Differently from the case where Γ is a cyclic group, these conditions do exclude existence in specific cases.
Of note this does not necessarily mean that any gene subsets or single genes of the "fibroblast specific BMP2 induced gene list" have the same prognostic power, neither it excludes existence of other, parallel prognostic signatures.
No peaks around 33° were found, excluding the existence of indium droplets on the InN surface.
No additional peaks can be distinguished in the XRD pattern of the In-doped ZnO nanocrystals, excluding the existence of large quantity of nanocrystals with cubic structures.
In silico modeling predicts an initial neutral pH profile evolving into extreme cathodic alkaline and anodic acidic fronts moving towards each other and colliding, thus excluding the existence of a biological pH region between them.
But both Green at the beginning of the movement and Royce towards its end strove for more nuanced positions, not excluding the existence of matter from their idealisms, and thus resisted monism.
We apply this measurement protocol to HET-s(218 289) prion fibrils under different conditions (including physiological pH, where protofibrils assemble together into thicker fibrils) and demonstrate that each protofibril of HET-s(218 289), is surrounded by water, thus excluding the existence of extended dry interfibril contacts.
A special case of this test is the Jacobian criterion, which provides a sufficient condition for excluding the existence of multiple positive equilibria and is based on the theory developed in [ 2, 13, 14].
Surprisingly, the first bases of the 5'UTR were found neither in the first exon, nor in the genomic region 10 kb upstream the first exon, excluding the existence of an upstream micro-exon.
As an example, the existence of a UTU obviously excludes the existence of a UT or TU in the same gene, and vice-versa.
