AnO(\sqrt n L) iteration potential reduction algorithm for linear complementarity problems

This paper proposes an interior point algorithm for a positive semi-definite linear complementarity problem: find an (x, y)∈? ²ⁿ such thaty=Mx+q, (x,y)?0 andx ^T y=0. The algorithm reduces the potential function $$f(x,y) = (n + \sqrt n )\log x^T y - \sum\limits_{i = 1}^n {\log x_i y_i } $$ by at least 0.2 in each iteration requiring O(n ³) arithmetic operations. If it starts from an interior feasible solution with the potential function value bounded by \(O(\sqrt n L)\) , it generates, in at most \(O(\sqrt n L)\) iterations, an approximate solution with the potential function value \( - O(\sqrt n L)\) , from which we can compute an exact solution in O(n ³) arithmetic operations. The algorithm is closely related with the central path following algorithm recently given by the authors. We also suggest a unified model for both potential reduction and path following algorithms for positive semi-definite linear complementarity problems.     

Inventory of <Superscript>129</Superscript>I in brackish lake sediments adjacent to a spent nuclear fuel reprocessing plant in Japan

In this study, four fruit’s seed samples as Punica granatum L., Citrus medica var. limonum, Malus domestica L. and Citrus vulgaris Risso were prepared from Arak’s markets. They were analyzed using instrumental neutron activation method (INAA). In this method, Tehran research reactor as a neutron source and relative INAA method has been used as the analysis method and to record gamma ray spectrum, the high purity germanium detector was used. Pomegranate seeds had the highest number of essential elements. Apple seeds and sour orange seeds contain the highest levels of Mg and K, Respectively.     

Enantioselective carbonyl-ene-type cyclization of α-ketoester and 2-substituted vinylsilane catalyzed by a chiral Cu-BOX complex

We developed an enantioselective carbonyl-ene-type cyclization using 2-substituted vinylsilane as a nucleophilic ene moiety catalyzed by a chiral copper-BOX complex. This reaction is the first example of enantioselective carbonyl-ene cyclization using a 1,2-disubstituted olefin. This methodology gave chiral indenols with a tetrasubstituted carbon.     

Encapsulation of Hb into unsaturated lipid vesicles and γ-ray polymerization

A carbonyl hemoglobin (HbCO) solution was stirred with a mixed powder of polymerizable 1,2-bis(2,4-octadecadienoyl)-sn-glycero-3-phosphocholine (DODPC), cholesterol and stearic acid (7/7/2 by mol). The mixture was extruded through polycarbonate membrane filters (final pore size = 0.2 μm Ø). The average diameter of the resulting vesicles was 203 ± 39 nm. The [Hb]/[Lipid] ratio (the weight ratio of Hb in vesicle to lipid) increased with the Hb concentration, and decreased with the NaCl concentration. A maximum [Hb]/[lipid] ratio was observed at pH 6.9, which was the same as the isoelectric point of Hb. The vesicles were stabilized by γ-irradiation (⁶⁰Co) because the bilayer lipids bound each other to yield polyphospholipids. Denaturation of Hb by γ-irradiation was not detected. These polyphospholipid vesicles encapsulating Hb were stable even against the freeze–thaw cycles and the freeze-drying procedure.     

Rh(I)-catalyzed ring-closing reaction of allenynes: selective construction of cycloheptene, bicyclo[5.3.0]decadienone, and bicyclo[5.2.0]nonene frameworks

Highly selective formation of cycloheptene, bicyclo[5.3.0]decadienone, and bicyclo[5.2.0]nonene skeletons from tri- and tetrasubstituted allenynes has been achieved via a Rh(I)-catalyzed ring-closing reaction and proper choice of substrate and/or reaction conditions.     

Synthesis and characterization of aromatic poly(ether sulfone)s containing pendant sodium sulfonate groups

Poly(ether sulfone)s containing pendant sodium sulfonate groups were prepared by the aromatic nucleophilic substitution reaction of 4,4′-dichlorodiphenylsulfone ( 1 ) and sodium 5,5′-sulfonylbis (2-chlorobenzenesulfonate) ( 2 ) with bisphenols ( 3 ) in the presence of potassium carbonate in N,N-dimethylacetamide. A new monomer 2 containing the sodium sulfonate groups was synthesized by the sulfonation of 1 with fuming sulfuric acid. The polycondensation proceeded smoothly at 170°C and produced the desired poly(ether sulfone)s containing the sodium sulfonate with inherent viscosities up to 1.2 dL/g. The polymers were quite soluble in strong acid, dipolar aprotic solvents, m-cresol, and dichloromethane. The thermogravimetry of the polymers showed excellent thermal stability, indicating that 10% weight losses of the polymers were observed in the range above 460°C in nitrogen atmosphere. Both the glass transition temperatures and hydrophilicity of the polymers increased with increasing their concentrations of sodium sulfonate groups. © 1993 John Wiley & Sons, Inc.     

A facile preparation of 4-(1-Acetyl-4(1H)-pyridylidene)-2-oxazohn-5-ones

4-(1-Acetyl-4(1H)-pyridylidene)-2-oxazolin-5-ones were prepared by the reaction of acylglycines with pyridine and acetic anhydride under oxygen. Acidic and alkaline hydrolysis of 2-oxazolin-5-ones provided oxazole derivatives, pyridine derivatives, and carboxylic acids.     

A novel system of self-reproducing giant vesicles

Novel self-reproducing giant vesicles, consisting of a vesicular amphiphile with an imine group in its hydrophobic chain, were constructed. This vesicular amphiphile, the product of a dehydrocondensation reaction between amphiphilic aldehyde and a lipophilic aniline derivative, could be prepared within the giant vesicles. When a protected form of the aldehyde precursor was added to a suspension of giant vesicles containing the lipophilic aniline precursor and a catalyst, dehydrocondensation between the two precursors took place inside the vesicles and produced the same amphiphile as the one which constitutes the original vesicle. The newly formed amphiphiles self-assembled in the inner water pool to form small vesicles, which were eventually extruded through the outer layer of the original vesicle to the bulk water. Accordingly, this kinetic system can be designated as a self-reproducing system of giant vesicles.     

Some aspects of palladium-catalyzed cycloalkenylation: developments of environmentally benign catalytic conditions and demonstration of tandem cycloalkenylation

The influences of catalysts, substituent groups, and solvents on the palladium-catalyzed cycloalkenylation of cross-conjugated silyl enol ethers of 2-tert-butyldimethylsiloxy-5-(2-propenyl)-1,3-cyclohexadiene derivatives have been investigated. The catalytic reaction proceeded smoothly, even in aqueous media. The product ratios were influenced by the structure of substrates as well as solvents. In addition, it was found that the reaction is applicable to a tandem cyclization for the construction of cedrane skeleton.