A functional central limit theorem for ϱ-mixing sequences

In this note a functional central limit theorem for ?-mixing sequences of I. A. Ibragimov (Theory Probab. Appl.20 (1975), 135–141) is generalized to nonstationary sequences (X_n)_n ∈ $\text{N}$, satisfying some assumptions on the variances and the moment condition $\text{E |X}{}_{\mathrm{n}}\text{|}{}^{\mathrm{2\; +\; b}}\text{= O(n}{}^{\mathrm{<mtext>b</mtext><mtext>2</mtext><mtext>??</mtext>}}\text{)}$ for some b > 0, ? > 0.     

Quantitative analysis of selected PCB congeners in marine matrix reference materials using a novel cyanobiphenyl stationary phase

A novel p,p-cyanobiphenyl stationary phase (p-cyanobiphenyl, p-allyloxy methylpolysiloxane) has been evaluated for the GC investigation of polychlorinated biphenyls (PCBs). Several PCB congeners which coelute on the phases typically used for PCB analysis (e.g. 5% phenyl methylpolysiloxane) are separated on the p,p-cyanobiphenyl phase, including the hexachlorobiphenyl congeners PCB 163, PCB 164, and PCB 138. In this work, a p,p-cyanobiphenyl stationary phase was used to measure selected PCB congeners in two Standard Reference Materials (SRMs) available from the National Institute of Standards and Technology (NIST), and two Certified Reference Materials (CRMs) available from the Community Bureau of Reference (BCR). The materials analyzed were SRM 1588, Organics in Cod Liver Oil; SRM 1945, Organics in Whale Blubber; CRM 349, Chlorobiphenyls in Cod Liver Oil; and CRM 350, Chlorobiphenyls in Mackerel Oil. Concentrations are reported for several PCB congeners which coelute on the 5% phenyl methylpolysiloxane, including PCB 163 and PCB 164.     

Column packing for gas chromatography containing immobilized poly(ethylene glycol) stationary phase

Summary Carbowax 20M poly(ethylene glycol) stationary phase was immobilized on Chromosorb W by cross-linking with pluriisocyanate. The properties of the prepared packing material were investigated. Column efficiencies of 10,960 and 7,510 theoretical plates/meter were obtained for n-pentadecane and 1-heptanol, respectively.     

旋转磁场中朗道系统的非绝热非周期性量子几何相位和Hannay角

基于代数动力学，精确求解了旋转磁场中的朗道系统，讨论了它的一般几何相位，给出了一般量子几何相位中对应于规范势的那部分相位的经典对应. 数值计算结果显示出非绝热演化和绝热演化的重大区别：非绝热演化诱导的非绝热量子激发引起系统物理量的非周期性和复杂性，体现了环境对系统的影响.     

On the exact WKB analysis of operators admitting infinitely many phases

To analyze differential operators whose WKB solutions admit infinitely many phases, we introduce a class of differential operators of WKB type and analyze their exact WKB theoretic structure near their turning points. Our analysis makes full use of techniques and ideas in microlocal analysis; we use a quantized contact transformation to construct a WKB solution of a differential equation of WKB type, and we use a Späth-type division theorem for a differential operator of WKB type to study its structure near turning points. As an application, we show a connection formula for WKB solutions near a simple turning point.     

Topological investigation of the fractionally quantized Hall conductivity

Using the fiber bundle concept developed in geometry and topology, the fractionally quantized Hall conductivity is discussed in the relevant many-particle configuration space. Electronmagnetic field and electron-electron interactions under FQHE conditions are treated as functional connections over the torus, the torus being the underlying two-dimensional manifold. Relations to the (2 + 1)-dimensional Chern-Simons theory are indicated. The conductivity being a topological invariant is given as e²/h times a linking number which is the quotient of the winding numbers of the self-consistent field and the magnetic field, respectively. Odd denominators are explained by the two spin structures which have been considered for the FQHE correlated electron system.     

一个机器服务模型的可靠性分析

本文讨论了由Ｎ个同型部件和一个服务设备组成的机器服务模型，在服务设备绝对可靠，或服务设备具有指数寿命，修理工对其修理的时间为ＰＨ分布，这两种情况下求得了系统的平稳概率分布，从而求得机器系统和服务设备的稳态可靠性指标，并证明了它们的首次失效时间均服从ＰＨ分布，服务设备和修理工的忙期亦服从ＰＨ分布．     

Planarity recognition of large polycyclic aromatic hydrocarbons by various octadecylsilica stationary phases in non-aqueous reversed-phase liquid chromatography

Summary Planarity recognition of polycyclic aromatic hydrocarbons has been investigated using bonded octadecyl stationary phases synthesized in different ways. Retention results indicate apparent differences among the functionalities of the stationary phases, a fact found useful for identifying the functionality of commercially available octadecylsilica (ODS) phases. Retention behevior can be explained by the slit-like structures of polymeric oDS phases, as evidenced by suspension¹³C NMR measurements.     

On the resolution of monotone complementarity problems

A reformulation of the nonlinear complementarity problem (NCP) as an unconstrained minimization problem is considered. It is shown that any stationary point of the unconstrained objective function is a solution of NCP if the mapping F involved in NCP is continuously differentiable and monotone, and that the level sets are bounded if F is continuous and strongly monotone. A descent algorithm is described which uses only function values of F. Some numerical results are given.     

HPLC in industry—A well established procedure for characterizing RP-stationary phases

Summary A well established totally automated testing procedure for characterization of RP materials is presented. The test is suited to the determination of hydrophobic and silanophilic interactions, as well as trace metal impurities on silica surfaces. it includes measurements of stationary phase stability and shows column performance at two different pH conditions. The very different parameters examined readily reveal batch to batch reproducibility and are therefore suitable for laboratories dealing with quality control and validation of columns. Presented at the 21^st ISC held in Stuttgart, Germany, 15^th–20^th September, 1996