Planar Maximally Filtered Graphs (PMFG) are an important tool for filtering the most relevant information from correlation based networks such as stockmarket networks. One of themain characteristics of a PMFG is the number of its 3and 4-cliques. Recently in a few high impact papers it was stated that, based on heuristic evidence, the maximum number of 3and 4-cliques that can exist in a PMFGwith...

Oor N-arylated aminophenol products constitute a common structural motif in various potentially useful therapeutic agents and/or drug candidates. We have developed a complementary set of Cuand Pd-based catalyst systems for the selective Oand N-arylation of unprotected aminophenols using aryl halides. Selective O-arylation of 3and 4-aminophenols is achieved with copper-catalyzed methods employin...

Oor N-arylated aminophenol products constitute a common structural motif in various potentially useful therapeutic agents and/or drug candidates. We have developed a complementary set of Cuand Pd-based catalyst systems for the selective Oand N-arylation of unprotected aminophenols using aryl halides. Selective O-arylation of 3and 4-aminophenols is achieved with copper-catalyzed methods employin...

Let f be a rational function, which has k n-cycles under iteration. By using the symmetry of the underlying equation of degree k ·n, it is reduced to equations of degree k and n. This is explained in terms of Galois theory. The 3and 4-cycles of fc(z) = z2 + c are obtained explicitly. This yields the corresponding multiplier, which maps hyperbolic components of the Mandelbrot set conformally ont...

The Dirac monopoles in 3-space and their generalization by C. N. Yang to 5-space are observed to be just the Levi-Civita spin connection of the cylindrical Riemannian metric on the 3and 5dimensional punctured spaces. Their straightforward generalization to higher dimensions is also investigated.

We study warped compactifications to three dimensions, realized as an orientifold of type IIA string theory on T . By turning on 3and 4-form fluxes on the torus in a supersymmetric way, we generate a potential for the moduli fields. We present various flux configurations with N = 1, 2, 3, 4, 5, 6 supersymmetries and count the number of moduli in each case. In particular, we show that there are ...

We study permutation type solutions to n-simplex equations, that is, solutions whose matrix form can be written as R1n ii...in = ∏n α=1 δ jα Aαiβ+Bα with some n × n matrix A and vector B, both over ZD. With this ansatz the D n(n+1) equations of the n-simplex equation reduce to an [12n(n+1)+1]× [ 1 2n(n+1)+1] matrix equation over ZD. We have completely analyzed the 2-, 3and 4-simplex equations i...

Storage of 42° Brix Pineapple and Valencia orange concentrates at 40° F. resulted in in creased gelation, clarification, and apparent pulp content, whereas pectin decreased. Total glycosides, as hesperidin, remained constant in these products during storage. The experi mental packs heated at 1and 2-fold were more stable than those heated at 3and 4fold; also all of the Valencia concentrates, con...

The peer-related communicative interactions of nonhandicapped 3and 4-year-old children as well as a group of 4-year-old mildly developmentally delayed children were investigated in a cross-sectional descriptive study. Adjustments of speakers to companions varying in terms of chronological age and developmental status were of interest, as were comparisons among the three groups. All three groups...