We here report a statistical fact in support of the basic assumption underlying our model. The matching condition we employ dictates a certain correlation between the sets of regulated genes by each TF: if the binding sequence of a TF (A) is embedded in that of a TF (B), then the set of genes {Gi}B regulated by TFB in our model is a subset of {Gi}A. A similar investigation of the yeast database...

We prove that the group S3 (norm 1 quaternions) cannot be a geometric realization of a crossed simplicial group and construct an exact sequence connecting S3equivariant homology of an S3-space with its Pin(2)-equivariant homology. 2000 Mathematics Subject Classification. 19G38, 55T05, 22E40.

For simplicity, we adopt the following rules: X denotes a non empty set, F denotes a sequence of partial functions from X into R with the same dom, s1, s2, s3 denote sequences of extended reals, x denotes an element of X, a, r denote extended real numbers, and n, m, k denote natural numbers. We now state several propositions: (1) If for every natural number n holds s2(n) ≤ s3(n), then inf rng s...

The amino acid sequence of rat ribosomal protein S3, which has been reported to form part of the binding site for initiation factors, was deduced from the sequence of nucleotides in a recombinant cDNA. Ribosomal protein S3 contains 243 amino acids and has a molecular weight of 26,643. Rat S3 and Xenopus laevis ribosomal protein S1 are homologous: There are 62 identities in 63 consecutive residu...

We analyze flat S3-covers, attempting to create structures parallel to those found in the abelian theory. We use an initial local analysis as a guide in finding a global description.