水中硝基苯胺类化合物酶免疫化学分析技术研究

采用戊二醛法, 将4-硝基苯乙胺与牛血清蛋白(BSA)和卵清蛋白(OVA)共价偶联, 分别合成了免疫原4-硝基苯乙胺-BSA和包被原4-硝基苯乙胺-OVA, 经紫外分光光度计及飞行时间质谱扫描鉴定. 用合成的免疫抗原免疫新西兰大白兔, 并用合成的包被原进行间接竞争酶联免疫(ELISA)试验, 获得的抗血清效价达1∶32000. 方阵实验确定了包被抗原最佳浓度(0.5 mg/L)及抗血清最佳稀释度(1∶6000), 并建立了间接竞争ELISA方法. 工作曲线表明在1～1000 μg/L浓度范围内呈良好的线性关系, 该法IC₅₀值为(52.73±2.67) μg/L, 检测限为5.12 μg/L. 其它类似结构不干扰硝基苯胺的测定. 成功地建立了硝基苯胺类化合物的间接竞争酶免疫化学分析方法．     

Inclined circular flat punch on a transversely isotropic piezoelectric half-space

Summary Utilizing the general solution of transversely isotropic piezoelectricity, the paper analyzes the problem of an inclined rigid circular flat punch indenting a transversely isotropic piezoelectric half-space. The potential theory method is employed and generalized to take into account the effect of the electric field in piezoelectric materials. Assuming that the punch is maintained at a constant electric potential, exact expressions for the elastoelectric field are derived in terms of elementary functions. It is noted that the solution corresponding to a flat circular punch centrally loaded by a concentrated force can be obtained as a special case. Received 15 December 1998; accepted for publication 9 March 1999     

L-拓扑空间中的相对强F紧性与相对超F紧性

In this paper,two concepts of relative compactness-the relative strong fuzzy compactness and the relative ultra-fuzzy compactness are defined in L-topological spaces for an arbitrary L-set.Properties of relative strong fuzzy sets and relative ultra-fuzzy compact sets are studied in detail and some characteristic theorems are given.Some examples are illustrated.     

On dispersive properties of discrete 2D Schrödinger and Klein-Gordon equations

We derive the long-time asymptotics for solutions of the discrete 2D Schrödinger and Klein-Gordon equations.     

ILL-POSEDNESS FOR THE NONLINEAR DAVEY-STEWARTSON EQUATION

The nonlinear D-S equations on R^d, with general power nonlinearity and with both the focusing and defocusing signs, are proved to be ill-posed in the Sobolev space H^s whenever the exponent s is lower than that predicted by scaling or Galilean invariance, or when the regularity is too low to support distributional solutions. Authors analyze a class of solutions for which the zero-dispersion limit provides good approximations.     

A class of Sierpinski carpets with overlaps

Based on a scheme by Lau and Ngai, a sufficient and necessary condition for an IFS of contractive similitudes to satisfy the open set condition is given. A class of Sierpinski carpets with parameters (λ₁,λ₂) is then investigated.     

完全r部图Kr（t）的{=C3，C2k}-强制分解（k≥4）的渐近存在性

研究基于顶点集V=Ui=1^rVi（其中｜Vi｜=t，i=1，2，……，r）的完全r部图Kr（t）的3圈和2k圈{C3，C2k}-强制分解（k≥4）的存在性问题．通过构造并运用Kr（t）的两种分解法，证明了Kr（t）的〈C3，C2k}-强制分解（k≥4）的渐近存在性，即对于任意给定的正整数k≥4，存在常数r0（k）=5k＋2，使得当r≥r0（k）时，Kr（t）的{C3，C2k}-强制分解存在的必要条件也是充分的．     

Applications of Tauberian theorems in some problems in mathematical physics

We give some multidimensional Tauberian theorems for generalized functions and show examples of their application in mathematical physics. In particular, we consider the problems of stabilizing the solutions of the Cauchy problem for the heat kernel equation, multicomponent gas diffusion, and the asymptotic Cauchy problem for a free Schrödinger equation in the norms of different Banach spaces among others.     

Infinitely Many Contact Process Transitions on a Tree

We continue our study of the ergodic behavior of the contact process on infinite connected graphs of bounded degree. Examples are provided of trees on which, as the infection parameter increases, complete convergence alternates between holding and failing infinitely many times.     

Batch processor sharing with hyper-exponential service time

We study the Processor Sharing queueing model with a hyper-exponential service time distribution and Poisson batch arrival process. In the case of the hyper-exponential service time distribution we find an analytical expression for the expected conditional response time function and obtain an alternative proof of its concavity with respect to the service time.