However the initialisation step of the improved algorithm could potentially lead to invalid arithmetic expressions if extra conditions are not added to the algorithm implementation (C.H. Koh, personal communication, 2 n d of June, 2014).
In the seven cases in which a low-risk type was detected (4 × HPV 6, 2 × HPV 68/73/97 and 1 × HPV 53), no transcripts were detected in five cases, and two cases (both HPV 6) were invalid for expression analysis.
In the eleven cases in which HPV X was detected, one tested positive for HPV 18, no transcripts were detected in three cases, six cases were invalid for expression analysis and one case had insufficient material for re-testing.
The argument for this is the formal fecundity of this procedure and how the resultant system correctly demarcates valid from invalid inferences featuring mass expressions in a consistent and explanatory manner.
When a complex algebraic expression is manipulated, valid manipulations maintain algebraic sub-expressions or act on them in systematic ways; invalid manipulations violate or ignore sub-expressions (Fig. 1c).
In conclusion, when, for all or, for all are fulfilled, at least one of (29) and (30) holds and the expression (27) becomes invalid.
We required that two criteria were met for the inclusion of a miRNA expression time-series ('expression series' in further text) in the analysis: i/ Expression of the miRNA should be denoted as "present" in at least one time point, otherwise we assume that the expression series for the miRNA is invalid.
This can lead to an invalid test with inflated type 1 error when different expression values within a gene set are correlated.
Thus, the signal intensities of these reporters, which we call "invalid", do not provide useful information as to the expression level of a specific gene.
Data on gene expression levels in the jejunal and ileal mucosa samples collected from the PIOC model were found to be invalid in the present study due to the inconsistent gene expression patterns measured.
There are numerous articles in the most prominent journals, written by both biologists and by methodologists, which make claims for gene expression classifiers and for new classification algorithms, which are invalid because they have cross-validated improperly.
