We study N = 4 SYM on R × S3 and theories with 16 supercharges arising as its consistent truncations. These theories include the plane wave matrix model, N = 4 SYM on R× S2 and N = 4 SYM on R× S/Zk, and their gravity duals were studied by Lin and Maldacena. We make a harmonic expansion of the original N = 4 SYM on R×S3 and obtain each of the truncated theories by keeping a part of the Kaluza-Kl...

The patterns of O-acetylation of the exopolysaccharide (EPS) from the Sym plasmid-cured derivatives of Rhizobium leguminosarum bv. trifolii strain LPR5, R. leguminosarum bv. trifolii strain ANU843 and R. leguminosarum bv. viciae strain 248 were determined by 1H and 13C NMR spectroscopy. Beside a site indicative of the chromosomal background, these strains have one site of O-acetylation in commo...

Abstract We continue our study of the mixed Einstein–Hilbert action as a functional pseudo-Riemannian metric and linear connection. Its geometrical part is total scalar curvature on smooth manifold endowed with distribution or foliation. develop variational formulas for quantities extrinsic geometry metric-affine space use them to derive Euler–Lagrange equations (which in case space-time are an...

Explicit product formulas are obtained for families of multivariate polynomials which are orthogonal on simplices and on a parabolic biangle in R. These product formulas are shown to give rise to measure algebras which are hypergroups. The article also includes an elementary proof that the Michael topology for the space of compact subsets of a topological space (which is used in the definition ...

Knowledge about signaling in arbuscular mycorrhizal (AM) symbioses is currently restricted to the common symbiosis (SYM) signaling pathway discovered in legumes. This pathway includes calcium as a second messenger and regulates both AM and rhizobial symbioses. Both monocotyledons and dicotyledons form symbiotic associations with AM fungi, and although they differ markedly in the organization of...

Outlier detection is an important task in data mining because outliers can be either useful knowledge or noise. Many statistical methods have been applied to detect outliers, but they usually assume a given distribution of data and it is difficult to deal with high dimensional data. The Statistical Learning Theory (SLT) established by Vapnik et aI. provides a new way to overcome these drawbacks...

The paper is devoted to a revision of the metric regularity property for mappings between metric or Banach spaces. Some new concepts are introduced: uniform metric regularity and metric multi-regularity for mappings into product spaces, when each component is perturbed independently. Regularity criteria are established based on a nonlocal version of Lyusternik-Graves theorem due to Milyutin. Th...