The simplest objects with non-commutative multiplication may be 2 × 2 matrices with real entries. Such matrices of determinant one form a closed set under multiplication (since det(AB) = detA · detB), the identity matrix is among them and any such matrix has an inverse (since detA 6= 0). In other words those matrices form a group, the SL2(R) group [8]— one of the two most important Lie groups i...

T he simplest objects with noncommutativemultiplicationmay be 2×2matrices with real entries. Such matrices of determinant one form a closed set under multiplication (since det(AB) = detA · detB), the identity matrix is among them, and any such matrix has an inverse (since detA ≠ 0). In other words those matrices form a group, the SL2(R) group [8]—one of the two most important Lie groups in anal...

In very-high-energy nuclear collisions, the initial energy of produced gluons per unit area per unit rapidity, (dE/L2)/deta, is equal to f(g(2)&mgr;L) (g(2)&mgr;)(3)/g(2), where &mgr;(2) is proportional to the gluon density per unit area of the colliding nuclei. For an SU(2) gauge theory, a nonperturbative computation of f(g(2)&mgr;L) shows that it varies rapidly for small g(2)&mgr;L but varies...

We examined the pulmonary and systemic hemodynamic effects of administering soluble nitric oxide (NO) donor compounds (NO/nucleophile adducts, i.e., NONOates) directly into the trachea of animals with experimentally induced pulmonary hypertension. Steady-state pulmonary hypertension was created by using the thromboxane agonist U-46619. Yorkshire pigs were randomly assigned to one of four groups...

Although isoform-selective translocation of protein kinase C (PKC) epsilon appears to play an important role in the late phase of ischemic preconditioning (PC), the mechanism(s) responsible for such translocation remains unclear. Furthermore, the signaling pathway that leads to the development of late PC after exogenous administration of NO in the absence of ischemia (NO donor-induced late PC) ...

The problem of evaluating the sign of the determinant of a small matrix arises in many geometric algorithms. Given an n × n matrix A with integer entries, whose columns are all smaller than M in Euclidean norm, the algorithm given here evaluates the sign of the determinant detA exactly. The algorithm requires an arithmetic precision of less than 1.5n+2 lgM bits. The number of arithmetic operati...

Data collection is one of the most important applications in Wireless Sensor Networks (WSNs), where the data are gathered from sensor nodes to the base station. To reduce energy consumption, the sensor node may not report every sensed data sample to the base station. Thus, the network traffic of continuous data collection application often varies unpredictably over different sampling intervals....

An amino-functionalized magnetic macroporous copolymer of glycidyl methacrylate (GM) and ethylene glycol (E) dimethacrylate (m-poly(GME)-deta) was synthesized, fully characterized, used to investigate the adsorption vanadium (V) oxyanions from aqueous solutions (Ci = 0.5 mM) in a batch system at room temperature (298 K). Pseudo-first-order (PFO), pseudo-second-order (PSO), Elovich, intra-partic...