Let G be a graph with a nonempty edge set, we denote the rank of the adjacency matrix of G and term rank of G, by rk(G) and Rk(G), respectively. van Nuffelen conjectured that for any graph G, (G) rk(G). The first counterexample to this conjecture was obtained by Alon and Seymour. In 2002, Fishkind and Kotlov proved that for any graph G, (G) Rk(G). Here we improve this upper bound and show that ...

The cellular localization of the Epstein-Barr virus-encoded RK-BARF0 protein was analyzed by fluorescence microscopy and immunoblotting. The recombinant RK-BARF0 protein was found to be tightly bound to nuclear structures, whereas 16- to 20-kDa RK-BARF0 derivatives, generated by differential splicing of the RK-BARF0 transcript, were present throughout the cell. Moreover, a previously generated ...

Raspberry ketone (4-(4-hydroxyphenyl) butan-2-one; RK) is a major aromatic compound of red raspberry (Rubus idaeus). The structure of RK is similar to the structures of capsaicin and synephrine, compounds known to exert anti-obese actions and alter the lipid metabolism. The present study was performed to clarify whether RK helps prevent obesity and activate lipid metabolism in rodents. To test ...

RK and RK∗ beyond the Standard Model Gudrun Hiller ∗ and Ivan Nǐsandžić † Institut für Physik, Technische Universität Dortmund, D-44221 Dortmund, Germany Measurements of the ratio of B → K∗μμ to B → K∗ee branching fractions, RK∗ , by the LHCb collaboration strengthen the hints from previous studies with pseudoscalar kaons, RK , for the breakdown of lepton universality, and therefore the Standar...

Raspberry ketone (RK) is a natural phenolic compound of the red raspberry. The dietary administration of RK to male mice has been reported to prevent high-fat diet-induced elevation in body weight and to increase lipolysis in white adipocytes. To elucidate a possible mechanism for the antiobesity action of RK, its effects on the expression and the secretion of adiponectin, lipolysis, and fatty ...

Melanogenesis inhibition by raspberry ketone (RK) from Rheum officinale was investigated both in vitro in cultivated murine B16 melanoma cells and in vivo in zebrafish and mice. In B16 cells, RK inhibited melanogenesis through a post-transcriptional regulation of tyrosinase gene expression, which resulted in down regulation of both cellular tyrosinase activity and the amount of tyrosinase prote...

Quickly converging series are given to compute polyzeta numbers ζ(r1, . . . , rk). The formulas involve an intricate combination of (generalized) polylogarithms at 1/2. However, the combinatoric has a very simple geometric interpretation: it corresponds with the map p 7→ p on a certain symmetric space P . Introduction: Let k ≥ 1. For a k-uple (r1, r2, . . . , rk) of positive integers, set ζ(r1,...

Quickly converging series are given to compute polyzeta numbers ζ(r1, . . . , rk). The formulas involve an intricate combination of (generalized) polylogarithms at 1/2. However, the combinatoric has a very simple geometric interpretation: it corresponds with the map p 7→ p on a certain symmetric space P . Introduction: Let k ≥ 1. For a k-uple (r1, r2, . . . , rk) of positive integers, set ζ(r1,...

PURPOSE The renoprotective function of the angiotensin II type 1 receptor blocker (ARB) is well-known in various studies, including the animal model of renal failure. However, detailed temporal changes of pathological and molecular findings after unilateral nephrectomy are not fully understood. The main purpose of this study was to clarify the renoprotective effects and pathological changes ind...