We compute the algebra of differential invariants unparametrized curves in homogeneous G2 flag varieties, namely G2/P. This gives a solution to equivalence problem for such curves. consider cases integral and generic relate problems all three choices parabolic subgroup P.

We find closed form formulas for the Kemeny’s constant and Kirchhoff index cluster G1{G2} of two highly symmetric graphs G1, G2, in terms parameters original graphs. also discuss some necessary conditions a graph to be symmetric.

The existence of a partition of the common set of the vertices of two forests into two subsets, when difference of their capacities in the neighbourhood of each vertex of each forest not greater than 2 is proved, and an example, which shows that improvement of the specified constant is impossible is brought. In this paper we continue researches started in [1-2], devoted to locally-balanced part...

Vacuolar H(+)-ATPases (V-ATPases), a family of multimeric proton pumps, are involved in a wide variety of physiological processes. We have identified two mouse genes, Atp6g1 and Atp6g2, encoding the G1 and G2 isoforms of the V-ATPase G subunit, respectively. G1 was distributed ubiquitously in the tissues examined, whereas G2 was specifically distributed in central nervous system neurons. G1 was...

We have previously reported that Nodal, a member of the TGF-beta superfamily, acts through activin receptor-like kinase 7 (ALK7) to inhibit ovarian cancer cell proliferation. To determine the mechanism underlying their effects, a cell cycle gene array was performed and cyclin G2 mRNA was found to be strongly up-regulated by Nodal and ALK7. To study the function and regulation of cyclin G2 in ov...

Purpose: Preferential expression of the g2 chain of laminin-5 in invading carcinoma cells has been implicated in tumor invasion. The aim of this study was to clarify the clinicopathological and prognostic significance of laminin g2 chain expression in esophageal squamous cell carcinoma (SCC). Experimental Design: We analyzed the association between immunohistochemically detected laminin g2 chai...

We give a pedagogical introduction to hard photoproduction processes at HERA, including the production of jets, hadrons, and prompt photons. Recent theoretical developments in the three areas are reviewed. ANL-HEP-CP-99-73