主成分分析排序和模糊线性判别分析的生菜近红外光谱分类

贮存时间是影响生菜品质的一项重要因素,传统的贮存时间鉴别方法主要依靠人工经验,但是这种方法的准确率和可信度并不高。研究的目标是建立一种基于模糊识别的模型进行生菜光谱分析以实现生菜贮存时间的鉴别,并与其他鉴别方法作比较。为此,在当地超市购买60份新鲜生菜样品,存放于冰箱中待用。首先,通过AntarisⅡ近红外光谱检测仪采集生菜样品的近红外光谱数据,每隔12小时检测一次,每个样本检测重复三次,并取三次平均值作为实验数据。其次,利用多元散射校正(MSC)减少近红外光谱中的冗余信息。为了进一步去除近红外光谱中的无用信息以及简化随后的数据分类过程,分别运用主成分分析(PCA)和排序主成分分析(PCA Sort)。其中,PCA Sort通过改进对主成分的排序方法能提高分类准确率,同时便于模糊线性鉴别分析(FLDA)进一步提取特征。PCA和PCA Sort的计算仅运用了前15个主成分(能充分反映光谱的主要信息)。最后,利用模糊线性鉴别分析算法(FLDA)和K近邻算法(KNN)进一步分类所得的低维数据。基于PCA和KNN算法的模型鉴别准确率达到43%,而基于PCA, FLDA和KNN算法的模型鉴别准确...     

Study of a high-dimensional chaotic attractor

The nature of a very high-dimensional chaotic attractor in an infinite-dimensional phase space is examined for the purpose of studying the relationships between the physical processes occurring in the real space and the characteristics of high-dimensional attractor in the phase space. We introduce two complementary bases from which the attractor is observed, one the Lyapunov basis composed of the Lyapunov vectors and the another the Fourier basis composed of the Fourier modes. We introduce the exterior subspaces on the basis of the Lyapunov vectors and observe the chaotic motion projected onto these exteriors. It is shown that a certain statistical property of the projected motion changes markedly as the exterior subspace goes out of the attractor. The origin of such a phenomenon is attributed to more fundamental features of our attractor, which become manifest when the attractor is observed from the Lyapunov basis. A counterpart of the phenomenon can be observed also on the Fourier basis because there is a statistical one-to-one correspondence between the Lyapunov vectors and the Fourier modes. In particular, a statistical property of the high-pass filtered time series reflects clearly the difference between the interior and the exterior of the attractor.     

分光光度法同时测定多种干扰组分研究—多波长,组分（微量）加入法

本文使用组分加入法和组分微量加入法直接测得多干且分体系中各组分的共存现场摩尔吸收率。本文所述的方法将多波长法的适用范围拓宽到了组分间有相互作用的体系。     

蛇足石杉及其近缘种表征关系的FTIR主成分分析

蛇足石杉是一种重要药用植物,其种内变异程度高,近缘种多,植株体型小,可供鉴别性状少。运用OMNI采样器-傅里叶变换红外光谱直接测定法,获得了蛇足石杉(Huperzia Serrata)及其5个近缘种：四川石杉(Huperzia Sutchueniana)、闽浙马尾杉(Phlegmariurus Mingchegensis)、石松(Lycopodium Japonicum)、深绿卷柏(Selaginella Doederleinii)和异穗卷柏(Selaginella Heterostachys)16个叶片样品的红外光谱,以666～3 145 cm-1范围内吸收峰吸光度为指标,以红外光谱图为对象,应用主成分分析(Principal Component Analysis),比较了16个样品在红外光谱上的差异程度。发现基于傅里叶变换红外光谱的主成分分析排序图能够在一定程度上表征16个样品的分类关系。应用FTIR直接测定法能够鉴别蛇足石杉及其近缘物种。     

微波消解-原子吸收法分析并比较四种贝母中的微量元素

利用火焰原子吸收分光光度法(FAAS)及石墨炉原子吸收分光光度法(GFAAS)测定了浙贝、象贝、东贝、川贝4种贝母中15种微量元素的含量。同时考察了不同微波消解条件对分析结果的影响, 确定了原子吸收分光光度法测定的最佳条件,并且以微量元素含量作为指标对其进行了主成分分析。实验结果表明, 微波消解法操作简便、快速、样品消解完全, 空白值低, 选择性好, 方法相对标准偏差小于3.96%,回收率在91.0%～108.7%。主成分分析法在反映不同样品微量元素含量的差异程度上具有应用价值。     

冬小麦冻害胁迫高光谱分析与冻害严重度反演

对冬小麦冻害严重度的精确反演是及时采取补救措施降低损失的关键,同时及时预测产量损失对政府职能部门也具有积极意义。针对冬小麦冻害群体严重度评估方法在经典统计反演模型存在估算效果不理想的情况下,以冬小麦为试验对象,首先对冬小麦冠层光谱反射率数据进行重采样平滑处理,再用主成分分析(PCA)技术对高光谱数据进行分析,进一步实现综合原始光谱主成分信息作为自变量参与冬小麦冻害严重度反演过程,最后采用决定系数R2、均方根误差RMSE、准确度Accuracy三种模型精度验证方法对模型进行评价。结果显示,基于主成分分析法建立冬小麦冻害严重度模型精度分别达0.697 5,0.184 2和0.697 5;同时对反演模型进行验证,其精度也分别达到0.630 9,0.350 3和1.339 6。因此,该方法能有效地对冬小麦冻害严重度进行快速、精确的反演。     

Dual solutions in boundary layer flow of a moving fluid over a moving permeable surface in presence of prescribed surface temperature and thermal radiation

An analysis of the heat transfer for a boundary layer forced convective flow past a moving permeable flat surface parallel to a moving fluid is presented. Prescribed surface temperature at the boundary is considered. A thermal radiation term in the energy equation is considered. The similarity solutions for the problem are obtained and the reduced ordinary differential equations are solved numerically. To support the validity of the numerical results, a comparison is made with the available results for some particular cases of this study. Dual solutions exist when the surface and the fluid move in the opposite directions.     

Sub-leading flow modes in PbPb collisions at sNN = 2.76 TeV from the HYDJET++ model

Recent LHC results on the appearance of sub-leading flow modes in PbPb collisions at 2.76 TeV, related to initial-state fluctuations, are analyzed and interpreted within the HYDJET++ model. Using the newly introduced Principal Component Analysis (PCA) method applied to two-particle azimuthal correlations extracted from the model calculations, the leading and sub-leading flow modes are studied as a function of the transverse momentum (p_T) over a wide centrality range. The leading modes of the elliptic (v₂⁽¹⁾) and triangular (v₃⁽¹⁾) flow calculated with the HYDJET++ model reproduce rather well the v₂{2} and v₃{2} coefficients measured experimentally using the two-particle correlations. Within the p_T ≤ 3 GeV/c range, where hydrodynamics dominates, the sub-leading flow effects are greatest at the highest p_T of around 3 GeV/c. The sub-leading elliptic flow mode (v₂⁽²⁾), which corresponds to the n = 2 harmonic, has a small non-zero value and slowly increases from central to peripheral collisions, while the sub-leading triangular flow mode (v₃⁽²⁾), which corresponds to the n = 3 harmonic, is even smaller and does not depend on centrality. For n = 2, the relative magnitude of the effect measured with respect to the leading flow mode shows a shallow minimum for semi-central collisions and increases for very central and for peripheral collisions. For the n = 3 case, there is no centrality dependence. The sub-leading flow mode results obtained from the HYDJET++ model are in rather good agreement with the experimental measurements of the CMS Collaboration.     

不同产地亚麻籽矿物质元素及脂肪酸组成的主成分分析

亚麻籽是一种具有食用与药用价值的生物质,富含多种营养物质与矿物质元素。我国是亚麻籽的主要产地之一,为探讨不同产地亚麻籽中矿物质元素与脂肪酸组成的主要特征成分,采用电感耦合等离子体质谱法(ICP-MS)分析了10个产地亚麻籽中的17种矿物质元素,利用气相色谱-质谱联用法(GC-MS)分析了于相同条件下提取的10个产地亚麻籽油脂中的脂肪酸组成。采用主成分分析法对10个产地亚麻籽中的矿物质元素及脂肪酸组成进行了分析,探讨了不同产地亚麻籽矿物质元素及脂肪酸组成的差异,分析了矿物质元素及脂肪酸的主要特征成分。结果表明,K,Sr,Mg,Ni,Co,Cr,Cd,Se,Zn和Cu是亚麻籽的主要特征矿物质元素,C16∶0,C18∶0,C18∶2,C18∶3,C20∶0,C20∶1是亚麻籽油脂的主要特征脂肪酸。ICP-MS和GC-MS结合主成分分析,可有效揭示不同产地亚麻籽中矿物质元素与脂肪酸组成的特征与差异,进而为亚麻籽的合理、有效利用提供重要的理论依据。     

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)