PROLONGATION METHOD OF FINDING BACKLUND TRANSFORMATION AND LAX-PAIR OF ERNST EQUATION AND ERNST-MAXWELL EQUATIONS

In this papsr all the known Backlund trans- formations of the Ernst equation are de}tved by ua}ing prolongation: method. As tile nonlinear realizationsp and infinite-dimensional linear realization for the prolongation structure are used, the inverse scattering equation (Lax-pair) is also derived. And the connection between BT and Lax-pair becomes evident. A systematic procedure for deriving the non-Linear realizations of the algebras is sugested based on the prolongation structure. The two knowniBackl and transformations as well as the Lax-pair of the Ernst-Maxwell equations are obtained bu the same method.     

ON THE MAGNETIC MOMENT OF W± BOSONS IN WEINBERG-SALAM MODEL

We discuss the magnetic moment of W^± bosons in W-S model. First we assume that there is no spontaneous symmetry broking. starting from the formalism of path integrals and using the gauge invariance requirement, we obtain the Ward-Takahashi identities for the 3-line VIB proper vertex functions and prove that its tensor structure is the same form as that of bare vertex couplings, which indicated the W^± bosons have neither anomalous magnetic moment nor electric quadrupole moment. For the realistic case of spontaneous symmetry breaking, we introduce in the Lagrangian an explicit symmetry breaking term. After discussing the problem of analytic continuation for mass of W^± bosons, we prove that prove that the above mentioned conclusion is still valid here.     

Analytical Results for the Critical Exponents of Fully Directed Levy Flights

In this paper we generalize the definition of Levy flight (LF). With the help of a useful definition for the critical exponents of LF by introducing the concept of cutoff steplength, we calculate analytically the exponents of FDLFs in arbitrary d dimensions, utilizing the generating function method.     

AN EXTENDED BOUNDARY INTEGRAL EQUATION METHOD FOR THE REMOVAL OF IRREGULAR FREQUENCY EFFECTS

Numerical techniques for the analysis of wave–body interactions are developed by the combined use of two boundary integral equation formulations. The velocity potential, which is expressed in a perturbation expansion, is obtained directly from the application of Green's theorem (the ‘potential formulation’), while the fluid velocity is obtained from the gradient of the alternative form where the potential is represented by a source distribution (the ‘source formulation’). In both formulations, the integral equations are modified to remove the effect of the irregular frequencies. It is well known from earlier works that if the normal velocity is prescribed on the interior free surface, inside the body, an extended boundary integral equation can be derived which is free of the irregular frequency effects. It is shown here that the value of the normal velocity on the interior free surface must be continuous with that outside the body, to avoid a logarithmic singularity in the source strength at the waterline. Thus the analysis must be carried out sequentially in order to evaluate the fluid velocity correctly: first for the velocity potential and then for the source strength. Computations are made to demonstrate the effectiveness of the extended boundary integral euations in the potential and source formulations. Results are shown which include the added-mass and damping coefficients and the first-order wave-exciting forces for simple three-dimensional bodies and the second-order forces on a tension-leg-platform. The latter example illustrates the importance of removing irregular frequency effects in the context of second-order wave loads.     

SEQUENCES OF POWERS OF TOEPLITZ OPERATORS ON THE BERGMAN SPACE

We consider Toeplitz operators Tu with symbol u on the Bergman space of the unit ball,and then study the convergences and summability for the sequences of power...     

Determination of Mercury in some TCMs (Traditional Chinese Medicines) by ICP-MS and Sepeciation of Mercury Species Using Ion-Exchange Chromatography

Cinnabar, composed mainly of HgS,is often used in Traditional Chinese Medicines as part of the active ingredients in formulated drugs to treat diseases such as epilepsy,sore throat. To gain understanding on the clinical efficacy, safety and toxicity of these TCMs, information regarding not only the total concentrations of the heavy metals, but also their different chemical species is necessary. Therefore, the development of sample treatment and analytical techniques for the accurate determination and speciation of heavy metals in TCM products are of critical importance. The dual objectives of this work are to:(1) develop a leaching procedure using simulated body fluids for bioavailability and toxicity studies, and (2) investigate the possibility of Cinnabar derived mercury to bind with other constitutes in Tian Wan Bu Xin Wan using a sequential extraction scheme.     

Determination of Organochlorine Pesticide Residues in Ganoderma Lucidum (Lingzhi) using Accelerated Solvent Extraction and Gas Chromatography with Electron Capture Detector

The residues of organochlorine pesticides (OCPs) may occur in Chinese herbal medicines (CHMs). It is needed to analyze CHMs for OCPs to evaluate the risk of CHMs to the health of consumers. The common technique for sample preparation in OCPs determination is Soxhlet extraction^[1], which is time-consumable. Meanwhile, up to the present, no standard methods have been reported exactly for the determination of OCPs in Chinese medicines. The goal of the present research is to establish an analytical method suitable for the separation and determination of OCPs in Ganoderma Lucidum (lingzhi) and it's products.     

A Validated Approach to Discovering Implication Knowledge from Empirical Data with Applications in Chemometrics

Implication knowledge is useful for drawing conclusions or confirming hypotheses based on some observed data. The challenge here is where/how to derive such knowledge. Traditional knowledge acquisition methodologies or tools have limited power in that they rely on human knowledge engineers' judgements and are applicable only under controlled situations. It would be desirable as well as imperative if we can demonstrate any automatic means of mining such implication knowledge directly from empirical data-this is because in practical applications,data samples are usually available and most importantly the automatically induced implications are less subjective and mathematically sound. As a response to this challenge, our work has developed and validated a new method of automatically discovering implication knowledge by statistically inducing the implication relationships among the data attributes in empirically-obtained sample data.     

具有十二元环开放结构磷酸锌的非水合成与表征

从非水体系中制备了 Zn2 ( HPO4) 3· H3NCH2 CH2 NH3单晶 ,用 X射线测定了晶体结构 ,用红外光谱 ,DTA-TG等方法对化合物进行了表征 .晶体属三斜晶系 ,P1空间群 .晶胞参数 a=0 .82 1 5( 3 ) nm,b=0 .8557( 3 ) nm,c=0 .9760 ( 3 ) nm,α=93 .8( 3 )°,β=95.3 8( 3 )°,γ=1 0 9.75( 3 )°,V=0 .63 94 nm3,Z=2 ,Dc=2 .50 g·cm- 3.结构中的锌和磷均与氧形成四面体配位 ,Zn O4和 HPO4四面体严格交替排列 ,骨架中的氧分为二桥氧和端氧 ,端氧只向 P原子配位 .三维开放式骨架结构中沿 a轴和 b轴方向有十二元环直孔道 ,质子化的有机胺在 a轴方向的十二元环孔道中     

微波合成碳负载纳米铂催化剂及其对甲醇氧化的电催化性能

利用微波辐射快速加热含有XC—72碳的H2PtCl6的乙二醇混合液合成了碳负载的纳米铂,铂负载的质量分数在10％～20％,实验结果表明纳米铂粒子具有均匀的尺寸和形状,其平均粒径在3．6nm,并均匀地分散在纳米碳的表面,循环伏安和恒电位极化表明微波合成的Pt/C比以KBH4作为还原剂制备Pt/C和商业得到E-TEK Pt／C催化剂对甲醇的电化学氧化具有更高的催化活性。