Let G be a graph with vertex set V (G) and edge set E(G), and let g and f be integer-valued functions defined on V (G) such that 0 ≤ g(x) < f(x) for all x ∈ V (G), and let H1 and H2 be two edge-disjoint subgraphs of G. We prove that G has a (g, f) -factor F such that E(H1) ⊆ E(F ) and E(H2) ∩ E(F ) = ∅ if G satisfies (1) g(x) + dH2(x) ≤ dG(x) and f(x) ≥ dH1(x) for all x ∈ V (G), and (2) (f(x)− ...

In this article, we analyze several discontinuous Galerkin methods (DG) for the Stokes problem under the minimal regularity on the solution. We assume that the velocity u belongs to [H 0 (Ω)] d and the pressure p ∈ L0(Ω). First, we analyze standard DG methods assuming that the right hand side f belongs to [H−1(Ω) ∩ L(Ω)]. A DG method that is well defined for f belonging to [H−1(Ω)]d is then inv...

Activation of prefrontal cortical (PFC), striatal, and hippocampal dopamine 1-class receptors (D1R and D5R) is necessary for normal spatial information processing. Yet the precise role of the D1R versus the D5R in the aforementioned structures, and their specific contribution to the water-maze spatial learning task remains unknown. D1R- and D5R-specific in situ hybridization probes showed that ...

Let f be a permutation of V (G). Define f (x, y)=|dG(x, y)−dG(f (x), f (y))| and f (G)= ∑ f (x, y) over all the unordered pairs {x, y} of distinct vertices of G. Let (G) denote the smallest positive value of f (G) among all the permutations f of V (G). The permutation fwith f (G)= (G) is called a near automorphism ofG. In this paper, we study the near automorphisms of cycles Cn and we prove tha...

The glycosylation of alpha-dystroglycan (α-DG) is crucial in maintaining muscle cell membrane integrity. Dystroglycanopathies are identified by the loss of this glycosylation leading to a breakdown of muscle cell membrane integrity and eventual degeneration. However, a small portion of fibers expressing functionally glycosylated α-DG (F-α-DG) (revertant fibers, RF) have been identified. These f...

While utilizing poly(2’-O-methylcytidylate) oligodeoxyguanylate ((Cm),*(dG)lz-18) to assay for DNA polymerase activity during fractionation of total cell extracts of cultured human, malignant cells, a new DNA polymerase activity called DNA polymerase Cm was identified in the human melanoma cell line A-375. T h i s activity, which was not associated with particles with the density of RNA tumor v...

In order to approximate the Riemann–Stieltjes integral ∫ b a f (t) dg (t) by 2–point Gaussian quadrature rule, we introduce the quadrature rule ∫ 1 −1 f (t) dg (t) ≈ Af ( − √ 3 3 ) + Bf (√ 3 3 ) , for suitable choice of A and B. Error estimates for this approximation under various assumptions for the functions involved are provided as well.

The efficacy of iron(II) sulfide (FeS)-based autotrophic denitrification in simultaneous nitrogen and phosphorus removal from wastewater was studied with batch experiments. It was efficient at a wide pH range of 5-9, and temperature range of 10-40 °C. The concentrations of NH₄⁺-N, Mg²⁺ and HCO₃⁻ in the wastewater should be kept over 7.8, 0.24 and 30 mg L⁻¹ for efficient nitrate (NO₃⁻-N) reducti...