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Since EkDk = DkEk = I for all keys k, this triple encryption uses an inverse pair of operations.
Koornwinder and Swarttouw [19] introduced the following inverse pair of q-Hankel integral transforms under the side condition (f, gin L_{q}^{2}(mathbb{R}_{q,+})): g(lambda)= int_{0}^{infty}xf(x J_{nu}bigl(lambda x;q^{2}bigr),d_{q}x;qquad f(x)= int_{0}^{infty}lambda g(lambda)J_{nu} bigl(lambda x;q^{2}bigr),d_{q}lambda, (2.1) where (lambda, xinmathbb{R}_{q,+}).
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After one pair of vectors (the normal vector of the habit plane and the corresponding shape strain vector) are obtained, the other 47 pairs (including the inverse pairs) can be produced by operations of P24 and inverse through centre Ĩ on the original pair.
For atomic monoid pictures A and B, one can introduce some operations (deletion and insertion of inverse pairs of atomic pictures and a replacement operation (cf. [17, 18])) on spherical monoid pictures.
The degree of anticorrelation for the inverse pairs was calculated, and the results are listed in Table 3.
The inverse pairs are the canonical understanding of miRNA:mRNA interactions, meaning that as the expression of one changes, it is expected that the expression of the other will change in the opposite direction.
We wished to validate additional miRNA:mRNA inverse target pairs.
Making the inverse rationale, pairs of amino acid sites that are consistently detected as coevolving in a phylogenetic context should be functionally related.
On the basis of a high degree of differential expression in DCIS, multiple predicted targets and potential relevance to cancer, we selected six of 59 inverse target pairs consisting of three miRNA (miR-125b, miR-182 and miR-183) for experimental manipulation in a breast cancer cell line.
First, we integrated miRNA and GEP data by using Spearman's correlation (236 differentially expressed miRNA with 2162 differentially expressed genes) and selected only the inverse miRNA gene paired combinations (i.e. miRNA up/gene down and vice versa) with high statistical significance (negative Spearman's correlation, P-value <0.01) for a total of 137 609 miRNA genes pairs.
The DNA was then used for inverse PCR with primer pair cynT2-c1/cynT2-d1 cynT2-c1/cynT2-d1 cynT2-c1/cynT2-d1ase (Molzyme, Germany).
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