基于BiB3O6晶体的飞秒光参量变换特性

对基于新型非线性晶体BiB₃O₆(BIBO)的飞秒光参量变换过程的参量特性进行了研究. 计算了BIBO晶体三个光学主平面内的相位匹配条件和有效非线性系数,确定了克尔透镜锁模钛宝石激光器的基频光与倍频光抽运时最佳的光学主平面和相位匹配方式,并分析了三波的时间走离和空间走离,以及信号光的参量增益和带宽. 为利用基于BIBO晶体的飞秒光参量技术获得高能量、宽调谐、窄脉宽的光源提供理论依据和实验指导. 关键词： 3O₆')" href="#">BiB₃O₆ 光参量变换 共线相位匹配 光学主平面     

Chemometric analysis of EDXRF measurements from fossil bone

Bone chemistry is an important source of biological and environmental information. Elemental compositions of archaeological and fossil bone have granted insight into the diets of ancient humans and other animals, as well as informing about the burial conditions of bone. Chemical studies of ancient bone can be performed non‐destructively with portable energy‐dispersive X‐ray fluorescence (EDXRF) spectrometers, which is particularly advantageous for on‐site analyses of museum specimens. Portable EDXRF instruments carry some analytical disadvantages, however, which may result in reduced precision or accuracy. Analytical shortfalls may be overcome by analysing inter‐sample trends in EDXRF spectral data instead of reported concentration measurements. We investigated the utility of statistically treating handheld EDXRF spectra from fossil bone and teeth, specifically the normalisation and mean centering of spectral data before principal component analysis. Fossil bone and tooth specimens were sourced from two Pleistocene localities in the Western Cape of South Africa, Swartklip 1 and Elandsfontein Main. Samples from the two localities could be distinguished using principal component score values, and coefficient loadings allowed chemical interpretation of the score clusters. Swartklip 1 samples were associated with elevated concentrations of Ca, indicating an additional Ca‐bearing mineral (i.e. calcite), whereas Elandsfontein Main samples were associated with elevated Fe and Sr concentrations. Fossil bone chemistry could be related to groundwater percolation through the sedimentary matrices of each locality. The methodology behind the case study presented here could readily be applied elsewhere and would be particularly useful to handheld EDXRF studies of museum specimens. Copyright © 2011 John Wiley & Sons, Ltd.     

水面油污染物差分偏振光谱信号预处理算法研究

采用差分偏振光谱法在3～5μm波段对水面溢油污染物进行被动遥感时,所测差分偏振光谱是含有强大气吸收光谱信号与油污染物目标弱光谱信号的混合谱,这给油污染物光谱特征识别带来了困难。另外,受环境因素以及油膜自身张力影响,水面油膜厚度分布以及油膜表面粗糙度在测量过程中发生变化,从而使得连续测量的差分偏振光谱中油污染物光谱信息含量存在不同。利用这一特点,基于固定点迭代的快速主成分分析算法FastPCA设计了水面溢油污染物差分偏振光谱信号预处理算法。实验结果表明,该算法可以有效地将水面油污染物目标光谱特征信息从具有强大气吸收的混合差分偏振光谱信号中提取出来,通过光谱重构得到油污染物光谱特征信号,可用于进一步的定性、定量分析。     

ZL-amenability and characters for the restricted direct products of finite groups

Let G   be a restricted direct product of finite groups _{Gi}i∈I${\{G_i\}}_{i\in I}$, and let Z?¹(G)${\mathrm{Z}?}^1(G)$ denote the centre of its group algebra. We show that Z?¹(G)${\mathrm{Z}?}^1(G)$ is amenable if and only if _Gi$G_i$ is abelian for all but finitely many i  , and characterize the maximal ideals of Z?¹(G)${\mathrm{Z}?}^1(G)$ which have bounded approximate identities. We also study when an algebra character of Z?¹(G)${\mathrm{Z}?}^1(G)$ belongs to _c0$c_0$ or ?^p${?}^p$ and provide a variety of examples.     

基于信息显著性差异的绿色产业评价指标筛选模型及实证

依据广义的绿色产业内涵,通过信息显著性差异与信息冗余分析定量筛选指标,建立了包括绿色生产指标层、绿色生态环境指标层、绿色消费方式指标层的大连市绿色产业评价指标体系。本文的创新与特色一是通过负载系数大小差异进行信息显著性分析,删除负载系数小、对综合评价结果影响弱的指标。克服了现有研究先进行相关分析剔除冗余指标,再利用负载系数大小差异筛选出反映信息显著性大的指标的弊端。事实上,指标间较高的相关性是计算负载系数的必要前提。因此,利用负载系数筛选指标前是不可进行指标的相关分析降低指标间的相关性的。二是通过结合专家知识经验辨析指标的实际含义,仅对反映信息可能重复的指标使用相关分析,剔除同指标层内相关系数较大的两个指标中反映指标层信息能力相对较弱的指标。克服了仅仅通过相关系数不能准确衡量指标间信息重复程度的弊端。研究结果表明,最终建立的指标体系通过25．68％的指标反映了97．09％的原始信息。通过与同类的指标体系进行对比,对大连市绿色产业评价指标体系的合理性做了进一步的分析。     

Forecasting retained earnings of privately held companies with PCA and L1 regression

We use proprietary data collected by SVB Analytics, an affiliate of Silicon Valley Bank, to forecast the retained earnings of privately held companies. Combining methods of principal component analysis (PCA) and L¹/quantile regression, we build multivariate linear models that feature excellent in‐sample fit and strong out‐of‐sample predictive accuracy. The combined PCA and L¹ technique effectively deals with multicollinearity and non‐normality of the data, and also performs favorably when compared against a variety of other models. Additionally, we propose a variable ranking procedure that explains which variables from the current quarter are most predictive of the next quarter's retained earnings. We fit models to the top five variables identified by the ranking procedure and thereby, discover interpretable models with excellent out‐of‐sample performance. Copyright © 2013 John Wiley & Sons, Ltd.     

一种组合数矩阵及其性质

构造了一个对称正定矩阵,矩阵元素与组合数有关,讨论了该矩阵的一些性质.根据MATLAB数值计算的结果,提出了该矩阵有关特征值性质的一些猜想.     

基于主成分—灰色关联度的黑龙江省城镇化水平综合评价

从城市和农村两方面入手,构建了城镇化水平综合评价指标体系.由于主成分分析法和灰色关联分析法各有优缺点,所以这里将主成分分析法和灰色关联分析法进行融合,在规避了两种方法的缺点后,对黑龙江省各市的城镇化水平进行了排序.最后对排序结果进行分析,给出了未来黑龙江省各市城镇化发展方向的一些建议.     

基于主成分-集对分析法的联合火力打击陆军弹药消耗预测方案评估模型研究

陆军作为联合火力打击的重要组成部分,具有反应快、火力猛、精度高、机动灵活的特点,是实施联合火力打击不可缺少的重要力量.陆军在联合火力打击中,如何快速准确的从多种弹药预测方案中分析、评估优选出最佳的陆军弹药消耗预测方案,对提高陆军快速反应能力,提升部队战斗力,打赢未来战争至关重要.为此,在分析影响联合火力打击陆军弹药消耗主要因素的基础上,构建了符合联合火力打击陆军弹药消耗特点的评估指标体系,提出了一种基于主成分和集对分析法综合分析的联合火力打击陆军弹药消耗预测方案的评估优选方法,通过方法可求得指标权重,最终评估优选出最佳的联合火力打击陆军弹药消耗预测方案.结合实例分析,验证构建的评估模型能够用于多种联合火力打击陆军弹药消耗预测方案的评估优选,为进一步提高联合火力打击陆军弹药消耗预测方案提供技术指导.