in this paper, nickel oxide (nio) nanoparticles have been prepared by solid state thermal decomposition of an acyclic nickel(ii) complex (1,2-bis(2-formyl-3-methoxyphenyl)propane)nickel(ii) chloride, [nil]cl2, in an electrical furnace at optimal temperature, 450 ºc for 3.5 h. the nickel(ii) complex is obtained via solid state synthesis using nickel(ii) chloride and tetradentate o4 acyclic ligan...

Suppose that each edge of a connected graph G of order n is independently operational with probability p; the reliability of G is the probability that the operational edges form a spanning connected subgraph. A useful expansion of the reliability is as pn-1 5dj=0 Hi(l — p ) i , and the Ball-Provan method for bounding reliability relies on Stanley's combinatorial bounds for the H-vectors of shel...

We investigate the conjectured sufficiency of a condition for h-vectors (1, h1, h2, . . . , hd, 0) of regular d-dimensional triangulations. (The condition is already shown to be necessary in [2]). We first prove that the condition is sufficient when h1 ≥ h2 ≥ · · · ≥ hd. We then derive some new shellings of squeezed spheres and use them to prove that the condition is sufficient when d = 3. Fina...

Let Cn = {compositions of n}, C = ∪Cn. We define a partial order making C into a ranked poset having 1 as its bottom element and Cn as its (n− 1)-st rank level. Let α = a1 + · · · + ak ∈ Cn. The interval [1, α] is shown to have the following properties: • The number of maximal chains in [1, α] equals the number of permutations of [n] with descent set {a1, a1 + a2, . . .}. • The interval [1, α] ...

Clostridium botulinum serotype A produces a neurotoxin composed of a 100-kDa heavy chain and a 50-kDa light chain linked by a disulfide bond. This neurotoxin is part of a ca. 900-kDa complex, formed by noncovalent association with a single nontoxin, nonhemagglutinin subunit and a family of hemagglutinating proteins. Previous work has suggested, although never conclusively demonstrated, that neu...

Synthesis of enantiomerically pure isoxazolidine via an asymmetric 1,3- dipolar cycloaddition reaction of nitrone with electron-deficient dipolarophile was described. The process occurs at room temperature in aqueous ethanol as a green solvent and in the presence of a bidendate bis(imine)–Cu(II)triflate complex as catalyst. The reaction mechanism is discussed on the basis of the assignment of t...

The roots of -1 in the set of biquaternions (quaternions with complex components, or complex numbers with quaternion real and imaginary parts) are studied and it is shown that there is an infinite number of non-trivial complexified quaternion roots (and two degenerate solutions which are the complex imaginary operator and the set of unit pure real quaternions). The non-trivial roots are shown t...