传递辛矩阵群收敛于辛Lie群

通过作用量变分原理,给出了Hamilton正则方程离散积分的传递辛矩阵表示,利用Hamil-ton正则方程给出了其对应的Lie代数。说明了当时间区段长度趋近于0时,离散系统积分的传递辛矩阵群收敛于连续时间Hamilton系统微分方程分析积分得到的辛Lie群。     

基于PGMA的亚氨乙酸型复合螯合吸附材料IDAA-PGMA-SiO_2的制备

凭借偶联剂γ-(甲基丙烯酰氧)丙基三甲氧基硅烷的媒介作用,在溶液聚合体系中,采用"接出"法将单体甲基丙烯酸缩水甘油酯(GMA)接枝于微米级硅胶微粒表面,制得了接枝微粒PGMA-SiO2,使亚氨二乙酸(IDAA)与接枝PGMA的环氧基团发生开环反应,将IDAA基团引入接枝微粒表面,制得了复合螯合微粒IDAA-PGMA-SiO2。重点考察了接枝聚合的影响因素,并初步考察了螯合微粒IDAA-PGMA-SiO2对稀土离子的吸附行为。研究结果表明:已接枝到硅胶表面的聚合物层,会对后续的接枝聚合产生阻隔作用。温度及引发剂用量等因素显著影响接枝度,在适宜条件下可制得接枝度为17.48 g/100 g的接枝微粒PGMA-SiO2。在配位螯合作用下,接枝微粒对稀土Eu3+呈现强吸附能力。     

模糊抗差自适应粒子滤波及其在组合导航中的应用

在研究模糊控制理论的基础上,吸收了粒子滤波、自适应滤波和抗差估计的优点,提出一种新的模糊抗差自适应粒子滤波算法。文中根据量测向量中的粗差对状态向量滤波的影响,建立抗差自适应粒子滤波模型,获得自适应因子,然后对滤波处理后的数据残差基于模糊理论构造等价权函数,利用等价权函数和自适应因子合理地分配信息,因而可以达到一般滤波方法无法达到的滤波精度,且能有效地控制粗差对导航解的影响。最后,将该算法应用到组合导航系统中,并进行仿真验证。仿真结果证明,文中提出的模糊抗差自适应粒子滤波算法的滤波精度相对于扩展Kalman滤波和粒子滤波提高了3至5倍,明显提高了导航定位精度,且计算简单,便于实时性计算。     

Generalized dressing method for the extended two-dimensional Toda lattice hierarchy and its reductions

In this paper, we solve the extended two-dimensional Toda lattice hierarchy (ex2DTLH) by the generalized dressing method developed in Liu-Lin-Jin-Zeng (2009). General Casoratian determinant solutions for this hierarchy are obtained. In particular, explicit solutions of soliton-type are formulated by using the τ-function in the form of exponential functions. The periodic reduction and one-dimensional reduction of ex2DTLH are studied by finding the constraints. Many reduced systems are shown, including the pe...     

Banach空间中一类映像的三重迭代法

利用赋范线性空间X的凸性模定义,以及凸性模的单调性及半紧性条件,研究了渐近非扩张映射不动点的三步迭代法.减弱了许多条件,从而推广了同类问题的某些结果.     

五像限法太阳自动跟踪仪

介绍由两心圆组成的等面积五像限光测量装置工作原理，即当光线与光电池垂直时其投影光斑经过一透镜后正好安全覆盖五片光电池，当光线与光电池成一夹角时，其投影光斑必然发生偏移，将光主在光电池上的偏移转移成光电流差值的变化，实现装置自动跟踪太阳。     

Spectroscopic analysis of asymmetric top free radicals——Application to pure rotational spectra of NO_2 in the ground vibronic state

Several key problems involved in the analyses of spectra of asymmetric top molecules, i.e., the effective Hamiltonian, the representation and basis vector, identification of energy levels, the selection rules, the relative intensity, and Zeeman tuning rate, were elucidated systematically. Introducing the high-order centrifugal distortion terms into the effective Hamiltonian, the precision for calculation has been improved substantially, which allows us to analyze the high-lying rotational transitions. A global analysis of all available spectra of 14N16O2 in the ground vibronic state has been made to obtain a set of molecular constants of 14N16O2 in the ground vibronic state which is the most precise and extensive so far. Using the improved parameters, some FIR LMR lines left unassigned hitherto have been identified successfully.     

华南沿海黄色粉土沉积的激光粒度分析及其成因讨论

在华南沿海地区的低矮丘陵及台地上，广泛发育一套黄色粉土堆积。对该区7个典型剖面进行系统的激光粒度分析，并与典型黄土以及研究区常见的海、河相沉积进行对比。结果表明，华南沿海各黄色粉土剖面均以10～50 μm的粗粉砂为众数粒组，<5 μm的粘粒为次众粒组，分别对应风成黄土的“基本粒组”和“挟持粒组”，岩性均属于粘土质粉砂。样品的粒度参数、粒度散点图、频率分布曲线、粒度指数特征均显示为典型的风成成因。粒度判别分析结果为负值，同样证实了黄色粉土的风成特性。华南沿海黄色粉土的各项粒度特征指标及其所反映的沉积类型、沉积环境均与我国典型黄土具有较好的可比性，而与研究区的海、河相沉积截然不同。     

A New Triterpenoid Glycoside from Decaisnea Fargesii

Deculsnea./al..gesiiFranch.IsatraditionalChinesemedicinalplantwidely'distributedinChina.usedasananti-rheumaticandalltitussivedrugforalongtimeinChinesefolkmedicine'.Itsmethanolextractshowedantitunlouracidityif71)if)oagainstS:sl},HepaandEhrlichcellsanditsphytochemicalstudiesonsaponinshasreported'.Asacontinuationofthestudiesonthisplant,wepresentthespectralandchemicalevidenceofthestructureofanewdecaisosideF.Thedriedstems(2.23kg)werepercolated\vith95%EtOH.Afterremovalofthepercolatesb}evaporat…