection because the ROS test requires only a few minutes versus hours to days for microbiological exams.
Future use of these plantations is unclear and an energy substitution hypothesis is valid.
This hypothesis is valid if the proposed transport system is offered by a public body.
We also call attention to the method of Baoicchi [4] who has obtained the results directly, without duality, under slightly different hypotheses, which is valid for first- and second-order equations.
Results indicated that the basic hypothesis of envelope curve is valid for SSTT-confined high-strength concrete specimens for uniaxial monotonic and cyclic loadings.
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