离子排斥色谱法测定人体粪便中五种短链脂肪酸

建立了一种离子排斥色谱分离测定人体粪便中5种短链脂肪酸(SCFA:乙酸、丙酸、异丁酸、丁酸、异戊酸)的方法。以体积分数0.1%磷酸为流动相、提取的样品在50℃下用Shodex Rspak KC-811离子排斥柱分离,紫外检测器在210 nm处测定其中的有机酸。被测组分的浓度与其峰面积在2.5~500 mg/L范围内呈良好的线性关系,相关系数R2≥0.999,各组分测定的相对标准偏差在2.3%~3.9%之间,平均加标回收率在85.5%~105.7%。     

正癸烷与二甲苯在超临界压力下的热裂解

采用连续流动装置对正癸烷和二甲苯在超临界压力下的热裂解对比研究. 用气相色谱和色质联用仪对其气相产物和液相产物进行分析, 计算气相产物产率和裂解转化率, 并运用计算化学方法获得正癸烷和二甲苯不同化学键的键能, 从实验和理论上分析其裂解反应的难易程度和裂解规律. 实验结果表明, 在4 MPa和650、700、750 ℃条件下, 正癸烷比二甲苯更容易裂解, 正癸烷裂解产物以C₁-C₃小分子的烃类和氢气为主, 而二甲苯裂解产物主要为乙苯、甲苯和其它芳香类化合物; 键能计算结果表明, 正癸烷碳链骨架的C－C键能和C－H键能均较小, 裂解反应的诱发步骤应该是C－C键断裂, 而二甲苯苯环上C－C和C－H键能均较大, 裂解诱发步骤应该是侧链甲基脱氢反应. 因此正癸烷裂解反应以C－C键断裂和脱氢反应为主, 二甲苯裂解主要发生侧链甲基C－C键断裂和脱氢反应, 而芳环则比较稳定, 理论计算键能分析与裂解实验结果一致.     

氮化钨-钨/掺氮有序介孔碳复合材料的制备及其氧还原性能

采用软模板法制备了氮化钨-钨/掺氮有序介孔碳复合材料（WN-W/NOMC）,作为一种高比表面积且价格低廉的阴极氧还原反应催化剂。通过适量添加尿素来改变复合材料中的氮含量,在掺氮量为7%（w/w）时,实验发现材料能够保持完整有序介孔结构,测试其比表面积高达835 m²·g^-1,透射电子显微镜（TEM）测试结果显示其催化颗粒均匀地分散在氮掺杂有序介孔碳载体上。在O₂饱和的0.1 mol·L^-1 KOH溶液中测试了材料的氧还原催化性能（ORR）,显示其起始电位为0.87 V（vs RHE）,极限电流密度为4.49 mA·cm^-2,氧还原反应的转移电子数为3.4,接近于20%（w/w）商业Pt/C的3.8,说明该材料表现出近似4电子的氧还原反应途径。研究结果表明,WN-W/NOMC的催化性能虽然稍弱于商业铂碳（0.99 V,5.1 mA·cm^-2）,但其具有远超铂碳的循环稳定性和耐甲醇毒化能力。     

室内环境中脑控轮椅的路径跟踪控制

为了实现室内环境中脑控轮椅的自主导航,提出了一种简单有效的路径跟踪控制方法。给定的路径通常被表示为一系列离散点,根据这一特点,提出了分段直线路径跟踪方法,即依次跟踪由前后两个路径点构成的直线路径到达目标点。基于预瞄点技术并结合模糊算法和传统的PID控制方法设计控制器,完成各分段直线路径的跟踪,并给出了有效的切换条件。实验结果表明,本文提出的路径跟踪控制方法能够使脑控轮椅在室内环境中精确地跟踪给定路径。     

基于ARM11的热力站远程水质监控系统设计

为实现对循环水水质的远程监测,设计并开发了一种基于嵌入式技术的热力站远程水质监测系统的监测终端。监测终端由水质传感器、GPRS模块、通信转换模块及嵌入式开发板组成。嵌入式开发板以ARM11系列的Tiny6410为硬件基础,并嵌入WinCE系统作为软件平台,同时加入SQLite数据库以实现将水质传感器采集到的氯离子、PH值、溶解氧等参数的本地存储、查询及图表显示。最后监测终端通过GPRS模块与数据中心建立无线连接,接收数据中心的配置命令,并将现场测得数据发送到远端数据中心。调试结果表明：远程监测终端实现了循环水水质远程监测的功能要求,对于实现水质自动化监测具有一定的理论意义和实用价值。     

Renormalization and conjugacy of piecewise linear Lorenz maps

We investigate the uniform piecewise linearizing question for a family of Lorenz maps. Let f be a piecewise linear Lorenz map with different slopes and positive topological entropy, we show that f is conjugate to a linear mod one transformation and the conjugacy admits a dichotomy: it is either bi-Lipschitz or singular depending on whether f is renormalizable or not. f is renormalizable if and only if its rotation interval degenerates to be a rational point. Furthermore, if the endpoints are periodic points with the same rotation number, then the conjugacy is quasisymmetric.     

非奇异H-矩阵的一类新判定

本文研究了非奇异H-矩阵的数值判定问题.利用不等式的放缩方法,获得了一类判别非奇异H-矩阵的新判据,推广了相关已有结果,并通过数值实例说明了本文结果判断范围的更广泛性.     

Context-free grammars for triangular arrays

We consider context-free grammars of the form G = {f → fb1+b2+1ga1+a2, g → fb1 ga1+1},where ai and bi are integers sub ject to certain positivity conditions. Such a grammar G gives rise to triangular arrays {T(n, k)}0≤k≤n satisfying a three-term recurrence relation. Many combinatorial sequences can be generated in this way. Let Tn (x) =∑nk=0T(n, k)xk. Based on the differential operator with respect to G, we define a sequence of linear operators Pn such that Tn+1(x) = Pn(Tn(x)). Applying the characterization of real stability preserving linear operators on the multivariate polynomials due to Borcea and Br?ndén, we obtain a necessary and sufficient condition for the operator Pn to be real stability preserving for any n. As a consequence, we are led to a sufficient condition for the real-rootedness of the polynomials defined by certain triangular arrays, obtained by Wang and Yeh.Moreover, as special cases we obtain grammars that lead to identities involving the Whitney numbers and the Bessel numbers.     

Numerical discretization-based kernel type estimation methods for ordinary differential equation models

We consider the problem of parameter estimation in both linear and nonlinear ordinary differential equation(ODE) models. Nonlinear ODE models are widely used in applications. But their analytic solutions are usually not available. Thus regular methods usually depend on repetitive use of numerical solutions which bring huge computational cost. We proposed a new two-stage approach which includes a smoothing method(kernel smoothing or local polynomial fitting) in the first stage, and a numerical discretization method(Eulers discretization method, the trapezoidal discretization method,or the Runge–Kutta discretization method) in the second stage. Through numerical simulations, we find the proposed method gains a proper balance between estimation accuracy and computational cost.Asymptotic properties are also presented, which show the consistency and asymptotic normality of estimators under some mild conditions. The proposed method is compared to existing methods in term of accuracy and computational cost. The simulation results show that the estimators with local linear smoothing in the first stage and trapezoidal discretization in the second stage have the lowest average relative errors. We apply the proposed method to HIV dynamics data to illustrate the practicability of the estimator.