Exact Convergence Rate for the Distributions of GI/M/c/K Queue as K Tends to Infinity

We obtain the exact convergence rate of the stationary distribution ^(K) of the embedded Markov chain in GI/M/c/K queue to the stationary distribution of the embedded Markov chain in GI/M/c queue as K. Similar result for the time-stationary distributions of queue size is also included. These generalize Choi and Kim's results of the case c=1 by nontrivial ways. Our results also strengthen the Simonot's results [5].     

c = 2 Rational Toroidal Conformal Field Theories via the Gauss Product

We find a concise relation between the moduli , of a rational Narain lattice (,) and the corresponding momentum lattices of left and right chiral algebras via the Gauss product. As a byproduct, we find an identity which counts the cardinality of a certain double coset space defined for isometries between the discriminant forms of rank two lattices.     

Negatively charged poly(vinylidene fluoride) microfiltration membranes by sulfonation

Negatively charged PVDF microfiltration membranes were prepared using direct sulfonation with chlorosulfonic acid. The effect of sulfonation on the surface chemical properties, morphology, pore size distribution, hydrophilicity, water uptake, pure water flux, fouling and rejection were investigated. As the sulfonation reaction time was furthered, the degree of sulfonation and ion-exchange capacity increased and the membranes became more hydrophilic due to introduction of sulfonyl groups to the membrane surface. Using X-ray photoelectron spectroscopy, the composition of sulfonyl group with respect to sulfur concentration increased with time. From the SEM and porosity measurements, both the untreated and treated membranes did not reveal a substantial change in its morphology. The pure water flux increased significantly having a decreasing intrinsic resistance trend with degree of sulfonation. Both fouling phenomena and rejection were enhanced, with fouling of charged poly(styrene sulfonic acid) molecules on the surface-modified membrane decreased and rejection values increased with increasing degree of sulfonation mainly due to the effective electrostatic repulsion between the negatively charged PSSA and the negatively charged membrane.     

Single-walled carbon nanotube combing during layer-by-layer assembly: from random adsorption to aligned composites

Oriented SWNTs in polymer composites have shown dramatic improvements in the physical properties of a composite because of the anisotropic shape and properties of SWNTs. Controlled alignment of SWNTs during composite fabrication implies better material function performance. This letter reports a new fabrication technique whereby aligned SWNTs and robust SWNT-polymer composites can be made using a fusion method of SWNT combing and layer-by-layer (LBL) assembly. As we previously reported, LBL assembly demonstrated exceptional processing ability in constructing the uniform distribution of a SWNT-polymer composite. Combined with this uniformity, this SWNT combing technique endows controlled alignment of single-stranded SWNTs in a SWNT-polymer composite system. SWNT combing employs air-water interfacial forces to change the molecular topography from the random adsorption state to the stretched alignment of SWNTs. More specifically, air-water interfacial forces are associated with an excess viscous drag force and an intrinsic dewetting rate along SWNTs. Moreover, the alignment efficiency of SWNTs is high enough to construct a multilayered LBL film with horizontal-linear weaving structures. This simple method also can be applied for aligning other nanowire materials because it utilizes simple geometric features of SWNTs.     

PHOTOTAXIS IN DICTYOSTELIUM DISCOIDEUM AMOEBAE

Abstract— An apparatus has been developed to measure phototactic movement in a population of amoebae of Dictyostelium discoideum. Fluence–response curves in white light show a positive phototaxis to light below 100mW/m². Higher intensities cause a negative phototaxis. An action spectrum, based on the zero-crossing points in fluence–response curves for monochromatic light, shows a major peak at about 405nm and secondary maxima at about 450, 520, 580 and 640nm. This action spectrum resembles the action spectra for accumulations of amoebae in and dispersal from light traps and that of inhibition of aggregation by light, but is distinctly different from the action spectrum for phototaxis by D. discoideum pseudoplasmodia.     

A rapid and sensitive method for quantitation of nucleosides in human urine using liquid chromatography/mass spectrometry with direct urine injection

Oxidized nucleosides are biochemical markers for tumors, aging, and neurodegenerative diseases. However, during the last decade, the analytical methods for nucleosides by gas chromatography/mass spectrometry (GC/MS) and high-performance liquid chromatography (HPLC) with single-parameter detectors like electron-capture detection (ECD) have not been sufficiently rapid or reliable to detect nucleosides in urine and to analyze clinical samples. It has been reported (Dudley et al., Rapid Commun Mass Spectrom. 2000; 14: 1200) that liquid chromatography with electrospray mass spectrometry (LC/ESI-MS) is more specific and sensitive for analysis of nucleosides than HPLC with conventional detectors; however, this method required complex extraction steps. In the present work a direct LC/ESI-MS method for nucleosides without extraction of urine samples has been developed. Analysis of nucleosides using positive-ion mode with selected reaction monitoring effectively eliminated potential interferences from endogenous constituents of the urine. This highly selective and sensitive method made it possible to analyze urinary nucleosides with a lower limit of quantitation of 0.2 nmol/mL. The method has been validated, with both excellent linearity and reproducibility, in the calibration range from 0.2-400 nmol/mL. The correlation coefficients of the calibration curves were higher than 0.987. The coefficients of variation were in the range 0.03-14.92% (inter-day) and 0.54-14.39% (intra-day), respectively.     

Reversible strain-induced order in the amorphous phase of a low-density ethylene/butene copolymer

This article deals with the characterization of the structural changes induced by uniaxial extension in the amorphous phase of an ethylene/butene copolymer. Volume change measurements indicate a reversible densification relevant to a strain-induced organization in the amorphous phase. The dynamic mechanical behavior shows an improvement of the β relaxation that reveals an important immobilization of the amorphous chains. The vibrational behavior investigated by means of Raman spectroscopy suggests that the strained amorphous chains are structurally analogous to the mesomorphic interfacial component. A discussion is made about the mechanism of the transformation of the amorphous phase into a mesomorphic structure compared to the more common strain-induced crystallization phenomenon. © 1997 John Wiley & Sons, Inc. J Polym Sci B: Polym Phys 35: 2151–2159, 1997