On approximation by bivariate incomplete polynomials

In this paper we prove that given certain convex domains Δ on the plane, ε>0, andf∈C(Δ) such thatf=0 on θ²Δ={(θ² x,θ² y):(x,y)?Δ} (0<θ<1), a polynomialp(x, y) of the form $$p(x,y) = \sum\limits_{\theta n \leqslant k + l \leqslant n} {a_{kl} x^k y^l }$$ exists such that ∥f?p∥ _C(Δ) ≤ε. The admissible convex domains include triangles and parallelograms with a vertex at the origin and sections of unit disk.     

Iodide-promoted uncatalyzed bromate oscillators

Iodide ions—in a rather narrow concentration range—induce some of the uncatalyzed bromate oscillators to a more pronounced oscillatory activity: the number of oscillations increases considerably and the overall rate of the chemical reaction drops about an order of magnitude. Preliminary suggestion is made on the mechanism of iodide-induced oscillatory reactions.

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Theory for migration of ions in capillary electrochromatography

The fundamental migration theories for chromatography and electrophoresis are both based on a solution of the mass balance equation. The corresponding analysis for an electrochromatographic system has previously been published and is analysed in more detail in this paper. It is shown that the resulting equation, Eq. (8) in this paper, is in agreement with both electrophoretic and chromatographic theories and that when these migration modes are mixed a complicated migration behaviour emerge. These complications arise, if the comparison is done with electrophoretic theory, because the presence of the stationary phase creates a number of new restrictions on the system (electroneutrality on the stationary phase and simultaneous equilibrium for all components between the eluent and stationary phase). From a mathematical point of view, these restrictions make it difficult for the system to satisfy the coherence condition and this in turn may lead to an anomalous behaviour. To minimise the possibility for a complicated behaviour it is advisable to avoid too much mixing of the two migration mechanisms and/or to match the mobilities of the ionic components in the eluent phase with the mobility of the analyte ion.     

High-performance liquid radiochromatography: Its application for stability study of [3H] stobadin

An HPLC method was developed for studying the stability of [³H] stobadin stored in physiological saline or buffers at various pH. Optimum conditions for the separation of degradation products were elaborated. A high-performance liquid chromatograph equipped with a radioactivity detector was used.     

The exchange rate between dissolved tripalmitin and tripalmitin crystals

The focus of this paper is on understanding the exchange between dissolved fats and fat crystals in dispersions by quantifying the rate of the exchange between the fats in solution and in crystals. In the studies reported here, tripalmitin (PPP) was used as model fat. The dispersions contained PPP crystals and dissolved radio-labelled PPP (14C-PPP, used as the probe) in a medium chain triglyceride oil (MCT). The exchange process between the dissolved 14C-PPP and unlabelled PPP crystals was followed using a radio-detector. The effect of the crystal concentration on the exchange rate was studied. The results suggested that the rate of the exchange is dependent upon both the dissolution of the surface of the crystals and also diffusion and crystallisation of the dissolved compounds.