Let G1 × G2 be a subgroup of SO3(R) such that the two factors G1 and G2 are non-trivial groups. We show that if G1 × G2 is not abelian, then one factor is the (abelian) group of order 2, and the other factor is nonabelian and contains an element of order 2. There exist finite and infinite such non-abelian subgroups. Let F2 be the free group of rank 2. It is well-known that the group SO3(R) has ...

Let C be an algebraically closed field with trivial derivation and let F denote the differential rational field C〈Y1, . . . , Y5〉, with Y1, . . . , Y5 differentially independent over C. We show that there is a Picard-Vessiot extension E ⊃ F for a matrix equation X ′ = XA(Yi), with differential Galois group SO3, with the property that if F is any differential field with field of constants C then...

Interaction of biomaterials with blood components including neutrophils is responsible for some of the clinical complications that have occurred in cardiopulmonary bypass, hemodialysis, and ventricular assist procedures. The possibility of inhibiting the initial adhesion of neutrophils to biomaterials has been studied extensively, but the problem remains unsolved. In this study, we investigated...

Multi-pollutant control technologies will become more important in the future. This new membrane wet electrostatic precipitator (WESP) system is ideally suited to, and very cost effective for, removing PM2.5, SO3 and Hg after limestone wet flue gas desulphurization (WFGD) scrubbers in the utility industry. Several coal-fired utilities have been experiencing increased SO3 emissions from their ex...

A coumarin-hemicyanine dye was reported for ratiometric fluorescent detection of SO2 derivatives HSO3(-) and SO3(2-) based on a novel addition-rearrangement cascade reaction.

We develop a partial trace formula which circumvents some technical difficulties in computing the Selberg trace formula for the quotient SL3(Z)\SL3(R)/SO3(R). As applications, we establish the Weyl asymptotic law for the discrete Laplace spectrum and prove that almost all of its cusp forms are tempered at infinity. The technique shows there are non-lifted cusp forms on SL3(Z)\SL3(R)/SO3(R) as w...

The role of sulfur and its synergistic effects with nitrogen moieties in mediating stem cell proliferation differentiation has become interest to the tissue engineering community due chemical similarities glycosaminoglycans found human tissues cells. Glycosaminoglycans are biomolecules known influence differentiation, but roles different oxidation states on nitrogen-containing polymers have not...