傅里叶变换红外光谱法并结合主成分分析法鉴别灯盏花和多舌飞蓬的研究

灯盏花和多舌飞蓬为菊科飞蓬属植物,由于其形态上非常相似,因此在藏医药均被叫着"美多罗米"用于清热解毒、瘟病时疫.然而,它们在现代监床应用方面存在明显的差异.为了能简便快速的鉴别灯盏花和多舌飞蓬,借助于傅里叶变换红外光谱分析,采用主成分分析法(PCA)对来自13个不同产地的灯盏花和多舌飞蓬样品在植化组成上的相似性进行了聚类分析.比较了灯盏花和多舌飞蓬之间的差异程度,结果表明FTIR结合主成分分析在反映同属不同种及不同产地的同种植物化学组成差异程度上具有重要意义.所建立的方法可以快速、简便、直观地对灯盏花和多舌飞蓬进行聚类分析和质量鉴别,也可以为其他中药材和民族药材的鉴别研究提供参考.     

水下体积目标宽带阵列尺度估计

通过研究目标声纳窄带离散回波模型,论文建立了水下体积目标宽带离散回波模型。并结合均匀线性阵列信号模型,推导出了基于散射亮点形状、距离、方位角等反映目标尺度信息参量的体积目标宽带离散线性均匀阵列回波模型,为水下体积目标探测与尺度估计提供了可靠的理论依据。仿真与实验对比结果证明了模型的正确、有效性,说明了其实用价值。     

浅海低频声场中目标深度分类方法研究

分析了浅海甚低频声场中的垂直双水听器的互谱特性,尤其关注了声场中只存在两阶简正波时声压互谱的有功分量.数值计算表明：当两个水听器的深度布放合理时,声压互谱有功分量的正负号分布与水平距离无关,选择合适的水听器深度布放组合,可以用于水面目标、水下目标的双择判决;声速分布对该方法的使用影响不大,海底存在吸收将影响算法的作用距离,但在有效作用距离内,该算法仍有较好的稳健性.运用Pekeris波导有效深度的概念建立了声压互谱有功分量正负号分布特性的近似理论分析并可预报双水听器合理的布放深度.理论分析揭示了双水听器布放深度之和应等于波导有效深度,并且在有效深度限制的波导范围内,整个声场的声压互谱有功分量的正负号分布被分为三个水平区域.理论分析加深了对浅海低频声场特性的理解,对该算法的实际使用有指导意义. 关键词： 目标深度分类 浅海低频声场 声压互谱 有功分量     

水下噪声听觉属性的主观评价与分析

为探求人耳感知水下目标类型的声学因素,研究了水下噪声听觉属性空间的维度数及其各维度的物理解释.首先通过词汇聚类分析和问卷调查确定评价水下噪声听觉属性的汉语描述词,然后完成基于成对比较法和语义细分法的主观评价实验,获得听觉属性的不相似性矩阵及各样本在不同听觉属性下的主观评价分值.最后,利用多维尺度分析确定水下噪声听觉属性空间由五个维度组成,再利用主成分分析得到独立的五个主成分,进而利用相关系数和压力值确定五个主成分分别表示听觉属性空间的五个维度,根据各个主成分对应的汉语描述词所反映的听觉属性对其进行物理解释 关键词： 听觉属性 多维尺度分析 主成分分析     

The elasto-damage theory of the components assembling model

The potential energy in materials is well approximated by pair functional which is composed of pair potentials and embedding energy. During calculating material potential energy, the orientational component and the volumetric component are derived respectively from pair potentials and embedding energy. The sum of energy of all these two kinds of components is the material potential. No matter how microstructures change, damage or fracture, at the most level, they are all the changing and breaking atomic bonds. As an abstract of atomic bonds, these components change their stiffness during damaging. Material constitutive equations have been formulated by means of assembling all components’ response functions. This material model is called the component assembling model. Theoretical analysis and numerical computing indicate that the proposed model has the capacity of reproducing some results satisfactorily, with the advantages of great conceptual simplicity, physical explicitness, and intrinsic induced anisotropy, etc. Supported by the National Natural Science Foundation of China (Grant Nos. 10572140 and 10232050) and the Ministry of Science and Technology Foundation (Grant No. 2002CB412706)     

基于参数估计线性回归模型选择的研究

关于线性回归模型选择 ,[1 ]中介绍了许多方法 ,他们均基于残差平方和下建立的选择准则 .本文试基于参数估计的理论给出一种方法 ,从参数估计的优良性质上来说 ,我们认为是合理的 .同时给出了计算方法及应用实例 .     

Positivity and Negativity of Solutions to a Schrödinger Equation in ℝ N

Weak L ² -solutions u of the Schrödinger equation, –u + q(x) u – u = f(x) in L ² , are represented by a Fourier series using spherical harmonics in order to prove the following strong maximum and anti-maximum principles in (N 2): Let ₁ denote the positive eigenfunction associated with the principal eigenvalue ₁ of the Schrödinger operator . Assume that the potential q(x) is radially symmetric and grows fast enough near infinity, and f is a `sufficiently smooth' perturbation of a radially symmetric function, f 0 and 0 f / C const a.e. in . Then u is ₁-positive for - < < ₁ (i.e., u c ₁ with c const > 0) and ₁-negative for ₁ < < ₁ + (i.e., u –c₁ with c const > 0), where > 0 is a number depending on f. The constant c > 0 depends on both and f.     

Nonparametric Inference for a Class of Stochastic Partial Differential Equations II

Consider the stochastic partial differential equationdu (t,x) = (t)u (t, x)dt + dW _Q(t,x), 0 t T where = ₂/x ₂, and is a class of positive valued functions. We obtain an estimator for the linear multiplier (t) and establish the consistency, rate of convergence and asymptotic normality of this estimator as 0.     

The Bootstrap Methodology in Statistics of Extremes—Choice of the Optimal Sample Fraction

The main objective of statistics of extremes is the prediction of rare events, and its primary problem has been the estimation of the tail index , usually performed on the basis of the largest k order statistics in the sample or on the excesses over a high level u. The question that has been often addressed in practical applications of extreme value theory is the choice of either k or u, and an adaptive estimation of . We shall be here mainly interested in the use of the bootstrap methodology to estimate adaptively, and although the methods provided may be applied, with adequate modifications, to the general domain of attraction of G, , we shall here illustrate the methods for heavy right tails, i.e. for > 0. Special relevance will be given to the use of an auxiliary statistic that is merely the difference of two estimators with the same functional form as the estimator under study, computed at two different levels. We shall also compare, through Monte Carlo simulation, these bootstrap methodologies with other data-driven choices of the optimal sample fraction available in the literature.     

A posteriori L2 error estimation on anisotropic tetrahedral finite element meshes

A new a posteriori L₂ norm error estimator is proposed for thePoisson equation. The error estimator can be applied to anisotropictetrahedral or triangular finite element meshes. The estimatoris rigorously analysed for Dirichlet and Neumann boundary conditions. The lower error bound relies on specifically designed anisotropicbubble functions and the corresponding inverse inequalities.The upper error bound utilizes non-standard anisotropic interpolationestimates. Its proof requires H² regularity of the Poisson problem,and its quality depends on how good the anisotropic mesh resolvesthe anisotropy of the problem. This is measured by a so-called‘matching function’. A numerical example supports the anisotropic error analysis.