Cohomology vanishing theorem and finitely generated ideals in certain function algebras

What we want to give in this paper is when is an ideal in function algebras finitely generated in view of subelliptic estimates of -Neumann problem.     

An algorithm for nondifferentiable optimization

In this paper, we give an implementable algorithm for minimizing a locally Lipschitz function without constraints, and prove the global convergence under the -acute angle condition.     

Bioaccumulation and voltammetry of gold at flower-biomass modified electrodes

The bioaccumulation of gold at antheral cells from flower Datura innoxia is investigated by incorporating these plant cells into a carbon paste matrix. The resulting plant-modified electrode offers a preferential uptake of gold from dilute solutions. The voltammetric behavior of the surface-bound gold is examined under different preconcentration conditions. Scanning electron microscopy offers useful insights into the gold collection process. Convenient measurements of micromolar gold concentrations are possible, with effective self cleaning allowing the use of a single electrode in multiple determinations (R.S.D. of 4.8% for 50 repetitions). The sensitivity and selectivity enhancements associated with the preferential bioaccumulation process, and the convenient surface regeneration, offer the prospect of using the flower-biomass containing electrodes as sensors for gold.     

Determination of total inorganic iodine in seawater by cathodic stripping square wave voltammetry

A method has been designed for the reduction of iodate to iodide in seawater and subsequent determination of total dissolved iodine as iodide by cathodic stripping square wave voltammetry. The pH of the sample is lowered to about 1-2 and iodate is reduced to iodide with sodium sulfite under this acidic condition. The pH of the sample is then raised to 8-9 before the concentration of iodide is measured.     

Directed polymers in Hartree-Fock approximation

A replica trick is used to map the problem of directed polymers into a quantum mechanics problem ofn-body bound states. This bound-state problem is then treated using a self-consistent method of Hartree-Fock. Ford=2, the exact result of the DP exponents is reproduced; and for complex DP, the ground-state energyE _n n² is found, confirming previous numerical results.