It will be shown that the cosine projection, although generally accepted, is not valid and that it can give rise to significant errors.
For example in Figure 5a, 20% of the cases the intersection is empty and almost in 30% of the cases the bound (Bound 2) is not valid although the intersection is nonempty.
The 5-4 majopinionpinion, written by Chief Justice John Roberts, upheld the mandate as a tax, although concluded it was not valid as an exercise of Congress' commerce clause power.
Although this statement is not valid for all types of compartment models, it does hold for the SBSP models.
In general, the assertion that the behavior of the system with a distributed parameter can be predicted given that the direction of selection and the support are known is not valid (although it is true for our particular models).
At time of ponding and during the final period of overland flow recession, the assumption of constant k is not valid and, although mathematically correct, physically erroneous results are obtained.
Furthermore, we have proved that the TMPRSS2-ERG status, although specific for PCa, is not valid as a prognostic biomarker in PCa patients treated with radical prostatectomy.
Table 3 shows that this was remarkably good for all studies, and was around 70-75% for tamoxifen, although comparisons between trials are not valid because of the different ways of presenting compliance data (crude percentages, actuarial curves, percentage of prescribed medication taken).
Although this t-test is essentially not valid for making such comparisons, extensive studies have shown it to be applicable also in these respects, and, consequently, the student's t-test has been widely and successfully used for analysis of proportional data [ 22].
Although not a valid option for the RTM production route, crystallization from a truly random melt and at a sufficiently high cooling rate would substantially improve the ductility.
