BASIC DEFINITIONS: crossing pair of curves and common interior point between two arcs. crossing number cr(G) minimum number of crossings in a drawing of G l-grid is a pair two disjoint edge subset E1, E2 ⊂ E of a drawing of a graph G = (V, E), such that |E1| = |E2| = l and every edge in E1 crosses every edge in E2 bi-clique complete bipartite graph where vertex classes differ in size by at most...

Losartan, a highly effective blood pressure lowering agent, has been widely used for the treatment of hypertension. A fast and reliable method for the determination of losartan was highly desirable to support formulation screening and quality control. A first derivative UV spectroscopic method was developed for determination of losartan in the tablet dosage form. The first derivative spectrum r...

By a drawing of a graph G, we mean a drawing in the plane such that vertices are represented by distinct points and edges by arcs. The crossing number cr(G) of a graph G is the minimum possible number of crossings in a drawing of G. The pair-crossing number pair-cr(G) of G is the minimum possible number of (unordered) crossing pairs in a drawing of G. Clearly, pair-cr(G) ≤ cr(G) holds for any g...

in this study, different derivative spectrophotometric methods are proposed for the simultaneous determination of chlorpheniramine maleate (cp), phenylephrine hcl (pe) and phenylpropanolamine hcl (pp) in their ternary mixtures and in pharmaceutical dosage forms. spectra of single component and ternary mixtures of various concentrations and combinations from zero- to fourth-derivation were obtai...

Making more luminosity is the name of the game at CESR these days. Luminosity is proportional to the average beam current I, the vertical tuneshift parameter y, and inversely proportional to the vertical beta function at the interaction point y . The main thrust of our e orts is to increase the average beam current by adding more bunches, without losing ground on the other two parameters. This ...

Buprenorphine is a partial mu agonist and kappa antagonist which is used for the treatment of pain and opioid addiction. A mixture of buprenorphine hydrochloride and naloxone hydrochloride has been approved for the treatment of opioid dependence.In this study a third order derivative spectrophotometric method based on zero-crossing technique has been used for the simultaneous determination of b...