We prove that the Besicovitch Covering Property (BCP) does not hold for some classes of homogeneous quasi-distances on Carnot groups of step 3 and higher. As a special case we get that, in Carnot groups of step 3 and higher, BCP is not satisfied for those homogeneous distances whose unit ball centered at the origin coincides with a Euclidean ball centered at the origin. This result comes in con...

It is proposed that the “threshold for etchable track formation” in plastics is associated with the linear density of activated polymeric clusters along the path of an ion, in the “grain-count regime.” Existing data for CR-39 reveal a change in etching rate in the neighborhood of z/β having the value of about 15-20. We infer that this defines the transition from the grain count regime to the tr...

This paper reports the design, making and characterisation of a series of Fe-based bulk metallic glass alloys with the aim of achieving the combined properties of high neutron absorption capability and sufficient glass forming ability. Synchrotron X-ray diffraction and pair distribution function methods were used to characterise the crystalline or amorphous states of the samples. Neutron transm...

The existence of sufficiently many finite-order (in the sense of Nevanlinna) mero-morphic solutions of a difference equation appears to be a good indicator of integra-bility. This criterion is used to single out dP II from a natural class of second-order difference equations. The proof given uses an estimate related to singularity confinement. The Painlevé property has been used as a detector o...

Let ( t )t∈R+ be a Harris ergodic continuous-time Markov process on a general state space, with invariant probability measure π . We investigate the rates of convergence of the transition function P t (x, ·) to π ; specifically, we find conditions under which r(t)‖P t (x, ·)−π‖ → 0 as t → ∞, for suitable subgeometric rate functions r(t), where ‖ · ‖ denotes the usual total variation norm for a ...

A selective and sensitive, stability-indicating reverse phase high performance liquid chromatography method has been first developed and validated for the estimation of miglitol in bulk and tablet dosages form. Samples were separated on a prepacked, Inertsil amino C(18) column (150×4.6 mm i.d.) using a mobile phase comprised of acetonitrile and monobasic sodium phosphate pH 7.5 (80:20, v/v) del...

A reverse phase high performance liquid chromatography (RP-HPLC) has been developed for the estimation of Tenatoprazole in bulk drug and pharmaceutical dosage form. The quantification was carried out using C18 column and mobile phase consisting of 10mM phosphate buffer at p 2.4: acetonitrile (60:40 v/v), at flow rate of 1 mL/min. The separation was performed at ambient temperature. Eluents were...