Nonparametric tests for bounds on the derivative of a regression function

We consider two tests of the null hypothesis that the k-th derivative of a regression function is uniformly bounded by a specified constant. These tests can be used to study the shape of the regression function. For instance, we can test for convexity of the regression function by setting k=2 and the constant equal to zero. Our tests are based on k-th order divided difference of the observations. The asymptotic distribution and efficacies of these tests are computed and simulation results presented.Research supported by Natural Sciences and Engineering Research Council of Canada Grant OGP0007969.Research supported by National Science Foundation Grant DMS-9306738.     

A magnetic resonance device designed via global optimization techniques

In this paper we are concerned with the design of a small low-cost, low-field multipolar magnet for Magnetic Resonance Imaging with a high field uniformity. By introducing appropriate variables, the considered design problem is converted into a global optimization one. This latter problem is solved by means of a new derivative free global optimization method which is a distributed multi-start type algorithm controlled by means of a simulated annealing criterion. In particular, the proposed method employs, as local search engine, a derivative free procedure. Under reasonable assumptions, we prove that this local algorithm is attracted by global minimum points. Additionally, we show that the simulated annealing strategy is able to produce a suitable starting point in a finite number of steps with probability one.This work was supported by CNR/MIUR Research Program Metodi e sistemi di supporto alle decisioni, Rome, Italy.Mathematics Subject Classification (1991):65K05, 62K05, 90C56     

A Fourier spectral-discontinuous Galerkin method for time-dependent 3-D Schrödinger–Poisson equations with discontinuous potentials

In this paper, we propose a high order Fourier spectral-discontinuous Galerkin method for time-dependent Schrödinger–Poisson equations in 3-D spaces. The Fourier spectral Galerkin method is used for the two periodic transverse directions and a high order discontinuous Galerkin method for the longitudinal propagation direction. Such a combination results in a diagonal form for the differential operators along the transverse directions and a flexible method to handle the discontinuous potentials present in quantum heterojunction and supperlattice structures. As the derivative matrices are required for various time integration schemes such as the exponential time differencing and Crank Nicholson methods, explicit derivative matrices of the discontinuous Galerkin method of various orders are derived. Numerical results, using the proposed method with various time integration schemes, are provided to validate the method.     

Studies on the Combined Derivative Spectrophotometry

The combined derivative spectrophotometry developed in this paper is a new method, which can be used to determine multicomporent mixture simultaneously and may improve the sensitivity and accuracy of the measurement remarkably. Two practical tests were carried out to verify the correctness of the theory, and the results are satisfactory.     

A multiplier rule on a metric space

A multiplier rule is proved for constrained minimization problems defined on a metric spaces. The proof requires a generalization of the values of a derivative in the classical case that the metric space is a normed space.     

柱前衍生-气相色谱-电子捕获法同时检测水体中的9种全氟羧酸

建立了柱前衍生-气相色谱-电子捕获(GC-ECD)法同时测定水中PFBA、PFPeA、PFHxA、PFHpA,PFOA,PFNA,PFDA,PFUnA及PFDoA等(全称见正文)9种全氟羧酸(Perfluorinated carboxylic acids,PFCAs).使用2,4-二氟苯胺(2,4-Difluoroaniline,2,4-DFA)为衍生剂,N,N'-二环己基碳二亚胺(N,N'-Dicy-clohexylcarbodiimide,DCC)为脱水剂,与PFCAs形成酰胺衍生产物,衍生产物通过TR-5毛细管色谱柱分离,并以ECD检测器进行检测.对全氟羧酸衍生化过程中2,4-DFA和DCC用量、衍生反应溶剂、反应温度、反应时间等条件进行了优化,得出最佳衍生化条件.结果表明,在最优实验条件下,9种PFCAs衍生产物的线性相关系数＞0.99,检出限为0.62～ 1.38 μg/L,相对标准偏差RSD为1.3％～7.5％.应用本方法对城市污水中全氟类羧酸进行了分析,城市污水中存在以PFPeA、PFHpA和PFOA为主的痕量PFCAs化合物,实际样品的加标回收率在84.4％ ～ 120.9％之间.本方法稳定、可靠、成本低,能够满足水样中多种全氟羧酸的同时检测的要求,可为水体中全氟化合物的污染评价提供技术支持.     

衍生气相色谱-质谱法测定水中氯代酸性除草剂

采用H2SO4加入法改变了酸性除草剂在水中的存在状态,对碱性活化点的存在与消除进行了分析,同时对不同试剂的萃取效率进行了对比,建立了衍生气相色谱-质谱法测定水中10种氯代酸性除草剂的方法。化合物检出限均低于10.0 ng/L,回收率范围为60%～120%。     

光谱法研究酸度对一种白杨素衍生物与牛血清白蛋白相互作用的影响

在3种酸度条件下,采用多种光谱技术对一种白杨素衍生物和牛血清白蛋白的相互作用进行了研究.结果表明该衍生物和牛血清白蛋白可形成基态复合物,静态、动态猝灭方式同时存在,以静态猝灭为主.通过计算获得了在不同温度及酸度条件下的结合常数及结合位点数.该衍生物在碱性条件下和牛血清白蛋白的结合能力较强.在pH 7.40的生理条件下,...